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13201414304 = 2513149212981
BaseRepresentation
bin11000100101101110…
…11001100010100000
31021002000210022221112
430102313121202200
5204014030224204
610021544042452
7645100112231
oct142267314240
937060708845
1013201414304
115664943a61
122685163428
131325032970
148d33d9088
15523e8a26e
hex312dd98a0

13201414304 has 48 divisors (see below), whose sum is σ = 28177518600. Its totient is φ = 6052039680.

The previous prime is 13201414283. The next prime is 13201414319. The reversal of 13201414304 is 40341410231.

It can be written as a sum of positive squares in 4 ways, for example, as 2793333904 + 10408080400 = 52852^2 + 102020^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13201414304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44507 + ... + 168474.

Almost surely, 213201414304 is an apocalyptic number.

It is an amenable number.

13201414304 is an abundant number, since it is smaller than the sum of its proper divisors (14976104296).

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

13201414304 is a wasteful number, since it uses less digits than its factorization.

13201414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213153 (or 213145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13201414304 its reverse (40341410231), we get a palindrome (53542824535).

The spelling of 13201414304 in words is "thirteen billion, two hundred one million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 208 298 416 596 1192 1937 2384 3874 4768 7748 15496 30992 61984 212981 425962 851924 1703848 2768753 3407696 5537506 6815392 11075012 22150024 31734169 44300048 63468338 88600096 126936676 253873352 412544197 507746704 825088394 1015493408 1650176788 3300353576 6600707152 13201414304