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13990394961 = 328924432
BaseRepresentation
bin11010000011110010…
…00111110001010001
31100010000101200221100
431001321013301101
5212123020114321
610232130415013
71003460252334
oct150171076121
940100350840
1013990394961
115a2a238894
122865431469
13141c62801a
1496a0d661b
1556d387326
hex341e47c51

13990394961 has 27 divisors (see below), whose sum is σ = 20484199099. Its totient is φ = 9201315552.

The previous prime is 13990394959. The next prime is 13990394969. The reversal of 13990394961 is 16949309931.

The square root of 13990394961 is 118281.

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

13990394961 is a `hidden beast` number, since 1 + 39 + 90 + 39 + 496 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2686452561 + 11303942400 = 51831^2 + 106320^2 .

It is not a de Polignac number, because 13990394961 - 21 = 13990394959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13990394898 and 13990394907.

It is not an unprimeable number, because it can be changed into a prime (13990394969) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31580806 + ... + 31581248.

Almost surely, 213990394961 is an apocalyptic number.

13990394961 is the 118281-st square number.

13990394961 is the 59141-st centered octagonal number.

It is an amenable number.

13990394961 is a deficient number, since it is larger than the sum of its proper divisors (6493804138).

13990394961 is an frugal number, since it uses more digits than its factorization.

13990394961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 13990394961 in words is "thirteen billion, nine hundred ninety million, three hundred ninety-four thousand, nine hundred sixty-one".

Divisors: 1 3 9 89 267 443 801 1329 3987 7921 23763 39427 71289 118281 196249 354843 588747 1766241 3509003 10527009 17466161 31581027 52398483 157195449 1554488329 4663464987 13990394961