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3115431241132 = 2273126319996827
BaseRepresentation
bin101101010101011110001…
…011000010010110101100
3102000211110202111220000011
4231111132023002112230
5402020400344204012
610343113115343004
7441040201421560
oct55253613022654
912024422456004
103115431241132
11aa1279797721
1242395b751a64
13197a26317b52
14aab055556a0
155608d5781a7
hex2d55e2c25ac

3115431241132 has 96 divisors (see below), whose sum is σ = 6460489728000. Its totient is φ = 1286368983360.

The previous prime is 3115431241067. The next prime is 3115431241133. The reversal of 3115431241132 is 2311421345113.

It is a happy number.

3115431241132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 3115431241094 and 3115431241103.

It is not an unprimeable number, because it can be changed into a prime (3115431241133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456336303 + ... + 456343129.

It is an arithmetic number, because the mean of its divisors is an integer number (67296768000).

Almost surely, 23115431241132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3115431241132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230244864000).

3115431241132 is an abundant number, since it is smaller than the sum of its proper divisors (3345058486868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3115431241132 is a wasteful number, since it uses less digits than its factorization.

3115431241132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131 (or 9129 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

Adding to 3115431241132 its reverse (2311421345113), we get a palindrome (5426852586245).

The spelling of 3115431241132 in words is "three trillion, one hundred fifteen billion, four hundred thirty-one million, two hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 263 434 526 868 1052 1841 1999 3682 3998 6827 7364 7996 8153 13654 13993 16306 27308 27986 32612 47789 55972 57071 61969 95578 114142 123938 191156 211637 228284 247876 423274 433783 525737 846548 867566 1051474 1481459 1735132 1795501 2102948 2962918 3591002 3680159 5925836 7182004 7360318 12568507 13647173 14720636 16297847 25137014 27294346 32595694 50274028 54588692 55660531 65191388 95530211 111321062 114084929 191060422 222642124 228169858 382120844 389623717 423062363 456339716 779247434 846124726 1558494868 1692249452 2961436541 3589206499 5922873082 7178412998 11845746164 14356825996 25124445493 50248890986 100497781972 111265401469 222530802938 445061605876 778857810283 1557715620566 3115431241132