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142457934096 = 24327124432
BaseRepresentation
bin1000010010101100100…
…1111001000100010000
3111121201010201212110100
42010223021321010100
54313223212342341
6145235543532400
713202145313632
oct2045311710420
9447633655410
10142457934096
1155463876435
1223738a5a100
1310583b8347a
146c75c4ca52
153a8b8dd3b6
hex212b279110

142457934096 has 135 divisors (see below), whose sum is σ = 405293597527. Its totient is φ = 46711479360.

The previous prime is 142457934089. The next prime is 142457934107. The reversal of 142457934096 is 690439754241.

The square root of 142457934096 is 377436.

It is a perfect power (a square), and thus also a powerful number.

142457934096 is a `hidden beast` number, since 1 + 4 + 24 + 579 + 3 + 40 + 9 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 321575251 + ... + 321575693.

Almost surely, 2142457934096 is an apocalyptic number.

142457934096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142457934096 is the 377436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142457934096

142457934096 is an abundant number, since it is smaller than the sum of its proper divisors (262835663431).

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

142457934096 is an frugal number, since it uses more digits than its factorization.

142457934096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 142457934096 in words is "one hundred forty-two billion, four hundred fifty-seven million, nine hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 443 568 639 852 886 1136 1278 1329 1704 1772 2556 2658 3408 3544 3987 5041 5112 5316 7088 7974 10082 10224 10632 15123 15948 20164 21264 30246 31453 31896 40328 45369 60492 62906 63792 80656 90738 94359 120984 125812 181476 188718 196249 241968 251624 283077 362952 377436 392498 503248 566154 588747 725904 754872 784996 1132308 1177494 1509744 1569992 1766241 2233163 2264616 2354988 3139984 3532482 4466326 4529232 4709976 6699489 7064964 8932652 9419952 13398978 13933679 14129928 17865304 20098467 26797956 27867358 28259856 35730608 40196934 41801037 53595912 55734716 80393868 83602074 107191824 111469432 125403111 160787736 167204148 222938864 250806222 321575472 334408296 501612444 668816592 989291209 1003224888 1978582418 2006449776 2967873627 3957164836 5935747254 7914329672 8903620881 11871494508 15828659344 17807241762 23742989016 35614483524 47485978032 71228967048 142457934096