Search a number
-
+
42404224240 = 245775721829
BaseRepresentation
bin100111011111011111…
…010001110011110000
311001110020000210010201
4213133133101303300
51143320440133430
631251421404544
73030546646630
oct473737216360
9131406023121
1042404224240
1116a90096324
128275109754
133cca1b9b61
1420a3a0a6c0
151182ae48ca
hex9df7d1cf0

42404224240 has 40 divisors (see below), whose sum is σ = 112674083040. Its totient is φ = 14538590976.

The previous prime is 42404224217. The next prime is 42404224253. The reversal of 42404224240 is 4242240424.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42404224199 and 42404224208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37860355 + ... + 37861474.

It is an arithmetic number, because the mean of its divisors is an integer number (2816852076).

Almost surely, 242404224240 is an apocalyptic number.

42404224240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42404224240 is an abundant number, since it is smaller than the sum of its proper divisors (70269858800).

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

42404224240 is a wasteful number, since it uses less digits than its factorization.

42404224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75721849 (or 75721843 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 42404224240 its reverse (4242240424), we get a palindrome (46646464664).

The spelling of 42404224240 in words is "forty-two billion, four hundred four million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 75721829 151443658 302887316 378609145 530052803 605774632 757218290 1060105606 1211549264 1514436580 2120211212 2650264015 3028873160 4240422424 5300528030 6057746320 8480844848 10601056060 21202112120 42404224240