Search a number
-
+
44905544550944 = 2571171394765033
BaseRepresentation
bin10100011010111011000110…
…00010000000101000100000
312212222221001121110011111122
422031131203002000220200
521341213023401112234
6235301153344431412
712313214153533010
oct1215354302005040
9185887047404448
1044905544550944
1113343375239740
125052bb4018568
131c0976176106c
14b13623333c40
1552d169d7392e
hex28d763080a20

44905544550944 has 192 divisors, whose sum is σ = 111805170849792. Its totient is φ = 17244613478400.

The previous prime is 44905544550943. The next prime is 44905544550959.

44905544550944 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×449055445509442 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44905544550943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690471452 + ... + 690536484.

It is an arithmetic number, because the mean of its divisors is an integer number (582318598176).

Almost surely, 244905544550944 is an apocalyptic number.

44905544550944 is a gapful number since it is divisible by the number (44) 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 44905544550944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55902585424896).

44905544550944 is an abundant number, since it is smaller than the sum of its proper divisors (66899626298848).

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

44905544550944 is a wasteful number, since it uses less digits than its factorization.

44905544550944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69079 (or 69071 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 62.

The spelling of 44905544550944 in words is "forty-four trillion, nine hundred five billion, five hundred forty-four million, five hundred fifty thousand, nine hundred forty-four".