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244400446353425 = 5241463751421061
BaseRepresentation
bin110111100100011111101001…
…110010011011000000010001
31012001100110021022201020121012
4313210133221302123000101
5224013224103231302200
62223444003130540305
7102323230616256425
oct6744375162330021
91161313238636535
10244400446353425
117096771350730a
12234b253ab97695
13a64ab2b5b134b
14444d08a9d0b85
151d3c63a92ca35
hexde47e9c9b011

244400446353425 has 24 divisors (see below), whose sum is σ = 310515132993912. Its totient is φ = 190710427328000.

The previous prime is 244400446353421. The next prime is 244400446353461. The reversal of 244400446353425 is 524353644004442.

It is a happy number.

244400446353425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 209637618561424 + 34762827792001 = 14478868^2 + 5896001^2 .

It is not a de Polignac number, because 244400446353425 - 22 = 244400446353421 is a prime.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (244400446353421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20957606 + ... + 30463455.

It is an arithmetic number, because the mean of its divisors is an integer number (12938130541413).

Almost surely, 2244400446353425 is an apocalyptic number.

244400446353425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

244400446353425 is a deficient number, since it is larger than the sum of its proper divisors (66114686640487).

244400446353425 is a wasteful number, since it uses less digits than its factorization.

244400446353425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51425749 (or 51425744 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 50.

The spelling of 244400446353425 in words is "two hundred forty-four trillion, four hundred billion, four hundred forty-six million, three hundred fifty-three thousand, four hundred twenty-five".

Divisors: 1 5 25 41 205 1025 4637 23185 115925 190117 950585 4752925 51421061 257105305 1285526525 2108263501 10541317505 52706587525 238439459857 1192197299285 5960986496425 9776017854137 48880089270685 244400446353425