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444720244865461 = 41293127277290861
BaseRepresentation
bin110010100011110001000000…
…0001110000011100110110101
32011022121211200111122221122021
41211013202000032003212311
5431242244030141143321
64213501354324233141
7162446656150241215
oct14507420016034665
92138554614587567
10444720244865461
11119779884436aa4
1241a6591a23b7b1
131611bc293bb0b6
147bb6808d90245
1536632da396941
hex19478803839b5

444720244865461 has 16 divisors (see below), whose sum is σ = 457127079737328. Its totient is φ = 432387729164800.

The previous prime is 444720244865447. The next prime is 444720244865471. The reversal of 444720244865461 is 164568442027444.

It can be written as a sum of positive squares in 8 ways, for example, as 9731866724836 + 434988378140625 = 3119594^2 + 20856375^2 .

It is a cyclic number.

It is not a de Polignac number, because 444720244865461 - 27 = 444720244865333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444720244865461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444720244865471) 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, 1528833171 + ... + 1529124031.

It is an arithmetic number, because the mean of its divisors is an integer number (28570442483583).

Almost surely, 2444720244865461 is an apocalyptic number.

444720244865461 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

444720244865461 is a deficient number, since it is larger than the sum of its proper divisors (12406834871867).

444720244865461 is a wasteful number, since it uses less digits than its factorization.

444720244865461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418472.

The product of its (nonzero) digits is 165150720, while the sum is 61.

The spelling of 444720244865461 in words is "four hundred forty-four trillion, seven hundred twenty billion, two hundred forty-four million, eight hundred sixty-five thousand, four hundred sixty-one".

Divisors: 1 41 293 12013 127277 290861 5218357 11925301 37292161 85222273 1528978601 3494113193 37019915497 1517816535377 10846835240621 444720244865461