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34441010001 = 331451879113
BaseRepresentation
bin100000000100110110…
…000001101101010001
310021220020211120211000
4200010312001231101
51031013344310001
623453314212213
72326323516606
oct400466015521
9107806746730
1034441010001
1113674063632
126812284069
13332b486578
14194a19a6ad
15d68963a86
hex804d81b51

34441010001 has 16 divisors (see below), whose sum is σ = 51058941120. Its totient is φ = 22944823200.

The previous prime is 34441009913. The next prime is 34441010027. The reversal of 34441010001 is 10001014443.

It is not a de Polignac number, because 34441010001 - 29 = 34441009489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34441010081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400380 + ... + 478733.

It is an arithmetic number, because the mean of its divisors is an integer number (3191183820).

Almost surely, 234441010001 is an apocalyptic number.

It is an amenable number.

34441010001 is a deficient number, since it is larger than the sum of its proper divisors (16617931119).

34441010001 is a wasteful number, since it uses less digits than its factorization.

34441010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880573 (or 880567 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34441010001 its reverse (10001014443), we get a palindrome (44442024444).

The spelling of 34441010001 in words is "thirty-four billion, four hundred forty-one million, ten thousand, one".

Divisors: 1 3 9 27 1451 4353 13059 39177 879113 2637339 7912017 23736051 1275592963 3826778889 11480336667 34441010001