Search a number
-
+
14356444465341 = 331199014882153
BaseRepresentation
bin1101000011101001111011…
…0001011100100010111101
31212211110111022001220122000
43100322132301130202331
53340203444240342331
650311132021012513
73011135035332366
oct320723661344275
955743438056560
1014356444465341
1146355966a1150
12173a460254139
13801a649caa74
14378bd9b6ab6d
1519d69dad30e6
hexd0e9ec5c8bd

14356444465341 has 32 divisors (see below), whose sum is σ = 23204682675840. Its totient is φ = 8699994864000.

The previous prime is 14356444465327. The next prime is 14356444465357.

14356444465341 is a `hidden beast` number, since 1 + 4 + 3 + 5 + 64 + 4 + 4 + 46 + 534 + 1 = 666.

14356444465341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14356444465341 - 26 = 14356444465277 is a prime.

It is a super-2 number, since 2×143564444653412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14356444465361) 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, 499521 + ... + 5381673.

It is an arithmetic number, because the mean of its divisors is an integer number (725146333620).

Almost surely, 214356444465341 is an apocalyptic number.

14356444465341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14356444465341 is a deficient number, since it is larger than the sum of its proper divisors (8848238210499).

14356444465341 is a wasteful number, since it uses less digits than its factorization.

14356444465341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892074 (or 4892068 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 14356444465341 in words is "fourteen trillion, three hundred fifty-six billion, four hundred forty-four million, four hundred sixty-five thousand, three hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 9901 29703 89109 108911 267327 326733 980199 2940597 4882153 14646459 43939377 53703683 131818131 161111049 483333147 1449999441 48338196853 145014590559 435043771677 531720165383 1305131315031 1595160496149 4785481488447 14356444465341