Search a number
-
+
241463410064464 = 247173137343125447
BaseRepresentation
bin110110111001110000010100…
…110010000111110001010000
31011122221200021012202220010211
4312321300110302013301100
5223122114030434030324
62213314431554133504
7101601104253602110
oct6671602462076120
91148850235686124
10241463410064464
116aa3506a052665
12230b9287581294
13a496b955284c3
14438ac6a029040
151cdb03dc13294
hexdb9c14c87c50

241463410064464 has 320 divisors, whose sum is σ = 587331331817472. Its totient is φ = 93780683366400.

The previous prime is 241463410064417. The next prime is 241463410064501. The reversal of 241463410064464 is 464460014364142.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9488862589 + ... + 9488888035.

Almost surely, 2241463410064464 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 241463410064464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293665665908736).

241463410064464 is an abundant number, since it is smaller than the sum of its proper divisors (345867921753008).

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

241463410064464 is a wasteful number, since it uses less digits than its factorization.

241463410064464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26314 (or 26308 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 49.

The spelling of 241463410064464 in words is "two hundred forty-one trillion, four hundred sixty-three billion, four hundred ten million, sixty-four thousand, four hundred sixty-four".