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34433013231 = 3241137681127
BaseRepresentation
bin100000000100010111…
…100001010111101111
310021212200210022022100
4200010113201113233
51031004322410411
623452430550143
72326165532451
oct400427412757
9107780708270
1034433013231
111366a5a1531
12680b668353
133329916756
1419490b82d1
15d67dd4456
hex8045e15ef

34433013231 has 24 divisors (see below), whose sum is σ = 51321632544. Its totient is φ = 22231952640.

The previous prime is 34433013211. The next prime is 34433013271. The reversal of 34433013231 is 13231033443.

34433013231 is a `hidden beast` number, since 3 + 4 + 4 + 330 + 1 + 323 + 1 = 666.

It is not a de Polignac number, because 34433013231 - 211 = 34433011183 is a prime.

It is a super-2 number, since 2×344330132312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34433013195 and 34433013204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34433013211) 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 23 ways as a sum of consecutive naturals, for example, 290011 + ... + 391116.

It is an arithmetic number, because the mean of its divisors is an integer number (2138401356).

Almost surely, 234433013231 is an apocalyptic number.

34433013231 is a deficient number, since it is larger than the sum of its proper divisors (16888619313).

34433013231 is a wasteful number, since it uses less digits than its factorization.

34433013231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681311 (or 681308 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34433013231 its reverse (13231033443), we get a palindrome (47664046674).

The spelling of 34433013231 in words is "thirty-four billion, four hundred thirty-three million, thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 41 123 137 369 411 1233 5617 16851 50553 681127 2043381 6130143 27926207 83778621 93314399 251335863 279943197 839829591 3825890359 11477671077 34433013231