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34120014424 = 23172337294809
BaseRepresentation
bin11111110001101101…
…100001101001011000
310021001212211022122221
4133301231201221120
51024334210430144
623401410153424
72315345223466
oct376155415130
9107055738587
1034120014424
1113519949931
126742882874
1332a9b17162
1419196bd836
15d4a6a8d84
hex7f1b61a58

34120014424 has 64 divisors (see below), whose sum is σ = 72594014400. Its totient is φ = 14943227904.

The previous prime is 34120014419. The next prime is 34120014433. The reversal of 34120014424 is 42441002143.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31669 + ... + 263140.

It is an arithmetic number, because the mean of its divisors is an integer number (1134281475).

Almost surely, 234120014424 is an apocalyptic number.

34120014424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34120014424 is an abundant number, since it is smaller than the sum of its proper divisors (38473999976).

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

34120014424 is a wasteful number, since it uses less digits than its factorization.

34120014424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294892 (or 294888 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 34120014424 its reverse (42441002143), we get a palindrome (76561016567).

The spelling of 34120014424 in words is "thirty-four billion, one hundred twenty million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 17 23 34 37 46 68 74 92 136 148 184 296 391 629 782 851 1258 1564 1702 2516 3128 3404 5032 6808 14467 28934 57868 115736 294809 589618 1179236 2358472 5011753 6780607 10023506 10907933 13561214 20047012 21815866 27122428 40094024 43631732 54244856 87263464 115270319 185434861 230540638 250882459 370869722 461081276 501764918 741739444 922162552 1003529836 1483478888 2007059672 4265001803 8530003606 17060007212 34120014424