213131863180800
213,131,863,180,800 is an even composite number composed of six prime numbers multiplied together.
213131863180800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 213131863180800:
29 × 33 × 52 × 17 × 192 × 3172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 19 × 19 × 317 × 317)See below for interesting mathematical facts about the number 213131863180800 from the Numbermatics database.
Names of 213131863180800
- Cardinal: 213131863180800 can be written as Two hundred thirteen trillion, one hundred thirty-one billion, eight hundred sixty-three million, one hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 2.131318631808 × 1014
Factors of 213131863180800
Divisors of 213131863180800
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 27 30 32 34 36 38 40 45 48 50 51 54 57 60 64 68 72 75 76 80 85 90 95 96 100 102 108 114 120 128 135 136 144 150 152 153 160 170 171 180 190 192 200 204 216 225 228 240 255 256 270 272 285 288 300 304 306 317 320 323 340 342 360 361 380 384 400 408 425 432 450 456 459 475 480 510 512 513 540 544 570 576 600 608 612 634 640 646 675 680 684 720 722 760 765 768 800 816 850 855 864 900 912 918 950 951 960 969 1020 1026 1080 1083 1088 1140 1152 1200 1216 1224 1268 1275 1280 1292 1350 1360 1368 1425 1440 1444 1520 1530 1536 1585 1600 1615 1632 1700 1710 1728 1800 1805 1824 1836 1900 1902 1920 1938 2040 2052 2160 2166 2176 2280 2295 2304 2400 2432 2448 2536 2550 2560 2565 2584 2700 2720 2736 2850 2853 2880 2888 2907 3040 3060 3170 3200 3230 3249 3264 3400 3420 3456 3600 3610 3648 3672 3800 3804 3825 3840 3876 4080 4104 4275 4320 4332 4352 4560 4590 4608 4755 4800 4845 4864 4896 5072 5100 5130 5168 5389 5400 5415 5440 5472 5700 5706 5760 5776 5814 6023 6080 6120 6137 6340 6400 6460 6498 6528 6800 6840 6912 7200 7220 7296 7344 7600 7608 7650 7680 7752 7925 8075 8160 8208 8550 8559 8640 8664 8704 8721 9025 9120 9180 9510 9600 9690 9728 9747 9792 10144 10200 10260 10336 10778 10800 10830 10880 10944 11400 11412 11475 11520 11552 11628 12046 12160 12240 12274 12680 12800 12825 12920 12996 13056 13600 13680 13824 14265 14400 14440 14535 14592 14688 15200 15216 15300 15504 15850 16150 16167 16245 16320 16416 17100 17118 17280 17328 17442 18050 18069 18240 18360 18411 19020 19200 19380 19494 19584 20288 20400 20520 20672 21556 21600 21660 21760 21888 22800 22824 22950 23040 23104 23256 23775 24092 24225 24320 24480 24548 25360 25650 25840 25992 26112 26945 27075 27200 27360 28530 28800 28880 29070 29184 29376 30115 30400 30432 30600 30685 31008 31700 32300 32334 32490 32640 32832 34200 34236 34560 34656 34884 36100 36138 36480 36720 36822 38040 38400 38760 38988 39168 40576 40800 41040 41344 42795 43112 43200 43320 43520 43605 43776 45600 45648 45900 46208 46512 47550 48184 48450 48501 48640 48735 48960 49096 50720 51300 51680 51984 53890 54150 54207 54400 54720 55233 57060 57600 57760 58140 58752 60230 60800 60864 61200 61370 62016 63400 64600 64668 64980 65280 65664 68400 68472 69120 69312 69768 71325 72200 72276 72675 72960 73440 73644 76080 77520 77976 78336 80835 81152 81225 81600 82080 82688 85590 86224 86400 86640 87210 87552 90345 91200 91296 91800 92055 92416 93024 95100 96368 96900 97002 97470 97920 98192 100489 101440 102391 102600 103360 103968 107780 108300 108414 108800 109440 110466 114120 114437 115200 115520 116280 117504 120460 121600 121728 122400 122740 124032 126800 129200 129336 129960 130560 131328 134725 136800 136944 138624 139536 142650 144400 144552 145350 145503 145920 146880 147288 150575 152160 153425 155040 155952 161670 162304 162450 162621 163200 164160 165376 165699 171180 172448 172800 173280 174420 180690 182400 182592 183600 184110 184832 186048 190200 192736 193800 194004 194940 195840 196384 200978 202880 204782 205200 206720 207936 213975 215560 216600 216828 217600 218025 218880 220932 228240 228874 231040 232560 235008 240920 242505 243200 243456 243675 244800 245480 248064 253600 258400 258672 259920 262656 269450 271035 273600 273888 276165 277248 279072 285300 288800 289104 290700 291006 293760 294576 301150 301467 304320 306850 307173 310080 311904 323340 324900 325242 326400 328320 331398 342360 343311 344896 345600 346560 348840 361380 364800 365184 367200 368220 372096 380400 385472 387600 388008 389880 391680 392768 401956 404175 405760 409564 410400 413440 415872 427950 431120 433200 433656 436050 437760 441864 451725 456480 457748 460275 462080 465120 481840 485010 486912 487350 489600 490960 496128 502445 507200 511955 516800 517344 519840 538900 542070 547200 547776 552330 554496 558144 570600 572185 577600 578208 581400 582012 587520 589152 602300 602934 608640 613700 614346 620160 623808 646680 649800 650484 652800 656640 662796 684720 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2596635760 2611910088 2623968768 2626329150 2636628480 2720739675 2733300800 2749379040 2801417760 2894083200 2902122320 2921215230 2932670976 2948860800 2951964864 2988178944 3054865600 3074963400 3083504965 3112686400 3115962912 3245794700 3264887610 3279960960 3295785600 3299254848 3361701312 3436723800 3472899840 3482546784 3501772200 3505458276 3538632960 3627652900 3665838720 3689956080 3700205958 3735223680 3858777600 3894953640 3917865132 3931814400 3935953152 3954942720 4099951200 4124068560 4154617216 4202126640 4341124800 4353183480 4373281280 4381822845 4394380800 4399006464 4423291200 4482268416 4582298400 4612445100 4643395712 4669029600 4673944368 4868692050 4887784960 4897331415 4919941440 4933607944 4943678400 4980298240 5155085700 5193271520 5223820176 5252658300 5441479350 5466601600 5498758080 5550308937 5602835520 5788166400 5804244640 5842430460 5897721600 5903929728 6109731200 6149926800 6167009930 6225372800 6231925824 6491589400 6529775220 6559921920 6591571200 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197344317760 207730860800 208952807040 219950323200 222012357480 224113420800 224349329664 232169785600 233697218400 236813181312 246680397200 249277032960 250743368448 261191008800 266414828976 277515446850 278603742720 280436662080 295196486400 296016476640 311596291200 313429210560 315750908416 329925484800 333018536220 336170131200 348254678400 350545827600 355219771968 370020595800 373915549440 391786513200 394688635520 415461721600 416273170275 417905614080 444024714960 448698659328 464339571200 467394436800 473626362624 493360794400 501486736896 522382017600 532829657952 555030893700 560873324160 590392972800 592032953280 623192582400 626858421120 659850969600 666037072440 672340262400 696509356800 701091655200 710439543936 740041191600 747831098880 783573026400 789377271040 832546340550 835811228160 888049429920 934788873600 947252725248 986721588800 1044764035200 1065659315904 1110061787400 1121746648320 1184065906560 1246385164800 1253716842240 1332074144880 1393018713600 1402183310400 1420879087872 1480082383200 1567146052800 1578754542080 1665092681100 1776098859840 1869577747200 1973443177600 2089528070400 2131318631808 2220123574800 2243493296640 2368131813120 2507433684480 2664148289760 2804366620800 2841758175744 2960164766400 3134292105600 3330185362200 3552197719680 3739155494400 3946886355200 4179056140800 4262637263616 4440247149600 4736263626240 5328296579520 5608733241600 5920329532800 6268584211200 6660370724400 7104395439360 7893772710400 8525274527232 8880494299200 10656593159040 11217466483200 11840659065600 12537168422400 13320741448800 14208790878720 17760988598400 21313186318080 23681318131200 26641482897600 35521977196800 42626372636160 53282965795200 71043954393600 106565931590400 213131863180800
- Sum of all divisors σ(n): 876971520699120
- Sum of proper divisors (its aliquot sum) s(n): 663839657518320
- 213131863180800 is an abundant number, because the sum of its proper divisors (663839657518320) is greater than itself. Its abundance is 450707794337520
Bases of 213131863180800
- Binary: 1100000111010111101000001111111011000110000000002
- Hexadecimal: 0xC1D7A0FEC600
- Base-36: 23JRFCFPC0
Squares and roots of 213131863180800
- 213131863180800 squared (2131318631808002) is 45425191102919250693488640000
- 213131863180800 cubed (2131318631808003) is 9681555615109079190275076337919066112000000
-
The
square root of 213131863180800 is 14599036.3785011509 -
The
cube root of 213131863180800 is 59733.2475860181
Scales and comparisons
How big is 213131863180800?- 213,131,863,180,800 seconds is equal to 6,776,933 years, 51 weeks, 3 days.
-
To count from 1 to 213,131,863,180,800 would take you about sixteen million, nine hundred forty-two thousand, three hundred thirty-four 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 213131863180800 cubic inches would be around 4977.8 feet tall.
Recreational maths with 213131863180800
- 213131863180800 backwards is 008081368131312
- 213131863180800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213131863180800's digits is 45
- More coming soon!
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The information we have on file for 213131863180800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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