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445744431135003 = 371121313493913091
BaseRepresentation
bin110010101011001101111011…
…0011110100111100100011011
32011110020202021210211011121010
41211112123312132213210123
5431411034043332310003
64220004055330345003
7162613654352010510
oct14526336636474433
92143222253734533
10445744431135003
1111a03417392a200
1241bb031012b163
131619469a440720
147c1020767d307
15367ec80145003
hex19566f67a791b

445744431135003 has 48 divisors (see below), whose sum is σ = 804021317673728. Its totient is φ = 213743583345600.

The previous prime is 445744431134987. The next prime is 445744431135049. The reversal of 445744431135003 is 300531134447544.

It is a happy number.

It is not a de Polignac number, because 445744431135003 - 24 = 445744431134987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (445744431135503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6746923513 + ... + 6746989578.

Almost surely, 2445744431135003 is an apocalyptic number.

445744431135003 is a deficient number, since it is larger than the sum of its proper divisors (358276886538725).

445744431135003 is a wasteful number, since it uses less digits than its factorization.

445744431135003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13493913136 (or 13493913125 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 445744431135003 in words is "four hundred forty-five trillion, seven hundred forty-four billion, four hundred thirty-one million, one hundred thirty-five thousand, three".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 4719 11011 33033 13493913091 40481739273 94457391637 148433044001 175420870183 283372174911 445299132003 526262610549 1039031308007 1227946091281 1632763484011 1929629572013 3117093924021 3683838273843 4898290452033 5788888716039 11429344388077 13507407004091 21225925292143 34288033164231 40522221012273 63677775876429 148581477045001 445744431135003