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142331008 = 273741733
BaseRepresentation
bin10000111101111…
…00110010000000
3100220211011102211
420132330302000
5242414043013
622042351504
73345536131
oct1036746200
9326734384
10142331008
1173384436
123b7bb594
1323645341
1414c8dc88
15c76723d
hex87bcc80

142331008 has 64 divisors (see below), whose sum is σ = 298723320. Its totient is φ = 67461120.

The previous prime is 142330999. The next prime is 142331009. The reversal of 142331008 is 800133241.

It can be written as a sum of positive squares in 4 ways, for example, as 139996224 + 2334784 = 11832^2 + 1528^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 142331008.

It is not an unprimeable number, because it can be changed into a prime (142331009) 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, 193810 + ... + 194542.

Almost surely, 2142331008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142331008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149361660).

142331008 is an abundant number, since it is smaller than the sum of its proper divisors (156392312).

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

142331008 is an equidigital number, since it uses as much as digits as its factorization.

142331008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 142331008 is about 11930.2559905477. The cubic root of 142331008 is about 522.1154063376.

Adding to 142331008 its reverse (800133241), we get a palindrome (942464249).

The spelling of 142331008 in words is "one hundred forty-two million, three hundred thirty-one thousand, eight".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 128 148 164 296 328 592 656 733 1184 1312 1466 1517 2368 2624 2932 3034 4736 5248 5864 6068 11728 12136 23456 24272 27121 30053 46912 48544 54242 60106 93824 97088 108484 120212 194176 216968 240424 433936 480848 867872 961696 1111961 1735744 1923392 2223922 3471488 3846784 4447844 8895688 17791376 35582752 71165504 142331008