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242310593152 = 275335717953
BaseRepresentation
bin1110000110101011010…
…1100011101010000000
3212011110001010111221001
43201222311203222000
512432223002440102
6303152124541344
723335453025665
oct3415265435200
9764401114831
10242310593152
1193844016061
123ab653b1854
1319b07cb5404
14ba294b7a6c
156482c21487
hex386ad63a80

242310593152 has 32 divisors (see below), whose sum is σ = 491836226580. Its totient is φ = 118869344256.

The previous prime is 242310593149. The next prime is 242310593153. The reversal of 242310593152 is 251395013242.

It can be written as a sum of positive squares in 2 ways, for example, as 241536863296 + 773729856 = 491464^2 + 27816^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (242310593153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17852193 + ... + 17865760.

Almost surely, 2242310593152 is an apocalyptic number.

It is an amenable number.

242310593152 is an abundant number, since it is smaller than the sum of its proper divisors (249525633428).

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

242310593152 is an equidigital number, since it uses as much as digits as its factorization.

242310593152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35718020 (or 35718008 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 242310593152 in words is "two hundred forty-two billion, three hundred ten million, five hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 35717953 71435906 142871812 285743624 571487248 1142974496 1893051509 2285948992 3786103018 4571897984 7572206036 15144412072 30288824144 60577648288 121155296576 242310593152