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142465702572 = 223253487115329
BaseRepresentation
bin1000010010101110011…
…1100001101010101100
3111121201200100112210200
42010223213201222230
54313232204440242
6145240422233500
713202301330354
oct2045347415254
9447650315720
10142465702572
11554681a1a66
122373b585890
13105856733bb
146c76cb1b64
153a8c42504c
hex212b9e1aac

142465702572 has 72 divisors (see below), whose sum is σ = 367015652640. Its totient is φ = 46579952640.

The previous prime is 142465702571. The next prime is 142465702579. The reversal of 142465702572 is 275207564241.

142465702572 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 6 + 5 + 70 + 2 + 572 = 666.

It is not an unprimeable number, because it can be changed into a prime (142465702571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9286204 + ... + 9301532.

It is an arithmetic number, because the mean of its divisors is an integer number (5097439620).

Almost surely, 2142465702572 is an apocalyptic number.

142465702572 is a gapful number since it is divisible by the number (12) 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 142465702572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183507826320).

142465702572 is an abundant number, since it is smaller than the sum of its proper divisors (224549950068).

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

142465702572 is a wasteful number, since it uses less digits than its factorization.

142465702572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20263 (or 20258 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 142465702572 in words is "one hundred forty-two billion, four hundred sixty-five million, seven hundred two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 4871 9742 14613 15329 19484 29226 30658 43839 45987 58452 61316 87678 91974 137961 175356 183948 258163 275922 516326 551844 774489 812437 1032652 1548978 1624874 2323467 2437311 3097956 3249748 4646934 4874622 7311933 9293868 9749244 14623866 29247732 74667559 149335118 224002677 298670236 448005354 672008031 896010708 1344016062 2688032124 3957380627 7914761254 11872141881 15829522508 23744283762 35616425643 47488567524 71232851286 142465702572