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137141414454457 = 7298596221126421
BaseRepresentation
bin11111001011101010111001…
…010010101110010010111001
3122222120120221222012212122101
4133023222321102232102321
5120433411104100020312
61203401521314023401
740613066045045140
oct3713527122562271
9588516858185571
10137141414454457
113a774390210236
121346ab12277b61
135b6a4c28124aa
1425c1973818757
1510cc569c66a57
hex7cbab94ae4b9

137141414454457 has 32 divisors (see below), whose sum is σ = 162353761977600. Its totient is φ = 113345097465600.

The previous prime is 137141414454397. The next prime is 137141414454469. The reversal of 137141414454457 is 754454414141731.

It is a de Polignac number, because none of the positive numbers 2k-137141414454457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137141414454398 and 137141414454407.

It is not an unprimeable number, because it can be changed into a prime (137141414452457) 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, 1084736107 + ... + 1084862527.

It is an arithmetic number, because the mean of its divisors is an integer number (5073555061800).

Almost surely, 2137141414454457 is an apocalyptic number.

It is an amenable number.

137141414454457 is a deficient number, since it is larger than the sum of its proper divisors (25212347523143).

137141414454457 is a wasteful number, since it uses less digits than its factorization.

137141414454457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133537.

The product of its digits is 15052800, while the sum is 55.

The spelling of 137141414454457 in words is "one hundred thirty-seven trillion, one hundred forty-one billion, four hundred fourteen million, four hundred fifty-four thousand, four hundred fifty-seven".

Divisors: 1 7 29 203 859 6013 6221 24911 43547 126421 174377 180409 884947 1262863 3666209 5343839 25663463 37406873 108595639 154971331 760169473 786465041 1084799317 3149273531 5505255287 22044914717 22807486189 159652403323 675573470219 4729014291533 19591630636351 137141414454457