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242422278912 = 283211291931709
BaseRepresentation
bin1110000111000101111…
…1100110101100000000
3212011201211021201222200
43201301133212230000
512432440100411122
6303211154433200
723341310241312
oct3416137465400
9764654251880
10242422278912
11938a1069240
123ab96892800
1319b2518ab68
14ba3a26b7b2
15648c9335ac
hex38717e6b00

242422278912 has 432 divisors, whose sum is σ = 793349575200. Its totient is φ = 70519357440.

The previous prime is 242422278907. The next prime is 242422278913. The reversal of 242422278912 is 219872224242.

It is a super-2 number, since 2×2424222789122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242422278913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141849514 + ... + 141851222.

It is an arithmetic number, because the mean of its divisors is an integer number (1836457350).

Almost surely, 2242422278912 is an apocalyptic number.

242422278912 is a gapful number since it is divisible by the number (22) 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 242422278912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396674787600).

242422278912 is an abundant number, since it is smaller than the sum of its proper divisors (550927296288).

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

242422278912 is a wasteful number, since it uses less digits than its factorization.

242422278912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1947 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 242422278912 in words is "two hundred forty-two billion, four hundred twenty-two million, two hundred seventy-eight thousand, nine hundred twelve".