Search a number
-
+
444931405479792 = 243371125328018191
BaseRepresentation
bin110010100101010011010101…
…0010111110111111101110000
32011100101000201122121120211000
41211022212222113313331300
5431304224004300323132
64214142355501122000
7162501143000656350
oct14512465227677560
92140330648546730
10444931405479792
11119850393067a00
1241a9a82b559300
1316135b0b9abb7a
147bc2b1b3d0b60
153668a4853487c
hex194a9aa5f7f70

444931405479792 has 960 divisors, whose sum is σ = 1635366689832960. Its totient is φ = 113331778560000.

The previous prime is 444931405479791. The next prime is 444931405479839. The reversal of 444931405479792 is 297974504139444.

444931405479792 is a `hidden beast` number, since 4 + 4 + 4 + 9 + 3 + 1 + 4 + 0 + 547 + 9 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 444931405479792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444931405479791) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54319542417 + ... + 54319550607.

It is an arithmetic number, because the mean of its divisors is an integer number (1703506968576).

Almost surely, 2444931405479792 is an apocalyptic number.

444931405479792 is a gapful number since it is divisible by the number (42) 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 444931405479792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817683344916480).

444931405479792 is an abundant number, since it is smaller than the sum of its proper divisors (1190435284353168).

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

444931405479792 is a wasteful number, since it uses less digits than its factorization.

444931405479792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11091 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 444931405479792 in words is "four hundred forty-four trillion, nine hundred thirty-one billion, four hundred five million, four hundred seventy-nine thousand, seven hundred ninety-two".