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136014396075441 = 32134230032
BaseRepresentation
bin11110111011010001010001…
…110000110010110110110001
3122211120211221010022020121100
4132323101101300302312301
5120311424440343403231
61201140052334515013
740435500346636242
oct3673212160626661
9584524833266540
10136014396075441
113a37a421773194
1213308602065a69
135ab81442c0000
1425831bbcc6cc9
1510ad0a73001e6
hex7bb451c32db1

136014396075441 has 45 divisors (see below), whose sum is σ = 212846021742029. Its totient is φ = 83697528109104.

The previous prime is 136014396075347. The next prime is 136014396075457. The reversal of 136014396075441 is 144570693410631.

The square root of 136014396075441 is 11662521.

It is a perfect power (a square), and thus also a powerful number.

136014396075441 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 1 + 4 + 3 + 96 + 0 + 7 + 544 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67438110109041 + 68576285966400 = 8212071^2 + 8281080^2 .

It is not a de Polignac number, because 136014396075441 - 245 = 100830023986609 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (136014396075941) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5912886646 + ... + 5912909648.

Almost surely, 2136014396075441 is an apocalyptic number.

136014396075441 is the 11662521-st square number.

136014396075441 is the 5831261-st centered octagonal number.

It is an amenable number.

136014396075441 is a deficient number, since it is larger than the sum of its proper divisors (76831625666588).

136014396075441 is an frugal number, since it uses more digits than its factorization.

136014396075441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46064 (or 23019 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 136014396075441 in words is "one hundred thirty-six trillion, fourteen billion, three hundred ninety-six million, seventy-five thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 2197 6591 19773 23003 28561 69009 85683 207027 257049 299039 897117 2691351 3887507 11662521 34987563 50537591 151612773 454838319 529138009 656988683 1587414027 1970966049 4762242081 5912898147 6878794117 20636382351 61909147053 89424323521 268272970563 804818911689 1162516205773 3487548617319 10462645851957 15112710675049 45338132025147 136014396075441