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44525424125 = 5372131921549
BaseRepresentation
bin101001011101111011…
…000000110111111101
311020221001102220100102
4221131323000313331
51212142002033000
632242114210445
73134244601100
oct513573006775
9136831386312
1044525424125
1117979494186
128767583a25
1342777bb310
142225614737
151258e483d5
hexa5dec0dfd

44525424125 has 144 divisors (see below), whose sum is σ = 73516388400. Its totient is φ = 26682566400.

The previous prime is 44525424101. The next prime is 44525424133. The reversal of 44525424125 is 52142452544.

It can be written as a sum of positive squares in 8 ways, for example, as 26587911364 + 17937512761 = 163058^2 + 133931^2 .

It is not a de Polignac number, because 44525424125 - 234 = 27345554941 is a prime.

It is a super-2 number, since 2×445254241252 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28743851 + ... + 28745399.

It is an arithmetic number, because the mean of its divisors is an integer number (510530475).

Almost surely, 244525424125 is an apocalyptic number.

It is an amenable number.

44525424125 is a deficient number, since it is larger than the sum of its proper divisors (28990964275).

44525424125 is a wasteful number, since it uses less digits than its factorization.

44525424125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1593 counting only the distinct ones).

The product of its digits is 256000, while the sum is 38.

Adding to 44525424125 its reverse (52142452544), we get a palindrome (96667876669).

The spelling of 44525424125 in words is "forty-four billion, five hundred twenty-five million, four hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 5 7 13 19 25 35 49 65 91 95 125 133 175 245 247 325 361 455 475 637 665 875 931 1225 1235 1549 1625 1729 1805 2275 2375 2527 3185 3325 4655 4693 6125 6175 7745 8645 9025 10843 11375 12103 12635 15925 16625 17689 20137 23275 23465 29431 30875 32851 38725 43225 45125 54215 60515 63175 75901 79625 88445 100685 116375 117325 140959 147155 164255 193625 206017 216125 229957 271075 302575 315875 379505 382603 442225 503425 559189 586625 704795 735775 821275 986713 1030085 1149785 1355375 1442119 1512875 1897525 1913015 2211125 2517125 2678221 2795945 3523975 3678875 3914323 4106375 4933565 5150425 5748925 7210595 7269457 9487625 9565075 13391105 13979725 17619875 18747547 19571615 24667825 25752125 27400261 28744625 36052975 36347285 47825375 50886199 66955525 69898625 93737735 97858075 123339125 137001305 180264875 181736425 254430995 334777625 356203393 468688675 489290375 685006525 908682125 1272154975 1781016965 2343443375 3425032625 6360774875 8905084825 44525424125