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137112416863443 = 3473312143340913
BaseRepresentation
bin11111001011001111111000…
…111001101100010011010011
3122222110211010002010121220000
4133023033320321230103103
5120432422212204112233
61203340324051021043
740611021336432360
oct3713177071542323
9588424102117800
10137112416863443
113a76305a89598a
121346537ab9a783
135b6785101bc08
1425c03c2587467
1510cb91e147d13
hex7cb3f8e6c4d3

137112416863443 has 80 divisors (see below), whose sum is σ = 234900022511616. Its totient is φ = 78076566247680.

The previous prime is 137112416863441. The next prime is 137112416863459. The reversal of 137112416863443 is 344368614211731.

137112416863443 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 124 + 16 + 8 + 63 + 443 = 666.

It is not a de Polignac number, because 137112416863443 - 21 = 137112416863441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137112416863443.

It is not an unprimeable number, because it can be changed into a prime (137112416863441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 402021355 + ... + 402362267.

Almost surely, 2137112416863443 is an apocalyptic number.

137112416863443 is a deficient number, since it is larger than the sum of its proper divisors (97787605648173).

137112416863443 is a wasteful number, since it uses less digits than its factorization.

137112416863443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343406 (or 343397 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 137112416863443 in words is "one hundred thirty-seven trillion, one hundred twelve billion, four hundred sixteen million, eight hundred sixty-three thousand, four hundred forty-three".

Divisors: 1 3 7 9 21 27 63 81 189 331 567 993 2143 2317 2979 6429 6951 8937 15001 19287 20853 26811 45003 57861 62559 135009 173583 187677 340913 405027 709333 1022739 1215081 2127999 2386391 3068217 4965331 6383997 7159173 9204651 14895993 19151991 21477519 27613953 44687979 57455973 64432557 112842203 134063937 193297671 338526609 402191811 730576559 789895421 1015579827 2191729677 2369686263 3046739481 5114035913 6575189031 7109058789 9140218443 15342107739 19725567093 21327176367 46026323217 59176701279 63981529101 138078969651 241820841029 414236908953 725462523087 1692745887203 2176387569261 5078237661609 6529162707783 15234712984827 19587488123349 45704138954481 137112416863443