Search a number
-
+
44740190880 = 25325721159977
BaseRepresentation
bin101001101010101110…
…010010001010100000
311021111000120011221200
4221222232102022200
51213111442102010
632315305321200
73142463230200
oct515256221240
9137430504850
1044740190880
1117a79742670
128807496200
1342b0145a38
142245d5c400
15126cc1ccc0
hexa6ab922a0

44740190880 has 864 divisors, whose sum is σ = 197233807680. Its totient is φ = 9129738240.

The previous prime is 44740190851. The next prime is 44740190899. The reversal of 44740190880 is 8809104744.

44740190880 is a `hidden beast` number, since 447 + 40 + 1 + 90 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45792952 + ... + 45793928.

It is an arithmetic number, because the mean of its divisors is an integer number (228279870).

Almost surely, 244740190880 is an apocalyptic number.

44740190880 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 44740190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98616903840).

44740190880 is an abundant number, since it is smaller than the sum of its proper divisors (152493616800).

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

44740190880 is a wasteful number, since it uses less digits than its factorization.

44740190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

It can be divided in two parts, 44740190 and 880, that added together give a triangular number (44741070 = T9459).

The spelling of 44740190880 in words is "forty-four billion, seven hundred forty million, one hundred ninety thousand, eight hundred eighty".