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12312344214 = 23217318591511
BaseRepresentation
bin10110111011101111…
…10111011010010110
31011210001211220001200
423131313313122112
5200203430003324
65353424133330
7614053125162
oct133567673226
934701756050
1012312344214
115248aa7495
122477467246
131212a951a1
1484b2c5ca2
154c0dbbec9
hex2dddf7696

12312344214 has 96 divisors (see below), whose sum is σ = 29210388480. Its totient is φ = 3731270400.

The previous prime is 12312344203. The next prime is 12312344221. The reversal of 12312344214 is 41244321321.

12312344214 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 234 + 421 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8147719 + ... + 8149229.

It is an arithmetic number, because the mean of its divisors is an integer number (304274880).

Almost surely, 212312344214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312344214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605194240).

12312344214 is an abundant number, since it is smaller than the sum of its proper divisors (16898044266).

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

12312344214 is a wasteful number, since it uses less digits than its factorization.

12312344214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2423 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12312344214 its reverse (41244321321), we get a palindrome (53556665535).

The spelling of 12312344214 in words is "twelve billion, three hundred twelve million, three hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 859 1054 1511 1581 1718 2577 3022 3162 4533 4743 5154 7731 9066 9486 13599 14603 15462 25687 26629 27198 29206 43809 46841 51374 53258 77061 79887 87618 93682 131427 140523 154122 159774 231183 239661 262854 281046 421569 452693 462366 479322 796297 843138 905386 1297949 1358079 1592594 2388891 2595898 2716158 3893847 4074237 4777782 7166673 7787694 8148474 11681541 14333346 22065133 23363082 40236419 44130266 66195399 80472838 120709257 132390798 198586197 241418514 362127771 397172394 684019123 724255542 1368038246 2052057369 4104114738 6156172107 12312344214