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131141324323040 = 2555913892089441
BaseRepresentation
bin11101110100010110111000…
…000011010011100011100000
3122012022222200101002011200112
4131310112320003103203200
5114142104413011314130
61142525254231110452
736423435161323103
oct3564267003234340
9565288611064615
10131141324323040
11388707a5807809
1212860098212428
13582375c8b59c5
1424553b9a8673a
151026447e28495
hex7745b80d38e0

131141324323040 has 48 divisors (see below), whose sum is σ = 315072588544560. Its totient is φ = 51567436001280.

The previous prime is 131141324323027. The next prime is 131141324323063. The reversal of 131141324323040 is 40323423141131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131141324322988 and 131141324323006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6946035281 + ... + 6946054160.

It is an arithmetic number, because the mean of its divisors is an integer number (6564012261345).

Almost surely, 2131141324323040 is an apocalyptic number.

131141324323040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141324323040 is an abundant number, since it is smaller than the sum of its proper divisors (183931264221520).

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

131141324323040 is a wasteful number, since it uses less digits than its factorization.

131141324323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13892089515 (or 13892089507 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131141324323040 its reverse (40323423141131), we get a palindrome (171464747464171).

The spelling of 131141324323040 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 4720 9440 13892089441 27784178882 55568357764 69460447205 111136715528 138920894410 222273431056 277841788820 444546862112 555683577640 819633277019 1111367155280 1639266554038 2222734310560 3278533108076 4098166385095 6557066216152 8196332770190 13114132432304 16392665540380 26228264864608 32785331080760 65570662161520 131141324323040