What's a nice number?

A "nice number" is subjective but usually means numbers that are pleasing, easy to work with, or have interesting patterns, often round numbers (10, 100), numbers with repeating digits (333), palindromes (121), or those with special mathematical properties, like lucky numbers (1, 3, 7, 9...) or numbers ending in 3 or 7 in some definitions. It can also refer to Friedman numbers (like 127, using its digits to form the number) or just numbers with personal meaning like birthdays.

What is a nice number?

We call a positive integer number N nice if N has an even number of digits, and has the property that if we insert one multiplication sign in the exact middle of its digits, then we get that the result of the multiplication is a divisor of N. Identify all nice numbers.

Is 12345678910987654321 a prime number?

The number 12,345,678,910,987,654,321 is indeed prime. It consists of 20 digits and is really easy to remember: count to 10 and then count backward again until you get to 1. But it has been unclear whether other primes take the palindromic form of starting at 1, ascending to the number n and then descending again.

Why is 2520 a special number?

The number 2520 is special because it's the smallest positive integer perfectly divisible by all integers from 1 to 10, making it the Least Common Multiple (LCM) of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and it has fascinating connections to time (7 days x 30 days x 12 months = 2520) and various mathematical properties like being a highly composite number and the product of five consecutive integers (3×4×5×6×7). 

Why is 69 a cool number?

69 is when two people love each other and stick their genitals in/over each others mouths. At the same time. This is usually achieved when one partner is flipped upside down/rotated 180 degrees in relation to the other partner.

We Thought This Particle Was Impossible To Measure!

Why is 13 a cool number?

The number 13 is cool because it defies its "unlucky" reputation with positive connections to history (13 colonies, baker's dozen), pop culture (Taylor Swift, famous athletes), mythology (Zeus), and unique math properties, representing transformation, individuality, and powerful feminine energy in various traditions, despite its association with bad luck in Western superstition. 

Why is 7 such a cool number?

In the metaphysical philosophy of numerology, the number 7 signifies the Greek deity Athena and the Roman deity Minerva, both goddesses of war and the city protectress. People affiliated with the number seven are believed to be insightful, intuitive, truthful, introspective, intellectual, and wise.

Why is 142857 special?

142857 is the best-known cyclic number in base 10, being the six repeating digits of ⁠1/7⁠ (0. 142857).

What is a rare number?

A "rare number" isn't one single definition but usually refers to numbers with highly specific, unusual properties in mathematics, like a Munchausen number (digit to its own power, e.g., 3435) or a number where adding/subtracting its reverse yields a perfect square (e.g., 65), or even collectible fancy serial numbers on currency. The meaning depends heavily on the context, from number theory problems to currency collecting. 

What is the number 1729?

1729 is the natural number following 1728 and preceding 1730. It is the first nontrivial taxicab number, expressed as the sum of two cubic positive integers in two different ways. It is known as the Ramanujan number or Hardy–Ramanujan number after G. H.

Is 1000000000000066600000000000001 a prime?

Due to the superstitious significance of the numbers it contains, the palindromic prime 1000000000000066600000000000001 is known as Belphegor's Prime, named after Belphegor, one of the seven princes of Hell.

Is 170141183460469231731687303715884105727 prime number?

Using this algorithm with hand computations on paper, Lucas showed in 1876 that the 39-digit number (2127 – 1) equals 170,141,183,460,469,231,731,687,303,715,884,105,727, and that value is prime. Also known as M127, this number remains the largest prime verified by hand computations.

What is this number 1000000000000000000000000?

Quintillion is the denomination used for large numbers. A quintillion is the number name for 10 raised to the power of 18, that is, one followed by 18 zeros. In the International numeral system, a quintillion has 6 groups of zeros in 3, that is, 1,000,000,000,000,000,000.

Is 777 bad luck or goodluck?

The number 777 is overwhelmingly considered good, symbolizing luck, divine perfection, spiritual awakening, and excellent financial creditworthiness (a 777 credit score is "Very Good" to "Excellent"). It signifies spiritual guidance, good fortune in gambling (jackpots), and financial freedom, representing high trustworthiness and potential for low interest rates. 

Why is 52 an untouchable number?

The number 52 is an "untouchable number" because it's a rare number that can't be formed by adding up the proper divisors (all divisors except the number itself) of any other integer, making it a member of a special set of numbers that are "untouched" by this specific mathematical operation, joining other untouchables like 2 and 5 in this category. 

How rare is 1%?

One percent (1%) is a low but noticeable frequency, meaning 1 in 100 occurrences, falling between "common" (1-10%) and "uncommon" (0.1-1%) in many medical/scientific contexts, but it's not considered "rare" (0.01-0.1%) or "very rare" (below 0.01%) by stricter standards; it's like finding one faulty item in a batch of 100, or having a 1 in 100 chance of a specific event in one attempt. 

Why is 42 so special?

According to Wikipedia –a source we all believe in blindly–, the number 42 is, in Douglas Adams' novel, The Hitchhiker's Guide to the Galaxy, the "Answer to the Ultimate Question of Life, the Universe and Everything", calculated by an enormous supercomputer called Deep Thought over a period of 7.5 million years.

What are the top 3 luckiest numbers?

The Luckiest Numbers in America Revealed: Top 5: 10, 15, 1, 38...

• Number 10. Appearing 628 times, Number 10 is officially the luckiest number in America. ...
• Number 15. Also hitting 628 draws, Number 15 dominates Arkansas and North Dakota.
• Number 1. ...
• Number 38. ...
• Number 8.

Is 0.3333333333333 a rational number?

-3 = -3/1, a fraction of two integers. Identify this number as a rational number or an irrational number: 0.3333333333333. 0.33333... is a rational number.

What does '<' mean?

In mathematical writing, the less-than sign is typically placed between two values being compared and signifies that the first number is less than the second number. Examples of typical usage include 1 < 4 and −2 < 0. <

Why is 7 a popular number?

This is potentially because the number seven is considered lucky in many cultures. It is frequently used to describe positive or universally accepted things. For instance, it is the number of days in a week, the wonders of the world, the number of colors of the rainbow, and the number of continents in the world.

Is 7 lucky or 9?

The number 7 is often considered lucky, and it has a definite mystique, perhaps because it is a prime number—that is, it cannot be obtained by multiplying two smaller numbers together.

Why is God obsessed with 7?

The number 7 is considered "God's number" primarily in the Bible and Abrahamic faiths because it symbolizes perfection, completion, and divine wholeness, originating from the seven days of Creation where God finished His work and rested on the seventh day (Sabbath). This foundational event established the seven-day week, and the number reappears throughout scripture in significant contexts like purification rituals, prophecies, and apocalyptic visions (e.g., seven churches, seals, trumpets in Revelation) to signify divine order and fulfillment. 

Why do people love 7?

People like the number 7 due to a powerful mix of cultural, religious, and psychological factors, making it seem universally lucky and significant, appearing in everything from the 7 days of the week and rainbow colors to biblical stories of perfection and the brain's "magical number seven, plus or minus two" memory limit. Its prevalence in ancient wonders, religions (like 7 heavens), and pop culture (like James Bond's "007") reinforces its status as a special, complete, and mystical number.