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4332142412145 = 32596269831381
BaseRepresentation
bin111111000010100111110…
…011110100000101110001
3120100011000110020110000100
4333002213303310011301
51031434211424142040
613114054142343013
7624662345634042
oct77024763640561
916304013213010
104332142412145
1114202844a8949
1259b72188aa69
13255699b09a12
1410d9692568c9
1577a503d6b30
hex3f0a7cf4171

4332142412145 has 12 divisors (see below), whose sum is σ = 7509046847796. Its totient is φ = 2310475953120.

The previous prime is 4332142412131. The next prime is 4332142412177. The reversal of 4332142412145 is 5412142412334.

4332142412145 is a `hidden beast` number, since 4 + 332 + 142 + 41 + 2 + 145 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1772913554064 + 2559228858081 = 1331508^2 + 1599759^2 .

It is not a de Polignac number, because 4332142412145 - 28 = 4332142411889 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48134915646 + ... + 48134915735.

It is an arithmetic number, because the mean of its divisors is an integer number (625753903983).

Almost surely, 24332142412145 is an apocalyptic number.

4332142412145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4332142412145 is a deficient number, since it is larger than the sum of its proper divisors (3176904435651).

4332142412145 is a wasteful number, since it uses less digits than its factorization.

4332142412145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96269831392 (or 96269831389 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 4332142412145 its reverse (5412142412334), we get a palindrome (9744284824479).

The spelling of 4332142412145 in words is "four trillion, three hundred thirty-two billion, one hundred forty-two million, four hundred twelve thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 96269831381 288809494143 481349156905 866428482429 1444047470715 4332142412145