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12314725434 = 23311127163243
BaseRepresentation
bin10110111100000001…
…11100110000111010
31011210020022212111000
423132000330300322
5200210032203214
65353551145430
7614112303414
oct133600746072
934706285430
1012314725434
11524a383540
122478215276
131213419cab
1484b7459b4
154c11dc809
hex2de03cc3a

12314725434 has 64 divisors (see below), whose sum is σ = 30089134080. Its totient is φ = 3702328560.

The previous prime is 12314725403. The next prime is 12314725441. The reversal of 12314725434 is 43452741321.

12314725434 is a `hidden beast` number, since 12 + 31 + 4 + 72 + 543 + 4 = 666.

12314725434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6184 + ... + 157059.

It is an arithmetic number, because the mean of its divisors is an integer number (470142720).

Almost surely, 212314725434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12314725434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044567040).

12314725434 is an abundant number, since it is smaller than the sum of its proper divisors (17774408646).

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

12314725434 is a wasteful number, since it uses less digits than its factorization.

12314725434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163392 (or 163386 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The spelling of 12314725434 in words is "twelve billion, three hundred fourteen million, seven hundred twenty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 127 198 254 297 381 594 762 1143 1397 2286 2794 3429 4191 6858 8382 12573 25146 37719 75438 163243 326486 489729 979458 1469187 1795673 2938374 3591346 4407561 5387019 8815122 10774038 16161057 20731861 32322114 41463722 48483171 62195583 96966342 124391166 186586749 228050471 373173498 456100942 559760247 684151413 1119520494 1368302826 2052454239 4104908478 6157362717 12314725434