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114804175104 = 283249828201
BaseRepresentation
bin110101011101011011…
…1001011000100000000
3101222022220022100200100
41222322313023010000
53340104332100404
6124423523522400
711202645246603
oct1527267130400
9358286270610
10114804175104
1144762a66a63
121a2bb829400
13aa97903978
1457b126c33a
152ebdc6bd39
hex1abadcb100

114804175104 has 54 divisors (see below), whose sum is σ = 331008745886. Its totient is φ = 38268057600.

The previous prime is 114804175103. The next prime is 114804175121. The reversal of 114804175104 is 401571408411.

It is a happy number.

114804175104 is a `hidden beast` number, since 1 + 1 + 480 + 4 + 1 + 75 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65306824704 + 49497350400 = 255552^2 + 222480^2 .

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

It is not an unprimeable number, because it can be changed into a prime (114804175103) 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 5 ways as a sum of consecutive naturals, for example, 24911797 + ... + 24916404.

Almost surely, 2114804175104 is an apocalyptic number.

It is an amenable number.

114804175104 is an abundant number, since it is smaller than the sum of its proper divisors (216204570782).

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

114804175104 is an equidigital number, since it uses as much as digits as its factorization.

114804175104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49828223 (or 49828206 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 114804175104 in words is "one hundred fourteen billion, eight hundred four million, one hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 49828201 99656402 149484603 199312804 298969206 398625608 448453809 597938412 797251216 896907618 1195876824 1594502432 1793815236 2391753648 3189004864 3587630472 4783507296 6378009728 7175260944 9567014592 12756019456 14350521888 19134029184 28701043776 38268058368 57402087552 114804175104