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14022111400020 = 223554933584879
BaseRepresentation
bin1100110000001100011011…
…1110000001000001010100
31211122111112001102110100000
43030003012332001001110
53314214241004300040
645453400303051300
72645030664221463
oct314030676010124
954574461373300
1014022111400020
1145168203697a9
1216a56b48a0b30
137a9382bab5b9
14366960d2a9da
15194b321d4130
hexcc0c6f81054

14022111400020 has 144 divisors (see below), whose sum is σ = 44118078600960. Its totient is φ = 3738465311616.

The previous prime is 14022111400013. The next prime is 14022111400081. The reversal of 14022111400020 is 2000411122041.

14022111400020 is a `hidden beast` number, since 1 + 40 + 221 + 1 + 1 + 400 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×140221114000202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14022111399966 and 14022111400002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23681941 + ... + 24266819.

It is an arithmetic number, because the mean of its divisors is an integer number (306375545840).

Almost surely, 214022111400020 is an apocalyptic number.

14022111400020 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 14022111400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22059039300480).

14022111400020 is an abundant number, since it is smaller than the sum of its proper divisors (30095967200940).

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

14022111400020 is a wasteful number, since it uses less digits than its factorization.

14022111400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589836 (or 589822 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14022111400020 its reverse (2000411122041), we get a palindrome (16022522522061).

The spelling of 14022111400020 in words is "fourteen trillion, twenty-two billion, one hundred eleven million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 4933 9866 14799 19732 24665 29598 44397 49330 59196 73995 88794 98660 133191 147990 177588 221985 266382 295980 399573 443970 532764 584879 665955 799146 887940 1169758 1198719 1331910 1598292 1754637 1997865 2339516 2397438 2663820 2924395 3509274 3995730 4794876 5263911 5848790 5993595 7018548 7991460 8773185 10527822 11697580 11987190 15791733 17546370 21055644 23974380 26319555 31583466 35092740 47375199 52639110 63166932 78958665 94750398 105278220 142125597 157917330 189500796 236875995 284251194 315834660 473751990 568502388 710627985 947503980 1421255970 2842511940 2885208107 5770416214 8655624321 11540832428 14426040535 17311248642 25966872963 28852081070 34622497284 43278121605 51933745926 57704162140 77900618889 86556243210 103867491852 129834364815 155801237778 173112486420 233701856667 259668729630 311602475556 389503094445 467403713334 519337459260 701105570001 779006188890 934807426668 1168509283335 1402211140002 1558012377780 2337018566670 2804422280004 3505527850005 4674037133340 7011055700010 14022111400020