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30432123324441 = 332297309673403
BaseRepresentation
bin1101110101101100001111…
…11001101000100000011001
310222202021121222222002102000
412322312013321220200121
512442044442032340231
6144420154025431213
76260435246136306
oct672660771504031
9128667558862360
1030432123324441
119773211286573
1234b5b4863b509
1313c9977008b77
14772ccb9960ad
1537b92191e6e6
hex1bad87e68819

30432123324441 has 32 divisors (see below), whose sum is σ = 45287765808000. Its totient is φ = 20196694332864.

The previous prime is 30432123324397. The next prime is 30432123324451. The reversal of 30432123324441 is 14442332123403.

30432123324441 is a `hidden beast` number, since 3 + 0 + 4 + 321 + 2 + 3 + 324 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 30432123324441 - 225 = 30432089770009 is a prime.

It is a super-2 number, since 2×304321233244412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30432123324396 and 30432123324405.

It is not an unprimeable number, because it can be changed into a prime (30432123324451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44854846 + ... + 45528248.

It is an arithmetic number, because the mean of its divisors is an integer number (1415242681500).

Almost surely, 230432123324441 is an apocalyptic number.

It is an amenable number.

30432123324441 is a deficient number, since it is larger than the sum of its proper divisors (14855642483559).

30432123324441 is a wasteful number, since it uses less digits than its factorization.

30432123324441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680950 (or 680944 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 30432123324441 its reverse (14442332123403), we get a palindrome (44874455447844).

The spelling of 30432123324441 in words is "thirty trillion, four hundred thirty-two billion, one hundred twenty-three million, three hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 3 9 27 229 687 2061 6183 7309 21927 65781 197343 673403 1673761 2020209 5021283 6060627 15063849 18181881 45191547 154209287 462627861 1387883583 4163650749 4921902527 14765707581 44297122743 132891368229 1127115678683 3381347036049 10144041108147 30432123324441