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14241034221444 = 22324136607263567
BaseRepresentation
bin1100111100111011111111…
…0010010011011110000100
31212102102121011100001212100
43033032333302103132010
53331311114230041234
650142124002552100
72666611050416202
oct317167762233604
955372534301770
1014241034221444
1145a0652611798
121720011668630
137c3c01685114
143733ac216072
1519a696a4a399
hexcf3bfc93784

14241034221444 has 72 divisors (see below), whose sum is σ = 36877321248768. Its totient is φ = 4631086558080.

The previous prime is 14241034221431. The next prime is 14241034221457. The reversal of 14241034221444 is 44412243014241.

14241034221444 is a `hidden beast` number, since 1 + 424 + 1 + 0 + 3 + 4 + 221 + 4 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14241034221431) and next prime (14241034221457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14241034221399 and 14241034221408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53900149 + ... + 54163715.

It is an arithmetic number, because the mean of its divisors is an integer number (512185017344).

Almost surely, 214241034221444 is an apocalyptic number.

It is an amenable number.

14241034221444 is an abundant number, since it is smaller than the sum of its proper divisors (22636287027324).

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

14241034221444 is a wasteful number, since it uses less digits than its factorization.

14241034221444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300225 (or 300220 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14241034221444 its reverse (44412243014241), we get a palindrome (58653277235685).

The spelling of 14241034221444 in words is "fourteen trillion, two hundred forty-one billion, thirty-four million, two hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 36607 73214 109821 146428 219642 263567 329463 439284 527134 658926 790701 1054268 1317852 1500887 1581402 2372103 3001774 3162804 4502661 4744206 6003548 9005322 9488412 10806247 13507983 18010644 21612494 27015966 32418741 43224988 54031932 64837482 97256223 129674964 194512446 389024892 9648397169 19296794338 28945191507 38593588676 57890383014 86835574521 115780766028 173671149042 347342298084 395584283929 791168567858 1186752851787 1582337135716 2373505703574 3560258555361 4747011407148 7120517110722 14241034221444