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14221540256 = 2571113144059
BaseRepresentation
bin11010011111010101…
…10111101110100000
31100201010100002200012
431033222313232200
5213111203242011
610311104544052
71012265045330
oct151752675640
940633302605
1014221540256
116038763760
12290a922028
1314584986a1
1498caa50c0
155837e4a8b
hex34fab7ba0

14221540256 has 96 divisors (see below), whose sum is σ = 35174684160. Its totient is φ = 5498438400.

The previous prime is 14221540211. The next prime is 14221540327. The reversal of 14221540256 is 65204512241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300755 + ... + 344813.

It is an arithmetic number, because the mean of its divisors is an integer number (366402960).

Almost surely, 214221540256 is an apocalyptic number.

14221540256 is a gapful number since it is divisible by the number (16) 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 14221540256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587342080).

14221540256 is an abundant number, since it is smaller than the sum of its proper divisors (20953143904).

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

14221540256 is a wasteful number, since it uses less digits than its factorization.

14221540256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44218 (or 44210 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 14221540256 in words is "fourteen billion, two hundred twenty-one million, five hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 131 154 176 224 262 308 352 524 616 917 1048 1232 1441 1834 2096 2464 2882 3668 4192 5764 7336 10087 11528 14672 20174 23056 29344 40348 44059 46112 80696 88118 161392 176236 308413 322784 352472 484649 616826 704944 969298 1233652 1409888 1938596 2467304 3392543 3877192 4934608 5771729 6785086 7754384 9869216 11543458 13570172 15508768 23086916 27140344 40402103 46173832 54280688 63489019 80804206 92347664 108561376 126978038 161608412 184695328 253956076 323216824 444423133 507912152 646433648 888846266 1015824304 1292867296 1777692532 2031648608 3555385064 7110770128 14221540256