213137708732800
213,137,708,732,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 213137708732800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
213137708732800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 213137708732800:
27 × 52 × 17 × 292 × 372 × 41 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 29 × 29 × 37 × 37 × 41 × 83)See below for interesting mathematical facts about the number 213137708732800 from the Numbermatics database.
Names of 213137708732800
- Cardinal: 213137708732800 can be written as Two hundred thirteen trillion, one hundred thirty-seven billion, seven hundred eight million, seven hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 2.131377087328 × 1014
Factors of 213137708732800
Divisors of 213137708732800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 37 40 41 50 58 64 68 74 80 82 83 85 100 116 128 136 145 148 160 164 166 170 185 200 205 232 272 290 296 320 328 332 340 370 400 410 415 425 464 493 544 580 592 629 640 656 664 680 697 725 740 800 820 830 841 850 925 928 986 1025 1073 1088 1160 1184 1189 1258 1312 1328 1360 1369 1394 1411 1450 1480 1517 1600 1640 1660 1682 1700 1850 1856 1972 2050 2075 2146 2176 2320 2368 2378 2407 2465 2516 2624 2656 2720 2738 2788 2822 2900 2960 3034 3071 3145 3200 3280 3320 3364 3400 3403 3485 3700 3712 3944 4100 4150 4205 4292 4640 4736 4756 4814 4930 5032 5248 5312 5365 5440 5476 5576 5644 5800 5920 5945 6068 6142 6290 6560 6640 6728 6800 6806 6845 6970 7055 7400 7585 7888 8200 8300 8410 8584 9280 9512 9628 9860 10064 10624 10730 10880 10952 11152 11288 11600 11840 11890 12035 12136 12284 12325 12580 13120 13280 13456 13600 13612 13690 13940 14110 14297 14800 15170 15355 15725 15776 16400 16600 16820 17015 17168 17425 18241 18560 19024 19256 19720 20128 20213 21025 21460 21904 22304 22576 23200 23273 23680 23780 24070 24272 24568 24650 25160 25789 26240 26560 26825 26912 27200 27224 27380 27880 28220 28594 29600 29725 30340 30710 31117 31450 31552 32800 33200 33640 34030 34225 34336 34481 34850 35275 36482 37925 38048 38512 39440 39701 40256 40426 40919 42050 42920 43808 43993 44608 45152 46400 46546 47560 48140 48544 49136 49300 50320 51578 52207 53120 53650 53824 54400 54448 54760 55760 56129 56440 57188 57851 59200 59450 60175 60680 61420 62234 62900 63104 65600 66400 67280 68060 68450 68672 68962 69700 69803 70550 71485 72964 75850 76096 76775 77024 78880 79402 80512 80852 81838 84100 85075 85840 87616 87986 89059 89216 90304 91205 92800 93092 95120 96280 97088 98272 98600 98687 100640 101065 103156 104414 107300 107648 108896 109520 111520 112258 112880 113627 114376 115702 116365 118400 118900 120350 121360 122840 124468 125800 125911 128945 131200 132800 134560 136120 136900 137344 137924 139400 139606 141100 142970 145928 151700 152192 153550 154048 155585 157760 158804 161704 163676 168200 170150 171680 172405 175232 175972 178118 180608 182410 186184 190240 192560 194176 196544 197200 197374 198505 201280 202130 204595 206312 208828 214600 217792 219040 219965 223040 224516 225760 227254 228752 231404 232730 237800 240700 242720 245680 248936 251600 251822 257890 261035 265600 269120 272240 273800 275848 278800 279212 280645 282200 285940 289255 291856 303400 307100 308096 311170 315520 317608 323408 327352 336400 340300 343360 344810 349015 351944 356236 357425 364820 372368 380480 385120 393088 394400 394748 397010 402560 404260 409190 412624 417656 429200 435584 438080 439930 445295 446080 449032 451520 454508 456025 457504 462808 465460 475600 481400 485440 491360 493435 497872 503200 503644 505325 515780 522070 528989 538240 544480 547600 551696 557600 558424 561290 564400 568135 571880 578510 581825 583712 586177 606800 614200 622340 629555 635216 644725 646816 654704 672800 674917 680600 686720 689620 698030 703888 712472 714850 729640 744736 747881 760960 770240 777925 788800 789496 794020 808520 818380 825248 835312 858400 862025 876160 879860 890590 898064 903040 909016 912050 915008 925616 930920 951200 954193 962800 970880 982720 986870 992525 995744 1006400 1007288 1010650 1022975 1031560 1044140 1057978 1088960 1095200 1099825 1103392 1115200 1116848 1122580 1128800 1136270 1143760 1151329 1157020 1163650 1167424 1172354 1186651 1213600 1228400 1244680 1259110 1270432 1275797 1289450 1293632 1305175 1309408 1345600 1349834 1361200 1379240 1396060 1403225 1407776 1424944 1429700 1446275 1459280 1489472 1495762 1514003 1540480 1555850 1577600 1578992 1588040 1617040 1627741 1636760 1650496 1670624 1677679 1716800 1724050 1745075 1759720 1781180 1796128 1818032 1824100 1830016 1851232 1861840 1902400 1908386 1925600 1931659 1965440 1973740 1985050 1991488 2012800 2014576 2021300 2045950 2063120 2088280 2115956 2140487 2177920 2190400 2199650 2206784 2226475 2230400 2233696 2245160 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802476313 816510080 826467520 846382400 847129208 856194800 867541960 878121740 885491104 896289776 915815360 921063200 931741400 937883200 944089780 949320800 955603070 968961920 973053820 978629650 993185968 1020637600 1033084400 1041754240 1054458560 1058911510 1073714560 1079867200 1080820024 1084427450 1097652175 1106863880 1120362220 1144769200 1168454080 1180112225 1196609600 1211202400 1216317275 1236261760 1241482460 1252645952 1267168304 1302192800 1318073200 1342143200 1351025030 1369911680 1383579850 1388067136 1400452775 1404994784 1460567600 1490786240 1510543648 1526708800 1528964912 1545327200 1551853075 1556886112 1565807440 1583960380 1604952626 1624525219 1652935040 1692764800 1694258416 1712389600 1735083920 1756243480 1770982208 1792579552 1800149567 1831630720 1842126400 1863482800 1875766400 1888179560 1898641600 1911206140 1946107640 1957259300 1979950475 1986371936 2041275200 2066168800 2108917120 2117823020 2159734400 2161640048 2168854900 2195304350 2213727760 2240724440 2289538400 2296742551 2336908160 2360224450 2389007675 2393219200 2422404800 2432634550 2482964920 2505291904 2534336608 2604385600 2636146400 2647278775 2684286400 2702050060 2767159700 2776134272 2800905550 2809989568 2921135200 2981572480 3021087296 3053417600 3057929824 3090654400 3103706150 3113772224 3131614880 3167920760 3209905252 3249050438 3377562575 3388516832 3424779200 3470167840 3512486960 3541964416 3585159104 3600299134 3684252800 3726965600 3776359120 3797283200 3822412280 3892215280 3914518600 3917972587 3959900950 3972743872 4012381565 4082550400 4132337600 4235646040 4323280096 4337709800 4390608700 4427455520 4481448880 4579076800 4593485102 4720448900 4778015350 4844809600 4865269100 4965929840 5068673216 5208771200 5272292800 5294557550 5368572800 5404100120 5534319400 5601811100 5619979136 5842270400 6042174592 6115859648 6181308800 6207412300 6227544448 6263229760 6335841520 6419810504 6498100876 6755125150 6777033664 6849558400 6940335680 7024973920 7170318208 7200598268 7453931200 7552718240 7644824560 7784430560 7829037200 7835945174 7919801900 7945487744 8024763130 8122626095 8264675200 8471292080 8646560192 8675419600 8781217400 8854911040 8962897760 9000747835 9158153600 9186970204 9440897800 9556030700 9730538200 9931859680 10137346432 10544585600 10589115100 10808200240 11068638800 11203622200 11483712755 11684540800 12231719296 12414824600 12526459520 12671683040 12839621008 12996201752 13510250300 13554067328 13880671360 14049947840 14401196536 14907862400 15105436480 15289649120 15568861120 15658074400 15671890348 15839603800 16049526260 16245252190 16942584160 17293120384 17350839200 17562434800 17709822080 17925795520 18001495670 18373940408 18881795600 19112061400 19461076400 19589862935 19863719360 20061907825 21178230200 21616400480 22137277600 22407244400 22967425510 24829649200 25343366080 25679242016 25992403504 27020500600 28099895680 28802393072 30210872960 30579298240 31137722240 31316148800 31343780696 31679207600 32099052520 32490504380 33885168320 34701678400 35124869600 35851591040 36002991340 36747880816 37763591200 38224122800 38922152800 39179725870 39727438720 40123815650 40613130475 42356460400 43232800960 44274555200 44814488800 45003739175 45934851020 49659298400 50686732160 51358484032 51984807008 54041001200 57418563775 57604786144 61158596480 62632297600 62687561392 63358415200 64198105040 64981008760 66605533979 67770336640 69403356800 70249739200 72005982680 73495761632 75527182400 76448245600 77844305600 78359451740 80247631300 81226260950 84712920800 86465601920 88549110400 89628977600 90007478350 91869702040 97949314675 99318596800 102716968064 103969614016 108082002400 114837127550 115209572288 125375122784 126716830400 128396210080 129962017520 133211067958 140499478400 144011965360 146991523264 151054364800 152896491200 155688611200 156718903480 160495262600 162452521900 169425841600 179257955200 180014956700 183739404080 195898629350 198637193600 207939228032 216164004800 229674255100 230419144576 250750245568 253433660800 256792420160 259924035040 266422135916 288023930720 293983046528 305792982400 313437806960 320990525200 324905043800 333027669895 338851683200 360029913400 367478808160 391797258700 432328009600 459348510200 501500491136 513584840320 519848070080 532844271832 576047861440 626875613920 641981050400 649810087600 666055339790 720059826800 734957616320 783594517400 918697020400 1039696140160 1065688543664 1152095722880 1253751227840 1283962100800 1299620175200 1332110679580 1440119653600 1469915232640 1567189034800 1665138349475 1837394040800 2131377087328 2507502455680 2567924201600 2599240350400 2664221359160 2880239307200 3134378069600 3330276698950 3674788081600 4262754174656 5198480700800 5328442718320 5760478614400 6268756139200 6660553397900 7349576163200 8525508349312 10656885436640 12537512278400 13321106795800 21313770873280 26642213591600 42627541746560 53284427183200 106568854366400 213137708732800
- Sum of all divisors σ(n): 615198415562640
- Sum of proper divisors (its aliquot sum) s(n): 402060706829840
- 213137708732800 is an abundant number, because the sum of its proper divisors (402060706829840) is greater than itself. Its abundance is 188922998097040
Bases of 213137708732800
- Binary: 1100000111011000111111010110101011010001100000002
- Hexadecimal: 0xC1D8FD6AD180
- Base-36: 23JU40Q64G
Squares and roots of 213137708732800
- 213137708732800 squared (2131377087328002) is 45427682883867889381795840000
- 213137708732800 cubed (2131377087328003) is 9682352242907838134931891600514711552000000
-
The
square root of 213137708732800 is 14599236.5804791313 -
The
cube root of 213137708732800 is 59733.7936808277
Scales and comparisons
How big is 213137708732800?- 213,137,708,732,800 seconds is equal to 6,777,119 years, 44 weeks, 4 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 213,137,708,732,800 would take you about sixteen million, nine hundred forty-two thousand, seven hundred ninety-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 213137708732800 cubic inches would be around 4977.8 feet tall.
Recreational maths with 213137708732800
- 213137708732800 backwards is 008237807731312
- The number of decimal digits it has is: 15
- The sum of 213137708732800's digits is 52
- More coming soon!
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"Number 213137708732800 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 213137708732800 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/213137708732800/
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The information we have on file for 213137708732800 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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