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134015480213544 = 23322600817156717
BaseRepresentation
bin11110011110001011101001…
…000101111011000000101000
3122120111202101020110022112100
4132132023221011323000220
5120031202200413313134
61153005510042413400
740141204350311526
oct3636135105730050
9576452336408470
10134015480213544
1139779711893406
1213045121201260
1359a17b4544897
142514553407316
1510760b45c3999
hex79e2e917b028

134015480213544 has 48 divisors (see below), whose sum is σ = 362960038520820. Its totient is φ = 44671648734720.

The previous prime is 134015480213543. The next prime is 134015480213567. The reversal of 134015480213544 is 445312084510431.

It is a happy number.

134015480213544 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 1 + 5 + 4 + 80 + 21 + 3 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133558193200644 + 457287012900 = 11556738^2 + 676230^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134015480213544.

It is not an unprimeable number, because it can be changed into a prime (134015480213543) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15147474 + ... + 22304190.

Almost surely, 2134015480213544 is an apocalyptic number.

It is an amenable number.

134015480213544 is an abundant number, since it is smaller than the sum of its proper divisors (228944558307276).

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

134015480213544 is a wasteful number, since it uses less digits than its factorization.

134015480213544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416810 (or 7416803 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 134015480213544 in words is "one hundred thirty-four trillion, fifteen billion, four hundred eighty million, two hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 260081 520162 780243 1040324 1560486 2080648 2340729 3120972 4681458 6241944 7156717 9362916 14313434 18725832 21470151 28626868 42940302 57253736 64410453 85880604 128820906 171761208 257641812 515283624 1861326114077 3722652228154 5583978342231 7445304456308 11167956684462 14890608912616 16751935026693 22335913368924 33503870053386 44671826737848 67007740106772 134015480213544