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44008042514463 = 3279109941603457
BaseRepresentation
bin10100000000110011010111…
…01111011100100000011111
312202211010110011000210000200
422000121223233130200133
521232011432340430323
6233333003213154543
712161322214226646
oct1200315357344037
9182733404023020
1044008042514463
1113027784791905
124b2907848ba53
131b72c2c6704a1
14ac20019cc35d
15514b3bcbe443
hex28066bbdc81f

44008042514463 has 48 divisors (see below), whose sum is σ = 65031530678400. Its totient is φ = 28671015260160.

The previous prime is 44008042514459. The next prime is 44008042514567. The reversal of 44008042514463 is 36441524080044.

It is a happy number.

44008042514463 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 80 + 425 + 144 + 6 + 3 = 666.

44008042514463 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44008042514463 - 22 = 44008042514459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44008042514363) 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 47 ways as a sum of consecutive naturals, for example, 72624831 + ... + 73228287.

It is an arithmetic number, because the mean of its divisors is an integer number (1354823555800).

Almost surely, 244008042514463 is an apocalyptic number.

44008042514463 is a deficient number, since it is larger than the sum of its proper divisors (21023488163937).

44008042514463 is a wasteful number, since it uses less digits than its factorization.

44008042514463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604592 (or 604589 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 44008042514463 in words is "forty-four trillion, eight billion, forty-two million, five hundred fourteen thousand, four hundred sixty-three".

Divisors: 1 3 9 79 109 237 327 711 941 981 2823 8469 8611 25833 74339 77499 102569 223017 307707 603457 669051 923121 1810371 5431113 8102951 24308853 47673103 65776813 72926559 143019309 197330439 429057927 567853037 591991317 1703559111 5110677333 5196368227 15589104681 44860389923 46767314043 61895981033 134581169769 185687943099 403743509307 557063829297 4889782501607 14669347504821 44008042514463