Search a number
-
+
1421114340 = 2235232414273
BaseRepresentation
bin101010010110100…
…0111101111100100
310200001002002101110
41110231013233210
510402301124330
6353003225020
750134162332
oct12455075744
93601062343
101421114340
1166a200268
12337b18170
13198562179
14d6a4ab52
1584b65db0
hex54b47be4

1421114340 has 96 divisors (see below), whose sum is σ = 4170329856. Its totient is φ = 360898560.

The previous prime is 1421114327. The next prime is 1421114341. The reversal of 1421114340 is 434111241.

It is not an unprimeable number, because it can be changed into a prime (1421114341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330444 + ... + 334716.

It is an arithmetic number, because the mean of its divisors is an integer number (43440936).

Almost surely, 21421114340 is an apocalyptic number.

1421114340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085164928).

1421114340 is an abundant number, since it is smaller than the sum of its proper divisors (2749215516).

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

1421114340 is a wasteful number, since it uses less digits than its factorization.

1421114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1421114340 is about 37697.6702197894. The cubic root of 1421114340 is about 1124.2848036962.

Adding to 1421114340 its reverse (434111241), we get a palindrome (1855225581).

The spelling of 1421114340 in words is "one billion, four hundred twenty-one million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 241 276 345 460 482 690 723 964 1205 1380 1446 2410 2892 3615 4273 4820 5543 7230 8546 11086 12819 14460 16629 17092 21365 22172 25638 27715 33258 42730 51276 55430 64095 66516 83145 85460 98279 110860 128190 166290 196558 256380 294837 332580 393116 491395 589674 982790 1029793 1179348 1474185 1965580 2059586 2948370 3089379 4119172 5148965 5896740 6178758 10297930 12357516 15446895 20595860 23685239 30893790 47370478 61787580 71055717 94740956 118426195 142111434 236852390 284222868 355278585 473704780 710557170 1421114340