Search a number
-
+
4141734912 = 2103271931109
BaseRepresentation
bin1111011011011101…
…1101110000000000
3101200122101221012100
43312313131300000
531440241004122
61522551430400
7204431110620
oct36667356000
911618357170
104141734912
1118359a0817
12977085400
135100b8623
142b40ca880
15193920aac
hexf6dddc00

4141734912 has 528 divisors, whose sum is σ = 14987315200. Its totient is φ = 1074954240.

The previous prime is 4141734901. The next prime is 4141734917. The reversal of 4141734912 is 2194371414.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (24192) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141734917) 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 47 ways as a sum of consecutive naturals, for example, 37997514 + ... + 37997622.

Almost surely, 24141734912 is an apocalyptic number.

4141734912 is a gapful number since it is divisible by the number (42) 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 4141734912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493657600).

4141734912 is an abundant number, since it is smaller than the sum of its proper divisors (10845580288).

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

4141734912 is a wasteful number, since it uses less digits than its factorization.

4141734912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 4141734912 is about 64356.3121379714. The cubic root of 4141734912 is about 1605.9330388789.

The spelling of 4141734912 in words is "four billion, one hundred forty-one million, seven hundred thirty-four thousand, nine hundred twelve".