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34122324300042 = 23117129092503183
BaseRepresentation
bin1111100001000101110010…
…00001001101000100001010
311110211001200110010202011110
413300202321001031010022
513433030010010100132
6200323325051311150
710121154001654566
oct760427101150412
9143731613122143
1034122324300042
11a966218555870
1239b117544b4b6
13160694bb248c4
1485d75a5c86a6
153e28eed0b1cc
hex1f08b904d10a

34122324300042 has 64 divisors (see below), whose sum is σ = 75523264081920. Its totient is φ = 10190954558400.

The previous prime is 34122324300007. The next prime is 34122324300083. The reversal of 34122324300042 is 24000342322143.

It is a junction number, because it is equal to n+sod(n) for n = 34122324299982 and 34122324300009.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12379983 + ... + 14883165.

It is an arithmetic number, because the mean of its divisors is an integer number (1180051001280).

Almost surely, 234122324300042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34122324300042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37761632040960).

34122324300042 is an abundant number, since it is smaller than the sum of its proper divisors (41400939781878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34122324300042 is a wasteful number, since it uses less digits than its factorization.

34122324300042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506179.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34122324300042 its reverse (24000342322143), we get a palindrome (58122666622185).

The spelling of 34122324300042 in words is "thirty-four trillion, one hundred twenty-two billion, three hundred twenty-four million, three hundred thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1562 2343 2909 4686 5818 8727 17454 31999 63998 95997 191994 206539 413078 619617 1239234 2271929 2503183 4543858 5006366 6815787 7509549 13631574 15019098 27535013 55070026 82605039 165210078 177725993 355451986 533177979 1066355958 1954985923 3909971846 5864957769 7281759347 11729915538 14563518694 21845278041 43690556082 80099352817 160198705634 240298058451 480596116902 517004913637 1034009827274 1551014740911 3102029481822 5687054050007 11374108100014 17061162150021 34122324300042