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234140201344 = 2772532333023
BaseRepresentation
bin1101101000001111010…
…1111111000110000000
3211101100122002121102001
43122003311333012000
512314004342420334
6255321301033344
722626132605500
oct3320365770600
9741318077361
10234140201344
1190331048835
12394650b5854
131910538384a
14b492337a00
1561557b9714
hex3683d7f180

234140201344 has 192 divisors, whose sum is σ = 555400722240. Its totient is φ = 97997512704.

The previous prime is 234140201341. The next prime is 234140201353. The reversal of 234140201344 is 443102041432.

234140201344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234140201341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77451417 + ... + 77454439.

It is an arithmetic number, because the mean of its divisors is an integer number (2892712095).

Almost surely, 2234140201344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234140201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277700361120).

234140201344 is an abundant number, since it is smaller than the sum of its proper divisors (321260520896).

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

234140201344 is a wasteful number, since it uses less digits than its factorization.

234140201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 234140201344 its reverse (443102041432), we get a palindrome (677242242776).

The spelling of 234140201344 in words is "two hundred thirty-four billion, one hundred forty million, two hundred one thousand, three hundred forty-four".