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14031414120402 = 2327478641274201
BaseRepresentation
bin1100110000101111000101…
…1101000100111111010010
31211200101112101010121122100
43030023301131010333102
53314342314003323102
645501535340421230
72645510344102320
oct314136135047722
954611471117570
1014031414120402
11451a764522268
1216a7470247816
137aa20629c983
143671a4622d10
15194ec8c5aa1c
hexcc2f1744fd2

14031414120402 has 96 divisors (see below), whose sum is σ = 35487933571584. Its totient is φ = 3923209728000.

The previous prime is 14031414120379. The next prime is 14031414120439. The reversal of 14031414120402 is 20402141413041.

14031414120402 is a `hidden beast` number, since 1 + 4 + 0 + 314 + 141 + 204 + 0 + 2 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 51034902 + ... + 51309102.

It is an arithmetic number, because the mean of its divisors is an integer number (369665974704).

Almost surely, 214031414120402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14031414120402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743966785792).

14031414120402 is an abundant number, since it is smaller than the sum of its proper divisors (21456519451182).

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

14031414120402 is a wasteful number, since it uses less digits than its factorization.

14031414120402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282904 (or 282901 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14031414120402 its reverse (20402141413041), we get a palindrome (34433555533443).

The spelling of 14031414120402 in words is "fourteen trillion, thirty-one billion, four hundred fourteen million, one hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 5922 8641 17282 25923 51846 60487 77769 120974 155538 181461 274201 362922 406127 544383 548402 812254 822603 1088766 1218381 1645206 1919407 2436762 2467809 2842889 3655143 3838814 4935618 5685778 5758221 7310286 8528667 11516442 12887447 17057334 17274663 25586001 25774894 34549326 38662341 51172002 77324682 90212129 115987023 180424258 231974046 270636387 541272774 811909161 1623818322 2369370841 4738741682 7108112523 14216225046 16585595887 21324337569 33171191774 42648675138 49756787661 99513575322 111360429527 149270362983 222720859054 298540725966 334081288581 668162577162 779523006689 1002243865743 1559046013378 2004487731486 2338569020067 4677138040134 7015707060201 14031414120402