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134401460512152 = 233181264711688539
BaseRepresentation
bin11110100011110011000111…
…010011111010010110011000
3122121212122122212111001201110
4132203303013103322112120
5120104013142342342102
61153503102324020320
740211120324600541
oct3643630723722630
9577778585431643
10134401460512152
1139908380690629
12130a7aa12316a0
1359cc007466812
1425290cb6454c8
15108115529686c
hex7a3cc74fa598

134401460512152 has 64 divisors (see below), whose sum is σ = 337987692806400. Its totient is φ = 44536135029120.

The previous prime is 134401460512139. The next prime is 134401460512283. The reversal of 134401460512152 is 251215064104431.

It is a super-2 number, since 2×1344014605121522 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134401460512152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5654299 + ... + 17342837.

It is an arithmetic number, because the mean of its divisors is an integer number (5281057700100).

Almost surely, 2134401460512152 is an apocalyptic number.

134401460512152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134401460512152 is an abundant number, since it is smaller than the sum of its proper divisors (203586232294248).

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

134401460512152 is a wasteful number, since it uses less digits than its factorization.

134401460512152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11691376 (or 11691372 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 134401460512152 in words is "one hundred thirty-four trillion, four hundred one billion, four hundred sixty million, five hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 181 362 543 724 1086 1448 2172 2647 4344 5294 7941 10588 15882 21176 31764 63528 479107 958214 1437321 1916428 2874642 3832856 5749284 11498568 11688539 23377078 35065617 46754156 70131234 93508312 140262468 280524936 2115625559 4231251118 6346876677 8462502236 12693753354 16925004472 25387506708 30939562733 50775013416 61879125466 92818688199 123758250932 185637376398 247516501864 371274752796 742549505592 5600060854673 11200121709346 16800182564019 22400243418692 33600365128038 44800486837384 67200730256076 134401460512152