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444376246272405 = 35137216241482371
BaseRepresentation
bin110010100001010000110100…
…0010011100100000110010101
32011021101221202122121210220120
41211002201220103210012111
5431221130023021204110
64213035343532422153
7162413060432401206
oct14502415023440625
92137357678553816
10444376246272405
111196569a91795a7
1241a0b115917959
13160c5666c8ba55
147ba3cd45b55ad
1536593a5157870
hex19428684e4195

444376246272405 has 16 divisors (see below), whose sum is σ = 716191789616064. Its totient is φ = 235270732818560.

The previous prime is 444376246272373. The next prime is 444376246272407. The reversal of 444376246272405 is 504272642673444.

It is not a de Polignac number, because 444376246272405 - 25 = 444376246272373 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444376246272407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108120739131 + ... + 108120743240.

It is an arithmetic number, because the mean of its divisors is an integer number (44761986851004).

Almost surely, 2444376246272405 is an apocalyptic number.

It is an amenable number.

444376246272405 is a deficient number, since it is larger than the sum of its proper divisors (271815543343659).

444376246272405 is a wasteful number, since it uses less digits than its factorization.

444376246272405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216241482516.

The product of its (nonzero) digits is 216760320, while the sum is 60.

The spelling of 444376246272405 in words is "four hundred forty-four trillion, three hundred seventy-six billion, two hundred forty-six million, two hundred seventy-two thousand, four hundred five".

Divisors: 1 3 5 15 137 411 685 2055 216241482371 648724447113 1081207411855 3243622235565 29625083084827 88875249254481 148125415424135 444376246272405