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14430102242535 = 335788319938677
BaseRepresentation
bin1101000111111100010100…
…0111100100010011100111
31220002111121122011200112000
43101333011013210103213
53342410322133230120
650405033014500343
73016353246162450
oct321770507442347
956074548150460
1014430102242535
114663854584381
1217507980646b3
138089a2ba4805
1437c5c6492127
151a05603b9990
hexd1fc51e44e7

14430102242535 has 128 divisors (see below), whose sum is σ = 29369617704960. Its totient is φ = 6585082334208.

The previous prime is 14430102242443. The next prime is 14430102242537. The reversal of 14430102242535 is 53524220103441.

It is a happy number.

14430102242535 is a `hidden beast` number, since 1 + 44 + 30 + 10 + 2 + 2 + 42 + 535 = 666.

It is not a de Polignac number, because 14430102242535 - 216 = 14430102176999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14430102242535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14430102242537) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1663024617 + ... + 1663033293.

It is an arithmetic number, because the mean of its divisors is an integer number (229450138320).

Almost surely, 214430102242535 is an apocalyptic number.

14430102242535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14430102242535 is an abundant number, since it is smaller than the sum of its proper divisors (14939515462425).

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

14430102242535 is a wasteful number, since it uses less digits than its factorization.

14430102242535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11574 (or 11568 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 14430102242535 its reverse (53524220103441), we get a palindrome (67954322345976).

The spelling of 14430102242535 in words is "fourteen trillion, four hundred thirty billion, one hundred two million, two hundred forty-two thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 883 945 1993 2649 4415 5979 6181 7947 8677 9965 13245 13951 17937 18543 23841 26031 29895 30905 39735 41853 43385 53811 55629 60739 69755 78093 89685 92715 119205 125559 130155 166887 182217 209265 234279 269055 278145 303695 376677 390465 546651 627795 834435 911085 1171395 1639953 1759819 1883385 2733255 5279457 7661791 8199765 8799095 12318733 15838371 17293261 22985373 26397285 36956199 38308955 47515113 51879783 53632537 61593665 68956119 79191855 86466305 110868597 114926865 121052827 155639349 160897611 184780995 206868357 237575565 259398915 268162685 332605791 344780595 363158481 466918047 482692833 554342985 605264135 778196745 804488055 1034341785 1089475443 1448078499 1663028955 1815792405 2334590235 2413464165 3268426329 5447377215 7240392495 15269949463 16342131645 45809848389 76349747315 106889646241 137429545167 229049241945 320668938723 412288635501 534448231205 687147725835 962006816169 1603344693615 2061443177505 2886020448507 4810034080845 14430102242535