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14022314432240 = 2452311579658159
BaseRepresentation
bin1100110000001101001100…
…0100100001011011110000
31211122112001012110120011212
43030003103010201123300
53314220144443312430
645453432354455252
72645036011035242
oct314032304413360
954575035416155
1014022314432240
114516914a32924
1216a5750894528
137a93b5c87aca
1436697dc9c092
15194b44e3bb95
hexcc0d31216f0

14022314432240 has 80 divisors (see below), whose sum is σ = 34022343859200. Its totient is φ = 5364587940096.

The previous prime is 14022314432173. The next prime is 14022314432279. The reversal of 14022314432240 is 4223441322041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14022314432197 and 14022314432206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20976281 + ... + 21634439.

It is an arithmetic number, because the mean of its divisors is an integer number (425279298240).

Almost surely, 214022314432240 is an apocalyptic number.

14022314432240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14022314432240 is an abundant number, since it is smaller than the sum of its proper divisors (20000029426960).

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

14022314432240 is a wasteful number, since it uses less digits than its factorization.

14022314432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669774 (or 669768 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14022314432240 its reverse (4223441322041), we get a palindrome (18245755754281).

The spelling of 14022314432240 in words is "fourteen trillion, twenty-two billion, three hundred fourteen million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 11579 23158 46316 57895 92632 115790 185264 231580 266317 463160 532634 658159 926320 1065268 1316318 1331585 2130536 2632636 2663170 3290795 4261072 5265272 5326340 6581590 10530544 10652680 13163180 15137657 21305360 26326360 30275314 52652720 60550628 75688285 121101256 151376570 242202512 302753140 605506280 1211012560 7620823061 15241646122 30483292244 38104115305 60966584488 76208230610 121933168976 152416461220 175278930403 304832922440 350557860806 609665844880 701115721612 876394652015 1402231443224 1752789304030 2804462886448 3505578608060 7011157216120 14022314432240