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14442024200310 = 2325783276190939
BaseRepresentation
bin1101001000101000101110…
…1110001110100001110110
31220010122101111102220001200
43102022023232032201312
53343104231143402220
650414324015433330
73020254552146030
oct322121356164166
956118344386050
1014442024200310
114668912181743
121752b64825846
13809b52b130b5
1437cdd7996c50
151a0a0bd71890
hexd228bb8e876

14442024200310 has 96 divisors (see below), whose sum is σ = 43430472933120. Its totient is φ = 3261262595904.

The previous prime is 14442024200309. The next prime is 14442024200311. The reversal of 14442024200310 is 1300242024441.

14442024200310 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 202 + 420 + 0 + 31 + 0 = 666.

14442024200310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14442024200309) and next prime (14442024200311).

It is a super-2 number, since 2×144420242003102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14442024200311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138043180 + ... + 138147759.

It is an arithmetic number, because the mean of its divisors is an integer number (452400759720).

Almost surely, 214442024200310 is an apocalyptic number.

14442024200310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14442024200310 is an abundant number, since it is smaller than the sum of its proper divisors (28988448732810).

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

14442024200310 is a wasteful number, since it uses less digits than its factorization.

14442024200310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276191042 (or 276191039 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14442024200310 its reverse (1300242024441), we get a palindrome (15742266224751).

The spelling of 14442024200310 in words is "fourteen trillion, four hundred forty-two billion, twenty-four million, two hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 415 498 581 630 747 830 1162 1245 1494 1743 2490 2905 3486 3735 5229 5810 7470 8715 10458 17430 26145 52290 276190939 552381878 828572817 1380954695 1657145634 1933336573 2485718451 2761909390 3866673146 4142864085 4971436902 5800009719 8285728170 9666682865 11600019438 12428592255 17400029157 19333365730 22923847937 24857184510 29000048595 34800058314 45847695874 58000097190 68771543811 87000145785 114619239685 137543087622 160466935559 174000291570 206314631433 229238479370 320933871118 343857719055 412629262866 481400806677 687715438110 802334677795 962801613354 1031573157165 1444202420031 1604669355590 2063146314330 2407004033385 2888404840062 4814008066770 7221012100155 14442024200310