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44442265560 = 233571130715667
BaseRepresentation
bin101001011000111101…
…110010011111011000
311020201020222000020120
4221120331302133120
51212004204444220
632225543553240
73132215011230
oct513075623730
9136636860216
1044442265560
11179365559a0
12874375b820
1342634c3374
142218568cc0
1512519bda40
hexa58f727d8

44442265560 has 256 divisors, whose sum is σ = 166777712640. Its totient is φ = 9204088320.

The previous prime is 44442265559. The next prime is 44442265579. The reversal of 44442265560 is 6556224444.

It is a super-3 number, since 3×444422655603 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2828847 + ... + 2844513.

It is an arithmetic number, because the mean of its divisors is an integer number (651475440).

Almost surely, 244442265560 is an apocalyptic number.

44442265560 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 44442265560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83388856320).

44442265560 is an abundant number, since it is smaller than the sum of its proper divisors (122335447080).

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

44442265560 is a wasteful number, since it uses less digits than its factorization.

44442265560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16006 (or 16002 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 44442265560 in words is "forty-four billion, four hundred forty-two million, two hundred sixty-five thousand, five hundred sixty".