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510432040334142 = 2345987476105367
BaseRepresentation
bin111010000001111000011100…
…0011100100011001100111110
32110221021211022111220212220000
41310003300320130203030332
51013400404304311143032
65005333124150335130
7212341332536633133
oct16403607034431476
92427254274825800
10510432040334142
11138704015918483
12492b919565a4a6
1318ba76c514c634
149009084b5058a
153e02797041e7c
hex1d03c3872333e

510432040334142 has 80 divisors (see below), whose sum is σ = 1163264556769920. Its totient is φ = 167241067204752.

The previous prime is 510432040334077. The next prime is 510432040334149. The reversal of 510432040334142 is 241433040234015.

510432040334142 is a `hidden beast` number, since 5 + 1 + 0 + 4 + 3 + 204 + 0 + 33 + 414 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 510432040334097 and 510432040334106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510432040334149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80551143 + ... + 86656509.

It is an arithmetic number, because the mean of its divisors is an integer number (14540806959624).

Almost surely, 2510432040334142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510432040334142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581632278384960).

510432040334142 is an abundant number, since it is smaller than the sum of its proper divisors (652832516435778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

510432040334142 is a wasteful number, since it uses less digits than its factorization.

510432040334142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114187 (or 6114178 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 510432040334142 its reverse (241433040234015), we get a palindrome (751865080568157).

The spelling of 510432040334142 in words is "five hundred ten trillion, four hundred thirty-two billion, forty million, three hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 1062 1593 3186 4779 8747 9558 17494 26241 52482 78723 157446 236169 472338 516073 708507 1032146 1417014 1548219 3096438 4644657 6105367 9289314 12210734 13933971 18316101 27867942 36632202 41801913 54948303 83603826 109896606 164844909 329689818 360216653 494534727 720433306 989069454 1080649959 2161299918 3241949877 6483899754 9725849631 19451699262 29177548893 53403645149 58355097786 106807290298 160210935447 320421870894 480632806341 961265612682 1441898419023 2883796838046 3150815063791 4325695257069 6301630127582 8651390514138 9452445191373 18904890382746 28357335574119 56714671148238 85072006722357 170144013444714 255216020167071 510432040334142