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142135232224 = 2519563415231
BaseRepresentation
bin1000010001011111101…
…0111000011011100000
3111120212122111220201011
42010113322320123200
54312043104412344
6145143535150304
713161146353066
oct2042772703340
9446778456634
10142135232224
11553086a6777
1223668975394
131053206750b
146c4504a036
153a6d3e7d34
hex2117eb86e0

142135232224 has 48 divisors (see below), whose sum is σ = 295080468480. Its totient is φ = 67207466880.

The previous prime is 142135232203. The next prime is 142135232251. The reversal of 142135232224 is 422232531241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134689 + ... + 549919.

It is an arithmetic number, because the mean of its divisors is an integer number (6147509760).

Almost surely, 2142135232224 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 142135232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147540234240).

142135232224 is an abundant number, since it is smaller than the sum of its proper divisors (152945236256).

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

142135232224 is a wasteful number, since it uses less digits than its factorization.

142135232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415823 (or 415815 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

Adding to 142135232224 its reverse (422232531241), we get a palindrome (564367763465).

The spelling of 142135232224 in words is "one hundred forty-two billion, one hundred thirty-five million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 563 608 1126 2252 4504 9008 10697 18016 21394 42788 85576 171152 342304 415231 830462 1660924 3321848 6643696 7889389 13287392 15778778 31557556 63115112 126230224 233775053 252460448 467550106 935100212 1870200424 3740400848 4441726007 7480801696 8883452014 17766904028 35533808056 71067616112 142135232224