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14213232320 = 265749112923
BaseRepresentation
bin11010011110010110…
…01011011011000000
31100200112201000022212
431033023023123000
5213102041413240
610310210521252
71012134324050
oct151713133300
940615630285
1014213232320
116033aa98a1
122907b96228
13145684a051
1498b941560
15582c03165
hex34f2cb6c0

14213232320 has 112 divisors (see below), whose sum is σ = 38762074368. Its totient is φ = 4862807040.

The previous prime is 14213232317. The next prime is 14213232331. The reversal of 14213232320 is 2323231241.

14213232320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093379 + ... + 1106301.

Almost surely, 214213232320 is an apocalyptic number.

14213232320 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 14213232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19381037184).

14213232320 is an abundant number, since it is smaller than the sum of its proper divisors (24548842048).

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

14213232320 is a wasteful number, since it uses less digits than its factorization.

14213232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13438 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 14213232320 its reverse (2323231241), we get a palindrome (16536463561).

The spelling of 14213232320 in words is "fourteen billion, two hundred thirteen million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 491 560 982 1120 1964 2240 2455 3437 3928 4910 6874 7856 9820 12923 13748 15712 17185 19640 25846 27496 31424 34370 39280 51692 54992 64615 68740 78560 90461 103384 109984 129230 137480 157120 180922 206768 219968 258460 274960 361844 413536 452305 516920 549920 723688 827072 904610 1033840 1099840 1447376 1809220 2067680 2894752 3618440 4135360 5789504 6345193 7236880 12690386 14473760 25380772 28947520 31725965 44416351 50761544 63451930 88832702 101523088 126903860 177665404 203046176 222081755 253807720 355330808 406092352 444163510 507615440 710661616 888327020 1015230880 1421323232 1776654040 2030461760 2842646464 3553308080 7106616160 14213232320