Search a number
-
+
444022442016 = 2534625233771
BaseRepresentation
bin1100111011000011100…
…11001100100000100000
31120110002200120010121020
412131201303030200200
524233324221121031
6535551525525440
744036201325006
oct6354163144040
91513080503536
10444022442016
1116134410268a
127207a273880
1332b42b6c0ba
14176c2a86a76
15b83b5da096
hex6761ccc820

444022442016 has 24 divisors (see below), whose sum is σ = 1165558910544. Its totient is φ = 148007480640.

The previous prime is 444022441999. The next prime is 444022442023. The reversal of 444022442016 is 610244220444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2312616790 + ... + 2312616981.

It is an arithmetic number, because the mean of its divisors is an integer number (48564954606).

Almost surely, 2444022442016 is an apocalyptic number.

It is an amenable number.

444022442016 is an abundant number, since it is smaller than the sum of its proper divisors (721536468528).

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

444022442016 is a wasteful number, since it uses less digits than its factorization.

444022442016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625233784 (or 4625233776 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 444022442016 in words is "four hundred forty-four billion, twenty-two million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4625233771 9250467542 13875701313 18500935084 27751402626 37001870168 55502805252 74003740336 111005610504 148007480672 222011221008 444022442016