Search a number
-
+
142331603736 = 23373127329417
BaseRepresentation
bin1000010010001110011…
…1111110101100011000
3111121101100000121210010
42010203213332230120
54312443342304421
6145215232121520
713166052445560
oct2044347765430
9447340017703
10142331603736
11553a9530583
12237026962a0
131056395108a
146c63165da0
153a80787076
hex21239feb18

142331603736 has 64 divisors (see below), whose sum is σ = 419779860480. Its totient is φ = 39354359040.

The previous prime is 142331603683. The next prime is 142331603789. The reversal of 142331603736 is 637306133241.

142331603736 is digitally balanced in base 2, 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 (142331603683) and next prime (142331603789).

It is a junction number, because it is equal to n+sod(n) for n = 142331603694 and 142331603703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13659501 + ... + 13669916.

It is an arithmetic number, because the mean of its divisors is an integer number (6559060320).

Almost surely, 2142331603736 is an apocalyptic number.

It is an amenable number.

142331603736 is an abundant number, since it is smaller than the sum of its proper divisors (277448256744).

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

142331603736 is a wasteful number, since it uses less digits than its factorization.

142331603736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27329464 (or 27329460 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

Adding to 142331603736 its reverse (637306133241), we get a palindrome (779637736977).

The spelling of 142331603736 in words is "one hundred forty-two billion, three hundred thirty-one million, six hundred three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 27329417 54658834 81988251 109317668 163976502 191305919 218635336 327953004 382611838 573917757 655906008 765223676 847211927 1147835514 1530447352 1694423854 2295671028 2541635781 3388847708 4591342056 5083271562 5930483489 6777695416 10166543124 11860966978 17791450467 20333086248 23721933956 35582900934 47443867912 71165801868 142331603736