Search a number
-
+
44460195840 = 21433520101
BaseRepresentation
bin101001011010000010…
…001100000000000000
311020202111200221222000
4221122002030000000
51212023302231330
632231424144000
73132523300134
oct513202140000
9136674627860
1044460195840
1117945692205
128749768000
1342671306b8
14221aab53c4
151253361560
hexa5a08c000

44460195840 has 240 divisors, whose sum is σ = 158083736160. Its totient is φ = 11855462400.

The previous prime is 44460195799. The next prime is 44460195851. The reversal of 44460195840 is 4859106444.

44460195840 is a `hidden beast` number, since 4 + 4 + 4 + 60 + 1 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 15 ways as a sum of consecutive naturals, for example, 2201790 + ... + 2221890.

It is an arithmetic number, because the mean of its divisors is an integer number (658682234).

Almost surely, 244460195840 is an apocalyptic number.

44460195840 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 44460195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79041868080).

44460195840 is an abundant number, since it is smaller than the sum of its proper divisors (113623540320).

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

44460195840 is an equidigital number, since it uses as much as digits as its factorization.

44460195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20143 (or 20111 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 44460195840 in words is "forty-four billion, four hundred sixty million, one hundred ninety-five thousand, eight hundred forty".