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42432300042 = 23111974337537
BaseRepresentation
bin100111100001001010…
…011000010000001010
311001112011212011220020
4213201022120100022
51143400132100132
631254303241310
73031340412366
oct474112302012
9131464764806
1042432300042
1116aa4a22070
1282825a9236
134002c6a062
1420a76382a6
1511852dd52c
hex9e129840a

42432300042 has 64 divisors (see below), whose sum is σ = 93276779904. Its totient is φ = 12761763840.

The previous prime is 42432299983. The next prime is 42432300047. The reversal of 42432300042 is 24000323424.

It is a junction number, because it is equal to n+sod(n) for n = 42432299985 and 42432300021.

It is not an unprimeable number, because it can be changed into a prime (42432300047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5626098 + ... + 5633634.

It is an arithmetic number, because the mean of its divisors is an integer number (1457449686).

Almost surely, 242432300042 is an apocalyptic number.

42432300042 is an abundant number, since it is smaller than the sum of its proper divisors (50844479862).

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

42432300042 is a wasteful number, since it uses less digits than its factorization.

42432300042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42432300042 its reverse (24000323424), we get a palindrome (66432623466).

The spelling of 42432300042 in words is "forty-two billion, four hundred thirty-two million, three hundred thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 197 394 433 591 866 1182 1299 2167 2598 4334 4763 6501 7537 9526 13002 14289 15074 22611 28578 45222 82907 85301 165814 170602 248721 255903 497442 511806 938311 1484789 1876622 2814933 2969578 3263521 4454367 5629866 6527042 8908734 9790563 16332679 19581126 32665358 35898731 48998037 71797462 97996074 107696193 215392386 642913637 1285827274 1928740911 3857481822 7072050007 14144100014 21216150021 42432300042