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14334114300 = 22352114343671
BaseRepresentation
bin11010101100110000…
…10011100111111100
31100222222011110020020
431112120103213330
5213324013124200
610330205452140
71015132650462
oct152630234774
940888143206
1014334114300
116096263260
122940571050
1314758c254c
1499da0a832
1558d62eea0
hex3566139fc

14334114300 has 72 divisors (see below), whose sum is σ = 45243687552. Its totient is φ = 3474936000.

The previous prime is 14334114293. The next prime is 14334114313. The reversal of 14334114300 is 341143341.

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 23 ways as a sum of consecutive naturals, for example, 2168536 + ... + 2175135.

Almost surely, 214334114300 is an apocalyptic number.

14334114300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14334114300 is an abundant number, since it is smaller than the sum of its proper divisors (30909573252).

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

14334114300 is a wasteful number, since it uses less digits than its factorization.

14334114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343699 (or 4343692 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14334114300 its reverse (341143341), we get a palindrome (14675257641).

It can be divided in two parts, 143341 and 14300, that added together give a triangular number (157641 = T561).

The spelling of 14334114300 in words is "fourteen billion, three hundred thirty-four million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4343671 8687342 13031013 17374684 21718355 26062026 43436710 47780381 52124052 65155065 86873420 95560762 108591775 130310130 143341143 191121524 217183550 238901905 260620260 286682286 325775325 434367100 477803810 573364572 651550650 716705715 955607620 1194509525 1303101300 1433411430 2389019050 2866822860 3583528575 4778038100 7167057150 14334114300