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13312302144 = 263409169523
BaseRepresentation
bin11000110010111100…
…11001110001000000
31021100202110000110120
430121132121301000
5204230422132034
610040544500240
7650614462341
oct143136316100
937322400416
1013312302144
1157114a16a9
1226b631a680
131341cb917b
149040220c8
1552da90c49
hex319799c40

13312302144 has 56 divisors (see below), whose sum is σ = 35308458720. Its totient is φ = 4426558464.

The previous prime is 13312302077. The next prime is 13312302169. The reversal of 13312302144 is 44120321331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6234 + ... + 163289.

Almost surely, 213312302144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654229360).

13312302144 is an abundant number, since it is smaller than the sum of its proper divisors (21996156576).

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

13312302144 is a wasteful number, since it uses less digits than its factorization.

13312302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169947 (or 169937 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13312302144 its reverse (44120321331), we get a palindrome (57432623475).

The spelling of 13312302144 in words is "thirteen billion, three hundred twelve million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 409 818 1227 1636 2454 3272 4908 6544 9816 13088 19632 26176 39264 78528 169523 339046 508569 678092 1017138 1356184 2034276 2712368 4068552 5424736 8137104 10849472 16274208 32548416 69334907 138669814 208004721 277339628 416009442 554679256 832018884 1109358512 1664037768 2218717024 3328075536 4437434048 6656151072 13312302144