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31412779400 = 23521027315289
BaseRepresentation
bin11101010000010110…
…001111100110001000
310000002012200112101002
4131100112033212020
51003313132420100
622233020514132
72161303135142
oct352026174610
9100065615332
1031412779400
111235a771112
1261080ab948
132c67c99542
14173dd25c92
15c3cb952d5
hex75058f988

31412779400 has 48 divisors (see below), whose sum is σ = 73046598900. Its totient is φ = 12563066880.

The previous prime is 31412779393. The next prime is 31412779421. The reversal of 31412779400 is 497721413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8884570564 + 22528208836 = 94258^2 + 150094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2046956 + ... + 2062244.

Almost surely, 231412779400 is an apocalyptic number.

It is an amenable number.

31412779400 is an abundant number, since it is smaller than the sum of its proper divisors (41633819500).

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

31412779400 is a wasteful number, since it uses less digits than its factorization.

31412779400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25578 (or 25569 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 31412779400 in words is "thirty-one billion, four hundred twelve million, seven hundred seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10273 15289 20546 30578 41092 51365 61156 76445 82184 102730 122312 152890 205460 256825 305780 382225 410920 513650 611560 764450 1027300 1528900 2054600 3057800 157063897 314127794 628255588 785319485 1256511176 1570638970 3141277940 3926597425 6282555880 7853194850 15706389700 31412779400