Search a number
-
+
2141130444 = 22319233113171
BaseRepresentation
bin111111110011111…
…0000111011001100
312112012220200210120
41333213300323030
513341112133234
6552243504540
7104026210545
oct17747607314
95465820716
102141130444
119a9680aa2
124b9088150
1328178c0bb
141645154cc
15c7e8e049
hex7f9f0ecc

2141130444 has 96 divisors (see below), whose sum is σ = 5665013760. Its totient is φ = 625838400.

The previous prime is 2141130427. The next prime is 2141130451. The reversal of 2141130444 is 4440311412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155979 + ... + 169149.

It is an arithmetic number, because the mean of its divisors is an integer number (59010560).

Almost surely, 22141130444 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 2141130444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832506880).

2141130444 is an abundant number, since it is smaller than the sum of its proper divisors (3523883316).

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

2141130444 is a wasteful number, since it uses less digits than its factorization.

2141130444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13251 (or 13249 counting only the distinct ones).

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

The square root of 2141130444 is about 46272.3507507453. The cubic root of 2141130444 is about 1288.8856117182.

Adding to 2141130444 its reverse (4440311412), we get a palindrome (6581441856).

The spelling of 2141130444 in words is "two billion, one hundred forty-one million, one hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 23 31 38 46 57 62 69 76 92 93 114 124 138 186 228 276 372 437 589 713 874 1178 1311 1426 1748 1767 2139 2356 2622 2852 3534 4278 5244 7068 8556 13171 13547 26342 27094 39513 40641 52684 54188 79026 81282 158052 162564 250249 302933 408301 500498 605866 750747 816602 908799 1000996 1211732 1224903 1501494 1633204 1817598 2449806 3002988 3635196 4899612 5755727 7757719 9390923 11511454 15515438 17267181 18781846 23022908 23273157 28172769 31030876 34534362 37563692 46546314 56345538 69068724 93092628 112691076 178427537 356855074 535282611 713710148 1070565222 2141130444