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4001320432241 = 112918616740099
BaseRepresentation
bin111010001110100001010…
…010000111001001110001
3112011112002220022121102222
4322032201102013021301
51011024201012312431
612302103051250425
7562041310332566
oct72164122071161
915145086277388
104001320432241
111302a50084990
12547596149a15
132304275387a2
14db94485c86d
156e13bd8457b
hex3a3a1487271

4001320432241 has 16 divisors (see below), whose sum is σ = 4518023832000. Its totient is φ = 3510243038400.

The previous prime is 4001320432231. The next prime is 4001320432337. The reversal of 4001320432241 is 1422340231004.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4001320432241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4001320432241.

It is not an unprimeable number, because it can be changed into a prime (4001320432231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2776391 + ... + 3963708.

It is an arithmetic number, because the mean of its divisors is an integer number (282376489500).

Almost surely, 24001320432241 is an apocalyptic number.

It is an amenable number.

4001320432241 is a deficient number, since it is larger than the sum of its proper divisors (516703399759).

4001320432241 is a wasteful number, since it uses less digits than its factorization.

4001320432241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742000.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4001320432241 its reverse (1422340231004), we get a palindrome (5423660663245).

The spelling of 4001320432241 in words is "four trillion, one billion, three hundred twenty million, four hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 11 29 319 1861 20471 53969 593659 6740099 74141089 195462871 2150091581 12543324239 137976566629 363756402931 4001320432241