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31373366440 = 2351364793251
BaseRepresentation
bin11101001101111111…
…111001010010101000
32222222110112010221211
4131031333321102220
51003223040211230
622225052042504
72160314133433
oct351577712250
988873463854
1031373366440
111233a4a1619
1260b6a63434
132c5ca79c70
1417389c681a
15c394ac42a
hex74dff94a8

31373366440 has 64 divisors (see below), whose sum is σ = 76138392960. Its totient is φ = 11565984000.

The previous prime is 31373366417. The next prime is 31373366503. The reversal of 31373366440 is 4466337313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 31373366393 and 31373366402.

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, 289815 + ... + 383065.

It is an arithmetic number, because the mean of its divisors is an integer number (1189662390).

Almost surely, 231373366440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31373366440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38069196480).

31373366440 is an abundant number, since it is smaller than the sum of its proper divisors (44765026520).

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

31373366440 is a wasteful number, since it uses less digits than its factorization.

31373366440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93922 (or 93918 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 40.

The spelling of 31373366440 in words is "thirty-one billion, three hundred seventy-three million, three hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 647 1294 2588 3235 5176 6470 8411 12940 16822 25880 33644 42055 67288 84110 93251 168220 186502 336440 373004 466255 746008 932510 1212263 1865020 2424526 3730040 4849052 6061315 9698104 12122630 24245260 48490520 60333397 120666794 241333588 301666985 482667176 603333970 784334161 1206667940 1568668322 2413335880 3137336644 3921670805 6274673288 7843341610 15686683220 31373366440