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243115021240 = 2357133115713723
BaseRepresentation
bin1110001001101011001…
…0001101001110111000
3212020112002210200210221
43202122302031032320
512440344421134430
6303404022345424
723364421404250
oct3423262151670
9766462720727
10243115021240
1194117100863
123b14a88b274
1319c05858970
14baa4276960
1564cd67057a
hex389ac8d3b8

243115021240 has 256 divisors, whose sum is σ = 699436523520. Its totient is φ = 73980241920.

The previous prime is 243115021159. The next prime is 243115021243. The reversal of 243115021240 is 42120511342.

243115021240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2431150212402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243115021243) 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 63 ways as a sum of consecutive naturals, for example, 17709019 + ... + 17722741.

It is an arithmetic number, because the mean of its divisors is an integer number (2732173920).

Almost surely, 2243115021240 is an apocalyptic number.

243115021240 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 243115021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349718261760).

243115021240 is an abundant number, since it is smaller than the sum of its proper divisors (456321502280).

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

243115021240 is a wasteful number, since it uses less digits than its factorization.

243115021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 13938 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 243115021240 its reverse (42120511342), we get a palindrome (285235532582).

The spelling of 243115021240 in words is "two hundred forty-three billion, one hundred fifteen million, twenty-one thousand, two hundred forty".