Search a number
-
+
4076542240000 = 2854103247363
BaseRepresentation
bin111011010100100100110…
…110100010010100000000
3112102201021020102100220221
4323110210312202110000
51013242224303140000
612400423155512424
7600343342212556
oct73244466422400
915381236370827
104076542240000
11133194090145a
1255a0898b8714
132375547631c9
1410143cb93bd6
1571090b1261a
hex3b524da2500

4076542240000 has 180 divisors, whose sum is σ = 10266957596896. Its totient is φ = 1614779136000.

The previous prime is 4076542239983. The next prime is 4076542240007. The reversal of 4076542240000 is 422456704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4076542240007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 16356319 + ... + 16603681.

Almost surely, 24076542240000 is an apocalyptic number.

4076542240000 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 4076542240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133478798448).

4076542240000 is an abundant number, since it is smaller than the sum of its proper divisors (6190415356896).

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

4076542240000 is an equidigital number, since it uses as much as digits as its factorization.

4076542240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247502 (or 247473 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

Adding to 4076542240000 its reverse (422456704), we get a palindrome (4076964696704).

The spelling of 4076542240000 in words is "four trillion, seventy-six billion, five hundred forty-two million, two hundred forty thousand".