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14054134514031 = 32172361107611887
BaseRepresentation
bin1100110010000011101110…
…1100100000000101101111
31211202120011210120012101200
43030200323230200011233
53320230331413422111
645520214045340543
72650243361211063
oct314407354400557
954676153505350
1014054134514031
1145293635a7287
1216ab951267753
137ac3b7451681
1436831bd29aa3
151958a8739256
hexcc83bb2016f

14054134514031 has 96 divisors (see below), whose sum is σ = 23009886701568. Its totient is φ = 8219048555520.

The previous prime is 14054134513999. The next prime is 14054134514041. The reversal of 14054134514031 is 13041543145041.

14054134514031 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 4 + 134 + 514 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 14054134514031 - 25 = 14054134513999 is a prime.

It is a super-2 number, since 2×140541345140312 (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 (14054134514041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22662570 + ... + 23274456.

It is an arithmetic number, because the mean of its divisors is an integer number (239686319808).

Almost surely, 214054134514031 is an apocalyptic number.

14054134514031 is a deficient number, since it is larger than the sum of its proper divisors (8955752187537).

14054134514031 is a wasteful number, since it uses less digits than its factorization.

14054134514031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612101 (or 612098 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 14054134514031 its reverse (13041543145041), we get a palindrome (27095677659072).

The spelling of 14054134514031 in words is "fourteen trillion, fifty-four billion, one hundred thirty-four million, five hundred fourteen thousand, thirty-one".

Divisors: 1 3 9 17 23 51 61 69 107 153 183 207 321 391 549 963 1037 1173 1403 1819 2461 3111 3519 4209 5457 6527 7383 9333 12627 16371 19581 22149 23851 41837 58743 71553 110959 125511 150121 214659 332877 376533 450363 611887 998631 1351089 1835661 2552057 5506983 7656171 10402079 14073401 22968513 31206237 37325107 42220203 65471909 93618711 111975321 126660609 196415727 239247817 335925963 589247181 634526819 717743451 858477461 1113022453 1505853907 1903580457 2153230353 2575432383 3339067359 3993786449 4517561721 5710741371 7726297149 10017202077 11981359347 13552685163 14594116837 25599516419 35944078041 43782350511 67894369633 76798549257 91857088327 131347051533 203683108899 230395647771 275571264981 611049326697 826713794943 1561570501559 4684711504677 14054134514031