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137230540344 = 23323161483217
BaseRepresentation
bin111111111001110010…
…0111101111000111000
3111010012211110202022100
41333303210331320320
54222022004242334
6143013130423400
712625462226622
oct1776344757070
9433184422270
10137230540344
1153221076107
122271a291b60
13cc2cb98981
1468db8b7c12
153882a1ac99
hex1ff393de38

137230540344 has 48 divisors (see below), whose sum is σ = 383655280320. Its totient is φ = 44267915520.

The previous prime is 137230540261. The next prime is 137230540379. The reversal of 137230540344 is 443045032731.

137230540344 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 305 + 4 + 0 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 137230540299 and 137230540308.

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, 30739377 + ... + 30743840.

It is an arithmetic number, because the mean of its divisors is an integer number (7992818340).

Almost surely, 2137230540344 is an apocalyptic number.

It is an amenable number.

137230540344 is an abundant number, since it is smaller than the sum of its proper divisors (246424739976).

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

137230540344 is a wasteful number, since it uses less digits than its factorization.

137230540344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61483260 (or 61483253 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 137230540344 in words is "one hundred thirty-seven billion, two hundred thirty million, five hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 61483217 122966434 184449651 245932868 368899302 491865736 553348953 737798604 1106697906 1475597208 1905979727 2213395812 3811959454 4426791624 5717939181 7623918908 11435878362 15247837816 17153817543 22871756724 34307635086 45743513448 68615270172 137230540344