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2042422424020 = 2251161909116741
BaseRepresentation
bin11101101110001001110…
…111001111000111010100
321020020211221010021111201
4131232021313033013110
5231430340120032040
64202135332442244
7300363063105406
oct35561167170724
97206757107451
102042422424020
11718206237950
1228ba03179384
1311a7a4454114
1470bd4a76b76
15381dc4b9a9a
hex1db89dcf1d4

2042422424020 has 96 divisors (see below), whose sum is σ = 4756516313472. Its totient is φ = 730399680000.

The previous prime is 2042422423997. The next prime is 2042422424209. The reversal of 2042422424020 is 204242242402.

It is a self number, because there is not a number n which added to its sum of digits gives 2042422424020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121992850 + ... + 122009590.

It is an arithmetic number, because the mean of its divisors is an integer number (49547044932).

Almost surely, 22042422424020 is an apocalyptic number.

2042422424020 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 2042422424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378258156736).

2042422424020 is an abundant number, since it is smaller than the sum of its proper divisors (2714093889452).

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

2042422424020 is a wasteful number, since it uses less digits than its factorization.

2042422424020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25913 (or 25911 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2042422424020 its reverse (204242242402), we get a palindrome (2246664666422).

It can be divided in two parts, 204242 and 2424020, that added together give a palindrome (2628262).

The spelling of 2042422424020 in words is "two trillion, forty-two billion, four hundred twenty-two million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 9091 13420 16741 18182 33482 36364 45455 66964 83705 90910 100001 167410 181820 184151 200002 334820 368302 400004 500005 554551 736604 920755 1000010 1021201 1109102 1841510 2000020 2042402 2218204 2772755 3683020 4084804 5106005 5545510 6100061 10212010 11091020 11233211 12200122 20424020 22466422 24400244 30500305 44932844 56166055 61000610 112332110 122001220 152192431 224664220 304384862 608769724 760962155 1521924310 1674116741 3043848620 3348233482 6696466964 8370583705 9283738291 16741167410 18567476582 33482334820 37134953164 46418691455 92837382910 102121121201 185674765820 204242242402 408484484804 510605606005 1021211212010 2042422424020