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44317044071344 = 24111660431516483
BaseRepresentation
bin10100001001110010111011…
…01010110101101110110000
312210220200000222222021102101
422010321131222311232300
521302042301240240334
6234130545145030144
712222541444146352
oct1204713552655660
9183820028867371
1044317044071344
1113136831043010
124b78b34485354
131b96105375bc5
14ad2d5642d0d2
1551cbc4866214
hex284e5dab5bb0

44317044071344 has 40 divisors (see below), whose sum is σ = 93670741778112. Its totient is φ = 20143976339520.

The previous prime is 44317044071329. The next prime is 44317044071347.

44317044071344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44317044071294 and 44317044071303.

It is not an unprimeable number, because it can be changed into a prime (44317044071347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28465327 + ... + 29981809.

Almost surely, 244317044071344 is an apocalyptic number.

44317044071344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44317044071344 is an abundant number, since it is smaller than the sum of its proper divisors (49353697706768).

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

44317044071344 is a wasteful number, since it uses less digits than its factorization.

44317044071344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682545 (or 1682539 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 46.

The spelling of 44317044071344 in words is "forty-four trillion, three hundred seventeen billion, forty-four million, seventy-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 166043 332086 664172 1328344 1516483 1826473 2656688 3032966 3652946 6065932 7305892 12131864 14611784 16681313 24263728 29223568 33362626 66725252 133450504 266901008 251801386769 503602773538 1007205547076 2014411094152 2769815254459 4028822188304 5539630508918 11079261017836 22158522035672 44317044071344