Search a number
-
+
42243206621220 = 2232511374327133261
BaseRepresentation
bin10011001101011100000110…
…10100110010100000100100
312112120102002200221022122100
421212232003110302200210
521014103041343334340
6225502132231132100
711616654016524363
oct1146560324624044
9175512080838570
1042243206621220
1112507274950080
1248a3024514030
131a75695649a57
14a608214477da
154d3c99410830
hex266b83532824

42243206621220 has 288 divisors, whose sum is σ = 143598883873536. Its totient is φ = 9961622092800.

The previous prime is 42243206621129. The next prime is 42243206621279. The reversal of 42243206621220 is 2212660234224.

42243206621220 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 3 + 2 + 0 + 6 + 621 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 316929390 + ... + 317062650.

It is an arithmetic number, because the mean of its divisors is an integer number (498607235672).

Almost surely, 242243206621220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42243206621220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71799441936768).

42243206621220 is an abundant number, since it is smaller than the sum of its proper divisors (101355677252316).

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

42243206621220 is a wasteful number, since it uses less digits than its factorization.

42243206621220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137651 (or 137646 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 42243206621220 its reverse (2212660234224), we get a palindrome (44455866855444).

The spelling of 42243206621220 in words is "forty-two trillion, two hundred forty-three billion, two hundred six million, six hundred twenty-one thousand, two hundred twenty".