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141755262016 = 2619224772
BaseRepresentation
bin1000010000000101000…
…1011010010001000000
3111112220011112102120111
42010001101122101000
54310303321341031
6145042123121104
713145553563164
oct2040121322100
9445804472514
10141755262016
1155133171505
1223581673194
13104a1419a84
146c0a7baca4
153a49d8e1b1
hex210145a440

141755262016 has 63 divisors (see below), whose sum is σ = 296999744709. Its totient is φ = 67120121088.

The previous prime is 141755261971. The next prime is 141755262029. The reversal of 141755262016 is 610262557141.

The square root of 141755262016 is 376504.

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

It can be written as a sum of positive squares in only one way, i.e., 71160897600 + 70594364416 = 266760^2 + 265696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 141755262016.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57227370 + ... + 57229846.

Almost surely, 2141755262016 is an apocalyptic number.

141755262016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

141755262016 is the 376504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141755262016

141755262016 is an abundant number, since it is smaller than the sum of its proper divisors (155244482693).

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

141755262016 is an frugal number, since it uses more digits than its factorization.

141755262016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 141755262016 in words is "one hundred forty-one billion, seven hundred fifty-five million, two hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2477 2888 4954 5776 9908 11552 19816 23104 39632 47063 79264 94126 158528 188252 376504 753008 894197 1506016 1788394 3012032 3576788 6135529 7153576 12271058 14307152 24542116 28614304 49084232 57228608 98168464 116575051 196336928 233150102 392673856 466300204 932600408 1865200816 2214925969 3730401632 4429851938 7460803264 8859703876 17719407752 35438815504 70877631008 141755262016