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136044585440631 = 3374715315162157
BaseRepresentation
bin11110111011101101011001…
…001100000101010101110111
3122211200201212001220220012000
4132323231121030011111313
5120312423302333100011
61201202004133430343
740440616436210220
oct3673553114052567
9584621761826160
10136044585440631
113a39120389607a
121331242849b3b3
135abac459878ca
142584843546247
1510adc72882356
hex7bbb59305577

136044585440631 has 32 divisors (see below), whose sum is σ = 235240890746880. Its totient is φ = 76085725591008.

The previous prime is 136044585440611. The next prime is 136044585440653.

136044585440631 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 44 + 58 + 544 + 0 + 6 + 3 + 1 = 666.

136044585440631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136044585440631 - 26 = 136044585440567 is a prime.

It is a super-2 number, since 2×1360445854406312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136044585440611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7657572196 + ... + 7657589961.

It is an arithmetic number, because the mean of its divisors is an integer number (7351277835840).

Almost surely, 2136044585440631 is an apocalyptic number.

136044585440631 is a deficient number, since it is larger than the sum of its proper divisors (99196305306249).

136044585440631 is a wasteful number, since it uses less digits than its factorization.

136044585440631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15315162220 (or 15315162214 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 136044585440631 in words is "one hundred thirty-six trillion, forty-four billion, five hundred eighty-five million, four hundred forty thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 8883 15315162157 45945486471 107206135099 137836459413 321618405297 413509378239 719812621379 964855215891 2159437864137 2894565647673 5038688349653 6478313592411 15116065048959 19434940777233 45348195146877 136044585440631