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242158788880 = 24517178057933
BaseRepresentation
bin1110000110000111001…
…0011110000100010000
3212011001110111001121121
43201201302132010100
512431420122221010
6303125103132024
723331630512641
oct3414162360420
9764043431547
10242158788880
1193776361288
123ab225a4014
1319ab27041b8
14ba1327d6c8
1564747373da
hex3861c9e110

242158788880 has 40 divisors (see below), whose sum is σ = 596137963032. Its totient is φ = 91165661184.

The previous prime is 242158788821. The next prime is 242158788887. The reversal of 242158788880 is 88887851242.

It can be written as a sum of positive squares in 4 ways, for example, as 1493977104 + 240664811776 = 38652^2 + 490576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (242158788887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89027607 + ... + 89030326.

Almost surely, 2242158788880 is an apocalyptic number.

242158788880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242158788880 is an abundant number, since it is smaller than the sum of its proper divisors (353979174152).

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

242158788880 is a wasteful number, since it uses less digits than its factorization.

242158788880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178057963 (or 178057957 counting only the distinct ones).

The product of its (nonzero) digits is 18350080, while the sum is 61.

The spelling of 242158788880 in words is "two hundred forty-two billion, one hundred fifty-eight million, seven hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 178057933 356115866 712231732 890289665 1424463464 1780579330 2848926928 3026984861 3561158660 6053969722 7122317320 12107939444 14244634640 15134924305 24215878888 30269848610 48431757776 60539697220 121079394440 242158788880