Search a number
-
+
240535224451104 = 25311377724979693
BaseRepresentation
bin110110101100001111111000…
…100111000000000000100000
31011112122221110100210022002120
4312230033320213000000200
5223011412114424413404
62211324205011144240
7101444045044216512
oct6654177047000040
91145587410708076
10240535224451104
116a70746350a330
1222b89407ba5080
13a42a4b356378b
144357d77577bb2
151cc1d170089d9
hexdac3f89c0020

240535224451104 has 192 divisors, whose sum is σ = 707439812688000. Its totient is φ = 70917668536320.

The previous prime is 240535224451103. The next prime is 240535224451111. The reversal of 240535224451104 is 401154422535042.

It is not an unprimeable number, because it can be changed into a prime (240535224451103) 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 31 ways as a sum of consecutive naturals, for example, 3018233082 + ... + 3018312774.

It is an arithmetic number, because the mean of its divisors is an integer number (3684582357750).

Almost surely, 2240535224451104 is an apocalyptic number.

240535224451104 is a gapful number since it is divisible by the number (24) 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 240535224451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353719906344000).

240535224451104 is an abundant number, since it is smaller than the sum of its proper divisors (466904588236896).

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

240535224451104 is a wasteful number, since it uses less digits than its factorization.

240535224451104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157003 (or 156995 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 240535224451104 its reverse (401154422535042), we get a palindrome (641689646986146).

The spelling of 240535224451104 in words is "two hundred forty trillion, five hundred thirty-five billion, two hundred twenty-four million, four hundred fifty-one thousand, one hundred four".