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42204410300 = 225213157206783
BaseRepresentation
bin100111010011100101…
…000011000110111100
311000221022001011221102
4213103211003012330
51142413312112200
631215522552232
73022602365663
oct472345030674
9130838034842
1042204410300
1116998320138
12821a208678
133c97999460
142085275dda
1511702c56d5
hex9d39431bc

42204410300 has 72 divisors (see below), whose sum is σ = 99257147136. Its totient is φ = 15483836160.

The previous prime is 42204410279. The next prime is 42204410323. The reversal of 42204410300 is 301440224.

42204410300 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100709 + ... + 307491.

It is an arithmetic number, because the mean of its divisors is an integer number (1378571488).

Almost surely, 242204410300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42204410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49628573568).

42204410300 is an abundant number, since it is smaller than the sum of its proper divisors (57052736836).

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

42204410300 is a wasteful number, since it uses less digits than its factorization.

42204410300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206967 (or 206960 counting only the distinct ones).

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

Adding to 42204410300 its reverse (301440224), we get a palindrome (42505850524).

The spelling of 42204410300 in words is "forty-two billion, two hundred four million, four hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 157 260 314 325 628 650 785 1300 1570 2041 3140 3925 4082 7850 8164 10205 15700 20410 40820 51025 102050 204100 206783 413566 827132 1033915 2067830 2688179 4135660 5169575 5376358 10339150 10752716 13440895 20678300 26881790 32464931 53763580 64929862 67204475 129859724 134408950 162324655 268817900 324649310 422044103 649298620 811623275 844088206 1623246550 1688176412 2110220515 3246493100 4220441030 8440882060 10551102575 21102205150 42204410300