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14164374015 = 355119971063
BaseRepresentation
bin11010011000100001…
…10011000111111111
31100120010202202100000
431030100303013333
5213002034432030
610301303405343
71011002123031
oct151420630777
940503682300
1014164374015
116009468930
1228b3753853
1314496a14cc
14985263c51
1557d7a1860
hex34c4331ff

14164374015 has 96 divisors (see below), whose sum is σ = 27829541376. Its totient is φ = 6854232960.

The previous prime is 14164374013. The next prime is 14164374023. The reversal of 14164374015 is 51047346141.

14164374015 is a `hidden beast` number, since 1 + 4 + 1 + 643 + 7 + 4 + 0 + 1 + 5 = 666.

It is not a de Polignac number, because 14164374015 - 21 = 14164374013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14164374013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13324374 + ... + 13325436.

It is an arithmetic number, because the mean of its divisors is an integer number (289891056).

Almost surely, 214164374015 is an apocalyptic number.

14164374015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14164374015 is a deficient number, since it is larger than the sum of its proper divisors (13665167361).

14164374015 is a wasteful number, since it uses less digits than its factorization.

14164374015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14164374015 in words is "fourteen billion, one hundred sixty-four million, three hundred seventy-four thousand, fifteen".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 891 997 1063 1215 1485 2673 2991 3189 4455 4985 5315 8973 9567 10967 11693 13365 14955 15945 26919 28701 32901 35079 44865 47835 54835 58465 80757 86103 98703 105237 134595 143505 164505 175395 242271 258309 296109 315711 403785 430515 493515 526185 888327 947133 1059811 1211355 1291545 1480545 1578555 2664981 2841399 3179433 4441635 4735665 5299055 9538299 11657921 13324905 14206995 15897165 28614897 34973763 47691495 58289605 85844691 104921289 143074485 174868815 257534073 314763867 429223455 524606445 944291601 1287670365 1573819335 2832874803 4721458005 14164374015