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13080039424 = 21217872
BaseRepresentation
bin11000010111010000…
…11001000000000000
31020202120101211220121
430023220121000000
5203241442230144
610001530350024
7642064333504
oct141350310000
936676354817
1013080039424
115602383241
12265058b314
131305b46cca
148c1242304
155184b2384
hex30ba19000

13080039424 has 39 divisors (see below), whose sum is σ = 26171530987. Its totient is φ = 6536359936.

The previous prime is 13080039419. The next prime is 13080039433. The reversal of 13080039424 is 42493008031.

The square root of 13080039424 is 114368.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13080039424.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7318659 + ... + 7320445.

Almost surely, 213080039424 is an apocalyptic number.

13080039424 is the 114368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13080039424

13080039424 is an abundant number, since it is smaller than the sum of its proper divisors (13091491563).

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

13080039424 is an frugal number, since it uses more digits than its factorization.

13080039424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Multiplying 13080039424 by its product of nonzero digits (20736), we get a square (271227697496064 = 164689922).

The spelling of 13080039424 in words is "thirteen billion, eighty million, thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1787 2048 3574 4096 7148 14296 28592 57184 114368 228736 457472 914944 1829888 3193369 3659776 6386738 7319552 12773476 25546952 51093904 102187808 204375616 408751232 817502464 1635004928 3270009856 6540019712 13080039424