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142331010324 = 223171018278353
BaseRepresentation
bin1000010010001110010…
…1101101110100010100
3111121101021220110202220
42010203211231310110
54312443214312244
6145215211302340
713166044424526
oct2044345556424
9447337813686
10142331010324
11553a9165758
122370244a9b0
13105637a3c49
146c6304da16
153a806bb319
hex212396dd14

142331010324 has 96 divisors (see below), whose sum is σ = 355594893696. Its totient is φ = 44152012800.

The previous prime is 142331010323. The next prime is 142331010379. The reversal of 142331010324 is 423010133241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 142331010294 and 142331010303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142331010323) 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 31 ways as a sum of consecutive naturals, for example, 17035332 + ... + 17043684.

It is an arithmetic number, because the mean of its divisors is an integer number (3704113476).

Almost surely, 2142331010324 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 142331010324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177797446848).

142331010324 is an abundant number, since it is smaller than the sum of its proper divisors (213263883372).

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

142331010324 is a wasteful number, since it uses less digits than its factorization.

142331010324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9305 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 142331010324 its reverse (423010133241), we get a palindrome (565341143565).

The spelling of 142331010324 in words is "one hundred forty-two billion, three hundred thirty-one million, ten thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 827 1212 1654 1717 2481 3308 3434 4962 5151 6868 8353 9924 10302 14059 16706 20604 25059 28118 33412 42177 50118 56236 83527 84354 100236 142001 167054 168708 250581 284002 334108 426003 501162 568004 843653 852006 1002324 1419959 1687306 1704012 2530959 2839918 3374612 4259877 5061918 5679836 6907931 8519754 10123836 13815862 14342101 17039508 20723793 27631724 28684202 41447586 43026303 57368404 82895172 86052606 117434827 172105212 234869654 352304481 469739308 697701031 704608962 1395402062 1409217924 2093103093 2790804124 4186206186 8372412372 11860917527 23721835054 35582752581 47443670108 71165505162 142331010324