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34442313543 = 32113789105649
BaseRepresentation
bin100000000100111010…
…111111111101000111
310021220100021210221100
4200010322333331013
51031014213013133
623453402151143
72326340556201
oct400472777507
9107810253840
1034442313543
1113674873a40
1268127b24b3
13332b8219b1
14194a419771
15d68b1ee13
hex804ebff47

34442313543 has 48 divisors (see below), whose sum is σ = 56366388000. Its totient is φ = 20081571840.

The previous prime is 34442313511. The next prime is 34442313547. The reversal of 34442313543 is 34531324443.

It is a happy number.

34442313543 is a `hidden beast` number, since 3 + 44 + 42 + 31 + 3 + 543 = 666.

It is not a de Polignac number, because 34442313543 - 25 = 34442313511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34442313498 and 34442313507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442313547) 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, 273183 + ... + 378831.

It is an arithmetic number, because the mean of its divisors is an integer number (1174299750).

Almost surely, 234442313543 is an apocalyptic number.

34442313543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34442313543 is a deficient number, since it is larger than the sum of its proper divisors (21924074457).

34442313543 is a wasteful number, since it uses less digits than its factorization.

34442313543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105792 (or 105789 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

Adding to 34442313543 its reverse (34531324443), we get a palindrome (68973637986).

The spelling of 34442313543 in words is "thirty-four billion, four hundred forty-two million, three hundred thirteen thousand, five hundred forty-three".

Divisors: 1 3 9 11 33 37 89 99 111 267 333 407 801 979 1221 2937 3293 3663 8811 9879 29637 36223 105649 108669 316947 326007 950841 1162139 3486417 3909013 9402761 10459251 11727039 28208283 35181117 42999143 84624849 103430371 128997429 310291113 347902157 386992287 930873339 1043706471 3131119413 3826923727 11480771181 34442313543