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34412412401 = 1713115452363
BaseRepresentation
bin100000000011001000…
…111011110111110001
310021211021000200021122
4200003020323313301
51030434034144101
623450413232025
72325525451643
oct400310736761
9107737020248
1034412412401
1113659a00854
126804792615
133325582a03
141946474893
15d661b551b
hex80323bdf1

34412412401 has 8 divisors (see below), whose sum is σ = 36714816864. Its totient is φ = 32140912960.

The previous prime is 34412412383. The next prime is 34412412407. The reversal of 34412412401 is 10421421443.

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 34412412401 - 226 = 34345303537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34412412407) 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, 7723955 + ... + 7728408.

It is an arithmetic number, because the mean of its divisors is an integer number (4589352108).

Almost surely, 234412412401 is an apocalyptic number.

It is an amenable number.

34412412401 is a deficient number, since it is larger than the sum of its proper divisors (2302404463).

34412412401 is a wasteful number, since it uses less digits than its factorization.

34412412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15452511.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 34412412401 its reverse (10421421443), we get a palindrome (44833833844).

The spelling of 34412412401 in words is "thirty-four billion, four hundred twelve million, four hundred twelve thousand, four hundred one".

Divisors: 1 17 131 2227 15452363 262690171 2024259553 34412412401