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34443034443 = 3243891019901
BaseRepresentation
bin100000000100111101…
…101111111101001011
310021220101122102211100
4200010331233331023
51031014404100233
623453425432443
72326346651016
oct400475577513
9107811572740
1034443034443
1113675216624
126812a9b723
13332ba14b6c
14194a56637d
15d68c13813
hex804f6ff4b

34443034443 has 48 divisors (see below), whose sum is σ = 51995005920. Its totient is φ = 21954240000.

The previous prime is 34443034441. The next prime is 34443034469.

34443034443 is a `hidden beast` number, since 344 + 4 + 303 + 4 + 4 + 4 + 3 = 666.

34443034443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34443034443 - 21 = 34443034441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34443034398 and 34443034407.

It is not an unprimeable number, because it can be changed into a prime (34443034441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3473793 + ... + 3483693.

It is an arithmetic number, because the mean of its divisors is an integer number (1083229290).

Almost surely, 234443034443 is an apocalyptic number.

34443034443 is a deficient number, since it is larger than the sum of its proper divisors (17551971477).

34443034443 is a wasteful number, since it uses less digits than its factorization.

34443034443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10140 (or 10137 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 344430 and 34443, that added together give a palindrome (378873).

The spelling of 34443034443 in words is "thirty-four billion, four hundred forty-three million, thirty-four thousand, four hundred forty-three".

Divisors: 1 3 9 43 89 101 129 267 303 387 801 909 3827 4343 8989 9901 11481 13029 26967 29703 34443 39087 80901 89109 386527 425743 881189 1000001 1159581 1277229 2643567 3000003 3478743 3831687 7930701 9000009 37891127 43000043 89000089 113673381 129000129 267000267 341020143 387000387 801000801 3827003827 11481011481 34443034443