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142066052656 = 24117933130869
BaseRepresentation
bin1000010001001111001…
…0111110111000110000
3111120200211100020011221
42010103302332320300
54311422402141111
6145133024314424
713156346344303
oct2042362767060
9446624306157
10142066052656
1155282646080
1223649772a14
1310520925268
146c39b9cb3a
153a672d0371
hex2113cbee30

142066052656 has 80 divisors (see below), whose sum is σ = 305005478400. Its totient is φ = 63563385600.

The previous prime is 142066052563. The next prime is 142066052701. The reversal of 142066052656 is 656250660241.

It is a happy 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, 4586790 + ... + 4617658.

It is an arithmetic number, because the mean of its divisors is an integer number (3812568480).

Almost surely, 2142066052656 is an apocalyptic number.

142066052656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142066052656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152502739200).

142066052656 is an abundant number, since it is smaller than the sum of its proper divisors (162939425744).

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

142066052656 is a wasteful number, since it uses less digits than its factorization.

142066052656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31298 (or 31292 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 142066052656 in words is "one hundred forty-two billion, sixty-six million, fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 331 632 662 869 1264 1324 1738 2648 3476 3641 5296 6952 7282 13904 14564 26149 29128 30869 52298 58256 61738 104596 123476 209192 246952 287639 339559 418384 493904 575278 679118 1150556 1358236 2301112 2438651 2716472 4602224 4877302 5432944 9754604 10217639 19509208 20435278 26825161 39018416 40870556 53650322 81741112 107300644 112394029 163482224 214601288 224788058 429202576 449576116 807193481 899152232 1614386962 1798304464 3228773924 6457547848 8879128291 12915095696 17758256582 35516513164 71033026328 142066052656