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242163399114 = 23572135314759
BaseRepresentation
bin1110000110001000010…
…0000011100111001010
3212011001210011021200000
43201202010003213022
512431422312232424
6303125350023430
723332014633600
oct3414204034712
9764053137600
10242163399114
1193778a1aa9a
123ab24047b76
1319ab3659750
14ba13b1d870
156474d483c9
hex38621039ca

242163399114 has 288 divisors, whose sum is σ = 694553408640. Its totient is φ = 62657981568.

The previous prime is 242163399103. The next prime is 242163399119. The reversal of 242163399114 is 411993361242.

242163399114 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 633 + 9 + 9 + 1 + 1 + 4 = 666.

It is a super-2 number, since 2×2421633991142 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242163399114.

It is not an unprimeable number, because it can be changed into a prime (242163399119) 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, 16400467 + ... + 16415225.

It is an arithmetic number, because the mean of its divisors is an integer number (2411643780).

Almost surely, 2242163399114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242163399114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347276704320).

242163399114 is an abundant number, since it is smaller than the sum of its proper divisors (452390009526).

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

242163399114 is a wasteful number, since it uses less digits than its factorization.

242163399114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14856 (or 14837 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 242163399114 in words is "two hundred forty-two billion, one hundred sixty-three million, three hundred ninety-nine thousand, one hundred fourteen".