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44140022004144 = 2431183598526523
BaseRepresentation
bin10100000100101001001100…
…10101001111100110110000
312210021202010000201112000010
422002110212111033212300
521241142231113113034
6233513351323454520
712204003615333153
oct1202244625174660
9183252100645003
1044140022004144
1113078750769920
124b4a770087440
131b8250368a891
14ac8561d33c9a
155182b37e33e9
hex28252654f9b0

44140022004144 has 40 divisors (see below), whose sum is σ = 124394607467712. Its totient is φ = 13375764243520.

The previous prime is 44140022004137. The next prime is 44140022004233.

44140022004144 is nontrivially palindromic in base 10.

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, 41799262734 + ... + 41799263789.

Almost surely, 244140022004144 is an apocalyptic number.

44140022004144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44140022004144 is an abundant number, since it is smaller than the sum of its proper divisors (80254585463568).

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

44140022004144 is a wasteful number, since it uses less digits than its factorization.

44140022004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83598526545 (or 83598526539 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4414002 and 2004144, that added together give a palindrome (6418146).

The spelling of 44140022004144 in words is "forty-four trillion, one hundred forty billion, twenty-two million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 83598526523 167197053046 250795579569 334394106092 501591159138 668788212184 919583791753 1003182318276 1337576424368 1839167583506 2006364636552 2758751375259 3678335167012 4012729273104 5517502750518 7356670334024 11035005501036 14713340668048 22070011002072 44140022004144