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40103769118068 = 22324672385425239
BaseRepresentation
bin10010001111001011000101…
…11010011001010101110100
312020222212211121211101112200
421013211202322121111310
520224030004343234233
6221143230040344500
711306254533020445
oct1107454272312564
9166885747741480
1040103769118068
1111861a05189387
1245b8467175130
13194b9ccc1b086
149c9065d4d2cc
154982cecc2313
hex247962e99574

40103769118068 has 36 divisors (see below), whose sum is σ = 101590490121120. Its totient is φ = 13339297930896.

The previous prime is 40103769118003. The next prime is 40103769118099. The reversal of 40103769118068 is 86081196730104.

40103769118068 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 376 + 91 + 180 + 6 + 8 = 666.

40103769118068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×401037691180682 (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 (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1192695808 + ... + 1192729431.

It is an arithmetic number, because the mean of its divisors is an integer number (2821958058920).

Almost surely, 240103769118068 is an apocalyptic number.

It is an amenable number.

40103769118068 is an abundant number, since it is smaller than the sum of its proper divisors (61486721003052).

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

40103769118068 is a wasteful number, since it uses less digits than its factorization.

40103769118068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385425716 (or 2385425711 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 40103769118068 in words is "forty trillion, one hundred three billion, seven hundred sixty-nine million, one hundred eighteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 467 934 1401 1868 2802 4203 5604 8406 16812 2385425239 4770850478 7156275717 9541700956 14312551434 21468827151 28625102868 42937654302 85875308604 1113993586613 2227987173226 3341980759839 4455974346452 6683961519678 10025942279517 13367923039356 20051884559034 40103769118068