Search a number
-
+
1314301144 = 2313172332321
BaseRepresentation
bin100111001010110…
…1010010011011000
310101121002102020011
41032111222103120
510142430114034
6334230011304
744366242522
oct11625522330
93347072204
101314301144
116149859a2
123081a6b34
1317c3a44b0
14c67a4a12
157a5b7864
hex4e56a4d8

1314301144 has 64 divisors (see below), whose sum is σ = 2932251840. Its totient is φ = 546078720.

The previous prime is 1314301133. The next prime is 1314301147. The reversal of 1314301144 is 4411034131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314301147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24504 + ... + 56824.

It is an arithmetic number, because the mean of its divisors is an integer number (45816435).

Almost surely, 21314301144 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 1314301144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466125920).

1314301144 is an abundant number, since it is smaller than the sum of its proper divisors (1617950696).

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

1314301144 is a wasteful number, since it uses less digits than its factorization.

1314301144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32380 (or 32376 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1314301144 is about 36253.2914919459. The cubic root of 1314301144 is about 1095.3803906272.

Adding to 1314301144 its reverse (4411034131), we get a palindrome (5725335275).

The spelling of 1314301144 in words is "one billion, three hundred fourteen million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 391 442 598 782 884 1196 1564 1768 2392 3128 5083 10166 20332 32321 40664 64642 129284 258568 420173 549457 743383 840346 1098914 1486766 1680692 2197828 2973532 3361384 4395656 5947064 7142941 9663979 12637511 14285882 19327958 25275022 28571764 38655916 50550044 57143528 77311832 101100088 164287643 328575286 657150572 1314301144