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444212123324341 = 41179419409135311
BaseRepresentation
bin110010100000000100011000…
…1110100001100111110110101
32011020211021010122100012102111
41211000020301310030332311
5431210432412032334331
64212432122100211021
7162365160343351231
oct14500106164147665
92136737118305374
10444212123324341
111195a3338037549
12419a3351399a71
13160b303c7b39b8
147b99da52a55c1
153654e9b75adb1
hex1940231d0cfb5

444212123324341 has 32 divisors (see below), whose sum is σ = 458805934540800. Its totient is φ = 429810777264000.

The previous prime is 444212123324339. The next prime is 444212123324363. The reversal of 444212123324341 is 143423321212444.

It is a cyclic number.

It is not a de Polignac number, because 444212123324341 - 21 = 444212123324339 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444212123324294 and 444212123324303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444212123324441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12579975076 + ... + 12580010386.

It is an arithmetic number, because the mean of its divisors is an integer number (14337685454400).

Almost surely, 2444212123324341 is an apocalyptic number.

444212123324341 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

444212123324341 is a deficient number, since it is larger than the sum of its proper divisors (14593811216459).

444212123324341 is a wasteful number, since it uses less digits than its factorization.

444212123324341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40041.

The product of its digits is 442368, while the sum is 40.

Adding to 444212123324341 its reverse (143423321212444), we get a palindrome (587635444536785).

The spelling of 444212123324341 in words is "four hundred forty-four trillion, two hundred twelve billion, one hundred twenty-three million, three hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 41 179 419 4091 7339 17179 35311 75001 167731 732289 1447751 1714129 3075041 6320669 14795309 30023849 70279289 144457301 259147429 306829091 606607669 2648360311 5922749341 12579992731 25857856879 60527609119 108582772751 1060172132039 2481631973879 10834442032301 444212123324341