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444303442121 = 71129362354919
BaseRepresentation
bin1100111011100101000…
…11001000000011001001
31120110211021022102021112
412131302203020003021
524234413140121441
6540035444420105
744046152642210
oct6356243100311
91513737272245
10444303442121
1116147878a180
12721383a7635
1332b89146a56
141770c112077
15b8560e44eb
hex67728c80c9

444303442121 has 32 divisors (see below), whose sum is σ = 573206630400. Its totient is φ = 334173833280.

The previous prime is 444303442117. The next prime is 444303442133. The reversal of 444303442121 is 121244303444.

It is not a de Polignac number, because 444303442121 - 22 = 444303442117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444303442171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8062700 + ... + 8117618.

It is an arithmetic number, because the mean of its divisors is an integer number (17912707200).

Almost surely, 2444303442121 is an apocalyptic number.

It is an amenable number.

444303442121 is a deficient number, since it is larger than the sum of its proper divisors (128903188279).

444303442121 is a wasteful number, since it uses less digits than its factorization.

444303442121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58589.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 444303442121 its reverse (121244303444), we get a palindrome (565547745565).

The spelling of 444303442121 in words is "four hundred forty-four billion, three hundred three million, four hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 29 77 203 319 2233 3623 25361 39853 54919 105067 278971 384433 604109 735469 1155737 1592651 4228763 8090159 11148557 17519161 122634127 198971537 1392800759 2188686907 5770174573 15320808349 40391222011 63471920303 444303442121