Search a number
-
+
14341024200 = 2335234768881
BaseRepresentation
bin11010101101100101…
…01010100111001000
31101000110011111211110
431112302222213020
5213332300233300
610331013530320
71015245460116
oct152662524710
941013144743
1014341024200
11609a152818
1229429439a0
131477171749
149a08c8ab6
1558e047550
hex356caa9c8

14341024200 has 96 divisors (see below), whose sum is σ = 44585940960. Its totient is φ = 3813196800.

The previous prime is 14341024199. The next prime is 14341024211. The reversal of 14341024200 is 242014341.

14341024200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173760 + ... + 242640.

It is an arithmetic number, because the mean of its divisors is an integer number (464436885).

Almost surely, 214341024200 is an apocalyptic number.

14341024200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14341024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22292970480).

14341024200 is an abundant number, since it is smaller than the sum of its proper divisors (30244916760).

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

14341024200 is a wasteful number, since it uses less digits than its factorization.

14341024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69247 (or 69238 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14341024200 its reverse (242014341), we get a palindrome (14583038541).

The spelling of 14341024200 in words is "fourteen billion, three hundred forty-one million, twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 347 600 694 1041 1388 1735 2082 2776 3470 4164 5205 6940 8328 8675 10410 13880 17350 20820 26025 34700 41640 52050 68881 69400 104100 137762 206643 208200 275524 344405 413286 551048 688810 826572 1033215 1377620 1653144 1722025 2066430 2755240 3444050 4132860 5166075 6888100 8265720 10332150 13776200 20664300 23901707 41328600 47803414 71705121 95606828 119508535 143410242 191213656 239017070 286820484 358525605 478034140 573640968 597542675 717051210 956068280 1195085350 1434102420 1792628025 2390170700 2868204840 3585256050 4780341400 7170512100 14341024200