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44121440025 = 325213173892281
BaseRepresentation
bin101001000101110101…
…111011111100011001
311012212220021101100100
4221011311323330121
51210330042040100
632134043330013
73121241023635
oct510565737431
9135786241310
1044121440025
1117791447a23
128674220909
134211bb3480
1421c7ad3dc5
151233749400
hexa45d7bf19

44121440025 has 144 divisors (see below), whose sum is σ = 90382808880. Its totient is φ = 20382105600.

The previous prime is 44121440023. The next prime is 44121440047. The reversal of 44121440025 is 52004412144.

44121440025 is a `hidden beast` number, since 4 + 41 + 214 + 400 + 2 + 5 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 33682526784 + 10438913241 = 183528^2 + 102171^2 .

It is not a de Polignac number, because 44121440025 - 21 = 44121440023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44121440023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19341885 + ... + 19344165.

It is an arithmetic number, because the mean of its divisors is an integer number (627658395).

Almost surely, 244121440025 is an apocalyptic number.

44121440025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44121440025 is an abundant number, since it is smaller than the sum of its proper divisors (46261368855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44121440025 is a wasteful number, since it uses less digits than its factorization.

44121440025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 44121440025 its reverse (52004412144), we get a palindrome (96125852169).

The spelling of 44121440025 in words is "forty-four billion, one hundred twenty-one million, four hundred forty thousand, twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 221 225 255 325 389 425 585 663 765 975 1105 1167 1275 1945 1989 2281 2925 3315 3501 3825 5057 5525 5835 6613 6843 9725 9945 11405 15171 16575 17505 19839 20529 25285 29175 29653 33065 34215 38777 45513 49725 57025 59517 75855 85969 87525 88959 99195 102645 116331 126425 148265 165325 171075 193885 227565 257907 266877 297585 348993 379275 429845 444795 495975 504101 513225 581655 741325 773721 887309 969425 1137825 1289535 1334385 1487925 1512303 1744965 2149225 2223975 2520505 2661927 2908275 3868605 4436545 4536909 6447675 6671925 7561515 7985781 8724825 11535017 12602525 13309635 15084253 19343025 22182725 22684545 34605051 37807575 39928905 45252759 57675085 66548175 75421265 103815153 113422725 135758277 173025255 196095289 199644525 226263795 288375425 377106325 519075765 588285867 678791385 865126275 980476445 1131318975 1764857601 2595378825 2941429335 3393956925 4902382225 8824288005 14707146675 44121440025