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142281018 = 232112971349
BaseRepresentation
bin10000111101100…
…00100100111010
3100220201121212100
420132300210322
5242410443033
622041324230
73345240315
oct1036604472
9326647770
10142281018
117334a920
123b796676
1323628669
1414c7997c
15c757513
hex87b093a

142281018 has 96 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 40924800.

The previous prime is 142281017. The next prime is 142281019. The reversal of 142281018 is 810182241.

142281018 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142281017) and next prime (142281019).

It is a junction number, because it is equal to n+sod(n) for n = 142280982 and 142281000.

It is not an unprimeable number, because it can be changed into a prime (142281017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407508 + ... + 407856.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2142281018 is an apocalyptic number.

142281018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142281018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

142281018 is an abundant number, since it is smaller than the sum of its proper divisors (211526982).

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

142281018 is a wasteful number, since it uses less digits than its factorization.

142281018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 142281018 is about 11928.1607132030. The cubic root of 142281018 is about 522.0542727734.

The spelling of 142281018 in words is "one hundred forty-two million, two hundred eighty-one thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 71 87 99 142 174 198 213 261 319 349 426 522 638 639 698 781 957 1047 1278 1562 1914 2059 2094 2343 2871 3141 3839 4118 4686 5742 6177 6282 7029 7678 10121 11517 12354 14058 18531 20242 22649 23034 24779 30363 34551 37062 45298 49558 60726 67947 69102 74337 91089 111331 135894 148674 182178 203841 222662 223011 272569 333993 407682 446022 545138 667986 718591 817707 1001979 1437182 1635414 2003958 2155773 2453121 4311546 4906242 6467319 7904501 12934638 15809002 23713503 47427006 71140509 142281018