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14021321200020 = 223252711381208139
BaseRepresentation
bin1100110000001001011111…
…0111101001000110010100
31211122102110222112010201100
43030002113313221012110
53314211131211400040
645453150034230100
72645002260512421
oct314022767510624
954572428463640
1014021321200020
114516455311852
1216a5514125330
137a928827a234
143668c7dd2d48
15194ad7b45b30
hexcc097de9194

14021321200020 has 144 divisors (see below), whose sum is σ = 42719399573760. Its totient is φ = 3722506502400.

The previous prime is 14021321199971. The next prime is 14021321200027. The reversal of 14021321200020 is 2000212312041.

It is a happy number.

14021321200020 is a `hidden beast` number, since 140 + 2 + 1 + 321 + 200 + 0 + 2 + 0 = 666.

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 = 14021321199966 and 14021321200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021321200027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67261111 + ... + 67469249.

It is an arithmetic number, because the mean of its divisors is an integer number (296662497040).

Almost surely, 214021321200020 is an apocalyptic number.

14021321200020 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 14021321200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359699786880).

14021321200020 is an abundant number, since it is smaller than the sum of its proper divisors (28698078373740).

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

14021321200020 is a wasteful number, since it uses less digits than its factorization.

14021321200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209806 (or 209801 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14021321200020 its reverse (2000212312041), we get a palindrome (16021533512061).

The spelling of 14021321200020 in words is "fourteen trillion, twenty-one billion, three hundred twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 542 813 1084 1355 1381 1626 2439 2710 2762 3252 4065 4143 4878 5420 5524 6905 8130 8286 9756 12195 12429 13810 16260 16572 20715 24390 24858 27620 41430 48780 49716 62145 82860 124290 208139 248580 374251 416278 624417 748502 832556 1040695 1122753 1248834 1497004 1871255 1873251 2081390 2245506 2497668 3122085 3368259 3742510 3746502 4162780 4491012 5613765 6244170 6736518 7485020 7493004 9366255 11227530 12488340 13473036 16841295 18732510 22455060 33682590 37465020 56405669 67365180 112811338 169217007 225622676 282028345 287439959 338434014 507651021 564056690 574879918 676868028 846085035 862319877 1015302042 1128113380 1149759836 1437199795 1692170070 1724639754 2030604084 2538255105 2586959631 2874399590 3384340140 3449279508 4311599385 5076510210 5173919262 5748799180 8623198770 10153020420 10347838524 12934798155 17246397540 25869596310 51739192620 77896228889 155792457778 233688686667 311584915556 389481144445 467377373334 701066060001 778962288890 934754746668 1168443433335 1402132120002 1557924577780 2336886866670 2804264240004 3505330300005 4673773733340 7010660600010 14021321200020