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142326322461420 = 223597187913014739
BaseRepresentation
bin100000010111000111101101…
…111001000111101011101100
3200122221021010010101000010220
4200113013231321013223230
5122123333302022231140
61222411450534531340
741656510643661516
oct4027075571075354
9618837103330126
10142326322461420
1141393288654179
1213b67965506b50
1361554122aa716
1427208b8b52bb6
15116c37a9c5bd0
hex8171ede47aec

142326322461420 has 96 divisors (see below), whose sum is σ = 402836397196800. Its totient is φ = 37542417352704.

The previous prime is 142326322461383. The next prime is 142326322461437. The reversal of 142326322461420 is 24164223623241.

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, 4428411 + ... + 17443149.

It is an arithmetic number, because the mean of its divisors is an integer number (4196212470800).

Almost surely, 2142326322461420 is an apocalyptic number.

142326322461420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142326322461420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201418198598400).

142326322461420 is an abundant number, since it is smaller than the sum of its proper divisors (260510074735380).

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

142326322461420 is a wasteful number, since it uses less digits than its factorization.

142326322461420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13016727 (or 13016725 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 142326322461420 in words is "one hundred forty-two trillion, three hundred twenty-six billion, three hundred twenty-two million, four hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1879 1940 2910 3758 5637 5820 7516 9395 11274 18790 22548 28185 37580 56370 112740 182263 364526 546789 729052 911315 1093578 1822630 2187156 2733945 3645260 5467890 10935780 13014739 26029478 39044217 52058956 65073695 78088434 130147390 156176868 195221085 260294780 390442170 780884340 1262429683 2524859366 3787289049 5049718732 6312148415 7574578098 12624296830 15149156196 18936445245 24454694581 25248593660 37872890490 48909389162 73364083743 75745780980 97818778324 122273472905 146728167486 244546945810 293456334972 366820418715 489093891620 733640837430 1467281674860 2372105374357 4744210748714 7116316123071 9488421497428 11860526871785 14232632246142 23721053743570 28465264492284 35581580615355 47442107487140 71163161230710 142326322461420