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40393639404 = 223259129114731
BaseRepresentation
bin100101100111101001…
…100000010111101100
310212021002202111020200
4211213221200113230
51130211232430104
630320115513500
72626664161356
oct454751402754
9125232674220
1040393639404
111614917a168
1279b38b8890
133a697a79a1
141d529980d6
1510b6340b39
hex967a605ec

40393639404 has 72 divisors (see below), whose sum is σ = 103924242240. Its totient is φ = 13225183200.

The previous prime is 40393639369. The next prime is 40393639411. The reversal of 40393639404 is 40493639304.

40393639404 is a `hidden beast` number, since 4 + 0 + 3 + 9 + 3 + 639 + 4 + 0 + 4 = 666.

40393639404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×403936394042 (a number of 22 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 40393639404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2734719 + ... + 2749449.

Almost surely, 240393639404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40393639404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51962121120).

40393639404 is an abundant number, since it is smaller than the sum of its proper divisors (63530602836).

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

40393639404 is a wasteful number, since it uses less digits than its factorization.

40393639404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16091 (or 16086 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 40393639404 in words is "forty billion, three hundred ninety-three million, six hundred thirty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 1291 2124 2582 3873 5164 7746 11619 14731 15492 23238 29462 44193 46476 58924 76169 88386 132579 152338 176772 228507 265158 304676 457014 530316 685521 869129 914028 1371042 1738258 2607387 2742084 3476516 5214774 7822161 10429548 15644322 19017721 31288644 38035442 57053163 76070884 114106326 171159489 228212652 342318978 684637956 1122045539 2244091078 3366136617 4488182156 6732273234 10098409851 13464546468 20196819702 40393639404