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444101314243992 = 23324063176898743
BaseRepresentation
bin110010011111010000110010…
…1000101000110110110011000
32011020102200010011111200110120
41210332201211011012312120
5431202123442421301432
64212305154405113240
7162354155365615026
oct14476414505066630
92136380104450416
10444101314243992
11119560345214399
12419859876b8820
13160a57607a4b32
147b94892871716
1536521635e5c2c
hex193e865146d98

444101314243992 has 32 divisors (see below), whose sum is σ = 1110257913972480. Its totient is φ = 148033154299680.

The previous prime is 444101314243973. The next prime is 444101314244039. The reversal of 444101314243992 is 299342413101444.

It is a congruent number.

It is an unprimeable number.

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, 32674228 + ... + 44224515.

It is an arithmetic number, because the mean of its divisors is an integer number (34695559811640).

Almost surely, 2444101314243992 is an apocalyptic number.

It is an amenable number.

444101314243992 is an abundant number, since it is smaller than the sum of its proper divisors (666156599728488).

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

444101314243992 is a wasteful number, since it uses less digits than its factorization.

444101314243992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77139383 (or 77139379 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 444101314243992 in words is "four hundred forty-four trillion, one hundred one billion, three hundred fourteen million, two hundred forty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 240631 481262 721893 962524 1443786 1925048 2887572 5775144 76898743 153797486 230696229 307594972 461392458 615189944 922784916 1845569832 18504221426833 37008442853666 55512664280499 74016885707332 111025328560998 148033771414664 222050657121996 444101314243992