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14011440244300 = 22522316382945083
BaseRepresentation
bin1100101111100100101011…
…1010110010011001001100
31211121110222100202120122101
43023321022322302121030
53314030412200304200
645444433343124444
72644202360001352
oct313711272623114
954543870676571
1014011440244300
114512244816544
1216a3616ba3724
137a8372140985
1436622b9bb7d2
1519470a45026a
hexcbe4aeb264c

14011440244300 has 144 divisors (see below), whose sum is σ = 31960631888640. Its totient is φ = 5321464853760.

The previous prime is 14011440244297. The next prime is 14011440244357. The reversal of 14011440244300 is 344204411041.

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, 310769559 + ... + 310814641.

It is an arithmetic number, because the mean of its divisors is an integer number (221948832560).

Almost surely, 214011440244300 is an apocalyptic number.

14011440244300 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 14011440244300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980315944320).

14011440244300 is an abundant number, since it is smaller than the sum of its proper divisors (17949191644340).

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

14011440244300 is a wasteful number, since it uses less digits than its factorization.

14011440244300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46112 (or 46105 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14011440244300 its reverse (344204411041), we get a palindrome (14355644655341).

The spelling of 14011440244300 in words is "fourteen trillion, eleven billion, four hundred forty million, two hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 163 230 326 460 575 652 815 829 1150 1630 1658 2300 3260 3316 3749 4075 4145 7498 8150 8290 14996 16300 16580 18745 19067 20725 37490 38134 41450 45083 74980 76268 82900 90166 93725 95335 135127 180332 187450 190670 225415 270254 374900 381340 450830 476675 540508 675635 901660 953350 1036909 1127075 1351270 1906700 2073818 2254150 2702540 3107921 3378175 4147636 4508300 5184545 6215842 6756350 7348529 10369090 12431684 13512700 14697058 15539605 20738180 25922725 29394116 31079210 36742645 37373807 51845450 62158420 73485290 74747614 77698025 103690900 146970580 149495228 155396050 169016167 183713225 186869035 310792100 338032334 367426450 373738070 676064668 734852900 747476140 845080835 859597561 934345175 1690161670 1719195122 1868690350 3380323340 3438390244 3737380700 4225404175 4297987805 6091930541 8450808350 8595975610 12183861082 16901616700 17191951220 21489939025 24367722164 30459652705 42979878050 60919305410 85959756100 121838610820 140114402443 152298263525 280228804886 304596527050 560457609772 609193054100 700572012215 1401144024430 2802288048860 3502860061075 7005720122150 14011440244300