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44325066240 = 2938571329
BaseRepresentation
bin101001010001111110…
…101101011000000000
311020102002102200000000
4221101332231120000
51211234204104430
632210200000000
73126262563240
oct512176553000
9136362380000
1044325066240
1117886387354
128710460000
13424513a160
142206b7bb20
15124656ce60
hexa51fad600

44325066240 has 1440 divisors, whose sum is σ = 202957634880. Its totient is φ = 9029615616.

The previous prime is 44325066217. The next prime is 44325066241. The reversal of 44325066240 is 4266052344.

44325066240 is a `hidden beast` number, since 4 + 4 + 3 + 25 + 0 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×443250662402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44325066195 and 44325066204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44325066241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1528450546 + ... + 1528450574.

It is an arithmetic number, because the mean of its divisors is an integer number (140942802).

Almost surely, 244325066240 is an apocalyptic number.

44325066240 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 44325066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101478817440).

44325066240 is an abundant number, since it is smaller than the sum of its proper divisors (158632568640).

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

44325066240 is an frugal number, since it uses more digits than its factorization.

44325066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 44325066240 in words is "forty-four billion, three hundred twenty-five million, sixty-six thousand, two hundred forty".