Search a number
-
+
42441100040 = 2352843373207
BaseRepresentation
bin100111100001101011…
…111100101100001000
311001112210102021020002
4213201223330230020
51143404410200130
631255220022132
73031505253353
oct474153745410
9131483367202
1042441100040
1116aa9992699
128285531948
134004a2b661
1420a888929a
151185e7ab45
hex9e1afcb08

42441100040 has 32 divisors (see below), whose sum is σ = 95526319680. Its totient is φ = 16970423232.

The previous prime is 42441100007. The next prime is 42441100043. The reversal of 42441100040 is 4000114424.

It is a happy number.

42441100040 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 junction number, because it is equal to n+sod(n) for n = 42441099985 and 42441100021.

It is not an unprimeable number, because it can be changed into a prime (42441100043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72884 + ... + 300323.

It is an arithmetic number, because the mean of its divisors is an integer number (2985197490).

Almost surely, 242441100040 is an apocalyptic number.

42441100040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42441100040 is an abundant number, since it is smaller than the sum of its proper divisors (53085219640).

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

42441100040 is a wasteful number, since it uses less digits than its factorization.

42441100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376061 (or 376057 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42441100040 its reverse (4000114424), we get a palindrome (46441214464).

The spelling of 42441100040 in words is "forty-two billion, four hundred forty-one million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 2843 5686 11372 14215 22744 28430 56860 113720 373207 746414 1492828 1866035 2985656 3732070 7464140 14928280 1061027501 2122055002 4244110004 5305137505 8488220008 10610275010 21220550020 42441100040