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404040385640 = 23567777149033
BaseRepresentation
bin1011110000100101010…
…11110000010001101000
31102121220021021020010102
411320102223300101220
523104433314320030
6505340311404532
741122332416663
oct5702253602150
91377807236112
10404040385640
1114639729a991
1266380383748
132c14072cc88
14157aca2a6da
15a79b499c45
hex5e12af0468

404040385640 has 32 divisors (see below), whose sum is σ = 909110380680. Its totient is φ = 161612685312.

The previous prime is 404040385613. The next prime is 404040385711. The reversal of 404040385640 is 46583040404.

It can be written as a sum of positive squares in 4 ways, for example, as 307743124516 + 96297261124 = 554746^2 + 310318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404040385594 and 404040385603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2636564 + ... + 2785596.

Almost surely, 2404040385640 is an apocalyptic number.

404040385640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404040385640 is an abundant number, since it is smaller than the sum of its proper divisors (505069995040).

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

404040385640 is a wasteful number, since it uses less digits than its factorization.

404040385640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216821 (or 216817 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 404040385640 in words is "four hundred four billion, forty million, three hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67777 135554 149033 271108 298066 338885 542216 596132 677770 745165 1192264 1355540 1490330 2711080 2980660 5961320 10101009641 20202019282 40404038564 50505048205 80808077128 101010096410 202020192820 404040385640