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14842877116872 = 2337253238141399
BaseRepresentation
bin1101011111111110000001…
…1010110000000111001000
31221112222001121220220121210
43113333200122300013020
53421141203020214442
651322420144533120
73061235221546200
oct327774032600710
957488047826553
1014842877116872
1148029131a7962
1217b87956211a0
138388a607109c
1439458313b400
151ab16d59619c
hexd7fe06b01c8

14842877116872 has 96 divisors (see below), whose sum is σ = 43979953752000. Its totient is φ = 4160806505856.

The previous prime is 14842877116849. The next prime is 14842877116883. The reversal of 14842877116872 is 27861177824841.

14842877116872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×148428771168722 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119008372 + ... + 119133027.

It is an arithmetic number, because the mean of its divisors is an integer number (458124518250).

Almost surely, 214842877116872 is an apocalyptic number.

14842877116872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14842877116872 is an abundant number, since it is smaller than the sum of its proper divisors (29137076635128).

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

14842877116872 is a wasteful number, since it uses less digits than its factorization.

14842877116872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238141475 (or 238141464 counting only the distinct ones).

The product of its digits is 67436544, while the sum is 66.

The spelling of 14842877116872 in words is "fourteen trillion, eight hundred forty-two billion, eight hundred seventy-seven million, one hundred sixteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 371 392 424 588 636 742 1113 1176 1272 1484 2226 2597 2968 4452 5194 7791 8904 10388 15582 20776 31164 62328 238141399 476282798 714424197 952565596 1428848394 1666989793 1905131192 2857696788 3333979586 5000969379 5715393576 6667959172 10001938758 11668928551 12621494147 13335918344 20003877516 23337857102 25242988294 35006785653 37864482441 40007755032 46675714204 50485976588 70013571306 75728964882 88350459029 93351428408 100971953176 140027142612 151457929764 176700918058 265051377087 280054285224 302915859528 353401836116 530102754174 618453213203 706803672232 1060205508348 1236906426406 1855359639609 2120411016696 2473812852812 3710719279218 4947625705624 7421438558436 14842877116872