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14427445888 = 272313735771
BaseRepresentation
bin11010110111111000…
…10101101010000000
31101020110210012002201
431123330111222000
5214021411232023
610343342122544
71020345160312
oct153374255200
941213705081
1014427445888
116133a0a6a9
122967880454
13148c03ca3b
149ac1837b2
15596918bad
hex35bf15a80

14427445888 has 64 divisors (see below), whose sum is σ = 30211600320. Its totient is φ = 6849525760.

The previous prime is 14427445859. The next prime is 14427445891. The reversal of 14427445888 is 88854472441.

14427445888 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 (64).

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 7 ways as a sum of consecutive naturals, for example, 385443 + ... + 421213.

It is an arithmetic number, because the mean of its divisors is an integer number (472056255).

Almost surely, 214427445888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14427445888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15105800160).

14427445888 is an abundant number, since it is smaller than the sum of its proper divisors (15784154432).

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

14427445888 is a wasteful number, since it uses less digits than its factorization.

14427445888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35945 (or 35933 counting only the distinct ones).

The product of its digits is 9175040, while the sum is 55.

The spelling of 14427445888 in words is "fourteen billion, four hundred twenty-seven million, four hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 137 184 274 368 548 736 1096 1472 2192 2944 3151 4384 6302 8768 12604 17536 25208 35771 50416 71542 100832 143084 201664 286168 403328 572336 822733 1144672 1645466 2289344 3290932 4578688 4900627 6581864 9801254 13163728 19602508 26327456 39205016 52654912 78410032 105309824 112714421 156820064 225428842 313640128 450857684 627280256 901715368 1803430736 3606861472 7213722944 14427445888