Search a number
-
+
4123443223240 = 235111713922717471
BaseRepresentation
bin111100000000010000010…
…111100101101011001000
3112121012022211220011202021
4330000100113211223020
51020024302431120430
612434141134414224
7603623524044205
oct74002027455310
915535284804667
104123443223240
11134a819224330
12567198961374
1323baba4605b3
1410380baa4cac
15723d83a507a
hex3c0105e5ac8

4123443223240 has 256 divisors, whose sum is σ = 10841809305600. Its totient is φ = 1394827161600.

The previous prime is 4123443223217. The next prime is 4123443223259. The reversal of 4123443223240 is 423223443214.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 4123443223196 and 4123443223205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236007705 + ... + 236025175.

It is an arithmetic number, because the mean of its divisors is an integer number (42350817600).

Almost surely, 24123443223240 is an apocalyptic number.

4123443223240 is a gapful number since it is divisible by the number (40) 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 4123443223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420904652800).

4123443223240 is an abundant number, since it is smaller than the sum of its proper divisors (6718366082360).

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

4123443223240 is a wasteful number, since it uses less digits than its factorization.

4123443223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17876 (or 17872 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 4123443223240 its reverse (423223443214), we get a palindrome (4546666666454).

The spelling of 4123443223240 in words is "four trillion, one hundred twenty-three billion, four hundred forty-three million, two hundred twenty-three thousand, two hundred forty".