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14029971720 = 23351517511031
BaseRepresentation
bin11010001000100000…
…00110000100001000
31100012202212102001020
431010100012010020
5212213133043340
610240102552440
71004450535432
oct150420060410
940182772036
1014029971720
115a4a60a456
122876738720
1314278a401b
14971479652
15571aa39d0
hex344406108

14029971720 has 128 divisors (see below), whose sum is σ = 42466222080. Its totient is φ = 3708000000.

The previous prime is 14029971719. The next prime is 14029971731. The reversal of 14029971720 is 2717992041.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13607605 + ... + 13608635.

It is an arithmetic number, because the mean of its divisors is an integer number (331767360).

Almost surely, 214029971720 is an apocalyptic number.

14029971720 is a gapful number since it is divisible by the number (10) 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 14029971720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21233111040).

14029971720 is an abundant number, since it is smaller than the sum of its proper divisors (28436250360).

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

14029971720 is a wasteful number, since it uses less digits than its factorization.

14029971720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 14029971720 in words is "fourteen billion, twenty-nine million, nine hundred seventy-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 751 755 906 1031 1208 1502 1510 1812 2062 2253 2265 3004 3020 3093 3624 3755 4124 4506 4530 5155 6008 6040 6186 7510 8248 9012 9060 10310 11265 12372 15020 15465 18024 18120 20620 22530 24744 30040 30930 41240 45060 61860 90120 113401 123720 155681 226802 311362 340203 453604 467043 567005 622724 680406 774281 778405 907208 934086 1134010 1245448 1360812 1548562 1556810 1701015 1868172 2268020 2322843 2335215 2721624 3097124 3113620 3402030 3736344 3871405 4536040 4645686 4670430 6194248 6227240 6804060 7742810 9291372 9340860 11614215 13608120 15485620 18582744 18681720 23228430 30971240 46456860 92913720 116916431 233832862 350749293 467665724 584582155 701498586 935331448 1169164310 1402997172 1753746465 2338328620 2805994344 3507492930 4676657240 7014985860 14029971720