Search a number
-
+
2144403114 = 2372331101709
BaseRepresentation
bin111111111010000…
…1111111010101010
312112110001222001120
41333310033322222
513342431344424
6552442000110
7104066061060
oct17764177252
95473058046
102144403114
11a00506887
124ba1a6036
132823668a9
14164b28030
15c83d8a79
hex7fd0feaa

2144403114 has 128 divisors (see below), whose sum is σ = 5339381760. Its totient is φ = 560736000.

The previous prime is 2144403073. The next prime is 2144403119. The reversal of 2144403114 is 4113044412.

It is not an unprimeable number, because it can be changed into a prime (2144403119) 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, 3024192 + ... + 3024900.

It is an arithmetic number, because the mean of its divisors is an integer number (41713920).

Almost surely, 22144403114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144403114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669690880).

2144403114 is an abundant number, since it is smaller than the sum of its proper divisors (3194978646).

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

2144403114 is a wasteful number, since it uses less digits than its factorization.

2144403114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876.

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

The square root of 2144403114 is about 46307.7003747757. The cubic root of 2144403114 is about 1289.5419550408.

Adding to 2144403114 its reverse (4113044412), we get a palindrome (6257447526).

The spelling of 2144403114 in words is "two billion, one hundred forty-four million, four hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 69 93 101 138 161 186 202 217 303 322 434 483 606 651 707 709 713 966 1302 1414 1418 1426 2121 2127 2139 2323 3131 4242 4254 4278 4646 4963 4991 6262 6969 9393 9926 9982 13938 14889 14973 16261 16307 18786 21917 21979 29778 29946 32522 32614 43834 43958 48783 48921 65751 65937 71609 72013 97566 97842 114149 131502 131874 143218 144026 153853 214827 216039 228298 307706 342447 429654 432078 461559 501263 504091 505517 684894 923118 1002526 1008182 1011034 1503789 1512273 1516551 1647007 2219879 3007578 3024546 3033102 3294014 3538619 4439758 4941021 6659637 7077238 9882042 10615857 11529049 13319274 15539153 21231714 23058098 31078306 34587147 46617459 51057217 69174294 93234918 102114434 153171651 306343302 357400519 714801038 1072201557 2144403114