Search a number
-
+
40626300322116 = 2234125389815809
BaseRepresentation
bin10010011110011000011000…
…01100110000000101000100
312022211211120201110212020000
421033030030030300011010
520311110130340301431
6222223244213441300
711362103410664505
oct1117141414600504
9168754521425200
1040626300322116
1111a43576451973
124681795940230
131989074c79c42
14a064756acbac
154a6bb39b29e6
hex24f30c330144

40626300322116 has 30 divisors (see below), whose sum is σ = 106205173991070. Its totient is φ = 13542100107264.

The previous prime is 40626300322067. The next prime is 40626300322129. The reversal of 40626300322116 is 61122300362604.

40626300322116 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 630 + 0 + 3 + 2 + 2 + 1 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39635586662400 + 990713659716 = 6295680^2 + 995346^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 62694907581 + ... + 62694908228.

It is an arithmetic number, because the mean of its divisors is an integer number (3540172466369).

Almost surely, 240626300322116 is an apocalyptic number.

It is an amenable number.

40626300322116 is an abundant number, since it is smaller than the sum of its proper divisors (65578873668954).

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

40626300322116 is a wasteful number, since it uses less digits than its factorization.

40626300322116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125389815825 (or 125389815814 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 40626300322116 in words is "forty trillion, six hundred twenty-six billion, three hundred million, three hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 125389815809 250779631618 376169447427 501559263236 752338894854 1128508342281 1504677789708 2257016684562 3385525026843 4514033369124 6771050053686 10156575080529 13542100107372 20313150161058 40626300322116