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1441310518944 = 2536277223049
BaseRepresentation
bin10100111110010100110…
…011010010111010100000
312002210021102000121000000
4110332110303102322200
5142103300443101234
63022043502300000
7206063006161542
oct24762463227240
95083242017000
101441310518944
1150629023863a
121b3403b87600
13a5bb833821a
144da8cc75692
1527759c13899
hex14f94cd2ea0

1441310518944 has 168 divisors, whose sum is σ = 4269801986100. Its totient is φ = 478700264448.

The previous prime is 1441310518939. The next prime is 1441310519003. The reversal of 1441310518944 is 4498150131441.

1441310518944 is a `hidden beast` number, since 1 + 4 + 41 + 3 + 1 + 0 + 518 + 94 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1441008176400 + 302342544 = 1200420^2 + 17388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1441310518944.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6350332 + ... + 6573380.

Almost surely, 21441310518944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441310518944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134900993050).

1441310518944 is an abundant number, since it is smaller than the sum of its proper divisors (2828491467156).

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

1441310518944 is an equidigital number, since it uses as much as digits as its factorization.

1441310518944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223354 (or 223331 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1441310518944 in words is "one trillion, four hundred forty-one billion, three hundred ten million, five hundred eighteen thousand, nine hundred forty-four".