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14441342402322 = 232112923331078027
BaseRepresentation
bin1101001000100110001100…
…0101010111111100010010
31220010120121222111222001100
43102021203011113330102
53343101332123333242
650414132222245230
73020231633024553
oct322114305277422
956116558458040
1014441342402322
1146685a2334830
1217529b4426816
13809a747a7934
1437cd711da32a
151a09bc09754c
hexd2263157f12

14441342402322 has 96 divisors (see below), whose sum is σ = 35326287622080. Its totient is φ = 4223447141760.

The previous prime is 14441342402257. The next prime is 14441342402327. The reversal of 14441342402322 is 22320424314441.

14441342402322 is a `hidden beast` number, since 1 + 4 + 4 + 41 + 342 + 40 + 232 + 2 = 666.

It is a super-2 number, since 2×144413424023222 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14441342402327) 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, 12857073 + ... + 13935099.

It is an arithmetic number, because the mean of its divisors is an integer number (367982162730).

Almost surely, 214441342402322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14441342402322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17663143811040).

14441342402322 is an abundant number, since it is smaller than the sum of its proper divisors (20884945219758).

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

14441342402322 is a wasteful number, since it uses less digits than its factorization.

14441342402322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080408 (or 1080405 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14441342402322 its reverse (22320424314441), we get a palindrome (36761766716763).

The spelling of 14441342402322 in words is "fourteen trillion, four hundred forty-one billion, three hundred forty-two million, four hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2333 2871 4666 5742 6999 13998 20997 25663 41994 51326 67657 76989 135314 153978 202971 230967 405942 461934 608913 744227 1078027 1217826 1488454 2156054 2232681 3234081 4465362 6468162 6698043 9702243 11858297 13396086 19404486 23716594 31262783 35574891 62525566 71149782 93788349 106724673 187576698 213449346 281365047 343890613 562730094 687781226 1031671839 2063343678 2515036991 3095015517 5030073982 6190031034 7545110973 15090221946 22635332919 27665406901 45270665838 55330813802 72936072739 82996220703 145872145478 165992441406 218808218217 248988662109 437616436434 497977324218 656424654651 802296800129 1312849309302 1604593600258 2406890400387 4813780800774 7220671201161 14441342402322