Search a number
-
+
131145344 = 2711175479
BaseRepresentation
bin1111101000100…
…01111010000000
3100010202212120222
413310101322000
5232033122334
621002522212
73151500641
oct764217200
9303685528
10131145344
1168034490
1237b06368
1321229bc5
14135bb6c8
15b7a7d2e
hex7d11e80

131145344 has 64 divisors (see below), whose sum is σ = 301838400. Its totient is φ = 56094720.

The previous prime is 131145319. The next prime is 131145349. The reversal of 131145344 is 443541131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (131145349) 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, 21197 + ... + 26675.

It is an arithmetic number, because the mean of its divisors is an integer number (4716225).

Almost surely, 2131145344 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 131145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150919200).

131145344 is an abundant number, since it is smaller than the sum of its proper divisors (170693056).

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

131145344 is a wasteful number, since it uses less digits than its factorization.

131145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5509 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 131145344 is about 11451.8707642027. The cubic root of 131145344 is about 508.0630669629.

Adding to 131145344 its reverse (443541131), we get a palindrome (574686475).

The spelling of 131145344 in words is "one hundred thirty-one million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5479 5984 10958 11968 21916 23936 43832 60269 87664 93143 120538 175328 186286 241076 350656 372572 482152 701312 745144 964304 1024573 1490288 1928608 2049146 2980576 3857216 4098292 5961152 7714432 8196584 11922304 16393168 32786336 65572672 131145344