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44346745040 = 2451342641101
BaseRepresentation
bin101001010011010001…
…011010000011010000
311020110121020001201112
4221103101122003100
51211310231320130
632212252352452
73126645053603
oct512321320320
9136417201645
1044346745040
1117897643a14
128717775728
13424978a750
1422099c233a
151248401495
hexa5345a0d0

44346745040 has 40 divisors (see below), whose sum is σ = 111037429608. Its totient is φ = 16374182400.

The previous prime is 44346745019. The next prime is 44346745043. The reversal of 44346745040 is 4054764344.

It can be written as a sum of positive squares in 4 ways, for example, as 7862416 + 44338882624 = 2804^2 + 210568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44346745043) 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, 21319511 + ... + 21321590.

Almost surely, 244346745040 is an apocalyptic number.

44346745040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44346745040 is an abundant number, since it is smaller than the sum of its proper divisors (66690684568).

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

44346745040 is a wasteful number, since it uses less digits than its factorization.

44346745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42641127 (or 42641121 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 41.

The spelling of 44346745040 in words is "forty-four billion, three hundred forty-six million, seven hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 42641101 85282202 170564404 213205505 341128808 426411010 554334313 682257616 852822020 1108668626 1705644040 2217337252 2771671565 3411288080 4434674504 5543343130 8869349008 11086686260 22173372520 44346745040