Search a number
-
+
240542201125220 = 225174969142378157
BaseRepresentation
bin110110101100010110011000…
…011100111001100101100100
31011112200121110120122001210012
4312230112120130321211210
5223012020411442001340
62211331321153345352
7101444412661035341
oct6654263034714544
91145617416561705
10240542201125220
116a70a413681905
1222b8a834568258
13a42b055a90507
144358439d817c8
151cc20c4766565
hexdac598739964

240542201125220 has 48 divisors (see below), whose sum is σ = 534960300616560. Its totient is φ = 90538838913024.

The previous prime is 240542201125217. The next prime is 240542201125267. The reversal of 240542201125220 is 22521102245042.

240542201125220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5897155700836 + 234645045424384 = 2428406^2 + 15318128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69499619 + ... + 72878538.

It is an arithmetic number, because the mean of its divisors is an integer number (11145006262845).

Almost surely, 2240542201125220 is an apocalyptic number.

240542201125220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240542201125220 is an abundant number, since it is smaller than the sum of its proper divisors (294418099491340).

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

240542201125220 is a wasteful number, since it uses less digits than its factorization.

240542201125220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142383152 (or 142383150 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 240542201125220 in words is "two hundred forty trillion, five hundred forty-two billion, two hundred one million, one hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 4969 9938 19876 24845 49690 84473 99380 168946 337892 422365 844730 1689460 142378157 284756314 569512628 711890785 1423781570 2420428669 2847563140 4840857338 9681714676 12102143345 24204286690 48408573380 707477062133 1414954124266 2829908248532 3537385310665 7074770621330 12027110056261 14149541242660 24054220112522 48108440225044 60135550281305 120271100562610 240542201125220