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142331964 = 223191993137
BaseRepresentation
bin10000111101111…
…01000000111100
3100220211012202020
420132331000330
5242414110324
622042400140
73345541665
oct1036750074
9326735666
10142331964
1173385125
123b800050
13236458c8
1414c9036c
15c767679
hex87bd03c

142331964 has 48 divisors (see below), whose sum is σ = 351456000. Its totient is φ = 44706816.

The previous prime is 142331957. The next prime is 142331989. The reversal of 142331964 is 469133241.

142331964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43804 + ... + 46940.

It is an arithmetic number, because the mean of its divisors is an integer number (7322000).

Almost surely, 2142331964 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 142331964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175728000).

142331964 is an abundant number, since it is smaller than the sum of its proper divisors (209124036).

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

142331964 is a wasteful number, since it uses less digits than its factorization.

142331964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3360 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 142331964 is about 11930.2960566786. The cubic root of 142331964 is about 522.1165753057.

The spelling of 142331964 in words is "one hundred forty-two million, three hundred thirty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 199 228 398 597 796 1194 2388 3137 3781 6274 7562 9411 11343 12548 15124 18822 22686 37644 45372 59603 119206 178809 238412 357618 624263 715236 1248526 1872789 2497052 3745578 7491156 11860997 23721994 35582991 47443988 71165982 142331964