Search a number
-
+
1420213314 = 2313127307467
BaseRepresentation
bin101010010100110…
…1011110001000010
310122222101022102010
41110221223301002
510402033311224
6352532033350
750123420412
oct12451536102
93588338363
101420213314
11669745313
12337762856
13198308010
14d6894642
1584a38e29
hex54a6bc42

1420213314 has 64 divisors (see below), whose sum is σ = 3099672576. Its totient is φ = 431210304.

The previous prime is 1420213283. The next prime is 1420213343. The reversal of 1420213314 is 4133120241.

It is a Curzon number.

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, 3040909 + ... + 3041375.

It is an arithmetic number, because the mean of its divisors is an integer number (48432384).

Almost surely, 21420213314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420213314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549836288).

1420213314 is an abundant number, since it is smaller than the sum of its proper divisors (1679459262).

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

1420213314 is a wasteful number, since it uses less digits than its factorization.

1420213314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1420213314 is about 37685.7176394453. The cubic root of 1420213314 is about 1124.0471441876.

Adding to 1420213314 its reverse (4133120241), we get a palindrome (5553333555).

The spelling of 1420213314 in words is "one billion, four hundred twenty million, two hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 127 254 307 381 467 614 762 921 934 1401 1651 1842 2802 3302 3991 4953 6071 7982 9906 11973 12142 18213 23946 36426 38989 59309 77978 116967 118618 143369 177927 233934 286738 355854 430107 506857 771017 860214 1013714 1520571 1542034 1863797 2313051 3041142 3727594 4626102 5591391 11182782 18207863 36415726 54623589 109247178 236702219 473404438 710106657 1420213314