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14034377808 = 24321179112153
BaseRepresentation
bin11010001001000001…
…11001110001010000
31100020002011021001200
431010200321301100
5212220300042213
610240341231200
71004533146243
oct150440716120
940202137050
1014034377808
115a52049850
122878102500
131428787689
14971ca525a
15572174273
hex344839c50

14034377808 has 120 divisors (see below), whose sum is σ = 43390139520. Its totient is φ = 4198970880.

The previous prime is 14034377771. The next prime is 14034377857. The reversal of 14034377808 is 80877343041.

14034377808 is a `hidden beast` number, since 140 + 3 + 437 + 78 + 0 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69060 + ... + 181212.

It is an arithmetic number, because the mean of its divisors is an integer number (361584496).

Almost surely, 214034377808 is an apocalyptic number.

14034377808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14034377808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21695069760).

14034377808 is an abundant number, since it is smaller than the sum of its proper divisors (29355761712).

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

14034377808 is a wasteful number, since it uses less digits than its factorization.

14034377808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112257 (or 112248 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 14034377808 in words is "fourteen billion, thirty-four million, three hundred seventy-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 79 88 99 132 144 158 176 198 237 264 316 396 474 528 632 711 792 869 948 1264 1422 1584 1738 1896 2607 2844 3476 3792 5214 5688 6952 7821 10428 11376 13904 15642 20856 31284 41712 62568 112153 125136 224306 336459 448612 672918 897224 1009377 1233683 1345836 1794448 2018754 2467366 2691672 3701049 4037508 4934732 5383344 7402098 8075016 8860087 9869464 11103147 14804196 16150032 17720174 19738928 22206294 26580261 29608392 35440348 44412588 53160522 59216784 70880696 79740783 88825176 97460957 106321044 141761392 159481566 177650352 194921914 212642088 292382871 318963132 389843828 425284176 584765742 637926264 779687656 877148613 1169531484 1275852528 1559375312 1754297226 2339062968 3508594452 4678125936 7017188904 14034377808