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34148284143 = 331596223489
BaseRepresentation
bin11111110011011001…
…010111011011101111
310021010212000120102120
4133303121113123233
51024413430043033
623404300124023
72316140424501
oct376331273357
9107125016376
1034148284143
11135338a8336
126750236613
1332b29346bc
14191d35bd71
15d4cde01b3
hex7f36576ef

34148284143 has 16 divisors (see below), whose sum is σ = 47796403200. Its totient is φ = 21657738240.

The previous prime is 34148284141. The next prime is 34148284153.

34148284143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34148284143 - 21 = 34148284141 is a prime.

It is a super-2 number, since 2×341482841432 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34148284095 and 34148284104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34148284141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3106258 + ... + 3117231.

It is an arithmetic number, because the mean of its divisors is an integer number (2987275200).

Almost surely, 234148284143 is an apocalyptic number.

34148284143 is a deficient number, since it is larger than the sum of its proper divisors (13648119057).

34148284143 is a wasteful number, since it uses less digits than its factorization.

34148284143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6223582.

The product of its digits is 294912, while the sum is 42.

The spelling of 34148284143 in words is "thirty-four billion, one hundred forty-eight million, two hundred eighty-four thousand, one hundred forty-three".

Divisors: 1 3 31 59 93 177 1829 5487 6223489 18670467 192928159 367185851 578784477 1101557553 11382761381 34148284143