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31240974096 = 2432268980681
BaseRepresentation
bin11101000110000110…
…110110111100010000
32222122020101220210200
4131012012312330100
51002440142132341
622204002255200
72154115620063
oct350606667420
988566356720
1031240974096
1112281796262
12607a657500
132c3b5045b7
1417251a28da
15c2ca59db6
hex7461b6f10

31240974096 has 60 divisors (see below), whose sum is σ = 87464935740. Its totient is φ = 10409656320.

The previous prime is 31240974053. The next prime is 31240974097. The reversal of 31240974096 is 69047904213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18047235600 + 13193738496 = 134340^2 + 114864^2 .

It is not an unprimeable number, because it can be changed into a prime (31240974097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346876 + ... + 427556.

It is an arithmetic number, because the mean of its divisors is an integer number (1457748929).

Almost surely, 231240974096 is an apocalyptic number.

31240974096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31240974096 is an abundant number, since it is smaller than the sum of its proper divisors (56223961644).

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

31240974096 is a wasteful number, since it uses less digits than its factorization.

31240974096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83384 (or 83375 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 31240974096 in words is "thirty-one billion, two hundred forty million, nine hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2689 5378 8067 10756 16134 21512 24201 32268 43024 48402 64536 80681 96804 129072 161362 193608 242043 322724 387216 484086 645448 726129 968172 1290896 1452258 1936344 2904516 3872688 5809032 11618064 216951209 433902418 650853627 867804836 1301707254 1735609672 1952560881 2603414508 3471219344 3905121762 5206829016 7810243524 10413658032 15620487048 31240974096