Search a number
-
+
242276414886 = 2321129478811019
BaseRepresentation
bin1110000110100011001…
…1001011010110100110
3212011100122211002011100
43201220303023112212
512432140230234021
6303144504220530
723334556355622
oct3415063132646
9764318732140
10242276414886
11938267a1460
123ab55a6a746
1319b00ba969c
14ba24b3c182
15647ec1e626
hex3868ccb5a6

242276414886 has 192 divisors, whose sum is σ = 606285388800. Its totient is φ = 69230515200.

The previous prime is 242276414879. The next prime is 242276414917. The reversal of 242276414886 is 688414672242.

It is a happy number.

242276414886 is a `hidden beast` number, since 2 + 422 + 76 + 4 + 148 + 8 + 6 = 666.

242276414886 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 2×2422764148862 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 237758485 + ... + 237759503.

It is an arithmetic number, because the mean of its divisors is an integer number (3157736400).

Almost surely, 2242276414886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242276414886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303142694400).

242276414886 is an abundant number, since it is smaller than the sum of its proper divisors (364008973914).

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

242276414886 is a wasteful number, since it uses less digits than its factorization.

242276414886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1992 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 242276414886 in words is "two hundred forty-two billion, two hundred seventy-six million, four hundred fourteen thousand, eight hundred eighty-six".