Search a number
-
+
241308079423488 = 21634721131741
BaseRepresentation
bin110110110111011111101010…
…010110110000000000000000
31011122101211022221202202120000
4312313133222112300000000
5223112042421313022423
62213115222403320000
7101553635106125400
oct6667375226600000
91148354287682500
10241308079423488
116a9851aaa45000
1223093157680000
13a48533c781a1c
144383532708800
151cd6e9c169843
hexdb77ea5b0000

241308079423488 has 4080 divisors, whose sum is σ = 1000529069224608. Its totient is φ = 57551722905600.

The previous prime is 241308079423427. The next prime is 241308079423519. The reversal of 241308079423488 is 884324970803142.

It is a happy number.

241308079423488 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 0 + 80 + 79 + 4 + 2 + 3 + 488 = 666.

It is a super-2 number, since 2×2413080794234882 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5885562912748 + ... + 5885562912788.

Almost surely, 2241308079423488 is an apocalyptic number.

241308079423488 is a gapful number since it is divisible by the number (28) 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 241308079423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500264534612304).

241308079423488 is an abundant number, since it is smaller than the sum of its proper divisors (759220989801120).

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

241308079423488 is an frugal number, since it uses more digits than its factorization.

241308079423488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 241308079423488 in words is "two hundred forty-one trillion, three hundred eight billion, seventy-nine million, four hundred twenty-three thousand, four hundred eighty-eight".