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142341112140 = 2235137158310939
BaseRepresentation
bin1000010010010000110…
…0010000000101001100
3111121101222220200212020
42010210030100011030
54313003311042030
6145220212010140
713166226330063
oct2044414200514
9447358820766
10142341112140
1155403935367
1223705900950
13105658ccc56
146c6451d1da
153a81514510
hex212431014c

142341112140 has 96 divisors (see below), whose sum is σ = 401754608640. Its totient is φ = 37653321216.

The previous prime is 142341112093. The next prime is 142341112141. The reversal of 142341112140 is 41211143241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 142341112140.

It is not an unprimeable number, because it can be changed into a prime (142341112141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13006791 + ... + 13017729.

It is an arithmetic number, because the mean of its divisors is an integer number (4184943840).

Almost surely, 2142341112140 is an apocalyptic number.

142341112140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142341112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200877304320).

142341112140 is an abundant number, since it is smaller than the sum of its proper divisors (259413496500).

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

142341112140 is a wasteful number, since it uses less digits than its factorization.

142341112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12671 (or 12669 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 142341112140 its reverse (41211143241), we get a palindrome (183552255381).

The spelling of 142341112140 in words is "one hundred forty-two billion, three hundred forty-one million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1583 1644 2055 2740 3166 4110 4749 6332 7915 8220 9498 10939 15830 18996 21878 23745 31660 32817 43756 47490 54695 65634 94980 109390 131268 164085 216871 218780 328170 433742 650613 656340 867484 1084355 1301226 1498643 2168710 2602452 2997286 3253065 4337420 4495929 5994572 6506130 7493215 8991858 13012260 14986430 17316437 17983716 22479645 29972860 34632874 44959290 51949311 69265748 86582185 89918580 103898622 173164370 207797244 259746555 346328740 519493110 1038986220 2372351869 4744703738 7117055607 9489407476 11861759345 14234111214 23723518690 28468222428 35585278035 47447037380 71170556070 142341112140