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14354151214401 = 332731736926417
BaseRepresentation
bin1101000011100001011000…
…0101011000110101000001
31212211020120110220200202000
43100320112011120311001
53340134300202330101
650310112300414213
73011024151120525
oct320702605306501
955736513820660
1014354151214401
11463461a16a839
121739b20247369
1380178a87984b
14378a5d377d85
1519d5b75e6486
hexd0e16158d41

14354151214401 has 32 divisors (see below), whose sum is σ = 21276888124800. Its totient is φ = 9564269944320.

The previous prime is 14354151214379. The next prime is 14354151214427. The reversal of 14354151214401 is 10441215145341.

14354151214401 is a `hidden beast` number, since 1 + 4 + 3 + 541 + 51 + 21 + 4 + 40 + 1 = 666.

It is not a de Polignac number, because 14354151214401 - 29 = 14354151213889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14354151294401) 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, 543354745 + ... + 543381161.

It is an arithmetic number, because the mean of its divisors is an integer number (664902753900).

Almost surely, 214354151214401 is an apocalyptic number.

It is an amenable number.

14354151214401 is a deficient number, since it is larger than the sum of its proper divisors (6922736910399).

14354151214401 is a wasteful number, since it uses less digits than its factorization.

14354151214401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36526 (or 36520 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 14354151214401 its reverse (10441215145341), we get a palindrome (24795366359742).

The spelling of 14354151214401 in words is "fourteen trillion, three hundred fifty-four billion, one hundred fifty-one million, two hundred fourteen thousand, four hundred one".

Divisors: 1 3 9 27 2731 7369 8193 22107 24579 26417 66321 73737 79251 198963 237753 713259 20124739 60374217 72144827 181122651 194666873 216434481 543367953 584000619 649303443 1752001857 1947910329 5256005571 531635230163 1594905690489 4784717071467 14354151214401