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12041426340 = 22325269324841
BaseRepresentation
bin10110011011011100…
…11001010110100100
31011002012001211121100
423031232121112210
5144130101120330
65310505320100
7604253302146
oct131556312644
934065054540
1012041426340
11511a086919
122400796030
13119b90a658
14823322c96
154a7205060
hex2cdb995a4

12041426340 has 72 divisors (see below), whose sum is σ = 36540694008. Its totient is φ = 3209725440.

The previous prime is 12041426329. The next prime is 12041426381. The reversal of 12041426340 is 4362414021.

It is a happy number.

12041426340 is a `hidden beast` number, since 1 + 20 + 4 + 1 + 4 + 2 + 634 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 12038917284 = 1584^2 + 109722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472320 + ... + 497160.

It is an arithmetic number, because the mean of its divisors is an integer number (507509639).

Almost surely, 212041426340 is an apocalyptic number.

12041426340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12041426340 is an abundant number, since it is smaller than the sum of its proper divisors (24499267668).

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

12041426340 is a wasteful number, since it uses less digits than its factorization.

12041426340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27549 (or 27544 counting only the distinct ones).

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

The spelling of 12041426340 in words is "twelve billion, forty-one million, four hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2693 5386 8079 10772 13465 16158 24237 24841 26930 32316 40395 48474 49682 53860 74523 80790 96948 99364 121185 124205 149046 161580 223569 242370 248410 298092 372615 447138 484740 496820 745230 894276 1117845 1490460 2235690 4471380 66896813 133793626 200690439 267587252 334484065 401380878 602071317 668968130 802761756 1003452195 1204142634 1337936260 2006904390 2408285268 3010356585 4013808780 6020713170 12041426340