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142243022142 = 232132961343627
BaseRepresentation
bin1000010001111001011…
…0000100010100111110
3111121011011100012200100
42010132112010110332
54312303203202032
6145202345341530
713163625511314
oct2043626042476
9447134305610
10142243022142
1155363528951
1223698a978a6
131054b4a7930
146c554a80b4
153a77ada97c
hex211e58453e

142243022142 has 96 divisors (see below), whose sum is σ = 348974851680. Its totient is φ = 41565000960.

The previous prime is 142243022101. The next prime is 142243022147. The reversal of 142243022142 is 241220342241.

It is a happy number.

142243022142 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 430 + 221 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142243022147) 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, 242133 + ... + 585759.

It is an arithmetic number, because the mean of its divisors is an integer number (3635154705).

Almost surely, 2142243022142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142243022142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174487425840).

142243022142 is an abundant number, since it is smaller than the sum of its proper divisors (206731829538).

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

142243022142 is a wasteful number, since it uses less digits than its factorization.

142243022142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343738 (or 343735 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 142243022142 its reverse (241220342241), we get a palindrome (383463364383).

The spelling of 142243022142 in words is "one hundred forty-two billion, two hundred forty-three million, twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 61 78 87 117 122 174 183 234 261 366 377 522 549 754 793 1098 1131 1586 1769 2262 2379 3393 3538 4758 5307 6786 7137 10614 14274 15921 22997 31842 45994 68991 137982 206973 343627 413946 687254 1030881 2061762 3092643 4467151 6185286 8934302 9965183 13401453 19930366 20961247 26802906 29895549 40204359 41922494 59791098 62883741 80408718 89686647 125767482 129547379 179373294 188651223 259094758 272496211 377302446 388642137 544992422 607876163 777284274 817488633 1165926411 1215752326 1634977266 1823628489 2331852822 2452465899 3647256978 4904931798 5470885467 7902390119 10941770934 15804780238 23707170357 47414340714 71121511071 142243022142