Search a number
-
+
40035631664776 = 231137113108813767
BaseRepresentation
bin10010001101001100001011…
…00110101000111010001000
312020202100222000012010102111
421012212011212220322020
520221420433201233101
6221052040522312104
711301323163150226
oct1106460546507210
9166670860163374
1040035631664776
111183601a391210
1245a7210058634
131945461622987
149c5a40851b16
15496642e72251
hex2469859a8e88

40035631664776 has 64 divisors (see below), whose sum is σ = 84848623735680. Its totient is φ = 17549484180480.

The previous prime is 40035631664771. The next prime is 40035631664779. The reversal of 40035631664776 is 67746613653004.

It is a super-2 number, since 2×400356316647762 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40035631664776.

It is not an unprimeable number, because it can be changed into a prime (40035631664771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54038956 + ... + 54774811.

It is an arithmetic number, because the mean of its divisors is an integer number (1325759745870).

Almost surely, 240035631664776 is an apocalyptic number.

It is an amenable number.

40035631664776 is an abundant number, since it is smaller than the sum of its proper divisors (44812992070904).

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

40035631664776 is a wasteful number, since it uses less digits than its factorization.

40035631664776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108813934 (or 108813930 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 58.

The spelling of 40035631664776 in words is "forty trillion, thirty-five billion, six hundred thirty-one million, six hundred sixty-four thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 22 37 44 74 88 113 148 226 296 407 452 814 904 1243 1628 2486 3256 4181 4972 8362 9944 16724 33448 45991 91982 183964 367928 108813767 217627534 435255068 870510136 1196951437 2393902874 4026109379 4787805748 8052218758 9575611496 12295955671 16104437516 24591911342 32208875032 44287203169 49183822684 88574406338 98367645368 135255512381 177148812676 270511024762 354297625352 454950359827 541022049524 909900719654 1082044099048 1819801439308 3639602878616 5004453958097 10008907916194 20017815832388 40035631664776