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142347664 = 24176773107
BaseRepresentation
bin10000111110000…
…00110110010000
3100220212000021201
420133000312100
5242420111124
622043000544
73345635524
oct1037006620
9326760251
10142347664
11733959a8
123b809154
132364cab4
1414c95d84
15c76c144
hex87c0d90

142347664 has 80 divisors (see below), whose sum is σ = 303248448. Its totient is φ = 64475136.

The previous prime is 142347659. The next prime is 142347679. The reversal of 142347664 is 466743241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330299 + ... + 1330405.

Almost surely, 2142347664 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 142347664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151624224).

142347664 is an abundant number, since it is smaller than the sum of its proper divisors (160900784).

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

142347664 is a wasteful number, since it uses less digits than its factorization.

142347664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The square root of 142347664 is about 11930.9540272352. The cubic root of 142347664 is about 522.1357720451.

The spelling of 142347664 in words is "one hundred forty-two million, three hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 67 68 73 107 134 136 146 214 268 272 292 428 536 584 856 1072 1139 1168 1241 1712 1819 2278 2482 3638 4556 4891 4964 7169 7276 7811 9112 9782 9928 14338 14552 15622 18224 19564 19856 28676 29104 31244 39128 57352 62488 78256 83147 114704 121873 124976 132787 166294 243746 265574 332588 487492 523337 531148 665176 974984 1046674 1062296 1330352 1949968 2093348 2124592 4186696 8373392 8896729 17793458 35586916 71173832 142347664