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14236745300 = 2252374322081
BaseRepresentation
bin11010100001001001…
…10111111001010100
31100202011221121001222
431100210313321110
5213124101322200
610312410505512
71012541224031
oct152044677124
940664847058
1014236745300
1160462a9508
122913a35298
13145b69045b
14990b02388
15584ce9d85
hex350937e54

14236745300 has 108 divisors (see below), whose sum is σ = 32499349596. Its totient is φ = 5409331200.

The previous prime is 14236745291. The next prime is 14236745311. The reversal of 14236745300 is 354763241.

14236745300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8549776 + 14228195524 = 2924^2 + 119282^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 6840260 + ... + 6842340.

Almost surely, 214236745300 is an apocalyptic number.

14236745300 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 14236745300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249674798).

14236745300 is an abundant number, since it is smaller than the sum of its proper divisors (18262604296).

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

14236745300 is a wasteful number, since it uses less digits than its factorization.

14236745300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 14236745300 in words is "fourteen billion, two hundred thirty-six million, seven hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 43 50 74 86 100 148 172 185 215 370 430 740 860 925 1075 1591 1849 1850 2081 2150 3182 3698 3700 4162 4300 6364 7396 7955 8324 9245 10405 15910 18490 20810 31820 36980 39775 41620 46225 52025 68413 76997 79550 89483 92450 104050 136826 153994 159100 178966 184900 208100 273652 307988 342065 357932 384985 447415 684130 769970 894830 1368260 1539940 1710325 1789660 1924925 2237075 3310871 3420650 3847769 3849850 4474150 6621742 6841300 7695538 7699700 8948300 13243484 15391076 16554355 19238845 33108710 38477690 66217420 76955380 82771775 96194225 142367453 165543550 192388450 284734906 331087100 384776900 569469812 711837265 1423674530 2847349060 3559186325 7118372650 14236745300