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44145227520 = 283254781533
BaseRepresentation
bin101001000111010000…
…101011011100000000
311012221120000220122200
4221013100223130000
51210402134240040
632140253233200
73121650146142
oct510720533400
9135846026580
1044145227520
11177a3914909
128680192800
134216ac1804
1421cad26c92
151235897630
hexa4742b700

44145227520 has 216 divisors, whose sum is σ = 155989544256. Its totient is φ = 11521449984.

The previous prime is 44145227447. The next prime is 44145227521. The reversal of 44145227520 is 2572254144.

44145227520 is a `hidden beast` number, since 4 + 41 + 4 + 522 + 75 + 20 = 666.

It is a super-2 number, since 2×441452275202 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (44145227521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500674 + ... + 582206.

It is an arithmetic number, because the mean of its divisors is an integer number (722173816).

Almost surely, 244145227520 is an apocalyptic number.

44145227520 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 44145227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77994772128).

44145227520 is an abundant number, since it is smaller than the sum of its proper divisors (111844316736).

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

44145227520 is a wasteful number, since it uses less digits than its factorization.

44145227520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81607 (or 81590 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 44145227520 in words is "forty-four billion, one hundred forty-five million, two hundred twenty-seven thousand, five hundred twenty".