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34434140031 = 3229831589537
BaseRepresentation
bin100000000100011011…
…110100011101111111
310021212202220112222200
4200010123310131333
51031010114440111
623452511042543
72326211234544
oct400433643577
9107782815880
1034434140031
11136701a1075
12680bb10453
133329c1c5b5
1419492ccbcb
15d68058256
hex8046f477f

34434140031 has 24 divisors (see below), whose sum is σ = 52073264880. Its totient is φ = 21897447936.

The previous prime is 34434140023. The next prime is 34434140071. The reversal of 34434140031 is 13004143443.

It is not a de Polignac number, because 34434140031 - 23 = 34434140023 is a prime.

It is a super-2 number, since 2×344341400312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34434139977 and 34434140004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34434140071) 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 23 ways as a sum of consecutive naturals, for example, 773106 + ... + 816431.

It is an arithmetic number, because the mean of its divisors is an integer number (2169719370).

Almost surely, 234434140031 is an apocalyptic number.

34434140031 is a deficient number, since it is larger than the sum of its proper divisors (17639124849).

34434140031 is a wasteful number, since it uses less digits than its factorization.

34434140031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589655 (or 1589652 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34434140031 its reverse (13004143443), we get a palindrome (47438283474).

The spelling of 34434140031 in words is "thirty-four billion, four hundred thirty-four million, one hundred forty thousand, thirty-one".

Divisors: 1 3 9 29 83 87 249 261 747 2407 7221 21663 1589537 4768611 14305833 46096573 131931571 138289719 395794713 414869157 1187384139 3826015559 11478046677 34434140031