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242135670150 = 2325211535571657
BaseRepresentation
bin1110000110000001101…
…0010001110110000110
3212010222211222111200100
43201200122101312012
512431343212421100
6303122515424530
723331230144253
oct3414032216606
9763884874610
10242135670150
11937643008a0
123ab168b5146
1319aaa99b38a
14ba1018242a
1564726bc400
hex3860691d86

242135670150 has 288 divisors, whose sum is σ = 724803082848. Its totient is φ = 57453926400.

The previous prime is 242135670107. The next prime is 242135670151. The reversal of 242135670150 is 51076531242.

242135670150 is a `hidden beast` number, since 2 + 42 + 1 + 3 + 567 + 0 + 1 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242135670151) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146128122 + ... + 146129778.

It is an arithmetic number, because the mean of its divisors is an integer number (2516677371).

Almost surely, 2242135670150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242135670150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362401541424).

242135670150 is an abundant number, since it is smaller than the sum of its proper divisors (482667412698).

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

242135670150 is a wasteful number, since it uses less digits than its factorization.

242135670150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 242135670150 in words is "two hundred forty-two billion, one hundred thirty-five million, six hundred seventy thousand, one hundred fifty".