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14439668041368 = 23322309729711903
BaseRepresentation
bin1101001000011111111101…
…0010001100011010011000
31220010102022021220121121200
43102013333102030122120
53343034420004310433
650413254131034200
73020142302136003
oct322077722143230
956112267817550
1014439668041368
114667913193649
12175260773b960
138098689373cb
1437cc52aaa53a
151a09200aa613
hexd21ff48c698

14439668041368 has 96 divisors (see below), whose sum is σ = 39133020326400. Its totient is φ = 4810074660864.

The previous prime is 14439668041363. The next prime is 14439668041417. The reversal of 14439668041368 is 86314086693441.

14439668041368 is a `hidden beast` number, since 1 + 4 + 439 + 6 + 68 + 0 + 4 + 136 + 8 = 666.

14439668041368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144396680413682 (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 (14439668041361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213105705 + ... + 1213117607.

It is an arithmetic number, because the mean of its divisors is an integer number (407635628400).

Almost surely, 214439668041368 is an apocalyptic number.

14439668041368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14439668041368 is an abundant number, since it is smaller than the sum of its proper divisors (24693352285032).

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

14439668041368 is a wasteful number, since it uses less digits than its factorization.

14439668041368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21521 (or 21514 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 14439668041368 in words is "fourteen trillion, four hundred thirty-nine billion, six hundred sixty-eight million, forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2309 4618 6927 7297 9236 11903 13854 14594 18472 20781 21891 23806 27708 29188 35709 41562 43782 47612 55416 58376 65673 71418 83124 87564 95224 107127 131346 142836 166248 175128 214254 262692 285672 428508 525384 857016 16848773 27484027 33697546 50546319 54968054 67395092 82452081 86856191 101092638 109936108 134790184 151638957 164904162 173712382 202185276 219872216 247356243 260568573 303277914 329808324 347424764 404370552 494712486 521137146 606555828 659616648 694849528 781705719 989424972 1042274292 1213111656 1563411438 1978849944 2084548584 3126822876 6253645752 200550945019 401101890038 601652835057 802203780076 1203305670114 1604407560152 1804958505171 2406611340228 3609917010342 4813222680456 7219834020684 14439668041368