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42440130200 = 23521317339419
BaseRepresentation
bin100111100001101000…
…001111111010011000
311001112201120222212002
4213201220033322120
51143404133131300
631255143140132
73031464104006
oct474150177230
9131481528762
1042440130200
1116aa938aa76
128285144648
13400477c0a0
1420a86b5a76
151185d385d5
hex9e1a0fe98

42440130200 has 96 divisors (see below), whose sum is σ = 106336162800. Its totient is φ = 15659496960.

The previous prime is 42440130181. The next prime is 42440130203. The reversal of 42440130200 is 203104424.

42440130200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42440130203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4501091 + ... + 4510509.

Almost surely, 242440130200 is an apocalyptic number.

42440130200 is a gapful number since it is divisible by the number (40) 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 42440130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53168081400).

42440130200 is an abundant number, since it is smaller than the sum of its proper divisors (63896032600).

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

42440130200 is a wasteful number, since it uses less digits than its factorization.

42440130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11181 (or 11172 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42440130200 its reverse (203104424), we get a palindrome (42643234624).

The spelling of 42440130200 in words is "forty-two billion, four hundred forty million, one hundred thirty 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 1733 2600 3466 6932 8665 9419 13864 17330 18838 22529 34660 37676 43325 45058 47095 69320 75352 86650 90116 94190 112645 122447 173300 180232 188380 225290 235475 244894 346600 376760 450580 470950 489788 563225 612235 901160 941900 979576 1126450 1224470 1883800 2252900 2448940 3061175 4505800 4897880 6122350 12244700 16323127 24489400 32646254 65292508 81615635 130585016 163231270 212200651 326462540 408078175 424401302 652925080 816156350 848802604 1061003255 1632312700 1697605208 2122006510 3264625400 4244013020 5305016275 8488026040 10610032550 21220065100 42440130200