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14199402816 = 263311372719
BaseRepresentation
bin11010011100101100…
…11011000101000000
31100122120200101211000
431032112123011000
5213040021342231
610304554252000
71011605634564
oct151626330500
940576611730
1014199402816
116027213555
122903427000
131453a17401
14989b816a4
155818c06e6
hex34e59b140

14199402816 has 112 divisors (see below), whose sum is σ = 42113606400. Its totient is φ = 4691183616.

The previous prime is 14199402773. The next prime is 14199402823. The reversal of 14199402816 is 61820499141.

It is a happy number.

14199402816 is a `hidden beast` number, since 141 + 99 + 402 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158905 + ... + 231623.

Almost surely, 214199402816 is an apocalyptic number.

14199402816 is a gapful number since it is divisible by the number (16) 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 14199402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21056803200).

14199402816 is an abundant number, since it is smaller than the sum of its proper divisors (27914203584).

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

14199402816 is a wasteful number, since it uses less digits than its factorization.

14199402816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72853 (or 72837 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 14199402816 in words is "fourteen billion, one hundred ninety-nine million, four hundred two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 144 192 216 226 288 339 432 452 576 678 864 904 1017 1356 1728 1808 2034 2712 3051 3616 4068 5424 6102 7232 8136 10848 12204 16272 21696 24408 32544 48816 65088 72719 97632 145438 195264 218157 290876 436314 581752 654471 872628 1163504 1308942 1745256 1963413 2327008 2617884 3490512 3926826 4654016 5235768 6981024 7853652 8217247 10471536 13962048 15707304 16434494 20943072 24651741 31414608 32868988 41886144 49303482 62829216 65737976 73955223 98606964 125658432 131475952 147910446 197213928 221865669 262951904 295820892 394427856 443731338 525903808 591641784 788855712 887462676 1183283568 1577711424 1774925352 2366567136 3549850704 4733134272 7099701408 14199402816