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240252224240240 = 245294721125794049
BaseRepresentation
bin110110101000001000010100…
…011110110111101001110000
31011111122212222120222001000022
4312220020110132313221300
5222442243023401141430
62210550203110343012
7101414436041136452
oct6650102436675160
91144585876861008
10240252224240240
116a60843a248243
1222b425a795aa68
13a4098c26832c4
1443483ac09c2d2
151cb97a1ece4e5
hexda82147b7a70

240252224240240 has 320 divisors, whose sum is σ = 593315953920000. Its totient is φ = 90325121187840.

The previous prime is 240252224240219. The next prime is 240252224240291. The reversal of 240252224240240 is 42042422252042.

It is a super-2 number, since 2×2402522242402402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240252224240240.

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, 59336185736 + ... + 59336189784.

It is an arithmetic number, because the mean of its divisors is an integer number (1854112356000).

Almost surely, 2240252224240240 is an apocalyptic number.

240252224240240 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 240252224240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296657976960000).

240252224240240 is an abundant number, since it is smaller than the sum of its proper divisors (353063729679760).

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

240252224240240 is a wasteful number, since it uses less digits than its factorization.

240252224240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 35.

Adding to 240252224240240 its reverse (42042422252042), we get a palindrome (282294646492282).

The spelling of 240252224240240 in words is "two hundred forty trillion, two hundred fifty-two billion, two hundred twenty-four million, two hundred forty thousand, two hundred forty".