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34101104441 = 731972371261
BaseRepresentation
bin11111110000100101…
…011000111100111001
310021000120020121001012
4133300211120330321
51024314340320231
623355453003305
72315025414365
oct376045307471
9107016217035
1034101104441
111350a203548
126738483535
1332a5c25c11
141916d9a2a5
15d48bc0e2b
hex7f0958f39

34101104441 has 8 divisors (see below), whose sum is σ = 34743730824. Its totient is φ = 33463221120.

The previous prime is 34101104383. The next prime is 34101104461. The reversal of 34101104441 is 14440110143.

It can be written as a sum of positive squares in 4 ways, for example, as 15065107600 + 19035996841 = 122740^2 + 137971^2 .

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 34101104441 - 218 = 34100842297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34101104461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1171250 + ... + 1200011.

It is an arithmetic number, because the mean of its divisors is an integer number (4342966353).

Almost surely, 234101104441 is an apocalyptic number.

It is an amenable number.

34101104441 is a deficient number, since it is larger than the sum of its proper divisors (642626383).

34101104441 is a wasteful number, since it uses less digits than its factorization.

34101104441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371531.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 34101104441 its reverse (14440110143), we get a palindrome (48541214584).

The spelling of 34101104441 in words is "thirty-four billion, one hundred one million, one hundred four thousand, four hundred forty-one".

Divisors: 1 73 197 14381 2371261 173102053 467138417 34101104441