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42040020200 = 2352283374197
BaseRepresentation
bin100111001001110001…
…111100110011101000
311000111211201022010012
4213021301330303220
51142044221121300
631151331311052
73015535163363
oct471161746350
9130454638105
1042040020200
111691354a452
12819314b488
133c6c8cc6c9
14206b4c30da
151160b52435
hex9c9c7cce8

42040020200 has 48 divisors (see below), whose sum is σ = 97778866380. Its totient is φ = 16809845760.

The previous prime is 42040020193. The next prime is 42040020203. The reversal of 42040020200 is 202004024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2192674276 + 39847345924 = 46826^2 + 199618^2 .

It is not an unprimeable number, because it can be changed into a prime (42040020203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529502 + ... + 603698.

Almost surely, 242040020200 is an apocalyptic number.

42040020200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42040020200 is an abundant number, since it is smaller than the sum of its proper divisors (55738846180).

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

42040020200 is a wasteful number, since it uses less digits than its factorization.

42040020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77046 (or 77037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 42040020200 its reverse (202004024), we get a palindrome (42242024224).

The spelling of 42040020200 in words is "forty-two billion, forty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2833 5666 11332 14165 22664 28330 56660 70825 74197 113320 141650 148394 283300 296788 370985 566600 593576 741970 1483940 1854925 2967880 3709850 7419700 14839400 210200101 420400202 840800404 1051000505 1681600808 2102001010 4204002020 5255002525 8408004040 10510005050 21020010100 42040020200