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444240300321 = 32157541581137
BaseRepresentation
bin1100111011011101100…
…10010000100100100001
31120110122212111111000100
412131232302100210201
524234301004102241
6540025311213013
744044455151266
oct6355662204441
91513585444010
10444240300321
11161446082874
127211b217169
1332b79039a3c
141770399726d
15b8507c09b6
hex676ec90921

444240300321 has 24 divisors (see below), whose sum is σ = 646962338984. Its totient is φ = 293729379840.

The previous prime is 444240300319. The next prime is 444240300331. The reversal of 444240300321 is 123003042444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18730659600 + 425509640721 = 136860^2 + 652311^2 .

It is not a de Polignac number, because 444240300321 - 21 = 444240300319 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444240300331) 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, 473865 + ... + 1055001.

Almost surely, 2444240300321 is an apocalyptic number.

It is an amenable number.

444240300321 is a deficient number, since it is larger than the sum of its proper divisors (202722038663).

444240300321 is a wasteful number, since it uses less digits than its factorization.

444240300321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581841 (or 581838 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 444240300321 its reverse (123003042444), we get a palindrome (567243342765).

The spelling of 444240300321 in words is "four hundred forty-four billion, two hundred forty million, three hundred thousand, three hundred twenty-one".

Divisors: 1 3 9 157 471 541 1413 1623 4869 84937 254811 581137 764433 1743411 5230233 91238509 273715527 314395117 821146581 943185351 2829556053 49360033369 148080100107 444240300321