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13401133344 = 253331500341
BaseRepresentation
bin11000111101100010…
…10001000100100000
31021120221121002222000
430132301101010200
5204421142231334
610053440444000
7653043516414
oct143661210440
937527532860
1013401133344
115757654915
122720019600
13135751c101
14911b46d44
1553678b299
hex31ec51120

13401133344 has 96 divisors (see below), whose sum is σ = 40347578880. Its totient is φ = 4322937600.

The previous prime is 13401133331. The next prime is 13401133349. The reversal of 13401133344 is 44333110431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13401133349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223387 + ... + 276954.

It is an arithmetic number, because the mean of its divisors is an integer number (420287280).

Almost surely, 213401133344 is an apocalyptic number.

It is an amenable number.

13401133344 is an abundant number, since it is smaller than the sum of its proper divisors (26946445536).

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

13401133344 is a wasteful number, since it uses less digits than its factorization.

13401133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500391 (or 500377 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13401133344 its reverse (44333110431), we get a palindrome (57734243775).

The spelling of 13401133344 in words is "thirteen billion, four hundred one million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 500341 1000682 1501023 2001364 3002046 4002728 4503069 6004092 8005456 9006138 12008184 13509207 15510571 16010912 18012276 24016368 27018414 31021142 36024552 46531713 48032736 54036828 62042284 72049104 93063426 108073656 124084568 139595139 144098208 186126852 216147312 248169136 279190278 372253704 418785417 432294624 496338272 558380556 744507408 837570834 1116761112 1489014816 1675141668 2233522224 3350283336 4467044448 6700566672 13401133344