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31214400040 = 2351943955153
BaseRepresentation
bin11101000100100001…
…011111001000101000
32222120101101211001101
4131010201133020220
51002411341300130
622201212531144
72153344010515
oct350441371050
988511354041
1031214400040
111226879582a
126071780ab4
132c35b5bac5
14172184630c
15c2a55b1ca
hex74485f228

31214400040 has 64 divisors (see below), whose sum is σ = 75648196800. Its totient is φ = 11553518592.

The previous prime is 31214400029. The next prime is 31214400079. The reversal of 31214400040 is 4000441213.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 31214399990 and 31214400017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444897 + ... + 510256.

It is an arithmetic number, because the mean of its divisors is an integer number (1182003075).

Almost surely, 231214400040 is an apocalyptic number.

It is an amenable number.

31214400040 is an abundant number, since it is smaller than the sum of its proper divisors (44433796760).

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

31214400040 is a wasteful number, since it uses less digits than its factorization.

31214400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955226 (or 955222 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 31214400040 its reverse (4000441213), we get a palindrome (35214841253).

The spelling of 31214400040 in words is "thirty-one billion, two hundred fourteen million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1634 1720 3268 4085 6536 8170 16340 32680 955153 1910306 3820612 4775765 7641224 9551530 18147907 19103060 36295814 38206120 41071579 72591628 82143158 90739535 145183256 164286316 181479070 205357895 328572632 362958140 410715790 725916280 780360001 821431580 1560720002 1642863160 3121440004 3901800005 6242880008 7803600010 15607200020 31214400040