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12414455441421 = 3112123432770769
BaseRepresentation
bin1011010010100111011100…
…1101001110100000001101
31121221210212202002222112120
42310221313031032200031
53111344301043111141
642223042212323153
72420625531103425
oct264516715164015
947853782088476
1012414455441421
113a56a394a8300
1214860080134b9
136c08a7ac0457
1430cc11931485
15167ddd912c66
hexb4a7734e80d

12414455441421 has 24 divisors (see below), whose sum is σ = 18195668756160. Its totient is φ = 7523300104320.

The previous prime is 12414455441419. The next prime is 12414455441429.

12414455441421 is nontrivially palindromic in base 10.

12414455441421 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 12414455441421 - 21 = 12414455441419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414455441429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3095125 + ... + 5865893.

It is an arithmetic number, because the mean of its divisors is an integer number (758152864840).

Almost surely, 212414455441421 is an apocalyptic number.

12414455441421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12414455441421 is a deficient number, since it is larger than the sum of its proper divisors (5781213314739).

12414455441421 is a wasteful number, since it uses less digits than its factorization.

12414455441421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783137 (or 2783126 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

It can be divided in two parts, 1241445 and 5441421, that added together give a palindrome (6682866).

The spelling of 12414455441421 in words is "twelve trillion, four hundred fourteen billion, four hundred fifty-five million, four hundred forty-one thousand, four hundred twenty-one".

Divisors: 1 3 11 33 121 363 12343 37029 135773 407319 1493503 2770769 4480509 8312307 30478459 91435377 335263049 1005789147 34199601767 102598805301 376195619437 1128586858311 4138151813807 12414455441421