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14218427300 = 22527114342943
BaseRepresentation
bin11010011110111101…
…11111101110100100
31100200220110221111112
431033132333232210
5213104404133200
610310514124152
71012226431550
oct151736775644
940626427445
1014218427300
116036a27970
122909880658
1314579487bc
1498c4d4860
155833cc535
hex34f7bfba4

14218427300 has 144 divisors (see below), whose sum is σ = 39362813952. Its totient is φ = 4328553600.

The previous prime is 14218427297. The next prime is 14218427369. The reversal of 14218427300 is 372481241.

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 47 ways as a sum of consecutive naturals, for example, 309629 + ... + 352571.

Almost surely, 214218427300 is an apocalyptic number.

14218427300 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 14218427300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681406976).

14218427300 is an abundant number, since it is smaller than the sum of its proper divisors (25144386652).

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

14218427300 is a wasteful number, since it uses less digits than its factorization.

14218427300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43018 (or 43011 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 14218427300 in words is "fourteen billion, two hundred eighteen million, four hundred twenty-seven thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 43 44 50 55 70 77 86 100 110 140 154 172 175 215 220 275 301 308 350 385 430 473 550 602 700 770 860 946 1075 1100 1204 1505 1540 1892 1925 2150 2365 3010 3311 3850 4300 4730 6020 6622 7525 7700 9460 11825 13244 15050 16555 23650 30100 33110 42943 47300 66220 82775 85886 165550 171772 214715 300601 331100 429430 472373 601202 858860 944746 1073575 1202404 1503005 1846549 1889492 2147150 2361865 3006010 3306611 3693098 4294300 4723730 6012020 6613222 7386196 7515025 9232745 9447460 11809325 12925843 13226444 15030050 16533055 18465490 20312039 23618650 25851686 30060100 33066110 36930980 40624078 46163725 47237300 51703372 64629215 66132220 81248156 82665275 92327450 101560195 129258430 142184273 165330550 184654900 203120390 258516860 284368546 323146075 330661100 406240780 507800975 568737092 646292150 710921365 1015601950 1292584300 1421842730 2031203900 2843685460 3554606825 7109213650 14218427300