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242739370500000 = 2535611217151521
BaseRepresentation
bin110111001100010100101001…
…111100111001111110100000
31011211110122202002102221102120
4313030110221330321332200
5223304020212322000000
62220132532150344240
7102062224613420643
oct6714245174717640
91154418662387376
10242739370500000
1170387209499200
122328462405b080
13a55a2bc08308a
1443d29109d9a5a
151d0e31c42e6a0
hexdcc529f39fa0

242739370500000 has 2016 divisors, whose sum is σ = 934895905679232. Its totient is φ = 54912000000000.

The previous prime is 242739370499959. The next prime is 242739370500001. The reversal of 242739370500000 is 5073937242.

It is not an unprimeable number, because it can be changed into a prime (242739370500001) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 465910499740 + ... + 465910500260.

It is an arithmetic number, because the mean of its divisors is an integer number (463738048452).

Almost surely, 2242739370500000 is an apocalyptic number.

242739370500000 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 242739370500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467447952839616).

242739370500000 is an abundant number, since it is smaller than the sum of its proper divisors (692156535179232).

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

242739370500000 is a wasteful number, since it uses less digits than its factorization.

242739370500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 242739370500000 in words is "two hundred forty-two trillion, seven hundred thirty-nine billion, three hundred seventy million, five hundred thousand".