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14241340300 = 225211172926261
BaseRepresentation
bin11010100001101100…
…11001101110001100
31100202111121001020011
431100312121232030
5213131240342200
610313053203004
71012625252365
oct152066315614
940674531204
1014241340300
116048957830
122915490464
13145c60baa5
1499157ab6c
155854065ba
hex350d99b8c

14241340300 has 144 divisors (see below), whose sum is σ = 36928573920. Its totient is φ = 4705792000.

The previous prime is 14241340273. The next prime is 14241340339. The reversal of 14241340300 is 304314241.

14241340300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 47 ways as a sum of consecutive naturals, for example, 529170 + ... + 555430.

It is an arithmetic number, because the mean of its divisors is an integer number (256448430).

Almost surely, 214241340300 is an apocalyptic number.

14241340300 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 14241340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18464286960).

14241340300 is an abundant number, since it is smaller than the sum of its proper divisors (22687233620).

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

14241340300 is a wasteful number, since it uses less digits than its factorization.

14241340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26332 (or 26325 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14241340300 its reverse (304314241), we get a palindrome (14545654541).

The spelling of 14241340300 in words is "fourteen billion, two hundred forty-one million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 29 34 44 50 55 58 68 85 100 110 116 145 170 187 220 275 290 319 340 374 425 493 550 580 638 725 748 850 935 986 1100 1276 1450 1595 1700 1870 1972 2465 2900 3190 3740 4675 4930 5423 6380 7975 9350 9860 10846 12325 15950 18700 21692 24650 26261 27115 31900 49300 52522 54230 105044 108460 131305 135575 262610 271150 288871 446437 525220 542300 577742 656525 761569 892874 1155484 1313050 1444355 1523138 1785748 2232185 2626100 2888710 3046276 3807845 4464370 4910807 5777420 7221775 7615690 8377259 8928740 9821614 11160925 12946673 14443550 15231380 16754518 19039225 19643228 22321850 24554035 25893346 28887100 33509036 38078450 41886295 44643700 49108070 51786692 64733365 76156900 83772590 98216140 122770175 129466730 142413403 167545180 209431475 245540350 258933460 284826806 323666825 418862950 491080700 569653612 647333650 712067015 837725900 1294667300 1424134030 2848268060 3560335075 7120670150 14241340300