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406312196040 = 233253892901401
BaseRepresentation
bin1011110100110100001…
…10000001011111001000
31102211202121002011010100
411322122012001133020
523124111410233130
6510353544245400
741232536452632
oct5723206013710
91384677064110
10406312196040
11147352707743
12668b5170860
132c4132b519a
141594663ba52
15a880b4dc60
hex5e9a1817c8

406312196040 has 96 divisors (see below), whose sum is σ = 1323909732600. Its totient is φ = 108071347200.

The previous prime is 406312195981. The next prime is 406312196041. The reversal of 406312196040 is 40691213604.

406312196040 is a `hidden beast` number, since 4 + 0 + 6 + 31 + 2 + 19 + 604 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170250312996 + 236061883044 = 412614^2 + 485862^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 406312195986 and 406312196004.

It is not an unprimeable number, because it can be changed into a prime (406312196041) 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, 1310661 + ... + 1590740.

Almost surely, 2406312196040 is an apocalyptic number.

406312196040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406312196040 is an abundant number, since it is smaller than the sum of its proper divisors (917597536560).

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

406312196040 is a wasteful number, since it uses less digits than its factorization.

406312196040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901807 (or 2901800 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 406312196040 in words is "four hundred six billion, three hundred twelve million, one hundred ninety-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 389 778 1167 1556 1945 2334 3112 3501 3890 4668 5835 7002 7780 9336 11670 14004 15560 17505 23340 28008 35010 46680 70020 140040 2901401 5802802 8704203 11605604 14507005 17408406 23211208 26112609 29014010 34816812 43521015 52225218 58028020 69633624 87042030 104450436 116056040 130563045 174084060 208900872 261126090 348168120 522252180 1044504360 1128644989 2257289978 3385934967 4514579956 5643224945 6771869934 9029159912 10157804901 11286449890 13543739868 16929674835 20315609802 22572899780 27087479736 33859349670 40631219604 45145799560 50789024505 67718699340 81262439208 101578049010 135437398680 203156098020 406312196040