Search a number
-
+
40334310300 = 22352439306259
BaseRepresentation
bin100101100100000111…
…001011101110011100
310212002222010021000110
4211210013023232130
51130101040412200
630310200130020
72625343660254
oct454407135634
9125088107013
1040334310300
1116118737349
127997a66910
133a5a4041cb
141d48b52964
1510b1021b50
hex9641cbb9c

40334310300 has 72 divisors (see below), whose sum is σ = 116966819200. Its totient is φ = 10731280320.

The previous prime is 40334310299. The next prime is 40334310311. The reversal of 40334310300 is 301343304.

40334310300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 21430 + ... + 284829.

Almost surely, 240334310300 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 40334310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58483409600).

40334310300 is an abundant number, since it is smaller than the sum of its proper divisors (76632508900).

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

40334310300 is a wasteful number, since it uses less digits than its factorization.

40334310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306715 (or 306708 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 40334310300 its reverse (301343304), we get a palindrome (40635653604).

The spelling of 40334310300 in words is "forty billion, three hundred thirty-four million, three hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 439 878 1317 1756 2195 2634 4390 5268 6585 8780 10975 13170 21950 26340 32925 43900 65850 131700 306259 612518 918777 1225036 1531295 1837554 3062590 3675108 4593885 6125180 7656475 9187770 15312950 18375540 22969425 30625900 45938850 91877700 134447701 268895402 403343103 537790804 672238505 806686206 1344477010 1613372412 2016715515 2688954020 3361192525 4033431030 6722385050 8066862060 10083577575 13444770100 20167155150 40334310300