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432313400410045 = 57119733134973431
BaseRepresentation
bin110001001001011111100111…
…0101010011011111110111101
32002200200202110011222010010021
41202102333032222123332331
5423131010321001110140
64131242011233412141
7160026420034350160
oct14222771652337675
92080622404863107
10432313400410045
111158260a1165180
12405a129710a051
131572bc95377a7b
1478a811a1c1ad7
1534ea6e4c3ab4a
hex1892fcea9bfbd

432313400410045 has 64 divisors (see below), whose sum is σ = 655427856125952. Its totient is φ = 265909982976000.

The previous prime is 432313400410039. The next prime is 432313400410121. The reversal of 432313400410045 is 540014004313234.

It is not a de Polignac number, because 432313400410045 - 213 = 432313400401853 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5125521 + ... + 29847910.

It is an arithmetic number, because the mean of its divisors is an integer number (10241060251968).

Almost surely, 2432313400410045 is an apocalyptic number.

It is an amenable number.

432313400410045 is a deficient number, since it is larger than the sum of its proper divisors (223114455715907).

432313400410045 is a wasteful number, since it uses less digits than its factorization.

432313400410045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34973882.

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 432313400410045 its reverse (540014004313234), we get a palindrome (972327404723279).

The spelling of 432313400410045 in words is "four hundred thirty-two trillion, three hundred thirteen billion, four hundred million, four hundred ten thousand, forty-five".

Divisors: 1 5 7 11 35 55 77 97 331 385 485 679 1067 1655 2317 3395 3641 5335 7469 11585 18205 25487 32107 37345 127435 160535 224749 353177 1123745 1765885 2472239 12361195 34973431 174867155 244814017 384707741 1224070085 1923538705 2692954187 3392422807 11576205661 13464770935 16962114035 23746959649 37316650877 57881028305 81033439627 118734798245 127338262271 186583254385 261216556139 405167198135 636691311355 891367835897 1122891949117 1306082780695 4456839179485 5614459745585 7860243643819 12351811440287 39301218219095 61759057201435 86462680082009 432313400410045