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14934089808 = 24321113816827
BaseRepresentation
bin11011110100010010…
…00010000001010000
31102112210010100220100
431322021002001100
5221041111333213
610505521212400
71036036445301
oct157211020120
942483110810
1014934089808
1163739a4790
122a89491100
13153ccacc41
14a195887a8
155c6145773
hex37a242050

14934089808 has 120 divisors (see below), whose sum is σ = 45633927456. Its totient is φ = 4521542400.

The previous prime is 14934089801. The next prime is 14934089857. The reversal of 14934089808 is 80898043941.

14934089808 is a `hidden beast` number, since 149 + 3 + 408 + 98 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14934089801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2184091 + ... + 2190917.

Almost surely, 214934089808 is an apocalyptic number.

14934089808 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 14934089808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22816963728).

14934089808 is an abundant number, since it is smaller than the sum of its proper divisors (30699837648).

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

14934089808 is a wasteful number, since it uses less digits than its factorization.

14934089808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8233 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 14934089808 in words is "fourteen billion, nine hundred thirty-four million, eighty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1381 1584 2762 4143 5524 6827 8286 11048 12429 13654 15191 16572 20481 22096 24858 27308 30382 33144 40962 45573 49716 54616 60764 61443 66288 75097 81924 91146 99432 109232 121528 122886 136719 150194 163848 182292 198864 225291 243056 245772 273438 300388 327696 364584 450582 491544 546876 600776 675873 729168 901164 983088 1093752 1201552 1351746 1802328 2187504 2703492 3604656 5406984 9428087 10813968 18856174 28284261 37712348 56568522 75424696 84852783 103708957 113137044 150849392 169705566 207417914 226274088 311126871 339411132 414835828 452548176 622253742 678822264 829671656 933380613 1244507484 1357644528 1659343312 1866761226 2489014968 3733522452 4978029936 7467044904 14934089808