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40448471004 = 223223310214723
BaseRepresentation
bin100101101010111010…
…101010111111011100
310212101220221020001200
4211222322222333130
51130314302033004
630325355035500
72631231221304
oct455272527734
9125356836050
1040448471004
111617711aa37
127a0a13bb90
133a77c65316
141d59d8c604
1510bb072239
hex96aeaafdc

40448471004 has 72 divisors (see below), whose sum is σ = 102805898832. Its totient is φ = 13408968960.

The previous prime is 40448470999. The next prime is 40448471033. The reversal of 40448471004 is 40017484404.

It is a super-2 number, since 2×404484710042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40448471004.

It is a congruent number.

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, 8561787 + ... + 8566509.

It is an arithmetic number, because the mean of its divisors is an integer number (1427859706).

Almost surely, 240448471004 is an apocalyptic number.

It is an amenable number.

40448471004 is an abundant number, since it is smaller than the sum of its proper divisors (62357427828).

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

40448471004 is a wasteful number, since it uses less digits than its factorization.

40448471004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 40448471004 in words is "forty billion, four hundred forty-eight million, four hundred seventy-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1021 1398 2042 2097 2796 3063 4084 4194 4723 6126 8388 9189 9446 12252 14169 18378 18892 28338 36756 42507 56676 85014 170028 237893 475786 713679 951572 1100459 1427358 2141037 2200918 2854716 3301377 4282074 4401836 4822183 6602754 8564148 9644366 9904131 13205508 14466549 19288732 19808262 28933098 39616524 43399647 57866196 86799294 173598588 1123568639 2247137278 3370705917 4494274556 6741411834 10112117751 13482823668 20224235502 40448471004