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3423420817128 = 233213321642017
BaseRepresentation
bin110001110100010011110…
…010000001111011101000
3110010021110002020102121100
4301310103302001323220
5422042131212122003
611140410421041400
7502222362550554
oct61642362017350
913107402212540
103423420817128
1110aa956891694
12473594856260
131baa9a47a000
14bb9a180a864
155e0b7373ba3
hex31d13c81ee8

3423420817128 has 96 divisors (see below), whose sum is σ = 10044060553800. Its totient is φ = 1053360202752.

The previous prime is 3423420817081. The next prime is 3423420817163. The reversal of 3423420817128 is 8217180243243.

3423420817128 is a `hidden beast` number, since 3 + 4 + 23 + 420 + 81 + 7 + 128 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37018529604 + 3386402287524 = 192402^2 + 1840218^2 .

It is a super-2 number, since 2×34234208171282 (a number of 26 digits) contains 22 as substring.

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, 10662825 + ... + 10979192.

Almost surely, 23423420817128 is an apocalyptic number.

It is an amenable number.

3423420817128 is an abundant number, since it is smaller than the sum of its proper divisors (6620639736672).

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

3423420817128 is a wasteful number, since it uses less digits than its factorization.

3423420817128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21642068 (or 21642035 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 3423420817128 in words is "three trillion, four hundred twenty-three billion, four hundred twenty million, eight hundred seventeen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 2197 3042 4056 4394 6084 6591 8788 12168 13182 17576 19773 26364 39546 52728 79092 158184 21642017 43284034 64926051 86568068 129852102 173136136 194778153 259704204 281346221 389556306 519408408 562692442 779112612 844038663 1125384884 1558225224 1688077326 2250769768 2532115989 3376154652 3657500873 5064231978 6752309304 7315001746 10128463956 10972502619 14630003492 20256927912 21945005238 29260006984 32917507857 43890010476 47547511349 65835015714 87780020952 95095022698 131670031428 142642534047 190190045396 263340062856 285285068094 380380090792 427927602141 570570136188 855855204282 1141140272376 1711710408564 3423420817128