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14021332400020 = 2251187772671983
BaseRepresentation
bin1100110000001001100010…
…0010010111011110010100
31211122102111202121011020011
43030002120202113132110
53314211142043300040
645453151114250004
72645002454640451
oct314023042273624
954572452534204
1014021332400020
114516460671550
1216a5517a26904
137a928a69c05a
143668c96aa828
15194ad8b093ea
hexcc098897794

14021332400020 has 48 divisors (see below), whose sum is σ = 32158224983808. Its totient is φ = 5092852498560.

The previous prime is 14021332400011. The next prime is 14021332400041. The reversal of 14021332400020 is 2000423312041.

It is a super-2 number, since 2×140213324000202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14021332399964 and 14021332400000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36143052 + ... + 36528931.

It is an arithmetic number, because the mean of its divisors is an integer number (669963020496).

Almost surely, 214021332400020 is an apocalyptic number.

14021332400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14021332400020 is an abundant number, since it is smaller than the sum of its proper divisors (18136892583788).

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

14021332400020 is a wasteful number, since it uses less digits than its factorization.

14021332400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72672880 (or 72672878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14021332400020 its reverse (2000423312041), we get a palindrome (16021755712061).

The spelling of 14021332400020 in words is "fourteen trillion, twenty-one billion, three hundred thirty-two million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 877 1754 3508 4385 8770 9647 17540 19294 38588 48235 96470 192940 72671983 145343966 290687932 363359915 726719830 799391813 1453439660 1598783626 3197567252 3996959065 7993918130 15987836260 63733329091 127466658182 254933316364 318666645455 637333290910 701066620001 1274666581820 1402133240002 2804266480004 3505333100005 7010666200010 14021332400020