Search a number
-
+
20414354310 = 23257277116981
BaseRepresentation
bin10011000000110010…
…100101001110000110
31221200201012122111200
4103000302211032012
5313302033314220
613213410243330
71321613101650
oct230062451606
957621178450
1020414354310
1187264095a9
123b58886546
131c044a39bc
14db93456d0
157e7317890
hex4c0ca5386

20414354310 has 96 divisors (see below), whose sum is σ = 60879304512. Its totient is φ = 4649253120.

The previous prime is 20414354309. The next prime is 20414354393. The reversal of 20414354310 is 1345341402.

It is a happy number.

20414354310 is a `hidden beast` number, since 204 + 143 + 5 + 4 + 310 = 666.

It is a super-2 number, since 2×204143543102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116020 + ... + 233000.

It is an arithmetic number, because the mean of its divisors is an integer number (634159422).

Almost surely, 220414354310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20414354310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30439652256).

20414354310 is an abundant number, since it is smaller than the sum of its proper divisors (40464950202).

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

20414354310 is a wasteful number, since it uses less digits than its factorization.

20414354310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117278 (or 117275 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20414354310 its reverse (1345341402), we get a palindrome (21759695712).

The spelling of 20414354310 in words is "twenty billion, four hundred fourteen million, three hundred fifty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 277 315 554 630 831 1385 1662 1939 2493 2770 3878 4155 4986 5817 8310 9695 11634 12465 17451 19390 24930 29085 34902 58170 87255 116981 174510 233962 350943 584905 701886 818867 1052829 1169810 1637734 1754715 2105658 2456601 3509430 4094335 4913202 5264145 7369803 8188670 10528290 12283005 14739606 24566010 32403737 36849015 64807474 73698030 97211211 162018685 194422422 226826159 291633633 324037370 453652318 486056055 583267266 680478477 972112110 1134130795 1360956954 1458168165 2041435431 2268261590 2916336330 3402392385 4082870862 6804784770 10207177155 20414354310