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3420424431108 = 22321719728370197
BaseRepresentation
bin110001110001100001001…
…011101110011000000100
3110002222201021000020201100
4301301201023232120010
5422020012123243413
611135153222100100
7502055206646346
oct61614113563004
913088637006640
103420424431108
1110a965946a503
12472a9927a630
131ba71075c729
14bb7998a5296
155de8e295a73
hex31c612ee604

3420424431108 has 72 divisors (see below), whose sum is σ = 9201136096152. Its totient is φ = 1067627215872.

The previous prime is 3420424431097. The next prime is 3420424431157. The reversal of 3420424431108 is 8011344240243.

3420424431108 is a `hidden beast` number, since 3 + 4 + 204 + 2 + 4 + 431 + 10 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2744661516804 + 675762914304 = 1656702^2 + 822048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14064535 + ... + 14305662.

It is an arithmetic number, because the mean of its divisors is an integer number (127793556891).

Almost surely, 23420424431108 is an apocalyptic number.

It is an amenable number.

3420424431108 is an abundant number, since it is smaller than the sum of its proper divisors (5780711665044).

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

3420424431108 is a wasteful number, since it uses less digits than its factorization.

3420424431108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28370421 (or 28370416 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 3420424431108 in words is "three trillion, four hundred twenty billion, four hundred twenty-four million, four hundred thirty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 197 204 306 394 591 612 788 1182 1773 2364 3349 3546 6698 7092 10047 13396 20094 30141 40188 60282 120564 28370197 56740394 85110591 113480788 170221182 255331773 340442364 482293349 510663546 964586698 1021327092 1446880047 1929173396 2893760094 4340640141 5588928809 5787520188 8681280282 11177857618 16766786427 17362560564 22355715236 33533572854 50300359281 67067145708 95011789753 100600718562 190023579506 201201437124 285035369259 380047159012 570070738518 855106107777 1140141477036 1710212215554 3420424431108