Search a number
-
+
14726440116432 = 243511344333149
BaseRepresentation
bin1101011001001100010000…
…1110110110000011010000
31221010211111221011102200000
43112103010032312003100
53412234222132211212
651153122211530000
73046643625432462
oct326230416660320
957124457142600
1014726440116432
1147684a258a080
12179a0babb9900
1382a90b0b06a5
1438ca990b2132
151a81062e41dc
hexd64c43b60d0

14726440116432 has 120 divisors (see below), whose sum is σ = 46625463175200. Its totient is φ = 4462557598080.

The previous prime is 14726440116407. The next prime is 14726440116461. The reversal of 14726440116432 is 23461104462741.

14726440116432 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 64 + 40 + 116 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 172123807 + ... + 172209342.

It is an arithmetic number, because the mean of its divisors is an integer number (388545526460).

Almost surely, 214726440116432 is an apocalyptic number.

14726440116432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14726440116432 is an abundant number, since it is smaller than the sum of its proper divisors (31899023058768).

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

14726440116432 is a wasteful number, since it uses less digits than its factorization.

14726440116432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344333183 (or 344333165 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 14726440116432 in words is "fourteen trillion, seven hundred twenty-six billion, four hundred forty million, one hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 7128 10692 14256 21384 42768 344333149 688666298 1032999447 1377332596 2065998894 2754665192 3098998341 3787664639 4131997788 5509330384 6197996682 7575329278 8263995576 9296995023 11362993917 12395993364 15150658556 16527991152 18593990046 22725987834 24791986728 27890985069 30301317112 34088981751 37187980092 45451975668 49583973456 55781970138 60602634224 68177963502 74375960184 83672955207 90903951336 102266945253 111563940276 136355927004 148751920368 167345910414 181807902672 204533890506 223127880552 272711854008 306800835759 334691820828 409067781012 446255761104 545423708016 613601671518 669383641656 818135562024 920402507277 1227203343036 1338767283312 1636271124048 1840805014554 2454406686072 3681610029108 4908813372144 7363220058216 14726440116432