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1044133200425 = 527217411222889
BaseRepresentation
bin11110011000110110011…
…00000100001000101001
310200211002102211022001202
433030123030010020221
5114101341044403200
62115400154053545
7135302410523600
oct17143314041051
93624072738052
101044133200425
113728a5a75657
1214a43a11a2b5
13775cc738c13
143877191ca37
151c2610351d5
hexf31b304229

1044133200425 has 72 divisors (see below), whose sum is σ = 1633600052280. Its totient is φ = 657424588800.

The previous prime is 1044133200421. The next prime is 1044133200437. The reversal of 1044133200425 is 5240023314401.

It can be written as a sum of positive squares in 12 ways, for example, as 765294285721 + 278838914704 = 874811^2 + 528052^2 .

It is not a de Polignac number, because 1044133200425 - 22 = 1044133200421 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1044133200421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 242381 + ... + 1465269.

It is an arithmetic number, because the mean of its divisors is an integer number (22688889615).

Almost surely, 21044133200425 is an apocalyptic number.

It is an amenable number.

1044133200425 is a deficient number, since it is larger than the sum of its proper divisors (589466851855).

1044133200425 is a wasteful number, since it uses less digits than its factorization.

1044133200425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222971 (or 1222959 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 1044133200425 its reverse (5240023314401), we get a palindrome (6284156514826).

The spelling of 1044133200425 in words is "one trillion, forty-four billion, one hundred thirty-three million, two hundred thousand, four hundred twenty-five".

Divisors: 1 5 7 17 25 35 41 49 85 119 175 205 245 287 425 595 697 833 1025 1225 1435 2009 2975 3485 4165 4879 7175 10045 17425 20825 24395 34153 50225 121975 170765 853825 1222889 6114445 8560223 20789113 30572225 42801115 50138449 59921561 103945565 145523791 214005575 250692245 299607805 350969143 519727825 727618955 852353633 1018666537 1253461225 1498039025 1754845715 2456784001 3638094775 4261768165 5093332685 5966475431 8774228575 12283920005 21308840825 25466663425 29832377155 41765328017 61419600025 149161885775 208826640085 1044133200425