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14231965200 = 2435219624209
BaseRepresentation
bin11010100000100101…
…01000111000010000
31100201211221202000020
431100102220320100
5213121340341300
610312120223440
71012452464625
oct152022507020
940654852006
1014231965200
116043634112
12291230ab80
13145a6a87ab
1499021a34c
155846a38a0
hex3504a8e10

14231965200 has 120 divisors (see below), whose sum is σ = 47989264800. Its totient is φ = 3595438080.

The previous prime is 14231965183. The next prime is 14231965207. The reversal of 14231965200 is 256913241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×142319652002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14231965207) 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, 289305 + ... + 334904.

It is an arithmetic number, because the mean of its divisors is an integer number (399910540).

Almost surely, 214231965200 is an apocalyptic number.

14231965200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14231965200 is an abundant number, since it is smaller than the sum of its proper divisors (33757299600).

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

14231965200 is a wasteful number, since it uses less digits than its factorization.

14231965200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624249 (or 624238 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 14231965200 in words is "fourteen billion, two hundred thirty-one million, nine hundred sixty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 624209 1248418 1872627 2496836 3121045 3745254 4993672 6242090 7490508 9363135 9987344 11859971 12484180 14981016 15605225 18726270 23719942 24968360 29962032 31210450 35579913 37452540 46815675 47439884 49936720 59299855 62420900 71159826 74905080 93631350 94879768 118599710 124841800 142319652 149810160 177899565 187262700 189759536 237199420 249683600 284639304 296499275 355799130 374525400 474398840 569278608 592998550 711598260 749050800 889497825 948797680 1185997100 1423196520 1778995650 2371994200 2846393040 3557991300 4743988400 7115982600 14231965200