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134545511446641 = 325314913669138493
BaseRepresentation
bin11110100101111001010001…
…011010100111100001110001
3122122101102111000201201220100
4132211321101122213201301
5120113343201412243031
61154053204335303013
740224410125412511
oct3645712132474161
9578342430651810
10134545511446641
1139963481687809
121310b9a367aa69
135a0c783371a69
142532074c85841
151084c8694ede6
hex7a5e516a7871

134545511446641 has 48 divisors (see below), whose sum is σ = 199355326794000. Its totient is φ = 87406950099456.

The previous prime is 134545511446639. The next prime is 134545511446669. The reversal of 134545511446641 is 146644115545431.

134545511446641 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 4 + 551 + 1 + 4 + 46 + 6 + 41 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5315883584400 + 129229627862241 = 2305620^2 + 11367921^2 .

It is not a de Polignac number, because 134545511446641 - 21 = 134545511446639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (134545561446641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971427591 + ... + 971566083.

It is an arithmetic number, because the mean of its divisors is an integer number (4153235974875).

Almost surely, 2134545511446641 is an apocalyptic number.

It is an amenable number.

134545511446641 is a deficient number, since it is larger than the sum of its proper divisors (64809815347359).

134545511446641 is a wasteful number, since it uses less digits than its factorization.

134545511446641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152370 (or 152367 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 134545511446641 in words is "one hundred thirty-four trillion, five hundred forty-five billion, five hundred eleven million, four hundred forty-six thousand, six hundred forty-one".

Divisors: 1 3 9 53 149 159 447 477 1341 7897 13669 23691 41007 71073 123021 138493 415479 724457 1246437 2036681 2173371 6110043 6520113 7340129 18330129 20635457 22020387 61906371 66061161 107944093 185719113 323832279 971496837 1093679221 1893060817 3281037663 5679182451 9843112989 17037547353 100332223301 282066061733 300996669903 846198185199 902990009709 2538594555597 14949501271849 44848503815547 134545511446641