Search a number
-
+
104030312040 = 2336517209857
BaseRepresentation
bin110000011100010110…
…0001001011001101000
3100221112001101102000000
41200320230021121220
53201023224441130
6115442454343000
710341653030244
oct1407054113150
9327461342000
10104030312040
11401344431a6
12181b365aa60
139a6b7b5175
14506c425424
152a8ce9b260
hex1838b09668

104030312040 has 224 divisors, whose sum is σ = 371587166280. Its totient is φ = 26109444096.

The previous prime is 104030312033. The next prime is 104030312083. The reversal of 104030312040 is 40213030401.

It can be written as a sum of positive squares in 4 ways, for example, as 100031773284 + 3998538756 = 316278^2 + 63234^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 390792 + ... + 600648.

Almost surely, 2104030312040 is an apocalyptic number.

104030312040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104030312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185793583140).

104030312040 is an abundant number, since it is smaller than the sum of its proper divisors (267556854240).

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

104030312040 is a wasteful number, since it uses less digits than its factorization.

104030312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209903 (or 209884 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 104030312040 its reverse (40213030401), we get a palindrome (144243342441).

The spelling of 104030312040 in words is "one hundred four billion, thirty million, three hundred twelve thousand, forty".