213508422400
213,508,422,400 is an even composite number composed of six prime numbers multiplied together.
213508422400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 213508422400:
28 × 52 × 7 × 13 × 53 × 6917
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 53 × 6917)See below for interesting mathematical facts about the number 213508422400 from the Numbermatics database.
Names of 213508422400
- Cardinal: 213508422400 can be written as Two hundred thirteen billion, five hundred eight million, four hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.135084224 × 1011
Factors of 213508422400
Divisors of 213508422400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 53 56 64 65 70 80 91 100 104 106 112 128 130 140 160 175 182 200 208 212 224 256 260 265 280 320 325 350 364 371 400 416 424 448 455 520 530 560 640 650 689 700 728 742 800 832 848 896 910 1040 1060 1120 1280 1300 1325 1378 1400 1456 1484 1600 1664 1696 1792 1820 1855 2080 2120 2240 2275 2600 2650 2756 2800 2912 2968 3200 3328 3392 3445 3640 3710 4160 4240 4480 4550 4823 5200 5300 5512 5600 5824 5936 6400 6784 6890 6917 7280 7420 8320 8480 8960 9100 9275 9646 10400 10600 11024 11200 11648 11872 13568 13780 13834 14560 14840 16640 16960 17225 18200 18550 19292 20800 21200 22048 22400 23296 23744 24115 27560 27668 29120 29680 33920 34450 34585 36400 37100 38584 41600 42400 44096 44800 47488 48230 48419 55120 55336 58240 59360 67840 68900 69170 72800 74200 77168 83200 84800 88192 89921 94976 96460 96838 110240 110672 116480 118720 120575 137800 138340 145600 148400 154336 169600 172925 176384 179842 192920 193676 220480 221344 237440 241150 242095 275600 276680 291200 296800 308672 339200 345850 359684 366601 385840 387352 440960 442688 449605 474880 482300 484190 551200 553360 582400 593600 617344 629447 691700 719368 733202 771680 774704 881920 885376 899210 964600 968380 1102400 1106720 1187200 1210475 1234688 1258894 1383400 1438736 1466404 1543360 1549408 1770752 1798420 1833005 1929200 1936760 2204800 2213440 2248025 2374400 2420950 2517788 2566207 2766800 2877472 2932808 3086720 3098816 3147235 3596840 3666010 3858400 3873520 4409600 4426880 4496050 4765813 4841900 5035576 5132414 5533600 5754944 5865616 6173440 6197632 6294470 7193680 7332020 7716800 7747040 8853760 8992100 9165025 9531626 9683800 10071152 10264828 11067200 11509888 11731232 12395264 12588940 12831035 14387360 14664040 15433600 15494080 15736175 17984200 18330050 19063252 19367600 20142304 20529656 22134400 23019776 23462464 23829065 25177880 25662070 28774720 29328080 30867200 30988160 31472350 33360691 35968400 36660100 38126504 38735200 40284608 41059312 44268800 46924928 47658130 50355760 51324140 57549440 58656160 61976320 62944700 64155175 66721382 71936800 73320200 76253008 77470400 80569216 82118624 93849856 95316260 100711520 102648280 115098880 117312320 119145325 125889400 128310350 133442764 143873600 146640400 152506016 154940800 161138432 164237248 166803455 190632520 201423040 205296560 234624640 238290650 251778800 256620700 266885528 287747200 293280800 305012032 309881600 328474496 333606910 381265040 402846080 410593120 469249280 476581300 503557600 513241400 533771056 575494400 586561600 610024064 656948992 667213820 762530080 805692160 821186240 834017275 953162600 1007115200 1026482800 1067542112 1173123200 1220048128 1334427640 1525060160 1642372480 1668034550 1906325200 2014230400 2052965600 2135084224 2346246400 2668855280 3050120320 3284744960 3336069100 3812650400 4028460800 4105931200 4270168448 5337710560 6100240640 6672138200 7625300800 8211862400 8540336896 10675421120 13344276400 15250601600 16423724800 21350842240 26688552800 30501203200 42701684480 53377105600 106754211200 213508422400
- Sum of all divisors σ(n): 662788453824
- Sum of proper divisors (its aliquot sum) s(n): 449280031424
- 213508422400 is an abundant number, because the sum of its proper divisors (449280031424) is greater than itself. Its abundance is 235771609024
Bases of 213508422400
- Binary: 110001101101100001011111111011000000002
- Hexadecimal: 0x31B617FB00
- Base-36: 2Q31EH34
Squares and roots of 213508422400
- 213508422400 squared (2135084224002) is 45585846435736821760000
- 213508422400 cubed (2135084224003) is 9732962156262831795567591424000000
-
The
square root of 213508422400 is 462069.7159520411 -
The
cube root of 213508422400 is 5976.8405587675
Scales and comparisons
How big is 213508422400?- 213,508,422,400 seconds is equal to 6,788 years, 47 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
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To count from 1 to 213,508,422,400 would take you about thirteen thousand, five hundred seventy-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 213508422400 cubic inches would be around 498.1 feet tall.
Recreational maths with 213508422400
- 213508422400 backwards is 004224805312
- The number of decimal digits it has is: 12
- The sum of 213508422400's digits is 31
- More coming soon!
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