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445314424002345 = 32517582110358173
BaseRepresentation
bin110010101000000101101100…
…0000011100101011100101001
32011101201122100212112112001200
41211100023120003211130221
5431332012420021033340
64215034342221234413
7162540622362462642
oct14520133003453451
92141648325475050
10445314424002345
11119988872031a17
1241b40b03702a09
1316162c7c1108b1
147bd74941366c9
1536739b41b4330
hex19502d80e5729

445314424002345 has 24 divisors (see below), whose sum is σ = 817282942876296. Its totient is φ = 223530377538048.

The previous prime is 445314424002337. The next prime is 445314424002367. The reversal of 445314424002345 is 543200424413544.

445314424002345 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 1 + 4 + 4 + 2 + 400 + 234 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45716043140496 + 399598380861849 = 6761364^2 + 19989957^2 .

It is not a de Polignac number, because 445314424002345 - 23 = 445314424002337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 445314424002345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291055178322 + ... + 291055179851.

It is an arithmetic number, because the mean of its divisors is an integer number (34053455953179).

Almost surely, 2445314424002345 is an apocalyptic number.

445314424002345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

445314424002345 is a deficient number, since it is larger than the sum of its proper divisors (371968518873951).

445314424002345 is a wasteful number, since it uses less digits than its factorization.

445314424002345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582110358201 (or 582110358198 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 445314424002345 its reverse (543200424413544), we get a palindrome (988514848415889).

The spelling of 445314424002345 in words is "four hundred forty-five trillion, three hundred fourteen billion, four hundred twenty-four million, two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 582110358173 1746331074519 2910551790865 5238993223557 8731655372595 9895876088941 26194966117785 29687628266823 49479380444705 89062884800469 148438141334115 445314424002345