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40021412004 = 223271011572427
BaseRepresentation
bin100101010001011101…
…100100100010100100
310211022011100101020200
4211101131210202210
51123430440141004
630215141430500
72614524250320
oct452135444244
9124264311220
1040021412004
1115a78053212
12790b10b430
133a0a63b5a2
141d19382980
151093816239
hex9517648a4

40021412004 has 72 divisors (see below), whose sum is σ = 116762213568. Its totient is φ = 11321467200.

The previous prime is 40021411999. The next prime is 40021412009.

40021412004 is a `hidden beast` number, since 400 + 21 + 41 + 200 + 4 = 666.

40021412004 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (40021411999) and next prime (40021412009).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40021412009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760762 + ... + 811665.

Almost surely, 240021412004 is an apocalyptic number.

It is an amenable number.

40021412004 is an abundant number, since it is smaller than the sum of its proper divisors (76740801564).

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

40021412004 is a wasteful number, since it uses less digits than its factorization.

40021412004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572545 (or 1572540 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 40021412004 in words is "forty billion, twenty-one million, four hundred twelve thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 909 1212 1414 1818 2121 2828 3636 4242 6363 8484 12726 25452 1572427 3144854 4717281 6289708 9434562 11006989 14151843 18869124 22013978 28303686 33020967 44027956 56607372 66041934 99062901 132083868 158815127 198125802 317630254 396251604 476445381 635260508 952890762 1111705889 1429336143 1905781524 2223411778 2858672286 3335117667 4446823556 5717344572 6670235334 10005353001 13340470668 20010706002 40021412004