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14821052400231 = 3711113995628599
BaseRepresentation
bin1101011110101100101110…
…0100000100001001100111
31221110212201121212102201020
43113223023210010021213
53420312003403301411
651304410353302223
73056533331532540
oct327531344041147
957425647772636
1014821052400231
1147a4633772260
1217b4504564973
1383680863117c
143934b27874c7
151aa7e253d606
hexd7acb904267

14821052400231 has 32 divisors (see below), whose sum is σ = 24639759360000. Its totient is φ = 7698571200480.

The previous prime is 14821052400227. The next prime is 14821052400313. The reversal of 14821052400231 is 13200425012841.

14821052400231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14821052400231 - 22 = 14821052400227 is a prime.

It is a super-2 number, since 2×148210524002312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 14821052400192 and 14821052400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14821052400221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181131 + ... + 5447468.

It is an arithmetic number, because the mean of its divisors is an integer number (769992480000).

Almost surely, 214821052400231 is an apocalyptic number.

14821052400231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14821052400231 is a deficient number, since it is larger than the sum of its proper divisors (9818706959769).

14821052400231 is a wasteful number, since it uses less digits than its factorization.

14821052400231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640019.

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 14821052400231 in words is "fourteen trillion, eight hundred twenty-one billion, fifty-two million, four hundred thousand, two hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 11399 34197 79793 125389 239379 376167 877723 2633169 5628599 16885797 39400193 61914589 118200579 185743767 433402123 1300206369 64160400001 192481200003 449122800007 705764400011 1347368400021 2117293200033 4940350800077 14821052400231