Search a number
-
+
440927207424 = 2143311313779
BaseRepresentation
bin1100110101010010100…
…11110100000000000000
31120011002222022220222000
412122221103310000000
524211004331114144
6534320440144000
743566405265314
oct6325123640000
91504088286860
10440927207424
1115aaa5a06070
1271555768000
133276b822142
14174ab96db44
15b7099d3769
hex66a94f4000

440927207424 has 960 divisors, whose sum is σ = 1530035404800. Its totient is φ = 124216934400.

The previous prime is 440927207341. The next prime is 440927207443. The reversal of 440927207424 is 424702729044.

It is a self number, because there is not a number n which added to its sum of digits gives 440927207424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5581357017 + ... + 5581357095.

It is an arithmetic number, because the mean of its divisors is an integer number (1593786880).

Almost surely, 2440927207424 is an apocalyptic number.

440927207424 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 440927207424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765017702400).

440927207424 is an abundant number, since it is smaller than the sum of its proper divisors (1089108197376).

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

440927207424 is a wasteful number, since it uses less digits than its factorization.

440927207424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

It can be divided in two parts, 44092720 and 7424, that added together give a palindrome (44100144).

The spelling of 440927207424 in words is "four hundred forty billion, nine hundred twenty-seven million, two hundred seven thousand, four hundred twenty-four".