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444023675160016 = 24725188715739189
BaseRepresentation
bin110010011110101100101000…
…1011011100000010111010000
32011020011020201100212120101211
41210331121101123200113100
5431144340441320110031
64212205354350105504
7162345436412365360
oct14475312133402720
92136136640776354
10444023675160016
11119530423a55486
124197291a4ab294
131609b339823063
147b90c094a09a0
15365011c52cbb1
hex193d6516e05d0

444023675160016 has 40 divisors (see below), whose sum is σ = 983199246498560. Its totient is φ = 190295093211264.

The previous prime is 444023675160011. The next prime is 444023675160017. The reversal of 444023675160016 is 610061576320444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444023675160011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20341750 + ... + 36080938.

It is an arithmetic number, because the mean of its divisors is an integer number (24579981162464).

Almost surely, 2444023675160016 is an apocalyptic number.

It is an amenable number.

444023675160016 is an abundant number, since it is smaller than the sum of its proper divisors (539175571338544).

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

444023675160016 is a wasteful number, since it uses less digits than its factorization.

444023675160016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15991091 (or 15991085 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 444023675160016 in words is "four hundred forty-four trillion, twenty-three billion, six hundred seventy-five million, one hundred sixty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 251887 503774 1007548 1763209 2015096 3526418 4030192 7052836 14105672 15739189 28211344 31478378 62956756 110174323 125913512 220348646 251827024 440697292 881394584 1762789168 3964497099643 7928994199286 15857988398572 27751479697501 31715976797144 55502959395002 63431953594288 111005918790004 222011837580008 444023675160016