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444024101344344 = 23372832540299907
BaseRepresentation
bin110010011110101100110101…
…0110101010001010001011000
32011020011021211001210222101120
41210331121222311101101120
5431144342324421004334
64212205504532445240
7162345453106034313
oct14475315265212130
92136137731728346
10444024101344344
11119530622585034
1241972a19179820
131609b3a6c01931
147b90c49d1d97a
153650144b64949
hex193d66ad51458

444024101344344 has 32 divisors (see below), whose sum is σ = 1110212671792320. Its totient is φ = 147987711323936.

The previous prime is 444024101344289. The next prime is 444024101344361. The reversal of 444024101344344 is 443443101420444.

It is a junction number, because it is equal to n+sod(n) for n = 444024101344296 and 444024101344305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269975162 + ... + 1270324745.

It is an arithmetic number, because the mean of its divisors is an integer number (34694145993510).

Almost surely, 2444024101344344 is an apocalyptic number.

It is an amenable number.

444024101344344 is an abundant number, since it is smaller than the sum of its proper divisors (666188570447976).

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

444024101344344 is a wasteful number, since it uses less digits than its factorization.

444024101344344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540307199 (or 2540307195 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 444024101344344 its reverse (443443101420444), we get a palindrome (887467202764788).

The spelling of 444024101344344 in words is "four hundred forty-four trillion, twenty-four billion, one hundred one million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 7283 14566 21849 29132 43698 58264 87396 174792 2540299907 5080599814 7620899721 10161199628 15241799442 20322399256 30483598884 60967197768 18501004222681 37002008445362 55503012668043 74004016890724 111006025336086 148008033781448 222012050672172 444024101344344