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514524121344 = 2832223317761
BaseRepresentation
bin1110111110011000000…
…01110000100100000000
31211012002001220112010200
413133030001300210000
531412221133340334
61032211421325200
752113246604422
oct7371401604400
91735061815120
10514524121344
111892324a8872
1283875106800
133969a20900c
141ac90170812
15d5b5c96799
hex77cc070900

514524121344 has 54 divisors (see below), whose sum is σ = 1483499892966. Its totient is φ = 171508039680.

The previous prime is 514524121343. The next prime is 514524121369. The reversal of 514524121344 is 443121425415.

514524121344 is a `hidden beast` number, since 5 + 1 + 4 + 524 + 121 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 305711679744 + 208812441600 = 552912^2 + 456960^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 514524121299 and 514524121308.

It is not an unprimeable number, because it can be changed into a prime (514524121343) 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, 111656577 + ... + 111661184.

Almost surely, 2514524121344 is an apocalyptic number.

It is an amenable number.

514524121344 is an abundant number, since it is smaller than the sum of its proper divisors (968975771622).

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

514524121344 is a wasteful number, since it uses less digits than its factorization.

514524121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223317783 (or 223317766 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 514524121344 its reverse (443121425415), we get a palindrome (957645546759).

The spelling of 514524121344 in words is "five hundred fourteen billion, five hundred twenty-four million, one hundred twenty-one thousand, three hundred forty-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 223317761 446635522 669953283 893271044 1339906566 1786542088 2009859849 2679813132 3573084176 4019719698 5359626264 7146168352 8039439396 10719252528 14292336704 16078878792 21438505056 28584673408 32157757584 42877010112 57169346816 64315515168 85754020224 128631030336 171508040448 257262060672 514524121344