Search a number
-
+
2234042330040 = 2333517390713183
BaseRepresentation
bin100000100000100111010…
…011001010101110111000
321220120110020210002012000
4200200213103022232320
5243100304314030130
64430145504221000
7320255436325503
oct40404723125670
97816406702160
102234042330040
117914a7721444
12300b8030a760
1313289156b2b1
147a1b1bcc13a
153d1a4db3260
hex208274cabb8

2234042330040 has 256 divisors, whose sum is σ = 7498679500800. Its totient is φ = 591603098112.

The previous prime is 2234042330011. The next prime is 2234042330059. The reversal of 2234042330040 is 400332404322.

2234042330040 is a `hidden beast` number, since 2 + 23 + 404 + 233 + 0 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2234042329986 and 2234042330013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169457289 + ... + 169470471.

It is an arithmetic number, because the mean of its divisors is an integer number (29291716800).

Almost surely, 22234042330040 is an apocalyptic number.

2234042330040 is a gapful number since it is divisible by the number (20) 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 2234042330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749339750400).

2234042330040 is an abundant number, since it is smaller than the sum of its proper divisors (5264637170760).

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

2234042330040 is a wasteful number, since it uses less digits than its factorization.

2234042330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14283 (or 14273 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 2234042330040 its reverse (400332404322), we get a palindrome (2634374734362).

The spelling of 2234042330040 in words is "two trillion, two hundred thirty-four billion, forty-two million, three hundred thirty thousand, forty".