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12155414304 = 2531116768927
BaseRepresentation
bin10110101001000010…
…01110011100100000
31011101010120000200210
423110201032130200
5144343241224204
65330100414120
7610136213445
oct132441163440
934333500623
1012155414304
115178461750
1224329a7340
1311b940ac57
148345159cc
154b221e389
hex2d484e720

12155414304 has 96 divisors (see below), whose sum is σ = 35017629696. Its totient is φ = 3661349120.

The previous prime is 12155414303. The next prime is 12155414317. The reversal of 12155414304 is 40341455121.

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

It is not an unprimeable number, because it can be changed into a prime (12155414303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141889 + ... + 210815.

It is an arithmetic number, because the mean of its divisors is an integer number (364766976).

Almost surely, 212155414304 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 12155414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17508814848).

12155414304 is an abundant number, since it is smaller than the sum of its proper divisors (22862215392).

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

12155414304 is a wasteful number, since it uses less digits than its factorization.

12155414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69118 (or 69110 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 12155414304 its reverse (40341455121), we get a palindrome (52496869425).

The spelling of 12155414304 in words is "twelve billion, one hundred fifty-five million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 167 176 264 334 352 501 528 668 1002 1056 1336 1837 2004 2672 3674 4008 5344 5511 7348 8016 11022 14696 16032 22044 29392 44088 58784 68927 88176 137854 176352 206781 275708 413562 551416 758197 827124 1102832 1516394 1654248 2205664 2274591 3032788 3308496 4549182 6065576 6616992 9098364 11510809 12131152 18196728 23021618 24262304 34532427 36393456 46043236 69064854 72786912 92086472 126618899 138129708 184172944 253237798 276259416 368345888 379856697 506475596 552518832 759713394 1012951192 1105037664 1519426788 2025902384 3038853576 4051804768 6077707152 12155414304