Search a number
-
+
4233130310420 = 2251124379514933
BaseRepresentation
bin111101100110011010001…
…110100111101100010100
3112222200110010111112102122
4331212122032213230110
51023323422324413140
613000401225355112
7614555625644324
oct75463216475424
915880403445378
104233130310420
111392295780400
125844aa938a98
1324924ab8b08b
14108c554b3284
15751a7c8cab5
hex3d99a3a7b14

4233130310420 has 144 divisors (see below), whose sum is σ = 10125003060480. Its totient is φ = 1484487164160.

The previous prime is 4233130310419. The next prime is 4233130310441. The reversal of 4233130310420 is 240130313324.

It is a self number, because there is not a number n which added to its sum of digits gives 4233130310420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7963274 + ... + 8478206.

Almost surely, 24233130310420 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 4233130310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062501530240).

4233130310420 is an abundant number, since it is smaller than the sum of its proper divisors (5891872750060).

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

4233130310420 is a wasteful number, since it uses less digits than its factorization.

4233130310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515086 (or 515073 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 4233130310420 its reverse (240130313324), we get a palindrome (4473260623744).

The spelling of 4233130310420 in words is "four trillion, two hundred thirty-three billion, one hundred thirty million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 79 86 110 121 158 172 215 220 242 316 395 430 473 484 605 790 860 869 946 1210 1580 1738 1892 2365 2420 3397 3476 4345 4730 5203 6794 8690 9460 9559 10406 13588 16985 17380 19118 20812 26015 33970 37367 38236 47795 52030 67940 74734 95590 104060 149468 186835 191180 373670 411037 514933 747340 822074 1029866 1644148 2055185 2059732 2574665 4110370 5149330 5664263 8220740 10298660 11328526 22142119 22657052 28321315 40679707 44284238 56642630 62306893 81359414 88568476 110710595 113285260 124613786 162718828 203398535 221421190 243563309 249227572 311534465 406797070 442842380 447476777 487126618 623068930 813594140 894953554 974253236 1217816545 1246137860 1749227401 1789907108 2237383885 2435633090 2679196399 3498454802 4474767770 4871266180 4922244547 5358392798 6996909604 8746137005 8949535540 9844489094 10716785596 13395981995 17492274010 19241501411 19688978188 24611222735 26791963990 34984548020 38483002822 49222445470 53583927980 76966005644 96207507055 98444890940 192415014110 211656515521 384830028220 423313031042 846626062084 1058282577605 2116565155210 4233130310420