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2042422244020 = 2251967313815783
BaseRepresentation
bin11101101110001001110…
…110100011001010110100
321020020211220210010121001
4131232021312203022310
5231430340043302040
64202135324533044
7300363061425544
oct35561166431264
97206756703531
102042422244020
11718206124694
1228ba030b1184
1311a7a43c0202
1470bd4a2b324
15381dc48159a
hex1db89da32b4

2042422244020 has 96 divisors (see below), whose sum is σ = 4525593166080. Its totient is φ = 772127354880.

The previous prime is 2042422243991. The next prime is 2042422244081. The reversal of 2042422244020 is 204422242402.

It is a self number, because there is not a number n which added to its sum of digits gives 2042422244020.

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, 353174049 + ... + 353179831.

It is an arithmetic number, because the mean of its divisors is an integer number (47141595480).

Almost surely, 22042422244020 is an apocalyptic number.

2042422244020 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 2042422244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262796583040).

2042422244020 is an abundant number, since it is smaller than the sum of its proper divisors (2483170922060).

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

2042422244020 is a wasteful number, since it uses less digits than its factorization.

2042422244020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7865 (or 7863 counting only the distinct ones).

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

Adding to 2042422244020 its reverse (204422242402), we get a palindrome (2246844486422).

The spelling of 2042422244020 in words is "two trillion, forty-two billion, four hundred twenty-two million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 673 1346 1381 2692 2762 3365 5524 5783 6730 6905 11566 12787 13460 13810 23132 25574 26239 27620 28915 51148 52478 57830 63935 104956 109877 115660 127870 131195 219754 255740 262390 439508 524780 549385 929413 1098770 1858826 2197540 3717652 3891959 4647065 7783918 7986323 9294130 15567836 15972646 17658847 18588260 19459795 31945292 35317694 38919590 39931615 70635388 73947221 77839180 79863230 88294235 147894442 151740137 159726460 176588470 295788884 303480274 353176940 369736105 606960548 739472210 758700685 1478944420 1517401370 3034802740 5374795379 10749590758 21499181516 26873976895 53747953790 102121112201 107495907580 204242224402 408484448804 510605561005 1021211122010 2042422244020