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142232464 = 241131131199
BaseRepresentation
bin10000111101001…
…00101110010000
3100220122011021001
420132210232100
5242402414324
622040311344
73344645623
oct1036445620
9326564231
10142232464
11733173a0
123b772554
132360c52a
1414c65dba
15c747e44
hex87a4b90

142232464 has 80 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 61776000.

The previous prime is 142232449. The next prime is 142232471. The reversal of 142232464 is 464232241.

It is a super-2 number, since 2×1422324642 = 40460147631022592, which contains 22 as substring.

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, 714637 + ... + 714835.

It is an arithmetic number, because the mean of its divisors is an integer number (3928320).

Almost surely, 2142232464 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 142232464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

142232464 is an abundant number, since it is smaller than the sum of its proper divisors (172033136).

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

142232464 is a wasteful number, since it uses less digits than its factorization.

142232464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 142232464 is about 11926.1252718559. The cubic root of 142232464 is about 521.9948816065.

The spelling of 142232464 in words is "one hundred forty-two million, two hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 131 176 199 248 262 341 398 496 524 682 796 1048 1364 1441 1592 2096 2189 2728 2882 3184 4061 4378 5456 5764 6169 8122 8756 11528 12338 16244 17512 23056 24676 26069 32488 35024 44671 49352 52138 64976 67859 89342 98704 104276 135718 178684 208552 271436 286759 357368 417104 542872 573518 714736 808139 1085744 1147036 1616278 2294072 3232556 4588144 6465112 8889529 12930224 17779058 35558116 71116232 142232464