Search a number
-
+
14103300131430 = 2353170121633151
BaseRepresentation
bin1100110100111010111000…
…1100011100101001100110
31211221021002020100100021020
43031032232030130221212
53322032024313201210
645554544443232010
72653633632106356
oct315165614345146
954837066310236
1014103300131430
1145481a3285334
1216b9392818606
137b3c21390783
1436a863900b66
15196cd4c14770
hexcd3ae31ca66

14103300131430 has 64 divisors (see below), whose sum is σ = 34989633110016. Its totient is φ = 3634369200000.

The previous prime is 14103300131383. The next prime is 14103300131443. The reversal of 14103300131430 is 3413100330141.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14103300131430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10164646 + ... + 11468505.

It is an arithmetic number, because the mean of its divisors is an integer number (546713017344).

Almost surely, 214103300131430 is an apocalyptic number.

14103300131430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14103300131430 is an abundant number, since it is smaller than the sum of its proper divisors (20886332978586).

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

14103300131430 is a wasteful number, since it uses less digits than its factorization.

14103300131430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21633893.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 14103300131430 its reverse (3413100330141), we get a palindrome (17516400461571).

The spelling of 14103300131430 in words is "fourteen trillion, one hundred three billion, three hundred million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 701 930 1402 2103 3505 4206 7010 10515 21030 21731 43462 65193 108655 130386 217310 325965 651930 21633151 43266302 64899453 108165755 129798906 216331510 324497265 648994530 670627681 1341255362 2011883043 3353138405 4023766086 6706276810 10059415215 15164838851 20118830430 30329677702 45494516553 75824194255 90989033106 151648388510 227472582765 454945165530 470110004381 940220008762 1410330013143 2350550021905 2820660026286 4701100043810 7051650065715 14103300131430