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242032465521 = 327112511391447
BaseRepresentation
bin1110000101101001000…
…0100101011001110001
3212010201122210011112200
43201122100211121301
512431140302344041
6303104351413413
723325535004160
oct3413220453161
9763648704480
10242032465521
1193711020710
123aaa8224269
1319a924a5052
14ba005993d7
1564685d31b6
hex385a425671

242032465521 has 48 divisors (see below), whose sum is σ = 437604830208. Its totient is φ = 125230140000.

The previous prime is 242032465511. The next prime is 242032465531. The reversal of 242032465521 is 125564230242.

242032465521 is a `hidden beast` number, since 2 + 42 + 0 + 32 + 4 + 65 + 521 = 666.

It is an interprime number because it is at equal distance from previous prime (242032465511) and next prime (242032465531).

It is not a de Polignac number, because 242032465521 - 27 = 242032465393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242032465511) 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 47 ways as a sum of consecutive naturals, for example, 521781 + ... + 869666.

It is an arithmetic number, because the mean of its divisors is an integer number (9116767296).

Almost surely, 2242032465521 is an apocalyptic number.

242032465521 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242032465521 is a deficient number, since it is larger than the sum of its proper divisors (195572364687).

242032465521 is a wasteful number, since it uses less digits than its factorization.

242032465521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391722 (or 1391719 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 242032465521 its reverse (125564230242), we get a palindrome (367596695763).

The spelling of 242032465521 in words is "two hundred forty-two billion, thirty-two million, four hundred sixty-five thousand, five hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 251 693 753 1757 2259 2761 5271 8283 15813 19327 24849 57981 173943 1391447 4174341 9740129 12523023 15305917 29220387 45917751 87661161 107141419 137753253 321424257 349253197 964272771 1047759591 2444772379 3143278773 3841785167 7334317137 11525355501 22002951411 26892496169 34576066503 80677488507 242032465521