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14022003211000 = 2353191814077349
BaseRepresentation
bin1100110000001100000010…
…0001010011101011111000
31211122111020111211212220021
43030003000201103223320
53314214030310223000
645453341440140224
72645025211511551
oct314030041235370
954574214755807
1014022003211000
114516775294794
1216a5684607674
137a936665b625
14366950807328
15194b2796311a
hexcc0c0853af8

14022003211000 has 128 divisors (see below), whose sum is σ = 34729236360000. Its totient is φ = 5284243008000.

The previous prime is 14022003210979. The next prime is 14022003211001. The reversal of 14022003211000 is 11230022041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022003211001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400326 + ... + 5477674.

Almost surely, 214022003211000 is an apocalyptic number.

14022003211000 is a gapful number since it is divisible by the number (10) 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 14022003211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364618180000).

14022003211000 is an abundant number, since it is smaller than the sum of its proper divisors (20707233149000).

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

14022003211000 is a wasteful number, since it uses less digits than its factorization.

14022003211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077570 (or 4077556 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14022003211000 its reverse (11230022041), we get a palindrome (14033233233041).

The spelling of 14022003211000 in words is "fourteen trillion, twenty-two billion, three million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 181 190 200 250 362 380 475 500 724 760 905 950 1000 1448 1810 1900 2375 3439 3620 3800 4525 4750 6878 7240 9050 9500 13756 17195 18100 19000 22625 27512 34390 36200 45250 68780 85975 90500 137560 171950 181000 343900 429875 687800 859750 1719500 3439000 4077349 8154698 16309396 20386745 32618792 40773490 77469631 81546980 101933725 154939262 163093960 203867450 309878524 387348155 407734900 509668625 619757048 738000169 774696310 815469800 1019337250 1476000338 1549392620 1936740775 2038674500 2952000676 3098785240 3690000845 3873481550 4077349000 5904001352 7380001690 7746963100 9683703875 14022003211 14760003380 15493926200 18450004225 19367407750 28044006422 29520006760 36900008450 38734815500 56088012844 70110016055 73800016900 77469631000 92250021125 112176025688 140220032110 147600033800 184500042250 280440064220 350550080275 369000084500 560880128440 701100160550 738000169000 1402200321100 1752750401375 2804400642200 3505500802750 7011001605500 14022003211000