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242332014024 = 233222764123131
BaseRepresentation
bin1110000110110000011…
…1010001010111001000
3212011111112102210211200
43201230013101113020
512432243443422044
6303154212024200
723336133063342
oct3415407212710
9764445383750
10242332014024
1193855116961
123ab70602060
1319b0c575499
14ba2c292292
156484a53369
hex386c1d15c8

242332014024 has 96 divisors (see below), whose sum is σ = 660264078240. Its totient is φ = 80292556800.

The previous prime is 242332013981. The next prime is 242332014047. The reversal of 242332014024 is 420410233242.

242332014024 is a `hidden beast` number, since 2 + 4 + 233 + 20 + 1 + 402 + 4 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10464939 + ... + 10488069.

It is an arithmetic number, because the mean of its divisors is an integer number (6877750815).

Almost surely, 2242332014024 is an apocalyptic number.

242332014024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242332014024 is an abundant number, since it is smaller than the sum of its proper divisors (417932064216).

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

242332014024 is a wasteful number, since it uses less digits than its factorization.

242332014024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24011 (or 24004 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242332014024 its reverse (420410233242), we get a palindrome (662742247266).

The spelling of 242332014024 in words is "two hundred forty-two billion, three hundred thirty-two million, fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 227 454 641 681 908 1282 1362 1816 1923 2043 2564 2724 3846 4086 5128 5448 5769 7692 8172 11538 15384 16344 23076 23131 46152 46262 69393 92524 138786 145507 185048 208179 277572 291014 416358 436521 555144 582028 832716 873042 1164056 1309563 1665432 1746084 2619126 3492168 5238252 5250737 10476504 10501474 14826971 15752211 21002948 29653942 31504422 42005896 44480913 47256633 59307884 63008844 88961826 94513266 118615768 126017688 133442739 177923652 189026532 266885478 355847304 378053064 533770956 1067541912 3365722417 6731444834 10097167251 13462889668 20194334502 26925779336 30291501753 40388669004 60583003506 80777338008 121166007012 242332014024