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14095489324914 = 2331933157172689
BaseRepresentation
bin1100110100011101110010…
…1000100101011101110010
31211220111220212221021001000
43031013130220211131302
53321420030231344124
645551213422422430
72653236236254614
oct315073450453562
954814825837030
1014095489324914
114544955289838
1216b7972a31a16
137b32780bcc7a
1436a322404db4
151969c913b6c9
hexcd1dca25772

14095489324914 has 128 divisors (see below), whose sum is σ = 33129892224000. Its totient is φ = 4429926547200.

The previous prime is 14095489324913. The next prime is 14095489324927. The reversal of 14095489324914 is 41942398459041.

14095489324914 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 54 + 8 + 93 + 2 + 491 + 4 = 666.

It is a super-2 number, since 2×140954893249142 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14095489324913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193878682 + ... + 193951370.

It is an arithmetic number, because the mean of its divisors is an integer number (258827283000).

Almost surely, 214095489324914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14095489324914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16564946112000).

14095489324914 is an abundant number, since it is smaller than the sum of its proper divisors (19034402899086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14095489324914 is a wasteful number, since it uses less digits than its factorization.

14095489324914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73621 (or 73615 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 14095489324914 in words is "fourteen trillion, ninety-five billion, four hundred eighty-nine million, three hundred twenty-four thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 331 342 513 571 662 993 1026 1142 1713 1986 2979 3426 5139 5958 6289 8937 10278 10849 12578 15417 17874 18867 21698 30834 32547 37734 56601 65094 72689 97641 113202 145378 169803 189001 195282 218067 292923 339606 378002 436134 567003 585846 654201 1134006 1308402 1381091 1701009 1962603 2762182 3402018 3591019 3925206 4143273 5103027 7182038 8286546 10206054 10773057 12429819 21546114 24060059 24859638 32319171 37289457 41505419 48120118 64638342 72180177 74578914 83010838 96957513 124516257 144360354 193915026 216540531 249032514 373548771 433081062 457141121 649621593 747097542 788602961 914282242 1120646313 1299243186 1371423363 1577205922 2241292626 2365808883 2742846726 4114270089 4731617766 7097426649 8228540178 12342810267 13738293689 14194853298 21292279947 24685620534 27476587378 41214881067 42584559894 82429762134 123644643201 247289286402 261027580091 370933929603 522055160182 741867859206 783082740273 1566165480546 2349248220819 4698496441638 7047744662457 14095489324914