Search a number
-
+
1414144312 = 2372191811049
BaseRepresentation
bin101010001001010…
…0010000100111000
310122112221222022021
41110102202010320
510344010104222
6352154004224
750021012500
oct12422420470
93575858267
101414144312
1166627a609
12335716674
13196c917a9
14d5b54a00
158423aac7
hex544a2138

1414144312 has 96 divisors (see below), whose sum is σ = 3267810000. Its totient is φ = 570447360.

The previous prime is 1414144307. The next prime is 1414144339. The reversal of 1414144312 is 2134414141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347564 + ... + 1348612.

Almost surely, 21414144312 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 1414144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633905000).

1414144312 is an abundant number, since it is smaller than the sum of its proper divisors (1853665688).

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

1414144312 is a wasteful number, since it uses less digits than its factorization.

1414144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1258 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 1414144312 is about 37605.1101846544. The cubic root of 1414144312 is about 1122.4437266578.

Adding to 1414144312 its reverse (2134414141), we get a palindrome (3548558453).

The spelling of 1414144312 in words is "one billion, four hundred fourteen million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 181 196 266 362 392 532 724 931 1049 1064 1267 1448 1862 2098 2534 3439 3724 4196 5068 6878 7343 7448 8392 8869 10136 13756 14686 17738 19931 24073 27512 29372 35476 39862 48146 51401 58744 70952 79724 96292 102802 139517 159448 168511 189869 192584 205604 279034 337022 379738 411208 558068 674044 759476 976619 1116136 1329083 1348088 1518952 1953238 2658166 3607511 3906476 5316332 7215022 7812952 9303581 10632664 14430044 18607162 25252577 28860088 37214324 50505154 74428648 101010308 176768039 202020616 353536078 707072156 1414144312