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14022310111000 = 2353233491746893
BaseRepresentation
bin1100110000001101001011…
…0100000010011100011000
31211122112000220100000112221
43030003102310002130120
53314220142342023000
645453432122113424
72645035626230002
oct314032264023430
954575026300487
1014022310111000
114516912551254
1216a574b34b874
137a93b5103c69
1436697d495372
15194b4488661a
hexcc0d2d02718

14022310111000 has 128 divisors (see below), whose sum is σ = 34336948464000. Its totient is φ = 5349682060800.

The previous prime is 14022310110967. The next prime is 14022310111009. The reversal of 14022310111000 is 11101322041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022310111009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7153554 + ... + 8900446.

It is an arithmetic number, because the mean of its divisors is an integer number (268257409875).

Almost surely, 214022310111000 is an apocalyptic number.

14022310111000 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 14022310111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17168474232000).

14022310111000 is an abundant number, since it is smaller than the sum of its proper divisors (20314638353000).

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

14022310111000 is a wasteful number, since it uses less digits than its factorization.

14022310111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747286 (or 1747272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 14022310111000 its reverse (11101322041), we get a palindrome (14033411433041).

The spelling of 14022310111000 in words is "fourteen trillion, twenty-two billion, three hundred ten million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 349 460 500 575 698 920 1000 1150 1396 1745 2300 2792 2875 3490 4600 5750 6980 8027 8725 11500 13960 16054 17450 23000 32108 34900 40135 43625 64216 69800 80270 87250 160540 174500 200675 321080 349000 401350 802700 1003375 1605400 1746893 2006750 3493786 4013500 6987572 8027000 8734465 13975144 17468930 34937860 40178539 43672325 69875720 80357078 87344650 160714156 174689300 200892695 218361625 321428312 349378600 401785390 436723250 609665657 803570780 873446500 1004463475 1219331314 1607141560 1746893000 2008926950 2438662628 3048328285 4017853900 4877325256 5022317375 6096656570 8035707800 10044634750 12193313140 14022310111 15241641425 20089269500 24386626280 28044620222 30483282850 40178539000 56089240444 60966565700 70111550555 76208207125 112178480888 121933131400 140223101110 152416414250 280446202220 304832828500 350557752775 560892404440 609665657000 701115505550 1402231011100 1752788763875 2804462022200 3505577527750 7011155055500 14022310111000