Search a number
-
+
130141344 = 2538316333
BaseRepresentation
bin1111100000111…
…00110010100000
3100001212212100210
413300130302200
5231304010334
620525214120
73140116554
oct760346240
9301785323
10130141344
1167509133
1237701340
1320c67c18
14133d9864
15b65a5e9
hex7c1cca0

130141344 has 48 divisors (see below), whose sum is σ = 345758112. Its totient is φ = 42855168.

The previous prime is 130141343. The next prime is 130141373. The reversal of 130141344 is 443141031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 130141344.

It is not an unprimeable number, because it can be changed into a prime (130141343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 16134.

It is an arithmetic number, because the mean of its divisors is an integer number (7203294).

Almost surely, 2130141344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172879056).

130141344 is an abundant number, since it is smaller than the sum of its proper divisors (215616768).

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

130141344 is a wasteful number, since it uses less digits than its factorization.

130141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16429 (or 16421 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 130141344 is about 11407.9509115353. The cubic root of 130141344 is about 506.7632302871.

Adding to 130141344 its reverse (443141031), we get a palindrome (573282375).

The spelling of 130141344 in words is "one hundred thirty million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 16333 32666 48999 65332 97998 130664 195996 261328 391992 522656 783984 1355639 1567968 2711278 4066917 5422556 8133834 10845112 16267668 21690224 32535336 43380448 65070672 130141344