Search a number
-
+
20314141540 = 225711119311057
BaseRepresentation
bin10010111010110100…
…010011001101100100
31221102201122022102121
4102322310103031210
5313100410012130
613155430315324
71316255232310
oct227264231544
957381568377
1020314141540
118684892230
123b2b1b8b44
131bb97b73c4
14da9cdab40
157dd61ed7a
hex4bad13364

20314141540 has 96 divisors (see below), whose sum is σ = 53235512064. Its totient is φ = 6325800960.

The previous prime is 20314141511. The next prime is 20314141541. The reversal of 20314141540 is 4514141302.

It is not an unprimeable number, because it can be changed into a prime (20314141541) 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, 1831692 + ... + 1842748.

It is an arithmetic number, because the mean of its divisors is an integer number (554536584).

Almost surely, 220314141540 is an apocalyptic number.

20314141540 is a gapful number since it is divisible by the number (20) 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 20314141540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26617756032).

20314141540 is an abundant number, since it is smaller than the sum of its proper divisors (32921370524).

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

20314141540 is a wasteful number, since it uses less digits than its factorization.

20314141540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277 (or 12275 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 20314141540 its reverse (4514141302), we get a palindrome (24828282842).

The spelling of 20314141540 in words is "twenty billion, three hundred fourteen million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1193 1540 2386 4772 5965 8351 11057 11930 13123 16702 22114 23860 26246 33404 41755 44228 52492 55285 65615 77399 83510 91861 110570 121627 131230 154798 167020 183722 221140 243254 262460 309596 367444 386995 459305 486508 608135 773990 851389 918610 1216270 1547980 1702778 1837220 2432540 3405556 4256945 8513890 13191001 17027780 26382002 52764004 65955005 92337007 131910010 145101011 184674014 263820020 290202022 369348028 461685035 580404044 725505055 923370070 1015707077 1451010110 1846740140 2031414154 2902020220 4062828308 5078535385 10157070770 20314141540