Search a number
-
+
241234552431108 = 223329571339139779
BaseRepresentation
bin110110110110011011001011…
…110011100010001000000100
31011122010210112201202112201000
4312312123023303202020010
5223104341330410243413
62213021342400533300
7101545423044035205
oct6666331363421004
91148123481675630
10241234552431108
116a956aa996a3a5
1223080a57621230
13a47b422709a42
14437db595095ac
151cd50e70b9073
hexdb66cbce2204

241234552431108 has 192 divisors, whose sum is σ = 648329730048000. Its totient is φ = 77477933635200.

The previous prime is 241234552431107. The next prime is 241234552431127. The reversal of 241234552431108 is 801134255432142.

241234552431108 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 3 + 4 + 5 + 524 + 3 + 110 + 8 = 666.

It is a super-2 number, since 2×2412345524311082 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241234552431101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6064349563 + ... + 6064389341.

It is an arithmetic number, because the mean of its divisors is an integer number (3376717344000).

Almost surely, 2241234552431108 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 241234552431108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324164865024000).

241234552431108 is an abundant number, since it is smaller than the sum of its proper divisors (407095177616892).

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

241234552431108 is a wasteful number, since it uses less digits than its factorization.

241234552431108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43783 (or 43775 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 241234552431108 in words is "two hundred forty-one trillion, two hundred thirty-four billion, five hundred fifty-two million, four hundred thirty-one thousand, one hundred eight".