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14016660192 = 2532833831531
BaseRepresentation
bin11010000110111010…
…10100001011100000
31100011211211010001200
431003131110023200
5212201231111232
610234505401200
71004226434343
oct150335241340
940154733050
1014016660192
115a43048297
122872199200
131424bc3092
1496d7b245a
1557082477c
hex3437542e0

14016660192 has 144 divisors (see below), whose sum is σ = 40471861248. Its totient is φ = 4600869120.

The previous prime is 14016660187. The next prime is 14016660197. The reversal of 14016660192 is 29106661041.

It is an interprime number because it is at equal distance from previous prime (14016660187) and next prime (14016660197).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14016660197) 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, 9154467 + ... + 9155997.

It is an arithmetic number, because the mean of its divisors is an integer number (281054592).

Almost surely, 214016660192 is an apocalyptic number.

14016660192 is a gapful number since it is divisible by the number (12) 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 14016660192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20235930624).

14016660192 is an abundant number, since it is smaller than the sum of its proper divisors (26455201056).

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

14016660192 is a wasteful number, since it uses less digits than its factorization.

14016660192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 14016660192 in words is "fourteen billion, sixteen million, six hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 383 498 664 747 766 996 1149 1328 1494 1531 1532 1992 2298 2656 2988 3062 3064 3447 3984 4593 4596 5976 6124 6128 6894 7968 9186 9192 11952 12248 12256 13779 13788 18372 18384 23904 24496 27558 27576 31789 36744 36768 48992 55116 55152 63578 73488 95367 110232 110304 127073 127156 146976 190734 220464 254146 254312 286101 381219 381468 440928 508292 508624 572202 586373 762438 762936 1016584 1017248 1143657 1144404 1172746 1524876 1525872 1759119 2033168 2287314 2288808 2345492 3049752 3051744 3518238 4066336 4574628 4577616 4690984 5277357 6099504 7036476 9149256 9155232 9381968 10554714 12199008 14072952 18298512 18763936 21109428 28145904 36597024 42218856 48668959 56291808 84437712 97337918 146006877 168875424 194675836 292013754 389351672 438020631 584027508 778703344 876041262 1168055016 1557406688 1752082524 2336110032 3504165048 4672220064 7008330096 14016660192