Search a number
-
+
14021115200 = 265247186451
BaseRepresentation
bin11010000111011100…
…10011110101000000
31100012011012110011222
431003232103311000
5212203401141300
610235145054212
71004312340611
oct150356236500
940164173158
1014021115200
115a45610414
122873787368
131425ac2a91
14970211c08
15570e04785
hex343b93d40

14021115200 has 84 divisors (see below), whose sum is σ = 35234953152. Its totient is φ = 5489088000.

The previous prime is 14021115187. The next prime is 14021115203. The reversal of 14021115200 is 251112041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021115203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18026 + ... + 168425.

It is an arithmetic number, because the mean of its divisors is an integer number (419463728).

Almost surely, 214021115200 is an apocalyptic number.

14021115200 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 14021115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617476576).

14021115200 is an abundant number, since it is smaller than the sum of its proper divisors (21213837952).

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

14021115200 is a wasteful number, since it uses less digits than its factorization.

14021115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186520 (or 186505 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 14021115200 its reverse (251112041), we get a palindrome (14272227241).

The spelling of 14021115200 in words is "fourteen billion, twenty-one million, one hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 160 188 200 235 320 376 400 470 752 800 940 1175 1504 1600 1880 2350 3008 3760 4700 7520 9400 15040 18800 37600 75200 186451 372902 745804 932255 1491608 1864510 2983216 3729020 4661275 5966432 7458040 8763197 9322550 11932864 14916080 17526394 18645100 29832160 35052788 37290200 43815985 59664320 70105576 74580400 87631970 140211152 149160800 175263940 219079925 280422304 298321600 350527880 438159850 560844608 701055760 876319700 1402111520 1752639400 2804223040 3505278800 7010557600 14021115200