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20340142020 = 223251117096011
BaseRepresentation
bin10010111100010111…
…011110111111000100
31221111112120021101100
4102330113132333010
5313124034021040
613202155500100
71320022232412
oct227427367704
957445507340
1020340142020
118698530830
123b37a57630
131bc1cbbac3
14dad5482b2
157e0a58b30
hex4bc5defc4

20340142020 has 144 divisors (see below), whose sum is σ = 67357967040. Its totient is φ = 4927238400.

The previous prime is 20340142019. The next prime is 20340142027. The reversal of 20340142020 is 2024104302.

20340142020 is a `hidden beast` number, since 203 + 40 + 1 + 420 + 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 = 20340141984 and 20340142002.

It is not an unprimeable number, because it can be changed into a prime (20340142027) 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, 3380815 + ... + 3386825.

It is an arithmetic number, because the mean of its divisors is an integer number (467763660).

Almost surely, 220340142020 is an apocalyptic number.

20340142020 is a gapful number since it is divisible by the number (20) 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 20340142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33678983520).

20340142020 is an abundant number, since it is smaller than the sum of its proper divisors (47017825020).

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

20340142020 is a wasteful number, since it uses less digits than its factorization.

20340142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20340142020 its reverse (2024104302), we get a palindrome (22364246322).

The spelling of 20340142020 in words is "twenty billion, three hundred forty million, one hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1709 1980 3418 5127 6011 6836 8545 10254 12022 15381 17090 18033 18799 20508 24044 25635 30055 30762 34180 36066 37598 51270 54099 56397 60110 61524 66121 72132 75196 76905 90165 93995 102540 108198 112794 120220 132242 153810 169191 180330 187990 198363 216396 225588 264484 270495 281985 307620 330605 338382 360660 375980 396726 540990 563970 595089 661210 676764 793452 845955 991815 1081980 1127940 1190178 1322420 1691910 1983630 2380356 2975445 3383820 3967260 5950890 10272799 11901780 20545598 30818397 41091196 51363995 61636794 92455191 102727990 113000789 123273588 154091985 184910382 205455980 226001578 308183970 339002367 369820764 452003156 462275955 565003945 616367940 678004734 924551910 1017007101 1130007890 1356009468 1695011835 1849103820 2034014202 2260015780 3390023670 4068028404 5085035505 6780047340 10170071010 20340142020