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42441020300 = 2252782173849
BaseRepresentation
bin100111100001101011…
…101001001110001100
311001112210021012211202
4213201223221032030
51143404400122200
631255214205032
73031504502030
oct474153511614
9131483235752
1042441020300
1116aa9938798
1282854b3778
134004a01283
1420a88681c0
151185e621d5
hex9e1ae938c

42441020300 has 72 divisors (see below), whose sum is σ = 105383359200. Its totient is φ = 14533286400.

The previous prime is 42441020299. The next prime is 42441020381. The reversal of 42441020300 is 302014424.

42441020300 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537776 + ... + 611624.

Almost surely, 242441020300 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 42441020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52691679600).

42441020300 is an abundant number, since it is smaller than the sum of its proper divisors (62942338900).

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

42441020300 is a wasteful number, since it uses less digits than its factorization.

42441020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74691 (or 74684 counting only the distinct ones).

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

Adding to 42441020300 its reverse (302014424), we get a palindrome (42743034724).

The spelling of 42441020300 in words is "forty-two billion, four hundred forty-one million, twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 821 1642 3284 4105 5747 8210 11494 16420 20525 22988 28735 41050 57470 73849 82100 114940 143675 147698 287350 295396 369245 516943 574700 738490 1033886 1476980 1846225 2067772 2584715 3692450 5169430 7384900 10338860 12923575 25847150 51694300 60630029 121260058 242520116 303150145 424410203 606300290 848820406 1212600580 1515750725 1697640812 2122051015 3031501450 4244102030 6063002900 8488204060 10610255075 21220510150 42441020300