216138588070400
216,138,588,070,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 216138588070400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
216138588070400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 216138588070400:
29 × 52 × 19 × 31 × 47 × 241 × 2531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 31 × 47 × 241 × 2531)See below for interesting mathematical facts about the number 216138588070400 from the Numbermatics database.
Names of 216138588070400
- Cardinal: 216138588070400 can be written as Two hundred sixteen trillion, one hundred thirty-eight billion, five hundred eighty-eight million, seventy thousand, four hundred.
Scientific notation
- Scientific notation: 2.161385880704 × 1014
Factors of 216138588070400
Divisors of 216138588070400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 31 32 38 40 47 50 62 64 76 80 94 95 100 124 128 152 155 160 188 190 200 235 241 248 256 304 310 320 376 380 400 470 475 482 496 512 589 608 620 640 752 760 775 800 893 940 950 964 992 1175 1178 1205 1216 1240 1280 1457 1504 1520 1550 1600 1786 1880 1900 1928 1984 2350 2356 2410 2432 2480 2531 2560 2914 2945 3008 3040 3100 3200 3572 3760 3800 3856 3968 4465 4579 4700 4712 4820 4864 4960 5062 5828 5890 6016 6025 6080 6200 6400 7144 7285 7471 7520 7600 7712 7936 8930 9158 9400 9424 9640 9728 9920 10124 11327 11656 11780 12032 12050 12160 12400 12655 12800 14288 14570 14725 14942 15040 15200 15424 15872 17860 18316 18800 18848 19280 19840 20248 22325 22654 22895 23312 23560 24064 24100 24320 24800 25310 27683 28576 29140 29450 29884 30080 30400 30848 35720 36425 36632 37355 37600 37696 38560 39680 40496 44650 45308 45790 46624 47120 48089 48200 48640 49600 50620 55366 56635 57152 58280 58900 59768 60160 60800 61696 63275 71440 72850 73264 74710 75200 75392 77120 78461 79360 80992 89300 90616 91580 93248 94240 96178 96400 99200 101240 110732 113270 114304 114475 116560 117800 118957 119536 120320 121600 123392 126550 138415 141949 142880 145700 146528 149420 150400 150784 154240 156922 161984 178600 181232 183160 186496 186775 188480 192356 192800 198400 202480 215213 221464 226540 228608 228950 233120 235600 237914 239072 240445 243200 253100 276830 283175 283898 285760 291400 293056 298840 300800 301568 308480 313844 323968 351137 357200 362464 366320 372992 373550 376960 384712 385600 392305 396800 404960 430426 442928 453080 457216 457900 466240 471200 475828 478144 480890 506200 553660 566350 567796 571520 582800 586112 594785 597680 601600 609971 616960 627688 647936 692075 702274 709745 714400 724928 732640 745984 747100 753920 769424 771200 784610 809920 860852 885856 906160 915800 932480 942400 951656 956288 961780 1012400 1076065 1107320 1132700 1135592 1143040 1165600 1172224 1189570 1195360 1202225 1219942 1255376 1295872 1384150 1404548 1419490 1428800 1449856 1465280 1490759 1494200 1507840 1538848 1542400 1569220 1619840 1721704 1755685 1771712 1812320 1831600 1864960 1884800 1903312 1912576 1923560 1961525 2024800 2152130 2214640 2260183 2265400 2271184 2286080 2331200 2344448 2379140 2390720 2404450 2439884 2510752 2768300 2809096 2838980 2857600 2899712 2930560 2973925 2981518 2988400 3049855 3077696 3084800 3138440 3239680 3443408 3511370 3543424 3548725 3624640 3663200 3687667 3729920 3769600 3806624 3825152 3847120 3923050 4049600 4304260 4429280 4520366 4530800 4542368 4662400 4758280 4781440 4808900 4879768 5021504 5380325 5536600 5618192 5677960 5715200 5799424 5861120 5947850 5963036 5976800 6099710 6155392 6276880 6479360 6671603 6886816 7022740 7086848 7097450 7249280 7326400 7375334 7453795 7539200 7613248 7694240 7846100 8099200 8608520 8778425 8858560 9040732 9061600 9084736 9324800 9516560 9562880 9617800 9759536 10043008 10760650 11073200 11236384 11300915 11355920 11430400 11589449 11722240 11895700 11926072 11953600 12199420 12310784 12553760 13343206 13773632 14045480 14173696 14194900 14498560 14652800 14750668 14907590 15226496 15249275 15388480 15692200 16198400 17217040 17556850 17717120 18081464 18123200 18169472 18438335 18649600 18909101 19033120 19125760 19235600 19519072 20086016 21521300 22146400 22472768 22601830 22711840 23178898 23791400 23852144 23907200 24398840 24621568 25107520 26686412 27547264 28090960 28389800 28668637 28997120 29305600 29501336 29815180 30452992 30498550 30776960 31384400 32396800 33358015 34434080 35113700 35434240 36162928 36246400 36338944 36876670 37268975 37818202 38066240 38471200 39038144 40172032 43042600 44292800 44945536 45203660 45423680 46357796 47582800 47704288 47814400 48797680 50215040 53372824 55094528 56181920 56504575 56779600 57337274 57947245 58611200 59002672 59630360 60905984 60997100 61553920 62768800 66716030 68868160 70065673 70227400 70868480 72325856 72492800 72677888 73753340 74537950 75636404 76132480 76942400 78076288 86085200 88585600 89891072 90407320 90847360 92191675 92715592 94545505 95165600 95408576 95628800 97595360 100430080 106745648 110189056 112363840 113009150 113559200 114674548 115894490 118005344 119260720 121994200 123107840 125537600 133432060 137736320 140131346 140454800 143343185 144651712 144985600 147506680 149075900 151272808 152264960 153884800 156152576 166790075 172170400 177171200 179782144 180814640 181694720 184383350 185431184 189091010 190331200 190817152 195190720 200860160 213491296 224727680 226018300 227118400 229349096 231788980 236010688 238521440 243988400 251075200 266864120 275472640 280262692 280909600 286686370 289303424 289736225 295013360 298151800 302545616 304529920 307769600 312305152 333580150 344340800 350328365 354342400 359272919 361629280 363389440 368766700 370862368 378182020 380662400 381634304 390381440 426982592 449455360 452036600 454236800 458698192 463577960 472021376 472727525 477042880 487976800 502150400 533728240 544704103 550945280 560525384 561819200 573372740 578606848 579472450 590026720 596303600 605091232 615539200 667160300 688681600 700656730 716715925 718545838 723258560 737533400 741724736 756364040 761324800 763268608 780762880 853965184 888727747 898910720 904073200 908473600 917396384 927155920 944042752 945455050 954085760 975953600 1004300800 1067456480 1089408206 1121050768 1123638400 1146745480 1157213696 1158944900 1180053440 1192607200 1210182464 1334320600 1377363200 1401313460 1433431850 1437091676 1446517120 1475066800 1483449472 1512728080 1522649600 1561525760 1707930368 1751641825 1777455494 1796364595 1808146400 1816947200 1834792768 1854311840 1888085504 1890910100 1908171520 1951907200 2134912960 2178816412 2242101536 2247276800 2293490960 2317889800 2360106880 2385214400 2420364928 2668641200 2723520515 2754726400 2802626920 2866863700 2874183352 2893034240 2950133600 2966898944 3025456160 3415860736 3503283650 3554910988 3592729190 3616292800 3669585536 3708623680 3781820200 3816343040 3903814400 4269825920 4357632824 4443638735 4484203072 4494553600 4586981920 4635779600 4720213760 4770428800 4840729856 5337282400 5447041030 5605253840 5733727400 5748366704 5786068480 5900267200 5933797888 6050912320 7006567300 7109821976 7185458380 7232585600 7339171072 7417247360 7563640400 7807628800 8539651840 8715265648 8887277470 8968406144 8981822975 9173963840 9271559200 9440427520 9540857600 9681459712 10674564800 10894082060 11210507680 11467454800 11496733408 11800534400 12101824640 13617602575 14013134600 14219643952 14370916760 14465171200 14678342144 14834494720 15127280800 16885827193 17079303680 17430531296 17774554940 17936812288 17963645950 18347927680 18543118400 19081715200 21349129600 21788164120 22218193675 22421015360 22934909600 22993466816 23601068800 24203649280 27235205150 28026269200 28439287904 28741833520 28930342400 29668989440 30254561600 33771654386 34861062592 35549109880 35873624576 35927291900 36695855360 37086236800 42698259200 43576328240 44436387350 44842030720 45869819200 45986933632 47202137600 48407298560 54470410300 56052538400 56878575808 57483667040 60509123200 67543308772 69722125184 71098219760 71854583800 73391710720 74172473600 84429135965 85396518400 87152656480 88872774700 89684061440 91739638400 91973867264 108940820600 112105076800 113757151616 114967334080 121018246400 135086617544 139444250368 142196439520 143709167600 148344947200 168858271930 174305312960 177745549400 179368122880 183479276800 183947734528 217881641200 224210153600 227514303232 229934668160 242036492800 270173235088 278888500736 284392879040 287418335200 337716543860 348610625920 355491098800 366958553600 422145679825 435763282400 448420307200 455028606464 459869336320 540346470176 568785758080 574836670400 675433087720 697221251840 710982197600 844291359650 871526564800 896840614400 919738672640 1080692940352 1137571516160 1149673340800 1350866175440 1394442503680 1421964395200 1688582719300 1743053129600 2161385880704 2275143032320 2299346681600 2701732350880 2843928790400 3377165438600 3486106259200 4322771761408 4598693363200 5403464701760 5687857580800 6754330877200 6972212518400 8645543522816 10806929403520 11375715161600 13508661754400 21613858807040 27017323508800 43227717614080 54034647017600 108069294035200 216138588070400
- Sum of all divisors σ(n): 596949518499840
- Sum of proper divisors (its aliquot sum) s(n): 380810930429440
- 216138588070400 is an abundant number, because the sum of its proper divisors (380810930429440) is greater than itself. Its abundance is 164672342359040
Bases of 216138588070400
- Binary: 1100010010010011101011111100001110100010000000002
- Hexadecimal: 0xC493AFC3A200
- Base-36: 24M4P2SY68
Squares and roots of 216138588070400
- 216138588070400 squared (2161385880704002) is 46715889253066057195356160000
- 216138588070400 cubed (2161385880704003) is 10097106343610870876347371006055153664000000
-
The
square root of 216138588070400 is 14701652.5625658831 -
The
cube root of 216138588070400 is 60012.8294852837
Scales and comparisons
How big is 216138588070400?- 216,138,588,070,400 seconds is equal to 6,872,538 years, 28 weeks, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 216,138,588,070,400 would take you about seventeen million, one hundred eighty-one thousand, three hundred forty-six 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 216138588070400 cubic inches would be around 5001.1 feet tall.
Recreational maths with 216138588070400
- 216138588070400 backwards is 004070885831612
- The number of decimal digits it has is: 15
- The sum of 216138588070400's digits is 53
- More coming soon!
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The information we have on file for 216138588070400 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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