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444406341256103 = 67271180131358783
BaseRepresentation
bin110010100001011110110101…
…0000110110100001110100111
32011021111211110000122101102102
41211002331222012310032213
5431222123141330143403
64213101242120402315
7162415204264500362
oct14502755206641647
92137454400571372
10444406341256103
11119668741a98256
1241a14b1461639b
13160c8451c2c305
147ba554b4a70d9
15365a067294b88
hex1942f6a1b43a7

444406341256103 has 16 divisors (see below), whose sum is σ = 452729088516096. Its totient is φ = 436133476262880.

The previous prime is 444406341256081. The next prime is 444406341256109. The reversal of 444406341256103 is 301652143604444.

It is a cyclic number.

It is not a de Polignac number, because 444406341256103 - 218 = 444406340993959 is a prime.

It is a super-3 number, since 3×4444063412561033 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444406341256109) 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, 326382650 + ... + 327741432.

It is an arithmetic number, because the mean of its divisors is an integer number (28295568032256).

Almost surely, 2444406341256103 is an apocalyptic number.

444406341256103 is a deficient number, since it is larger than the sum of its proper divisors (8322747259993).

444406341256103 is a wasteful number, since it uses less digits than its factorization.

444406341256103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377134.

The product of its (nonzero) digits is 3317760, while the sum is 47.

The spelling of 444406341256103 in words is "four hundred forty-four trillion, four hundred six billion, three hundred forty-one million, two hundred fifty-six thousand, one hundred three".

Divisors: 1 67 271 18013 18157 1206871 1358783 4881523 91038461 327062041 368230193 24475758179 24671422931 1639875797993 6632930466509 444406341256103