Search a number
-
+
142140440013 = 311132341934381
BaseRepresentation
bin1000010001100000111…
…0101111110111001101
3111120220000022111110020
42010120032233313031
54312100423040023
6145144242532353
713161241543125
oct2043016576715
9446800274406
10142140440013
1155310633430
122366a6670b9
131053316ba50
146c45a03c85
153a6dac5de3
hex21183afdcd

142140440013 has 64 divisors (see below), whose sum is σ = 232895416320. Its totient is φ = 75878035200.

The previous prime is 142140440011. The next prime is 142140440021. The reversal of 142140440013 is 310044041241.

It is not a de Polignac number, because 142140440013 - 21 = 142140440011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142140440011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4117083 + ... + 4151463.

It is an arithmetic number, because the mean of its divisors is an integer number (3638990880).

Almost surely, 2142140440013 is an apocalyptic number.

142140440013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

142140440013 is a deficient number, since it is larger than the sum of its proper divisors (90754976307).

142140440013 is a wasteful number, since it uses less digits than its factorization.

142140440013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34850.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 142140440013 its reverse (310044041241), we get a palindrome (452184481254).

The spelling of 142140440013 in words is "one hundred forty-two billion, one hundred forty million, four hundred forty thousand, thirteen".

Divisors: 1 3 11 13 23 33 39 69 143 253 299 419 429 759 897 1257 3289 4609 5447 9637 9867 13827 16341 28911 34381 59917 103143 106007 125281 179751 318021 375843 378191 446953 790763 1134573 1340859 1378091 2372289 4134273 4916483 8698393 10279919 14405639 14749449 26095179 30839757 43216917 113079109 158462029 187273307 331329697 339237327 475386087 561819921 993989091 2060006377 3644626667 4307286061 6180019131 10933880001 12921858183 47380146671 142140440013