213307407724320
213,307,407,724,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 213307407724320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
213307407724320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 213307407724320:
25 × 315 × 5 × 7 × 13 × 1021
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 1021)See below for interesting mathematical facts about the number 213307407724320 from the Numbermatics database.
Names of 213307407724320
- Cardinal: 213307407724320 can be written as Two hundred thirteen trillion, three hundred seven billion, four hundred seven million, seven hundred twenty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.1330740772432 × 1014
Factors of 213307407724320
Divisors of 213307407724320
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 65 70 72 78 80 81 84 90 91 96 104 105 108 112 117 120 126 130 135 140 144 156 160 162 168 180 182 189 195 208 210 216 224 234 240 243 252 260 270 273 280 288 312 315 324 336 351 360 364 378 390 405 416 420 432 455 468 480 486 504 520 540 546 560 567 585 624 630 648 672 702 720 728 729 756 780 810 819 840 864 910 936 945 972 1008 1021 1040 1053 1080 1092 1120 1134 1170 1215 1248 1260 1296 1365 1404 1440 1456 1458 1512 1560 1620 1638 1680 1701 1755 1820 1872 1890 1944 2016 2042 2080 2106 2160 2184 2187 2268 2340 2430 2457 2520 2592 2730 2808 2835 2912 2916 3024 3063 3120 3159 3240 3276 3360 3402 3510 3640 3645 3744 3780 3888 4084 4095 4212 4320 4368 4374 4536 4680 4860 4914 5040 5103 5105 5265 5460 5616 5670 5832 6048 6126 6240 6318 6480 6552 6561 6804 7020 7147 7280 7290 7371 7560 7776 8168 8190 8424 8505 8736 8748 9072 9189 9360 9477 9720 9828 10080 10206 10210 10530 10920 10935 11232 11340 11664 12252 12285 12636 12960 13104 13122 13273 13608 14040 14294 14560 14580 14742 15120 15309 15315 15795 16336 16380 16848 17010 17496 18144 18378 18720 18954 19440 19656 19683 20412 20420 21060 21441 21840 21870 22113 22680 23328 24504 24570 25272 25515 26208 26244 26546 27216 27567 28080 28431 28588 29160 29484 30240 30618 30630 31590 32672 32760 32805 33696 34020 34992 35735 36756 36855 37908 38880 39312 39366 39819 40824 40840 42120 42882 43680 43740 44226 45360 45927 45945 47385 49008 49140 50544 51030 52488 53092 54432 55134 56160 56862 57176 58320 58968 59049 61236 61260 63180 64323 65520 65610 66339 66365 68040 69984 71470 73512 73710 75816 76545 78624 78732 79638 81648 81680 82701 84240 85293 85764 87480 88452 90720 91854 91890 92911 94770 98016 98280 98415 101088 102060 104976 106184 107205 110268 110565 113724 114352 116640 117936 118098 119457 122472 122520 126360 128646 131040 131220 132678 132730 136080 137781 137835 142155 142940 147024 147420 151632 153090 157464 159276 163296 163360 165402 168480 170586 171528 174960 176904 177147 183708 183780 185822 189540 192969 196560 196830 199017 199095 204120 209952 212368 214410 220536 221130 227448 228704 229635 235872 236196 238914 244944 245040 248103 252720 255879 257292 262440 265356 265460 272160 275562 275670 278733 284310 285880 294048 294840 295245 303264 306180 314928 318552 321615 330804 331695 341172 343056 349920 353808 354294 358371 367416 367560 371644 379080 385938 393120 393660 398034 398190 408240 413343 413505 424736 426465 428820 441072 442260 454896 459270 464555 472392 477828 489888 490080 496206 505440 511758 514584 524880 530712 530920 531441 551124 551340 557466 568620 571760 578907 589680 590490 597051 597285 612360 629856 637104 643230 661608 663390 682344 686112 688905 707616 708588 716742 734832 735120 743288 744309 758160 767637 771876 787320 796068 796380 816480 826686 827010 836199 852930 857640 882144 884520 885735 909792 918540 929110 944784 955656 964845 992412 995085 1023516 1029168 1049760 1061424 1061840 1062882 1075113 1102248 1102680 1114932 1137240 1143520 1157814 1179360 1180980 1194102 1194570 1224720 1240029 1240515 1274208 1279395 1286460 1323216 1326780 1364688 1377810 1393665 1417176 1433484 1469664 1470240 1486576 1488618 1516320 1535274 1543752 1574640 1592136 1592760 1594323 1653372 1654020 1672398 1705860 1715280 1736721 1769040 1771470 1791153 1791855 1837080 1858220 1889568 1911312 1929690 1984824 1990170 2047032 2058336 2066715 2122848 2123680 2125764 2150226 2204496 2205360 2229864 2232927 2274480 2302911 2315628 2361960 2388204 2389140 2449440 2480058 2481030 2508597 2558790 2572920 2646432 2653560 2657205 2729376 2755620 2787330 2834352 2866968 2894535 2973152 2977236 2985255 3070548 3087504 3149280 3184272 3185520 3188646 3225339 3306744 3308040 3344796 3411720 3430560 3473442 3538080 3542940 3582306 3583710 3674160 3716440 3720087 3721545 3822624 3838185 3859380 3969648 3980340 4094064 4133430 4180995 4251528 4300452 4408992 4410720 4459728 4465854 4548960 4605822 4631256 4723920 4776408 4778280 4782969 4960116 4962060 5017194 5117580 5145840 5210163 5307120 5314410 5373459 5375565 5511240 5574660 5668704 5733936 5789070 5954472 5970510 6141096 6175008 6200145 6368544 6371040 6377292 6450678 6613488 6616080 6689592 6698781 6823440 6908733 6946884 7085880 7164612 7167420 7348320 7432880 7440174 7443090 7525791 7676370 7718760 7939296 7960680 7971615 8188128 8266860 8361990 8503056 8600904 8683605 8919456 8931708 8955765 9211644 9262512 9447840 9552816 9556560 9565938 9676017 9920232 9924120 10034388 10235160 10291680 10420326 10614240 10628820 10746918 10751130 11022480 11149320 11160261 11164635 11467872 11514555 11578140 11908944 11941020 12282192 12400290 12542985 12754584 12901356 13226976 13232160 13379184 13397562 13646880 13817466 13893768 14171760 14329224 14334840 14348907 14865760 14880348 14886180 15051582 15352740 15437520 15630489 15921360 15943230 16120377 16126695 16533720 16723980 17006112 17201808 17367210 17863416 17911530 18423288 18525024 18600435 19105632 19113120 19131876 19352034 19840464 19848240 20068776 20096343 20470320 20726199 20840652 21257640 21493836 21502260 22044960 22298640 22320522 22329270 22577373 23029110 23156280 23817888 23882040 23914845 24564384 24800580 25085970 25509168 25802712 26050815 26758368 26795124 26867295 27634932 27787536 28343520 28658448 28669680 28697814 29028051 29760696 29772360 30103164 30705480 30875040 31260978 31842720 31886460 32240754 32253390 33067440 33447960 33480783 33493905 34403616 34543665 34734420 35726832 35823060 36846576 37200870 37628955 38263752 38704068 39680928 39696480 40137552 40192686 40940640 41452398 41681304 42515280 42987672 43004520 44597280 44641044 44658540 45154746 46058220 46312560 46891467 47764080 47829690 48361131 48380085 49601160 50171940 51018336 51605424 52101630 53590248 53734590 55269864 55575072 55801305 57316896 57339360 57395628 58056102 59521392 59544720 60206328 60289029 61410960 62178597 62521956 63772920 64481508 64506780 66134880 66895920 66961566 66987810 67732119 69087330 69468840 71453664 71646120 71744535 73693152 74401740 75257910 76527504 77408136 78152445 80275104 80385372 80601885 82904796 83362608 85030560 85975344 86009040 87084153 89282088 89317080 90309492 92116440 92625120 93782934 95528160 95659380 96722262 96760170 99202320 100343880 100442349 100481715 103210848 103630995 104203260 107180496 107469180 110539728 111602610 112886865 114791256 116112204 119042784 119089440 120412656 120578058 122821920 124357194 125043912 127545840 128963016 129013560 133791840 133923132 133975620 135464238 138174660 138937680 140674401 143292240 143489070 145083393 145140255 148803480 150515820 153055008 154816272 156304890 160770744 161203770 165809592 166725216 167403915 171950688 172018080 174168306 178564176 178634160 180618984 180867087 184232880 186535791 187565868 191318760 193444524 193520340 198404640 200687760 200884698 200963430 203196357 207261990 208406520 214360992 214938360 221079456 223205220 225773730 229582512 232224408 234457335 240825312 241156116 241805655 248714388 250087824 255091680 257926032 258027120 261252459 267846264 267951240 270928476 276349320 277875360 281348802 286584480 286978140 290166786 290280510 297606960 301031640 301445145 309632544 310892985 312609780 321541488 322407540 331619184 334807830 338660595 348336612 357128352 357268320 361237968 361734174 368465760 373071582 375131736 382637520 386889048 387040680 401375520 401769396 401926860 406392714 414523980 416813040 422023203 429876720 435250179 435420765 446410440 451547460 459165024 464448816 468914670 482312232 483611310 497428776 500175648 502211745 515852064 516054240 522504918 535692528 535902480 541856952 542601261 552698640 562697604 573956280 580333572 580561020 595213920 602063280 602890290 609589071 621785970 625219560 643082976 644815080 663238368 669615660 677321190 696673224 703372005 722475936 723468348 725416965 746143164 750263472 765275040 773778096 774081360 783757377 803538792 803853720 812785428 829047960 833626080 844046406 859753440 870500358 870841530 892820880 903094920 904335435 928897632 932678955 937829340 964624464 967222620 994857552 1004423490 1015981785 1045009836 1071385056 1071804960 1083713904 1085202522 1105397280 1125395208 1147912560 1160667144 1161122040 1204126560 1205780580 1219178142 1243571940 1250439120 1266069609 1289630160 1305750537 1306262295 1339231320 1354642380 1393346448 1406744010 1446936696 1450833930 1492286328 1500526944 1547556192 1548162720 1567514754 1607077584 1607707440 1625570856 1627803783 1658095920 1688092812 1741000716 1741683060 1785641760 1806189840 1808670870 1828767213 1865357910 1875658680 1929248928 1934445240 1989715104 2008846980 2031963570 2090019672 2110116015 2167427808 2170405044 2176250895 2250790416 2295825120 2321334288 2322244080 2351272131 2411561160 2438356284 2487143880 2500878240 2532139218 2579260320 2611501074 2612524590 2678462640 2709284760 2713006305 2786692896 2813488020 2893873392 2901667860 2984572656 3047945355 3135029508 3214155168 3215414880 3251141712 3255607566 3316191840 3376185624 3482001432 3483366120 3612379680 3617341740 3657534426 3730715820 3751317360 3798208827 3868890480 3918786885 4017693960 4063927140 4180039344 4220232030 4340810088 4352501790 4501580832 4642668576 4644488160 4702544262 4823122320 4876712568 4883411349 4974287760 5064278436 5223002148 5225049180 5356925280 5418569520 5426012610 5486301639 5626976040 5787746784 5803335720 5969145312 6095890710 6270059016 6330348045 6502283424 6511215132 6528752685 6752371248 6964002864 6966732240 7053816393 7234683480 7315068852 7461431640 7502634720 7596417654 7737780960 7837573770 8035387920 8127854280 8139018915 8360078688 8440464060 8681620176 8705003580 9143836065 9405088524 9646244640 9753425136 9766822698 9948575520 10128556872 10446004296 10450098360 10837139040 10852025220 10972603278 11253952080 11394626481 11606671440 11756360655 12191781420 12540118032 12660696090 13022430264 13057505370 13504742496 13928005728 13933464480 14107632786 14469366960 14630137704 14650234047 14922863280 15192835308 15675147540 16070775840 16255708560 16278037830 16458904917 16880928120 17363240352 17410007160 18287672130 18810177048 18991044135 19506850272 19533645396 20257113744 20892008592 20900196720 21161449179 21704050440 21945206556 22507904160 22789252962 23213342880 23512721310 24383562840 24417056745 25080236064 25321392180 26044860528 26115010740 27431508195 28215265572 28938733920 29260275408 29300468094 29845726560 30385670616 31350295080 32511417120 32556075660 32917809834 33761856240 34183879443 34820014320 35269081965 36575344260 37620354096 37982088270 39067290792 40514227488 41784017184 41800393440 42322898358 43408100880 43890413112 45578505924 47025442620 48767125680 48834113490 49376714751 50642784360 52089721056 52230021480 54863016390 56430531144 56973132405 58520550816 58600936188 60771341232 62700590160 63484347537 65112151320 65835619668 67523712480 68367758886 69640028640 70538163930 73150688520 73251170235 75240708192 75964176540 78134581584 82294524585 84645796716 86816201760 87780826224 91157011848 94050885240 97534251360 97668226980 98753429502 101285568720 102551638329 104460042960 105807245895 109726032780 112861062288 113946264810 117201872376 121542682464 125401180320 126968695074 130224302640 131671239336 136735517772 141076327860 146301377040 146502340470 148130144253 151928353080 156269163168 164589049170 169291593432 170919397215 175561652448 182314023696 188101770480 190453042611 195336453960 197506859004 202571137440 205103276658 208920085920 211614491790 219452065560 225722124576 227892529620 234403744752 246883573755 253937390148 260448605280 263342478672 273471035544 282152655720 292602754080 293004680940 296260288506 303856706160 317421737685 329178098340 338583186864 341838794430 364628047392 376203540960 380906085222 390672907920 395013718008 410206553316 423228983580 438904131120 444390432759 455785059240 468807489504 493767147510 507874780296 512758191645 526684957344 546942071088 564305311440 586009361880 592520577012 607713412320 634843475370 658356196680 677166373728 683677588860 740650721265 761812170444 781345815840 790027436016 820413106632 846457967160 877808262240 888780865518 911570118480 952265213055 987534295020 1015749560592 1025516383290 1093884142176 1128610622880 1172018723760 1185041154024 1269686950740 1316712393360 1333171298277 1367355177720 1481301442530 1523624340888 1580054872032 1640826213264 1692915934320 1777561731036 1823140236960 1904530426110 1975068590040 2031499121184 2051032766580 2221952163795 2344037447520 2370082308048 2539373901480 2633424786720 2666342596554 2734710355440 2962602885060 3047248681776 3281652426528 3385831868640 3555123462072 3809060852220 3950137180080 4102065533160 4443904327590 4740164616096 5078747802960 5332685193108 5469420710880 5925205770120 6094497363552 6665856491385 7110246924144 7618121704440 7900274360160 8204131066320 8887808655180 10157495605920 10665370386216 11850411540240 13331712982770 14220493848288 15236243408880 16408262132640 17775617310360 21330740772432 23700823080480 26663425965540 30472486817760 35551234620720 42661481544864 53326851931080 71102469241440 106653703862160 213307407724320
- Sum of all divisors σ(n): 931259654277120
- Sum of proper divisors (its aliquot sum) s(n): 717952246552800
- 213307407724320 is an abundant number, because the sum of its proper divisors (717952246552800) is greater than itself. Its abundance is 504644838828480
Bases of 213307407724320
- Binary: 1100001000000000100000000100001111101111001000002
- Hexadecimal: 0xC2008043EF20
- Base-36: 23M02J4I00
Squares and roots of 213307407724320
- 213307407724320 squared (2133074077243202) is 45500050190069291601119462400
- 213307407724320 cubed (2133074077243203) is 9705497757370134095432660114300845805568000
-
The
square root of 213307407724320 is 14605047.3372844635 -
The
cube root of 213307407724320 is 59749.6427071363
Scales and comparisons
How big is 213307407724320?- 213,307,407,724,320 seconds is equal to 6,782,515 years, 39 weeks, 4 days, 13 hours, 12 minutes.
-
To count from 1 to 213,307,407,724,320 would take you about sixteen million, nine hundred fifty-six thousand, two hundred eighty-nine 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 213307407724320 cubic inches would be around 4979.1 feet tall.
Recreational maths with 213307407724320
- 213307407724320 backwards is 023427704703312
- 213307407724320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213307407724320's digits is 45
- More coming soon!
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"Number 213307407724320 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 213307407724320 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/213307407724320/
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The information we have on file for 213307407724320 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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