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30314457792 = 263323762743
BaseRepresentation
bin11100001110111000…
…011110101011000000
32220020200000000101000
4130032320132223000
5444041000122132
621532024012000
72122135432263
oct341670365300
986220000330
1030314457792
11119467a2903
125a60301000
132b215857b8
141678102cda
15bc654187c
hex70ee1eac0

30314457792 has 112 divisors (see below), whose sum is σ = 92993748480. Its totient is φ = 9665466624.

The previous prime is 30314457791. The next prime is 30314457793. The reversal of 30314457792 is 29775441303.

30314457792 is a `hidden beast` number, since 3 + 0 + 31 + 44 + 577 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30314457791) and next prime (30314457793).

It is not an unprimeable number, because it can be changed into a prime (30314457791) 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 15 ways as a sum of consecutive naturals, for example, 341628 + ... + 421115.

Almost surely, 230314457792 is an apocalyptic number.

30314457792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30314457792 is an abundant number, since it is smaller than the sum of its proper divisors (62679290688).

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

30314457792 is a wasteful number, since it uses less digits than its factorization.

30314457792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762787 (or 762771 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 30314457792 in words is "thirty billion, three hundred fourteen million, four hundred fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 6624 9936 13248 19872 39744 762743 1525486 2288229 3050972 4576458 6101944 6864687 9152916 12203888 13729374 17543089 18305832 20594061 24407776 27458748 35086178 36611664 41188122 48815552 52629267 54917496 70172356 73223328 82376244 105258534 109834992 140344712 146446656 157887801 164752488 210517068 219669984 280689424 315775602 329504976 421034136 439339968 473663403 561378848 631551204 659009952 842068272 947326806 1122757696 1263102408 1318019904 1684136544 1894653612 2526204816 3368273088 3789307224 5052409632 7578614448 10104819264 15157228896 30314457792