Search a number
-
+
4011310000000 = 27573671093
BaseRepresentation
bin111010010111110100101…
…101010010011110000000
3112012110220002110020020001
4322113310231102132000
51011210130330000000
612310434222325344
7562544000265052
oct72276455223600
915173802406201
104011310000000
111307206a14006
12549503729854
1323135a012724
14dc2114678d2
156e523d8146a
hex3a5f4b52780

4011310000000 has 256 divisors, whose sum is σ = 10025458709760. Its totient is φ = 1598688000000.

The previous prime is 4011309999989. The next prime is 4011310000037. The reversal of 4011310000000 is 131104.

It is a happy number.

4011310000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40113100000002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3669999454 + ... + 3670000546.

It is an arithmetic number, because the mean of its divisors is an integer number (39161948085).

Almost surely, 24011310000000 is an apocalyptic number.

4011310000000 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 4011310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012729354880).

4011310000000 is an abundant number, since it is smaller than the sum of its proper divisors (6014148709760).

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

4011310000000 is an frugal number, since it uses more digits than its factorization.

4011310000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 4011310000000 its reverse (131104), we get a palindrome (4011310131104).

The spelling of 4011310000000 in words is "four trillion, eleven billion, three hundred ten million", and thus it is an aban number.