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31050245040 = 2435532441057
BaseRepresentation
bin11100111010101111…
…010010001110110000
32222010221111212201120
4130322233102032300
51002042330320130
622133030302240
72146311504513
oct347257221660
988127455646
1031050245040
1112194065741
1260267b7980
132c0ab45079
141707b14d7a
15c1ae32910
hex73abd23b0

31050245040 has 80 divisors (see below), whose sum is σ = 98071946208. Its totient is φ = 8123834368.

The previous prime is 31050245027. The next prime is 31050245047. The reversal of 31050245040 is 4054205013.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31050245040.

It is not an unprimeable number, because it can be changed into a prime (31050245047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1207809 + ... + 1233248.

Almost surely, 231050245040 is an apocalyptic number.

31050245040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31050245040 is an abundant number, since it is smaller than the sum of its proper divisors (67021701168).

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

31050245040 is a wasteful number, since it uses less digits than its factorization.

31050245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441126 (or 2441120 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 31050245040 in words is "thirty-one billion, fifty million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 2441057 4882114 7323171 9764228 12205285 14646342 19528456 24410570 29292684 36615855 39056912 48821140 58585368 73231710 97642280 117170736 129376021 146463420 195284560 258752042 292926840 388128063 517504084 585853680 646880105 776256126 1035008168 1293760210 1552512252 1940640315 2070016336 2587520420 3105024504 3881280630 5175040840 6210049008 7762561260 10350081680 15525122520 31050245040