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13331502144 = 2632231006303
BaseRepresentation
bin11000110101001111…
…01001010001000000
31021102002120110220200
430122213221101000
5204300331032034
610042512205200
7651236620122
oct143247512100
937362513820
1013331502144
115721315974
122700839800
131345c7c40c
149067bd212
155305d4a99
hex31a9e9440

13331502144 has 84 divisors (see below), whose sum is σ = 39873789696. Its totient is φ = 4250619648.

The previous prime is 13331502137. The next prime is 13331502161. The reversal of 13331502144 is 44120513331.

It is a happy number.

13331502144 is a `hidden beast` number, since 13 + 3 + 3 + 1 + 502 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 489904 + ... + 516399.

Almost surely, 213331502144 is an apocalyptic number.

It is an amenable number.

13331502144 is an abundant number, since it is smaller than the sum of its proper divisors (26542287552).

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

13331502144 is a wasteful number, since it uses less digits than its factorization.

13331502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006344 (or 1006331 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13331502144 in words is "thirteen billion, three hundred thirty-one million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 1006303 2012606 3018909 4025212 6037818 8050424 9056727 12075636 16100848 18113454 23144969 24151272 32201696 36226908 46289938 48302544 64403392 69434907 72453816 92579876 96605088 138869814 144907632 185159752 193210176 208304721 277739628 289815264 370319504 416609442 555479256 579630528 740639008 833218884 1110958512 1481278016 1666437768 2221917024 3332875536 4443834048 6665751072 13331502144