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14164129395 = 345132992767
BaseRepresentation
bin11010011000011111…
…10111011001110011
31100120010022022210000
431030033313121303
5213002004120040
610301254241043
71011000053613
oct151417673163
940503268700
1014164129395
116009311069
1228b3656183
131449617070
149851dca43
1557d754130
hex34c3f7673

14164129395 has 80 divisors (see below), whose sum is σ = 28286818560. Its totient is φ = 6732585216.

The previous prime is 14164129391. The next prime is 14164129417. The reversal of 14164129395 is 59392146141.

14164129395 is a `hidden beast` number, since 141 + 6 + 412 + 9 + 3 + 95 = 666.

It is not a de Polignac number, because 14164129395 - 22 = 14164129391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14164129395.

It is not an unprimeable number, because it can be changed into a prime (14164129391) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106302 + ... + 199068.

It is an arithmetic number, because the mean of its divisors is an integer number (353585232).

Almost surely, 214164129395 is an apocalyptic number.

14164129395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14164129395 is a deficient number, since it is larger than the sum of its proper divisors (14122689165).

14164129395 is a wasteful number, since it uses less digits than its factorization.

14164129395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92826 (or 92817 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 14164129395 in words is "fourteen billion, one hundred sixty-four million, one hundred twenty-nine thousand, three hundred ninety-five".

Divisors: 1 3 5 9 13 15 27 29 39 45 65 81 87 117 135 145 195 261 351 377 405 435 585 783 1053 1131 1305 1755 1885 2349 3393 3915 5265 5655 10179 11745 16965 30537 50895 92767 152685 278301 463835 834903 1205971 1391505 2504709 2690243 3617913 4174515 6029855 7514127 8070729 10853739 12523545 13451215 18089565 24212187 32561217 34973159 37570635 40353645 54268695 72636561 97683651 104919477 121060935 162806085 174865795 217909683 314758431 363182805 488418255 524597385 944275293 1089548415 1573792155 2832825879 4721376465 14164129395