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444030034013241 = 31313701438309633
BaseRepresentation
bin110010011110101111100110…
…0011100100110110000111001
32011020011212010112011210011020
41210331133030130212300321
5431144442002201410431
64212212325342253053
7162346053114633144
oct14475371434466071
92136155115153136
10444030034013241
111195330973a7a85
1241973bb3b87189
131609bb110548c0
147b9124dc0305b
1536503908ec696
hex193d7cc726c39

444030034013241 has 16 divisors (see below), whose sum is σ = 637582129368576. Its totient is φ = 273249019385856.

The previous prime is 444030034013221. The next prime is 444030034013281. The reversal of 444030034013241 is 142310430030444.

It is a de Polignac number, because none of the positive numbers 2k-444030034013241 is a prime.

It is a super-2 number, since 2×4440300340132412 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444030034013221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49280761 + ... + 57590393.

It is an arithmetic number, because the mean of its divisors is an integer number (39848883085536).

Almost surely, 2444030034013241 is an apocalyptic number.

It is an amenable number.

444030034013241 is a deficient number, since it is larger than the sum of its proper divisors (193552095355335).

444030034013241 is a wasteful number, since it uses less digits than its factorization.

444030034013241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9679792.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 444030034013241 its reverse (142310430030444), we get a palindrome (586340464043685).

The spelling of 444030034013241 in words is "four hundred forty-four trillion, thirty billion, thirty-four million, thirteen thousand, two hundred forty-one".

Divisors: 1 3 13 39 1370143 4110429 8309633 17811859 24928899 53435577 108025229 324075687 11385385487519 34156156462557 148010011337747 444030034013241