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342125721432 = 233311631228197
BaseRepresentation
bin1001111101010000100…
…10000011011101011000
31012201002022220101212000
410332220102003131120
521101133141041212
6421100445321000
733501123435615
oct4765022033530
91181068811760
10342125721432
11122105061310
1256381266160
13263544066b1
14127b7b7350c
158d75ade1dc
hex4fa8483758

342125721432 has 128 divisors (see below), whose sum is σ = 1038392179200. Its totient is φ = 103509705600.

The previous prime is 342125721409. The next prime is 342125721451. The reversal of 342125721432 is 234127521243.

342125721432 is a `hidden beast` number, since 3 + 4 + 212 + 5 + 7 + 2 + 1 + 432 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1385158 + ... + 1613354.

It is an arithmetic number, because the mean of its divisors is an integer number (8112438900).

Almost surely, 2342125721432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342125721432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519196089600).

342125721432 is an abundant number, since it is smaller than the sum of its proper divisors (696266457768).

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

342125721432 is a wasteful number, since it uses less digits than its factorization.

342125721432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228854 (or 228844 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The spelling of 342125721432 in words is "three hundred forty-two billion, one hundred twenty-five million, seven hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 631 792 1188 1262 1893 2376 2524 3786 5048 5679 6941 7572 11358 13882 15144 17037 20823 22716 27764 34074 41646 45432 55528 62469 68148 83292 124938 136296 166584 187407 228197 249876 374814 456394 499752 684591 749628 912788 1369182 1499256 1825576 2053773 2510167 2738364 4107546 5020334 5476728 6161319 7530501 8215092 10040668 12322638 15061002 16430184 20081336 22591503 24645276 30122004 45183006 49290552 60244008 67774509 90366012 135549018 143992307 180732024 271098036 287984614 431976921 542196072 575969228 863953842 1151938456 1295930763 1583915377 1727907684 2591861526 3167830754 3455815368 3887792289 4751746131 5183723052 6335661508 7775584578 9503492262 10367446104 12671323016 14255238393 15551169156 19006984524 28510476786 31102338312 38013969048 42765715179 57020953572 85531430358 114041907144 171062860716 342125721432