Search a number
-
+
142364516102053 = 7230737924970549
BaseRepresentation
bin100000010111101011010010…
…011010010010111110100101
3200200001220200220102222102121
4200113223102122102332211
5122130000012110231203
61222441204505105541
741662332265400500
oct4027532232227645
9620056626388377
10142364516102053
11413a84a79a4733
1213b732444882b1
136158bbb05448b
14272269d470137
15116d363aea0bd
hex817ad2692fa5

142364516102053 has 24 divisors (see below), whose sum is σ = 166585530804000. Its totient is φ = 121308320534688.

The previous prime is 142364516102041. The next prime is 142364516102177. The reversal of 142364516102053 is 350201615463241.

142364516102053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-142364516102053 is a prime.

It is a super-2 number, since 2×1423645161020532 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142364516102953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6783978 + ... + 18186571.

It is an arithmetic number, because the mean of its divisors is an integer number (6941063783500).

Almost surely, 2142364516102053 is an apocalyptic number.

It is an amenable number.

142364516102053 is a deficient number, since it is larger than the sum of its proper divisors (24221014701947).

142364516102053 is a wasteful number, since it uses less digits than its factorization.

142364516102053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24971249 (or 24971242 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 142364516102053 in words is "one hundred forty-two trillion, three hundred sixty-four billion, five hundred sixteen million, one hundred two thousand, fifty-three".

Divisors: 1 7 49 307 379 2149 2653 15043 18571 116353 814471 5701297 24970549 174793843 1223556901 7665958543 9463838071 53661709801 66246866497 375631968607 463728065479 2905398287797 20337788014579 142364516102053