Search a number
-
+
142120314341313 = 37112634937473833
BaseRepresentation
bin100000010100000111110110…
…110110100000011111000001
3200122012120101001202012021120
4200110013312312200133001
5122111444400432410223
61222133100541542453
741635565606566410
oct4024076666403701
9618176331665246
10142120314341313
1141313983416460
1213b33a51874a29
13613bb7130b7b9
142714934b4b477
151166d1ed62be3
hex8141f6da07c1

142120314341313 has 64 divisors (see below), whose sum is σ = 237198783393792. Its totient is φ = 73532964602880.

The previous prime is 142120314341287. The next prime is 142120314341333. The reversal of 142120314341313 is 313143413021241.

It is a happy number.

It is not a de Polignac number, because 142120314341313 - 29 = 142120314340801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (142120314341333) 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, 299700645 + ... + 300174477.

It is an arithmetic number, because the mean of its divisors is an integer number (3706230990528).

Almost surely, 2142120314341313 is an apocalyptic number.

It is an amenable number.

142120314341313 is a deficient number, since it is larger than the sum of its proper divisors (95078469052479).

142120314341313 is a wasteful number, since it uses less digits than its factorization.

142120314341313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479054.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 142120314341313 its reverse (313143413021241), we get a palindrome (455263727362554).

The spelling of 142120314341313 in words is "one hundred forty-two trillion, one hundred twenty billion, three hundred fourteen million, three hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 7 11 21 33 77 231 263 789 1841 2893 4937 5523 8679 14811 20251 34559 54307 60753 103677 162921 380149 473833 1140447 1298431 1421499 3316831 3895293 5212163 9089017 9950493 14282741 15636489 27267051 36485141 42848223 99979187 109455423 124618079 299937561 373854237 872326553 1370798869 2339313521 2616979659 4112396607 7017940563 9595592083 16375194647 25732448731 28786776249 49125583941 77197346193 180127141117 540381423351 615239456023 1845718368069 4306676192161 6767634016253 12920028576483 20302902048759 47373438113771 142120314341313