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44996394240 = 283457217521
BaseRepresentation
bin101001111001111111…
…100111110100000000
311022010212122122220000
4221321333213310000
51214123034103430
632400540520000
73152024016600
oct517177476400
9138125578800
1044996394240
11180a0322a86
128879250000
13432124ab65
14226bdb0c00
151285479e60
hexa79fe7d00

44996394240 has 1080 divisors, whose sum is σ = 198689713992. Its totient is φ = 9661317120.

The previous prime is 44996394199. The next prime is 44996394307. The reversal of 44996394240 is 4249369944.

It is a happy number.

44996394240 is a `hidden beast` number, since 4 + 4 + 9 + 9 + 6 + 394 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5563966464 + 39432427776 = 74592^2 + 198576^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86365180 + ... + 86365700.

Almost surely, 244996394240 is an apocalyptic number.

44996394240 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 44996394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99344856996).

44996394240 is an abundant number, since it is smaller than the sum of its proper divisors (153693319752).

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

44996394240 is a wasteful number, since it uses less digits than its factorization.

44996394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 44996394240 in words is "forty-four billion, nine hundred ninety-six million, three hundred ninety-four thousand, two hundred forty".