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14142021404 = 22717198771783
BaseRepresentation
bin11010010101110111…
…00001111100011100
31100111120201010022112
431022323201330130
5212430324141104
610255144333152
71010311125050
oct151273417434
940446633275
1014142021404
115aa7890aa5
1228a81741b8
131444b76304
149822c5c60
1557b83886e
hex34aee1f1c

14142021404 has 96 divisors (see below), whose sum is σ = 31577656320. Its totient is φ = 5394926592.

The previous prime is 14142021389. The next prime is 14142021469. The reversal of 14142021404 is 40412024141.

It is a self number, because there is not a number n which added to its sum of digits gives 14142021404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7930697 + ... + 7932479.

It is an arithmetic number, because the mean of its divisors is an integer number (328933920).

Almost surely, 214142021404 is an apocalyptic number.

14142021404 is a gapful number since it is divisible by the number (14) 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 14142021404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788828160).

14142021404 is an abundant number, since it is smaller than the sum of its proper divisors (17435634916).

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

14142021404 is a wasteful number, since it uses less digits than its factorization.

14142021404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 14142021404 its reverse (40412024141), we get a palindrome (54554045545).

The spelling of 14142021404 in words is "fourteen billion, one hundred forty-two million, twenty-one thousand, four hundred four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 877 1292 1754 1783 2261 3508 3566 4522 6139 7132 9044 12278 12481 14909 16663 24556 24962 29818 30311 33326 33877 49924 59636 60622 66652 67754 104363 116641 121244 135508 208726 212177 233282 237139 283271 417452 424354 466564 474278 566542 575909 848708 948556 1133084 1151818 1563691 1982897 2303636 3127382 3965794 4031363 6254764 7931588 8062726 10945837 16125452 21891674 26582747 29710129 43783348 53165494 59420258 106330988 118840516 186079229 207970903 372158458 415941806 505072193 744316916 831883612 1010144386 2020288772 3535505351 7071010702 14142021404