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104031424512 = 212322822033
BaseRepresentation
bin110000011100011000…
…0011001000000000000
3100221112010110221000200
41200320300121000000
53201024021041022
6115442534245200
710341665342511
oct1407060310000
9327463427020
10104031424512
1140135032aa4
12181b3ab6800
139a6bab4632
14506c634a08
152a8d11abac
hex1838c19000

104031424512 has 78 divisors (see below), whose sum is σ = 300498646422. Its totient is φ = 34677129216.

The previous prime is 104031424457. The next prime is 104031424517. The reversal of 104031424512 is 215424130401.

104031424512 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 3 + 142 + 4 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103179718656 + 851705856 = 321216^2 + 29184^2 .

It is not an unprimeable number, because it can be changed into a prime (104031424517) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1374153 + ... + 1447880.

It is an arithmetic number, because the mean of its divisors is an integer number (3852546749).

Almost surely, 2104031424512 is an apocalyptic number.

104031424512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104031424512 is an abundant number, since it is smaller than the sum of its proper divisors (196467221910).

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

104031424512 is an equidigital number, since it uses as much as digits as its factorization.

104031424512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822063 (or 2822038 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 104031424512 its reverse (215424130401), we get a palindrome (319455554913).

The spelling of 104031424512 in words is "one hundred four billion, thirty-one million, four hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 2822033 5644066 8466099 11288132 16932198 22576264 25398297 33864396 45152528 50796594 67728792 90305056 101593188 135457584 180610112 203186376 270915168 361220224 406372752 541830336 722440448 812745504 1083660672 1444880896 1625491008 2167321344 2889761792 3250982016 4334642688 5779523584 6501964032 8669285376 11559047168 13003928064 17338570752 26007856128 34677141504 52015712256 104031424512