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14997244279941 = 32711197109853021
BaseRepresentation
bin1101101000111101000101…
…1010101111110010000101
31222002201111201222021222200
43122033101122233302011
53431203324013424231
651521350000545113
73105341460023250
oct332172132576205
958081451867880
1014997244279941
114862328467290
121822696922199
1384a3073271b1
1439bc288da097
151b01a5774be6
hexda3d16afc85

14997244279941 has 48 divisors (see below), whose sum is σ = 27145121148288. Its totient is φ = 7751229091200.

The previous prime is 14997244279903. The next prime is 14997244279991.

It is a happy number.

14997244279941 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 72 + 4 + 427 + 99 + 41 = 666.

14997244279941 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14997244279941 - 222 = 14997240085637 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14997244279941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14997244279991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54789990 + ... + 55063031.

It is an arithmetic number, because the mean of its divisors is an integer number (565523357256).

Almost surely, 214997244279941 is an apocalyptic number.

14997244279941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14997244279941 is a deficient number, since it is larger than the sum of its proper divisors (12147876868347).

14997244279941 is a wasteful number, since it uses less digits than its factorization.

14997244279941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109853242 (or 109853239 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 14997244279941 in words is "fourteen trillion, nine hundred ninety-seven billion, two hundred forty-four million, two hundred seventy-nine thousand, nine hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 197 231 591 693 1379 1773 2167 4137 6501 12411 15169 19503 45507 136521 109853021 329559063 768971147 988677189 1208383231 2306913441 3625149693 6920740323 8458682617 10875449079 21641045137 25376047851 64923135411 76128143553 151487315959 194769406233 238051496507 454461947877 714154489521 1363385843631 1666360475549 2142463468563 4999081426647 14997244279941