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6002400041 = 114113309091
BaseRepresentation
bin1011001011100010…
…10101101100101001
3120111022120111220122
411211301111230221
544243103300131
62431340133025
7301513362401
oct54561255451
916438514818
106002400041
11260021aaa0
1211b6237175
13748729301
1440d275801
15251e5dd7b
hex165c55b29

6002400041 has 8 divisors (see below), whose sum is σ = 6707782368. Its totient is φ = 5323636000.

The previous prime is 6002400031. The next prime is 6002400049. The reversal of 6002400041 is 1400042006.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6002400041 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6002399992 and 6002400019.

It is not an unprimeable number, because it can be changed into a prime (6002400049) 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, 6654095 + ... + 6654996.

It is an arithmetic number, because the mean of its divisors is an integer number (838472796).

Almost surely, 26002400041 is an apocalyptic number.

It is an amenable number.

6002400041 is a deficient number, since it is larger than the sum of its proper divisors (705382327).

6002400041 is a wasteful number, since it uses less digits than its factorization.

6002400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13309143.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 6002400041 is about 77475.1575732505. The cubic root of 6002400041 is about 1817.3628474186.

Adding to 6002400041 its reverse (1400042006), we get a palindrome (7402442047).

The spelling of 6002400041 in words is "six billion, two million, four hundred thousand, forty-one".

Divisors: 1 11 41 451 13309091 146400001 545672731 6002400041