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34153235143 = 101499677657
BaseRepresentation
bin11111110011101100…
…010000001011000111
310021011012100002220221
4133303230100023013
51024421212011033
623404554205211
72316230465056
oct376354201307
9107135302827
1034153235143
111353667a075
126751a23807
1332b39790a1
14191dc8a39d
15d4d56c12d
hex7f3b102c7

34153235143 has 8 divisors (see below), whose sum is σ = 34560558000. Its totient is φ = 33747268800.

The previous prime is 34153235089. The next prime is 34153235173.

34153235143 is nontrivially palindromic in base 10.

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 34153235143 - 29 = 34153234631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34153235099 and 34153235108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34153235173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288430 + ... + 389227.

It is an arithmetic number, because the mean of its divisors is an integer number (4320069750).

Almost surely, 234153235143 is an apocalyptic number.

34153235143 is a deficient number, since it is larger than the sum of its proper divisors (407322857).

34153235143 is a wasteful number, since it uses less digits than its factorization.

34153235143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678257.

The product of its digits is 64800, while the sum is 34.

The spelling of 34153235143 in words is "thirty-four billion, one hundred fifty-three million, two hundred thirty-five thousand, one hundred forty-three".

Divisors: 1 101 499 50399 677657 68443357 338150843 34153235143