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241216134336960 = 263537431086714533
BaseRepresentation
bin110110110110001010000010…
…000000000101000111000000
31011122002001000010212102022220
4312312022002000011013000
5223104041120342240320
62213005055021131040
7101544201450600546
oct6666120200050700
91148061003772286
10241216134336960
116a94a208383692
12230793773b9a80
13a4797789a1093
14437cccd367d96
151cd48ba175e40
hexdb62820051c0

241216134336960 has 448 divisors, whose sum is σ = 804981725763072. Its totient is φ = 61120492683264.

The previous prime is 241216134336959. The next prime is 241216134336967. The reversal of 241216134336960 is 69633431612142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241216134336967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16597813854 + ... + 16597828386.

Almost surely, 2241216134336960 is an apocalyptic number.

241216134336960 is a gapful number since it is divisible by the number (20) 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 241216134336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402490862881536).

241216134336960 is an abundant number, since it is smaller than the sum of its proper divisors (563765591426112).

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

241216134336960 is a wasteful number, since it uses less digits than its factorization.

241216134336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25500 (or 25490 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 241216134336960 in words is "two hundred forty-one trillion, two hundred sixteen billion, one hundred thirty-four million, three hundred thirty-six thousand, nine hundred sixty".