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441257787068112 = 243273743658141809
BaseRepresentation
bin110010001010100100101010…
…1101001110000111011010000
32010212100211110212110110022200
41210111021111221300323100
5430314031421442134422
64202251010125203200
7161641552212460350
oct14425112551607320
92125324425413280
10441257787068112
11118664416262393
12415a6870100500
1315c2a57a54b831
147ad6dc2c58b60
1536031dad652ac
hex1915255a70ed0

441257787068112 has 480 divisors, whose sum is σ = 1483437835925760. Its totient is φ = 119792482467840.

The previous prime is 441257787068017. The next prime is 441257787068113. The reversal of 441257787068112 is 211860787752144.

It is a happy number.

441257787068112 is a `hidden beast` number, since 4 + 41 + 2 + 577 + 8 + 7 + 0 + 6 + 8 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 441257787068112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441257787068113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10554113064 + ... + 10554154872.

It is an arithmetic number, because the mean of its divisors is an integer number (3090495491512).

Almost surely, 2441257787068112 is an apocalyptic number.

441257787068112 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 441257787068112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741718917962880).

441257787068112 is an abundant number, since it is smaller than the sum of its proper divisors (1042180048857648).

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

441257787068112 is a wasteful number, since it uses less digits than its factorization.

441257787068112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48491 (or 48482 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 441257787068112 in words is "four hundred forty-one trillion, two hundred fifty-seven billion, seven hundred eighty-seven million, sixty-eight thousand, one hundred twelve".