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12341704128 = 2631331159503
BaseRepresentation
bin10110111111001111…
…10111010111000000
31011212010002112021220
423133213313113000
5200233434013003
65400353315040
7614560516455
oct133747672700
934763075256
1012341704128
11526362aa86
122485265a80
131218ba4a10
1485116982c
154c376b353
hex2df9f75c0

12341704128 has 112 divisors (see below), whose sum is σ = 36300558336. Its totient is φ = 3674926080.

The previous prime is 12341704099. The next prime is 12341704139. The reversal of 12341704128 is 82140714321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2376 + ... + 157127.

It is an arithmetic number, because the mean of its divisors is an integer number (324112128).

Almost surely, 212341704128 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 12341704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150279168).

12341704128 is an abundant number, since it is smaller than the sum of its proper divisors (23958854208).

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

12341704128 is a wasteful number, since it uses less digits than its factorization.

12341704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159562 (or 159552 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 12341704128 in words is "twelve billion, three hundred forty-one million, seven hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 9672 12896 19344 25792 38688 77376 159503 319006 478509 638012 957018 1276024 1914036 2073539 2552048 3828072 4147078 4944593 5104096 6220617 7656144 8294156 9889186 10208192 12441234 14833779 15312288 16588312 19778372 24882468 29667558 30624576 33176624 39556744 49764936 59335116 64279709 66353248 79113488 99529872 118670232 128559418 132706496 158226976 192839127 199059744 237340464 257118836 316453952 385678254 398119488 474680928 514237672 771356508 949361856 1028475344 1542713016 2056950688 3085426032 4113901376 6170852064 12341704128