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432331061441 = 3831751964433
BaseRepresentation
bin1100100101010001111…
…00000111100011000001
31112022220220011110111212
412102220330013203001
524040403222431231
6530335443015505
743143365250236
oct6225074074301
91468826143455
10432331061441
11157394682394
126b95696a595
13319cb932726
1416cd404378d
15b3a4ecc42b
hex64a8f078c1

432331061441 has 8 divisors (see below), whose sum is σ = 433491333120. Its totient is φ = 431170954432.

The previous prime is 432331061413. The next prime is 432331061447. The reversal of 432331061441 is 144160133234.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 432331061441 - 26 = 432331061377 is a prime.

It is a super-3 number, since 3×4323310614413 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 432331061398 and 432331061407.

It is not an unprimeable number, because it can be changed into a prime (432331061447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6677561 + ... + 6741993.

It is an arithmetic number, because the mean of its divisors is an integer number (54186416640).

Almost surely, 2432331061441 is an apocalyptic number.

It is an amenable number.

432331061441 is a deficient number, since it is larger than the sum of its proper divisors (1160271679).

432331061441 is a wasteful number, since it uses less digits than its factorization.

432331061441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82335.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 432331061441 its reverse (144160133234), we get a palindrome (576491194675).

The spelling of 432331061441 in words is "four hundred thirty-two billion, three hundred thirty-one million, sixty-one thousand, four hundred forty-one".

Divisors: 1 383 17519 64433 6709777 24677839 1128801727 432331061441