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34131440043 = 35659213139
BaseRepresentation
bin11111110010011001…
…000111000110101011
310021002200022210200000
4133302121013012223
51024400122040133
623402455114043
72315544311361
oct376231070653
9107080283600
1034131440043
1113525343098
126746672923
1332ac2b788c
14191b015631
15d4b6b4413
hex7f26471ab

34131440043 has 24 divisors (see below), whose sum is σ = 51204753600. Its totient is φ = 22719658248.

The previous prime is 34131439981. The next prime is 34131440051. The reversal of 34131440043 is 34004413143.

34131440043 is a `hidden beast` number, since 341 + 314 + 4 + 0 + 0 + 4 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-34131440043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34131439989 and 34131440016.

It is not an unprimeable number, because it can be changed into a prime (34131440443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53568 + ... + 266706.

It is an arithmetic number, because the mean of its divisors is an integer number (2133531400).

Almost surely, 234131440043 is an apocalyptic number.

34131440043 is a deficient number, since it is larger than the sum of its proper divisors (17073313557).

34131440043 is an equidigital number, since it uses as much as digits as its factorization.

34131440043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213813 (or 213801 counting only the distinct ones).

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

Adding to 34131440043 its reverse (34004413143), we get a palindrome (68135853186).

The spelling of 34131440043 in words is "thirty-four billion, one hundred thirty-one million, four hundred forty thousand, forty-three".

Divisors: 1 3 9 27 81 243 659 1977 5931 17793 53379 160137 213139 639417 1918251 5754753 17264259 51792777 140458601 421375803 1264127409 3792382227 11377146681 34131440043