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42402220402200 = 23352120158842937
BaseRepresentation
bin10011010010000100010010…
…10010001110011000011000
312120010121112122102100110220
421221002021102032120120
521024204221410332300
6230103151112240040
711634313356414441
oct1151021122163030
9176117478370426
1042402220402200
1112568753aa229a
124909a019a0020
131a87687493009
14a683c7d9a2c8
154d7ea44deda0
hex26908948e618

42402220402200 has 96 divisors (see below), whose sum is σ = 131556333345360. Its totient is φ = 11297843712000.

The previous prime is 42402220402159. The next prime is 42402220402237. The reversal of 42402220402200 is 220402220424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28700869 + ... + 30142068.

Almost surely, 242402220402200 is an apocalyptic number.

42402220402200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42402220402200 is an abundant number, since it is smaller than the sum of its proper divisors (89154112943160).

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

42402220402200 is a wasteful number, since it uses less digits than its factorization.

42402220402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58844157 (or 58844148 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42402220402200 its reverse (220402220424), we get a palindrome (42622622622624).

The spelling of 42402220402200 in words is "forty-two trillion, four hundred two billion, two hundred twenty million, four hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1201 2402 3603 4804 6005 7206 9608 12010 14412 18015 24020 28824 30025 36030 48040 60050 72060 90075 120100 144120 180150 240200 360300 720600 58842937 117685874 176528811 235371748 294214685 353057622 470743496 588429370 706115244 882644055 1176858740 1412230488 1471073425 1765288110 2353717480 2942146850 3530576220 4413220275 5884293700 7061152440 8826440550 11768587400 17652881100 35305762200 70670367337 141340734674 212011102011 282681469348 353351836685 424022204022 565362938696 706703673370 848044408044 1060055510055 1413407346740 1696088816088 1766759183425 2120111020110 2826814693480 3533518366850 4240222040220 5300277550275 7067036733700 8480444080440 10600555100550 14134073467400 21201110201100 42402220402200