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44048953440 = 2534514922811
BaseRepresentation
bin101001000001100001…
…011011000001100000
311012200211212200110000
4221001201123001200
51210203013002230
632122533540000
73116400632532
oct510141330140
9135624780400
1044048953440
1117754538758
128653aa4600
1341ccb83bbb
1421bc225852
15122c1cbb60
hexa4185b060

44048953440 has 240 divisors, whose sum is σ = 156506288400. Its totient is φ = 11667041280.

The previous prime is 44048953439. The next prime is 44048953511. The reversal of 44048953440 is 4435984044.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1919635 + ... + 1942445.

It is an arithmetic number, because the mean of its divisors is an integer number (652109535).

Almost surely, 244048953440 is an apocalyptic number.

44048953440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44048953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78253144200).

44048953440 is an abundant number, since it is smaller than the sum of its proper divisors (112457334960).

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

44048953440 is a wasteful number, since it uses less digits than its factorization.

44048953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22987 (or 22970 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 44048953440 in words is "forty-four billion, forty-eight million, nine hundred fifty-three thousand, four hundred forty".