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42422424200 = 23521316316317
BaseRepresentation
bin100111100000100100…
…101101001010001000
311001111111021102210022
4213200210231022020
51143340120033300
631253311440012
73031160441012
oct474044551210
9131444242708
1042422424200
1116a9a397212
12827b226008
134000bbcb70
1420a61c71b2
1511844dc285
hex9e092d288

42422424200 has 48 divisors (see below), whose sum is σ = 106219230180. Its totient is φ = 15663663360.

The previous prime is 42422424181. The next prime is 42422424229. The reversal of 42422424200 is 242422424.

It can be written as a sum of positive squares in 6 ways, for example, as 2592642724 + 39829781476 = 50918^2 + 199574^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42422424200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8155559 + ... + 8160758.

Almost surely, 242422424200 is an apocalyptic number.

42422424200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42422424200 is an abundant number, since it is smaller than the sum of its proper divisors (63796805980).

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

42422424200 is a wasteful number, since it uses less digits than its factorization.

42422424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16316346 (or 16316337 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 42422424200 its reverse (242422424), we get a palindrome (42664846624).

The spelling of 42422424200 in words is "forty-two billion, four hundred twenty-two million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 16316317 32632634 65265268 81581585 130530536 163163170 212112121 326326340 407907925 424224242 652652680 815815850 848448484 1060560605 1631631700 1696896968 2121121210 3263263400 4242242420 5302803025 8484484840 10605606050 21211212100 42422424200