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44993370240 = 2733571323171
BaseRepresentation
bin101001111001110100…
…000101100010000000
311022010122222000202000
4221321310011202000
51214121300321430
632400352024000
73151656223350
oct517164054200
9138118860660
1044993370240
1118099648005
128878232000
13432072c600
14226b824b60
15128507de60
hexa79d05880

44993370240 has 1536 divisors, whose sum is σ = 206431027200. Its totient is φ = 9057484800.

The previous prime is 44993370239. The next prime is 44993370259. The reversal of 44993370240 is 4207339944.

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 191 ways as a sum of consecutive naturals, for example, 633709405 + ... + 633709475.

It is an arithmetic number, because the mean of its divisors is an integer number (134395200).

Almost surely, 244993370240 is an apocalyptic number.

44993370240 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 44993370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103215513600).

44993370240 is an abundant number, since it is smaller than the sum of its proper divisors (161437656960).

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

44993370240 is a wasteful number, since it uses less digits than its factorization.

44993370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 44993370240 in words is "forty-four billion, nine hundred ninety-three million, three hundred seventy thousand, two hundred forty".