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40132034051004 = 22327159254103377
BaseRepresentation
bin10010001111111111101111…
…01000100011101110111100
312021002120210110021202100200
421013333313220203232330
520230010401204113004
6221204222452123500
711311305134002650
oct1107776750435674
9167076713252320
1040132034051004
1111872999a88895
124601a35006590
1319515859a946c
149ca587b84a60
15498dd641c239
hex247ff7a23bbc

40132034051004 has 36 divisors (see below), whose sum is σ = 115936987259184. Its totient is φ = 11466295443072.

The previous prime is 40132034050993. The next prime is 40132034051027. The reversal of 40132034051004 is 40015043023104.

It is a happy number.

40132034051004 is a `hidden beast` number, since 40 + 1 + 3 + 203 + 405 + 10 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×401320340510042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79627051437 + ... + 79627051940.

Almost surely, 240132034051004 is an apocalyptic number.

It is an amenable number.

40132034051004 is an abundant number, since it is smaller than the sum of its proper divisors (75804953208180).

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

40132034051004 is a wasteful number, since it uses less digits than its factorization.

40132034051004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159254103394 (or 159254103389 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40132034051004 its reverse (40015043023104), we get a palindrome (80147077074108).

The spelling of 40132034051004 in words is "forty trillion, one hundred thirty-two billion, thirty-four million, fifty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 159254103377 318508206754 477762310131 637016413508 955524620262 1114778723639 1433286930393 1911049240524 2229557447278 2866573860786 3344336170917 4459114894556 5733147721572 6688672341834 10033008512751 13377344683668 20066017025502 40132034051004