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42431350032 = 24321571876829
BaseRepresentation
bin100111100001000110…
…110000010100010000
311001112010001220201200
4213201012300110100
51143344411200112
631254231031200
73031326344601
oct474106602420
9131463056650
1042431350032
1116aa4433335
12828220b500
1340029c6816
1420a746bda8
1511851a1cdc
hex9e11b0510

42431350032 has 60 divisors (see below), whose sum is σ = 119505273420. Its totient is φ = 14053688064.

The previous prime is 42431350019. The next prime is 42431350033. The reversal of 42431350032 is 23005313424.

It can be written as a sum of positive squares in 2 ways, for example, as 26999747856 + 15431602176 = 164316^2 + 124224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42431349978 and 42431350005.

It is not an unprimeable number, because it can be changed into a prime (42431350033) 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 11 ways as a sum of consecutive naturals, for example, 915807 + ... + 961022.

It is an arithmetic number, because the mean of its divisors is an integer number (1991754557).

Almost surely, 242431350032 is an apocalyptic number.

It is an amenable number.

42431350032 is an abundant number, since it is smaller than the sum of its proper divisors (77073923388).

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

42431350032 is a wasteful number, since it uses less digits than its factorization.

42431350032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877000 (or 1876991 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 42431350032 its reverse (23005313424), we get a palindrome (65436663456).

The spelling of 42431350032 in words is "forty-two billion, four hundred thirty-one million, three hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 22608 1876829 3753658 5630487 7507316 11260974 15014632 16891461 22521948 30029264 33782922 45043896 67565844 90087792 135131688 270263376 294662153 589324306 883986459 1178648612 1767972918 2357297224 2651959377 3535945836 4714594448 5303918754 7071891672 10607837508 14143783344 21215675016 42431350032