Search a number
-
+
44412040320 = 273517280039
BaseRepresentation
bin101001010111001010…
…011111010010000000
311020122011002102000020
4221113022133102000
51211423440242240
632222544053440
73131400054054
oct512712372200
9136564072006
1044412040320
111792049125a
128735604280
13425a16c9cb
14221453bc64
15124deed0d0
hexa5729f480

44412040320 has 192 divisors, whose sum is σ = 150382353600. Its totient is φ = 11146412032.

The previous prime is 44412040319. The next prime is 44412040327. The reversal of 44412040320 is 2304021444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (44412040327) 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, 514861 + ... + 594899.

It is an arithmetic number, because the mean of its divisors is an integer number (783241425).

Almost surely, 244412040320 is an apocalyptic number.

44412040320 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 44412040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75191176800).

44412040320 is an abundant number, since it is smaller than the sum of its proper divisors (105970313280).

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

44412040320 is a wasteful number, since it uses less digits than its factorization.

44412040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80095 (or 80066 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44412040320 its reverse (2304021444), we get a palindrome (46716061764).

The spelling of 44412040320 in words is "forty-four billion, four hundred twelve million, forty thousand, three hundred twenty".