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31421152656 = 2432232412481
BaseRepresentation
bin11101010000110110…
…001011110110010000
310000002210102221022200
4131100312023312100
51003322303341111
622233520203200
72161434251025
oct352066136620
9100083387280
1031421152656
1112364470063
12610aa69500
132c6993b82a
1417410a554c
15c3d79b256
hex750d8bd90

31421152656 has 90 divisors (see below), whose sum is σ = 91925326038. Its totient is φ = 10018314240.

The previous prime is 31421152627. The next prime is 31421152681. The reversal of 31421152656 is 65625112413.

31421152656 is a `hidden beast` number, since 31 + 42 + 11 + 526 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31299271056 + 121881600 = 176916^2 + 11040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31421152656.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 130065 + ... + 282416.

Almost surely, 231421152656 is an apocalyptic number.

31421152656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31421152656 is an abundant number, since it is smaller than the sum of its proper divisors (60504173382).

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

31421152656 is a wasteful number, since it uses less digits than its factorization.

31421152656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412541 (or 412509 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 31421152656 in words is "thirty-one billion, four hundred twenty-one million, one hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 529 552 828 1058 1104 1587 1656 2116 3174 3312 4232 4761 6348 8464 9522 12696 19044 25392 38088 76176 412481 824962 1237443 1649924 2474886 3299848 3712329 4949772 6599696 7424658 9487063 9899544 14849316 18974126 19799088 28461189 29698632 37948252 56922378 59397264 75896504 85383567 113844756 151793008 170767134 218202449 227689512 341534268 436404898 455379024 654607347 683068536 872809796 1309214694 1366137072 1745619592 1963822041 2618429388 3491239184 3927644082 5236858776 7855288164 10473717552 15710576328 31421152656