Search a number
-
+
240133330140 = 2235112932033917
BaseRepresentation
bin1101111110100100001…
…1111101010011011100
3211221211022020002120020
43133221003331103130
512413243113031030
6302152110352140
723230504425264
oct3375103752334
9757738202506
10240133330140
1192927006140
123a6581bb650
131984bbb4bc2
14b8a02787a4
1563a69e6510
hex37e90fd4dc

240133330140 has 192 divisors, whose sum is σ = 759221890560. Its totient is φ = 56174863360.

The previous prime is 240133330139. The next prime is 240133330163. The reversal of 240133330140 is 41033331042.

It is a self number, because there is not a number n which added to its sum of digits gives 240133330140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61303462 + ... + 61307378.

It is an arithmetic number, because the mean of its divisors is an integer number (3954280680).

Almost surely, 2240133330140 is an apocalyptic number.

240133330140 is a gapful number since it is divisible by the number (20) 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 240133330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379610945280).

240133330140 is an abundant number, since it is smaller than the sum of its proper divisors (519088560420).

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

240133330140 is a wasteful number, since it uses less digits than its factorization.

240133330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 240133330140 its reverse (41033331042), we get a palindrome (281166661182).

The spelling of 240133330140 in words is "two hundred forty billion, one hundred thirty-three million, three hundred thirty thousand, one hundred forty".