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15131430342 = 2347101132113
BaseRepresentation
bin11100001011110011…
…10100110111000110
31110001112110022020000
432011321310313012
5221442121232332
610541251022130
71043654015160
oct160571646706
943045408200
1015131430342
116465330636
122b2359a946
131571b458a2
14a37877930
155d8626b7c
hex385e74dc6

15131430342 has 80 divisors (see below), whose sum is σ = 39133223712. Its totient is φ = 4280428800.

The previous prime is 15131430283. The next prime is 15131430361. The reversal of 15131430342 is 24303413151.

It is a happy number.

15131430342 is a `hidden beast` number, since 1 + 5 + 1 + 314 + 3 + 0 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48478 + ... + 180590.

Almost surely, 215131430342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15131430342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19566611856).

15131430342 is an abundant number, since it is smaller than the sum of its proper divisors (24001793370).

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

15131430342 is a wasteful number, since it uses less digits than its factorization.

15131430342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132235 (or 132226 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 15131430342 its reverse (24303413151), we get a palindrome (39434843493).

The spelling of 15131430342 in words is "fifteen billion, one hundred thirty-one million, four hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 101 126 162 189 202 303 378 567 606 707 909 1134 1414 1818 2121 2727 4242 5454 6363 8181 12726 16362 19089 38178 57267 114534 132113 264226 396339 792678 924791 1189017 1849582 2378034 2774373 3567051 5548746 7134102 8323119 10701153 13343413 16646238 21402306 24969357 26686826 40030239 49938714 74908071 80060478 93403891 120090717 149816142 186807782 240181434 280211673 360272151 560423346 720544302 840635019 1080816453 1681270038 2161632906 2521905057 5043810114 7565715171 15131430342