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1307374994025 = 3452254092
BaseRepresentation
bin10011000001100101100…
…111110100001001101001
311121222120012200222010000
4103001211213310021221
5132410000444302100
62440333315213213
7163311654043602
oct23014547641151
94558505628100
101307374994025
11464500112381
121914652a7209
1396391cc7b29
14473c4c3ada9
152401b613900
hex130659f4269

1307374994025 has 45 divisors (see below), whose sum is σ = 2421805733941. Its totient is φ = 697239221760.

The previous prime is 1307374994017. The next prime is 1307374994039. The reversal of 1307374994025 is 5204994737031.

The square root of 1307374994025 is 1143405.

It is a perfect power (a square), and thus also a powerful number.

1307374994025 is a `hidden beast` number, since 13 + 0 + 73 + 74 + 99 + 402 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 458094787929 + 849280206096 = 676827^2 + 921564^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1307374994025 - 23 = 1307374994017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51440521 + ... + 51465929.

Almost surely, 21307374994025 is an apocalyptic number.

1307374994025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1307374994025 is the 1143405-th square number.

1307374994025 is the 571703-rd centered octagonal number.

It is an amenable number.

1307374994025 is a deficient number, since it is larger than the sum of its proper divisors (1114430739916).

1307374994025 is an frugal number, since it uses more digits than its factorization.

1307374994025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50840 (or 25417 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 1307374994025 in words is "one trillion, three hundred seven billion, three hundred seventy-four million, nine hundred ninety-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 25409 76227 127045 228681 381135 635225 686043 1143405 1905675 2058129 3430215 5717025 10290645 17151075 51453225 645617281 1936851843 3228086405 5810555529 9684259215 16140432025 17431666587 29052777645 48421296075 52294999761 87158332935 145263888225 261474998805 435791664675 1307374994025