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14164136415 = 33511131743159
BaseRepresentation
bin11010011000011111…
…11001000111011111
31100120010022200102000
431030033321013133
5213002004331130
610301254333343
71011000113232
oct151417710737
940503280360
1014164136415
116009316370
1228b365a253
13144961a310
14985201419
1557d756260
hex34c3f91df

14164136415 has 128 divisors (see below), whose sum is σ = 31323801600. Its totient is φ = 5966161920.

The previous prime is 14164136411. The next prime is 14164136429. The reversal of 14164136415 is 51463146141.

14164136415 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 4 + 1 + 3 + 641 + 5 = 666.

It is not a de Polignac number, because 14164136415 - 22 = 14164136411 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14164136415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14164136411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306606 + ... + 349764.

It is an arithmetic number, because the mean of its divisors is an integer number (244717200).

Almost surely, 214164136415 is an apocalyptic number.

14164136415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14164136415 is an abundant number, since it is smaller than the sum of its proper divisors (17159665185).

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

14164136415 is a wasteful number, since it uses less digits than its factorization.

14164136415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43214 (or 43208 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 14164136415 in words is "fourteen billion, one hundred sixty-four million, one hundred thirty-six thousand, four hundred fifteen".

Divisors: 1 3 5 9 11 13 15 17 27 33 39 45 51 55 65 85 99 117 135 143 153 165 187 195 221 255 297 351 429 459 495 561 585 663 715 765 935 1105 1287 1485 1683 1755 1989 2145 2295 2431 2805 3315 3861 5049 5967 6435 7293 8415 9945 12155 19305 21879 25245 29835 36465 43159 65637 109395 129477 215795 328185 388431 474749 561067 647385 733703 1165293 1424247 1683201 1942155 2201109 2373745 2805335 3668515 4272741 5049603 5826465 6171737 6603327 7121235 8070733 8416005 9538139 11005545 12818223 15148809 18515211 19809981 21363705 24212199 25248015 28614417 30858685 33016635 40353665 47690695 55545633 64091115 72636597 75744045 85843251 92576055 99049905 104919529 121060995 143072085 166636899 217909791 257529753 277728165 314758587 363182985 429216255 524597645 833184495 944275761 1089548955 1287648765 1573792935 2832827283 4721378805 14164136415