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131345022144504 = 23373711532106451
BaseRepresentation
bin11101110111010100100101…
…011000110100111111111000
3122020001110110102110122121110
4131313110211120310333320
5114203424101132111004
61143203023054240320
736444236043251520
oct3567244530647770
9566043412418543
10131345022144504
113893a12492aa03
12128936661b60a0
135839a23044ccc
1424611c0cdc680
15102b8bad33589
hex777525634ff8

131345022144504 has 64 divisors (see below), whose sum is σ = 375272681091840. Its totient is φ = 37527030259200.

The previous prime is 131345022144461. The next prime is 131345022144533. The reversal of 131345022144504 is 405441220543131.

It is a super-2 number, since 2×1313450221445042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61300479 + ... + 63406929.

It is an arithmetic number, because the mean of its divisors is an integer number (5863635642060).

Almost surely, 2131345022144504 is an apocalyptic number.

131345022144504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131345022144504 is an abundant number, since it is smaller than the sum of its proper divisors (243927658947336).

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

131345022144504 is a wasteful number, since it uses less digits than its factorization.

131345022144504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477620 (or 2477616 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 131345022144504 its reverse (405441220543131), we get a palindrome (536786242687635).

The spelling of 131345022144504 in words is "one hundred thirty-one trillion, three hundred forty-five billion, twenty-two million, one hundred forty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 371153 742306 1113459 1484612 2106451 2226918 2598071 2969224 4212902 4453836 5196142 6319353 7794213 8425804 8907672 10392284 12638706 14745157 15588426 16851608 20784568 25277412 29490314 31176852 44235471 50554824 58980628 62353704 88470942 117961256 176941884 353883768 781815608003 1563631216006 2345446824009 3127262432012 4690893648018 5472709256021 6254524864024 9381787296036 10945418512042 16418127768063 18763574592072 21890837024084 32836255536126 43781674048168 65672511072252 131345022144504