12313876468940800
12,313,876,468,940,800 is an even composite number composed of five prime numbers multiplied together.
12313876468940800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 12313876468940800:
214 × 52 × 13 × 192 × 25312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 19 × 19 × 2531 × 2531)See below for interesting mathematical facts about the number 12313876468940800 from the Numbermatics database.
Names of 12313876468940800
- Cardinal: 12313876468940800 can be written as Twelve quadrillion, three hundred thirteen trillion, eight hundred seventy-six billion, four hundred sixty-eight million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.23138764689408 × 1016
Factors of 12313876468940800
Divisors of 12313876468940800
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 128 130 152 160 190 200 208 247 256 260 304 320 325 361 380 400 416 475 494 512 520 608 640 650 722 760 800 832 950 988 1024 1040 1216 1235 1280 1300 1444 1520 1600 1664 1805 1900 1976 2048 2080 2432 2470 2531 2560 2600 2888 3040 3200 3328 3610 3800 3952 4096 4160 4693 4864 4940 5062 5120 5200 5776 6080 6175 6400 6656 7220 7600 7904 8192 8320 9025 9386 9728 9880 10124 10240 10400 11552 12160 12350 12655 12800 13312 14440 15200 15808 16384 16640 18050 18772 19456 19760 20248 20480 20800 23104 23465 24320 24700 25310 25600 26624 28880 30400 31616 32903 33280 36100 37544 38912 39520 40496 40960 41600 46208 46930 48089 48640 49400 50620 51200 53248 57760 60800 63232 63275 65806 66560 72200 75088 77824 79040 80992 81920 83200 92416 93860 96178 97280 98800 101240 102400 106496 115520 117325 121600 126464 126550 131612 133120 144400 150176 155648 158080 161984 164515 166400 184832 187720 192356 194560 197600 202480 204800 212992 231040 234650 240445 243200 252928 253100 263224 266240 288800 300352 311296 316160 323968 329030 332800 369664 375440 384712 389120 395200 404960 409600 462080 469300 480890 486400 505856 506200 526448 532480 577600 600704 625157 632320 647936 658060 665600 739328 750880 769424 778240 790400 809920 822575 913691 924160 938600 961780 972800 1011712 1012400 1052896 1064960 1155200 1201408 1202225 1250314 1264640 1295872 1316120 1331200 1478656 1501760 1538848 1556480 1580800 1619840 1645150 1827382 1848320 1877200 1923560 1945600 2023424 2024800 2105792 2310400 2402816 2404450 2500628 2529280 2591744 2632240 2662400 2957312 3003520 3077696 3125785 3161600 3239680 3290300 3654764 3696640 3754400 3847120 3891200 4046848 4049600 4211584 4568455 4620800 4805632 4808900 5001256 5058560 5183488 5264480 5324800 5914624 6007040 6155392 6251570 6323200 6405961 6479360 6580600 7309528 7393280 7508800 7694240 7782400 8099200 8423168 9136910 9241600 9611264 9617800 10002512 10117120 10366976 10528960 11877983 12014080 12310784 12503140 12646400 12811922 12958720 13161200 14619056 14786560 15017600 15388480 15628925 16198400 16846336 18273820 18483200 19222528 19235600 20005024 20234240 20733952 21057920 22842275 23755966 24028160 24621568 25006280 25292800 25623844 25917440 26322400 29238112 29573120 30035200 30776960 31257850 32029805 32396800 33692672 36547640 36966400 38445056 38471200 40010048 41467904 42115840 45684550 47511932 48056320 49243136 50012560 50585600 51247688 51834880 52644800 58476224 59389915 60070400 61553920 62515700 64059610 64793600 67385344 73095280 73932800 76890112 76942400 80020096 83277493 84231680 91369100 95023864 96112640 98486272 100025120 101171200 102495376 103669760 105289600 116952448 118779830 120140800 121713259 123107840 125031400 128119220 129587200 134770688 146190560 147865600 153884800 160040192 160149025 166554986 168463360 182738200 190047728 192225280 196972544 200050240 204990752 207339520 210579200 233904896 237559660 240281600 243426518 246215680 250062800 256238440 259174400 269541376 292381120 296949575 307769600 320080384 320298050 333109972 336926720 365476400 380095456 384450560 393945088 400100480 409981504 416387465 421158400 467809792 475119320 480563200 486853036 492431360 500125600 512476880 518348800 539082752 584762240 593899150 608566295 615539200 640160768 640596100 666219944 673853440 730952800 760190912 787890176 800200960 819963008 832774930 842316800 935619584 950238640 961126400 973706072 984862720 1000251200 1024953760 1036697600 1169524480 1187798300 1217132590 1231078400 1280321536 1281192200 1332439888 1347706880 1461905600 1520381824 1582272367 1600401920 1639926016 1665549860 1684633600 1871239168 1900477280 1922252800 1947412144 1969725440 2000502400 2049907520 2081937325 2312551921 2339048960 2375596600 2434265180 2462156800 2560643072 2562384400 2664879776 2695413760 2923811200 3040763648 3042831475 3164544734 3200803840 3279852032 3331099720 3369267200 3742478336 3800954560 3894824288 3939450880 4001004800 4099815040 4163874650 4625103842 4678097920 4751193200 4868530360 4924313600 5121286144 5124768800 5329759552 5847622400 6081527296 6085662950 6329089468 6401607680 6559704064 6662199440 6738534400 7484956672 7601909120 7789648576 7911361835 8002009600 8199630080 8327749300 9250207684 9356195840 9502386400 9737060720 9848627200 10242572288 10249537600 10659519104 11562759605 11695244800 12163054592 12171325900 12658178936 12803215360 13119408128 13324398880 13477068800 14969913344 15203818240 15579297152 15822723670 16004019200 16399260160 16655498600 18500415368 18712391680 19004772800 19474121440 19697254400 20499075200 21319038208 23125519210 23390489600 24326109184 24342651800 25316357872 25606430720 26238816256 26648797760 30063174973 30407636480 31158594304 31645447340 32008038400 32798520320 33310997200 37000830736 37424783360 38009545600 38948242880 39556809175 40998150400 42638076416 46251038420 46780979200 48652218368 48685303600 50632715744 51212861440 52477632512 53297595520 57813798025 60126349946 60815272960 62317188608 63290894680 64016076800 65597040640 66621994400 74001661472 74849566720 76019091200 77896485760 79113618350 81996300800 85276152832 92502076840 93561958400 97304436736 97370607200 101265431488 104955265024 106595191040 115627596050 120252699892 121630545920 124634377216 126581789360 128032153600 131194081280 133243988800 148003322944 150315874865 152038182400 155792971520 158227236700 163992601600 170552305664 185004153680 187123916800 194608873472 194741214400 202530862976 213190382080 231255192100 240505399784 243261091840 249268754432 253163578720 256064307200 262388162560 266487977600 296006645888 300631749730 304076364800 311585943040 316454473400 327985203200 341104611328 370008307360 374247833600 389482428800 405061725952 426380764160 462510384200 481010799568 486522183680 498537508864 506327157440 524776325120 532975955200 592013291776 601263499460 608152729600 623171886080 632908946800 655970406400 682209222656 740016614720 751579374325 778964857600 810123451904 852761528320 925020768400 962021599136 973044367360 997075017728 1012654314880 1065951910400 1184026583552 1202526998920 1216305459200 1246343772160 1265817893600 1311940812800 1364418445312 1480033229440 1503158748650 1557929715200 1620246903808 1705523056640 1850041536800 1924043198272 1994150035456 2025308629760 2131903820800 2368053167104 2405053997840 2432610918400 2492687544320 2531635787200 2623881625600 2960066458880 3006317497300 3115859430400 3240493807616 3411046113280 3700083073600 3848086396544 4050617259520 4263807641600 4736106334208 4810107995680 4865221836800 4985375088640 5063271574400 5920132917760 6012634994600 6231718860800 6480987615232 6822092226560 7400166147200 7696172793088 8101234519040 8527615283200 9472212668416 9620215991360 9970750177280 10126543148800 11840265835520 12025269989200 12463437721600 12961975230464 14800332294400 15392345586176 16202469038080 17055230566400 18944425336832 19240431982720 20253086297600 23680531671040 24050539978400 24926875443200 25923950460928 29600664588800 30784691172352 32404938076160 34110461132800 37888850673664 38480863965440 40506172595200 47361063342080 48101079956800 49853750886400 59201329177600 61569382344704 64809876152320 76961727930880 81012345190400 94722126684160 96202159913600 118402658355200 123138764689408 129619752304640 153923455861760 162024690380800 189444253368320 192404319827200 236805316710400 246277529378816 307846911723520 324049380761600 384808639654400 473610633420800 492555058757632 615693823447040 648098761523200 769617279308800 947221266841600 1231387646894080 1539234558617600 2462775293788160 3078469117235200 6156938234470400 12313876468940800
- Sum of all divisors σ(n): 34722205301521374
- Sum of proper divisors (its aliquot sum) s(n): 22408328832580574
- 12313876468940800 is an abundant number, because the sum of its proper divisors (22408328832580574) is greater than itself. Its abundance is 10094452363639774
Bases of 12313876468940800
- Binary: 1010111011111101100111110010001011110101000000000000002
- Hexadecimal: 0x2BBF67C8BD4000
- Base-36: 3D8WKR6QL8G
Squares and roots of 12313876468940800
- 12313876468940800 squared (123138764689408002) is 151631553692333944987073904640000
- 12313876468940800 cubed (123138764689408003) is 1867172220960964442887683693967211141005312000000
-
The
square root of 12313876468940800 is 110967907.3829041801 -
The
cube root of 12313876468940800 is 230921.7982632103
Scales and comparisons
How big is 12313876468940800?- 12,313,876,468,940,800 seconds is equal to 391,543,182 years, 20 weeks, 2 days, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 12,313,876,468,940,800 would take you about one billion, one hundred seventy-four million, six hundred twenty-nine thousand, five hundred forty-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 12313876468940800 cubic inches would be around 19243.5 feet tall.
Recreational maths with 12313876468940800
- 12313876468940800 backwards is 00804986467831321
- The number of decimal digits it has is: 17
- The sum of 12313876468940800's digits is 70
- More coming soon!
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