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14140442300 = 2252312269547
BaseRepresentation
bin11010010101101011…
…00000011010111100
31100111110201220012012
431022311200122330
5212424423123200
610255050430352
71010261530205
oct151265403274
940443656165
1014140442300
115aa6a02656
1228a77323b8
13144474262a
14981dd45ac
1557b625a35
hex34ad606bc

14140442300 has 108 divisors (see below), whose sum is σ = 31882568760. Its totient is φ = 5443401600.

The previous prime is 14140442299. The next prime is 14140442321. The reversal of 14140442300 is 324404141.

It is a happy number.

14140442300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 25850627 + ... + 25851173.

It is an arithmetic number, because the mean of its divisors is an integer number (295208970).

Almost surely, 214140442300 is an apocalyptic number.

14140442300 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 14140442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941284380).

14140442300 is an abundant number, since it is smaller than the sum of its proper divisors (17742126460).

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

14140442300 is a wasteful number, since it uses less digits than its factorization.

14140442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 14140442300 its reverse (324404141), we get a palindrome (14464846441).

The spelling of 14140442300 in words is "fourteen billion, one hundred forty million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 269 310 538 547 620 775 961 1076 1094 1345 1550 1922 2188 2690 2735 3100 3844 4805 5380 5470 6725 8339 9610 10940 13450 13675 16678 16957 19220 24025 26900 27350 33356 33914 41695 48050 54700 67828 83390 84785 96100 147143 166780 169570 208475 258509 294286 339140 416950 423925 517018 525667 588572 735715 833900 847850 1034036 1051334 1292545 1471430 1695700 2102668 2585090 2628335 2942860 3678575 4561433 5170180 5256670 6462725 7357150 9122866 10513340 12925450 13141675 14714300 18245732 22807165 25850900 26283350 45614330 52566700 91228660 114035825 141404423 228071650 282808846 456143300 565617692 707022115 1414044230 2828088460 3535110575 7070221150 14140442300