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34213410041 = 236719221393
BaseRepresentation
bin11111110111010001…
…110011010011111001
310021022101120022100212
4133313101303103321
51030032113110131
623414544040505
72320561121066
oct376721632371
9107271508325
1034213410041
111356763a398
12676a003135
1332c3287835
141927c71c6d
15d539a6a2b
hex7f74734f9

34213410041 has 8 divisors (see below), whose sum is σ = 35706424320. Its totient is φ = 32720852032.

The previous prime is 34213410031. The next prime is 34213410043. The reversal of 34213410041 is 14001431243.

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

It is a cyclic number.

It is not a de Polignac number, because 34213410041 - 222 = 34209215737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34213409989 and 34213410016.

It is not an unprimeable number, because it can be changed into a prime (34213410043) 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 7 ways as a sum of consecutive naturals, for example, 43841 + ... + 265233.

It is an arithmetic number, because the mean of its divisors is an integer number (4463303040).

Almost surely, 234213410041 is an apocalyptic number.

It is an amenable number.

34213410041 is a deficient number, since it is larger than the sum of its proper divisors (1493014279).

34213410041 is a wasteful number, since it uses less digits than its factorization.

34213410041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228135.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34213410041 its reverse (14001431243), we get a palindrome (48214841284).

The spelling of 34213410041 in words is "thirty-four billion, two hundred thirteen million, four hundred ten thousand, forty-one".

Divisors: 1 23 6719 154537 221393 5092039 1487539567 34213410041