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142805344 = 25112331569
BaseRepresentation
bin10001000001100…
…00100101100000
3100221201021002211
420200300211200
5243024232334
622100451504
73352553053
oct1040604540
9327637084
10142805344
1173678850
123b9a9b94
1323780206
1414d74a9a
15c80ca64
hex8830960

142805344 has 96 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 59980800.

The previous prime is 142805329. The next prime is 142805371. The reversal of 142805344 is 443508241.

142805344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 250692 + ... + 251260.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2142805344 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 142805344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

142805344 is an abundant number, since it is smaller than the sum of its proper divisors (188141216).

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

142805344 is a wasteful number, since it uses less digits than its factorization.

142805344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 142805344 is about 11950.1189952234. The cubic root of 142805344 is about 522.6947683188.

The spelling of 142805344 in words is "one hundred forty-two million, eight hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 31 32 44 46 62 88 92 124 176 184 248 253 341 352 368 496 506 569 682 713 736 992 1012 1138 1364 1426 2024 2276 2728 2852 4048 4552 5456 5704 6259 7843 8096 9104 10912 11408 12518 13087 15686 17639 18208 22816 25036 26174 31372 35278 50072 52348 62744 70556 100144 104696 125488 141112 143957 194029 200288 209392 250976 282224 287914 388058 405697 418784 564448 575828 776116 811394 1151656 1552232 1622788 2303312 3104464 3245576 4462667 4606624 6208928 6491152 8925334 12982304 17850668 35701336 71402672 142805344