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136131243444 = 22327540203347
BaseRepresentation
bin111111011001000001…
…1011110110110110100
3111000101012221200110100
41332302003132312310
54212244044242234
6142312100554100
712556313322450
oct1766203366664
9430335850410
10136131243444
11528075a1079
12224720b2930
13cab6203031
1468358bd660
15381b273399
hex1fb20dedb4

136131243444 has 36 divisors (see below), whose sum is σ = 393268037344. Its totient is φ = 38894640912.

The previous prime is 136131243439. The next prime is 136131243487. The reversal of 136131243444 is 444342131631.

136131243444 is a `hidden beast` number, since 1 + 3 + 613 + 1 + 2 + 4 + 34 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1361312434442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 136131243399 and 136131243408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270101422 + ... + 270101925.

Almost surely, 2136131243444 is an apocalyptic number.

136131243444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136131243444 is an abundant number, since it is smaller than the sum of its proper divisors (257136793900).

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

136131243444 is a wasteful number, since it uses less digits than its factorization.

136131243444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540203364 (or 540203359 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 136131243444 in words is "one hundred thirty-six billion, one hundred thirty-one million, two hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 540203347 1080406694 1620610041 2160813388 3241220082 3781423429 4861830123 6482440164 7562846858 9723660246 11344270287 15125693716 19447320492 22688540574 34032810861 45377081148 68065621722 136131243444