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44344199808 = 273238493229
BaseRepresentation
bin101001010011000111…
…101100101010000000
311020110102102202022200
4221103013230222000
51211304103343213
632212122033200
73126614323236
oct512307545200
9136412382280
1044344199808
1117896165717
128716948800
1342490a90ac
14220951c956
15124809c273
hexa531eca80

44344199808 has 48 divisors (see below), whose sum is σ = 127605057450. Its totient is φ = 14781399552.

The previous prime is 44344199791. The next prime is 44344199833. The reversal of 44344199808 is 80899144344.

44344199808 is a `hidden beast` number, since 4 + 434 + 41 + 99 + 80 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39422896704 + 4921303104 = 198552^2 + 70152^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×443441998082 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19245463 + ... + 19247766.

Almost surely, 244344199808 is an apocalyptic number.

44344199808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44344199808 is an abundant number, since it is smaller than the sum of its proper divisors (83260857642).

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

44344199808 is a wasteful number, since it uses less digits than its factorization.

44344199808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38493249 (or 38493234 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 44344199808 in words is "forty-four billion, three hundred forty-four million, one hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 38493229 76986458 115479687 153972916 230959374 307945832 346439061 461918748 615891664 692878122 923837496 1231783328 1385756244 1847674992 2463566656 2771512488 3695349984 4927133312 5543024976 7390699968 11086049952 14781399936 22172099904 44344199808