3997145904364800
3,997,145,904,364,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 3997145904364800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
3997145904364800 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 3997145904364800:
28 × 34 × 52 × 11 × 593 × 3413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 59 × 59 × 59 × 3413)See below for interesting mathematical facts about the number 3997145904364800 from the Numbermatics database.
Names of 3997145904364800
- Cardinal: 3997145904364800 can be written as Three quadrillion, nine hundred ninety-seven trillion, one hundred forty-five billion, nine hundred four million, three hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 3.9971459043648 × 1015
Factors of 3997145904364800
Divisors of 3997145904364800
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 59 60 64 66 72 75 80 81 88 90 96 99 100 108 110 118 120 128 132 135 144 150 160 162 165 176 177 180 192 198 200 216 220 225 236 240 256 264 270 275 288 295 297 300 320 324 330 352 354 360 384 396 400 405 432 440 450 472 480 495 528 531 540 550 576 590 594 600 640 648 649 660 675 704 708 720 768 792 800 810 825 864 880 885 891 900 944 960 990 1056 1062 1080 1100 1152 1180 1188 1200 1280 1296 1298 1320 1350 1408 1416 1440 1475 1485 1584 1593 1600 1620 1650 1728 1760 1770 1782 1800 1888 1920 1947 1980 2025 2112 2124 2160 2200 2304 2360 2376 2400 2475 2592 2596 2640 2655 2700 2816 2832 2880 2950 2970 3168 3186 3200 3240 3245 3300 3413 3456 3481 3520 3540 3564 3600 3776 3840 3894 3960 4050 4224 4248 4320 4400 4425 4455 4720 4752 4779 4800 4950 5184 5192 5280 5310 5400 5664 5760 5841 5900 5940 6336 6372 6400 6480 6490 6600 6826 6912 6962 7040 7080 7128 7200 7425 7552 7788 7920 7965 8100 8448 8496 8640 8800 8850 8910 9440 9504 9558 9600 9735 9900 10239 10368 10384 10443 10560 10620 10800 11328 11520 11682 11800 11880 12672 12744 12960 12980 13200 13275 13652 13924 14080 14160 14256 14400 14850 15104 15576 15840 15930 16200 16225 16992 17065 17280 17405 17523 17600 17700 17820 18880 19008 19116 19200 19470 19800 20478 20736 20768 20886 21120 21240 21600 22275 22656 23364 23600 23760 23895 25344 25488 25920 25960 26400 26550 27304 27848 28320 28512 28800 29205 29700 30717 31152 31329 31680 31860 32400 32450 33984 34130 34560 34810 35046 35200 35400 35640 37543 37760 38016 38232 38291 38940 39600 39825 40956 41536 41772 42240 42480 43200 44550 45312 46728 47200 47520 47790 48675 50976 51195 51840 51920 52215 52569 52800 53100 54608 55696 56640 57024 57600 58410 59400 61434 62304 62658 63360 63720 64800 64900 67968 68260 69620 70092 70400 70800 71280 75086 75520 76032 76464 76582 77880 79200 79650 81912 83072 83544 84960 85325 86400 87025 87615 89100 92151 93456 93987 94400 95040 95580 97350 101952 102390 103680 103840 104430 105138 105600 106200 109216 111392 112629 113280 114048 114873 116820 118800 119475 122868 124608 125316 126720 127440 129600 129800 135936 136520 139240 140184 141600 142560 146025 150172 152928 153164 153585 155760 156645 158400 159300 163824 166144 167088 169920 170650 172800 174050 175230 178200 184302 186912 187715 187974 188800 190080 191160 191455 194700 201367 203904 204780 205379 207680 208860 210276 211200 212400 218432 222784 225258 226560 228096 229746 233640 237600 238950 245736 249216 250632 254880 255975 259200 259600 261075 262845 273040 276453 278480 280368 281961 283200 285120 292050 300344 305856 306328 307170 311520 313290 316800 318600 327648 334176 337887 339840 341300 344619 348100 350460 356400 368604 373824 375430 375948 377600 380160 382320 382910 389400 402734 407808 409560 410758 415360 417720 420552 424800 436864 438075 445568 450516 459492 460755 467280 469935 475200 477900 491472 498432 501264 509760 511950 518400 519200 522150 525690 546080 552906 556960 560736 563145 563922 566400 570240 574365 584100 600688 604101 611712 612656 614340 616137 623040 626580 633600 637200 655296 668352 675774 679680 682600 689238 696200 700920 712800 737208 747648 750860 751896 764640 765820 767925 778800 783225 805468 819120 821516 830720 835440 841104 849600 873728 876150 891136 901032 918984 921510 934560 938575 939870 950400 955800 957275 982944 1002528 1006835 1013661 1019520 1023900 1026895 1033857 1038400 1044300 1051380 1092160 1105812 1113920 1121472 1126290 1127844 1132800 1140480 1148730 1168200 1201376 1208202 1223424 1225312 1228680 1232274 1246080 1253160 1274400 1310592 1314225 1336704 1351548 1365200 1378476 1382265 1392400 1401840 1409805 1425600 1474416 1495296 1501720 1503792 1529280 1531640 1535850 1557600 1566450 1610936 1638240 1643032 1670880 1682208 1689435 1699200 1723095 1752300 1802064 1812303 1837968 1843020 1848411 1869120 1877150 1879740 1900800 1911600 1914550 1965888 2005056 2013670 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7807688064 7841230980 7974133200 8019440775 8133008400 8363979712 8411502324 8505742080 8554070160 8675208960 8699054400 8872372800 8970899850 9124341504 9149634450 9409477176 9504522400 9568959840 9623328930 9731145600 9759610080 9801538725 9925027200 10264884192 10438865280 10454974640 10514377905 10585661823 10632177600 10646847360 10692587700 10844011200 11215336432 11405426880 11482751808 11598739200 11711532096 11761846470 11829830400 11961199800 12199512600 12545969568 12617253486 12758613120 12831105240 13012813440 13048581600 13068718300 13308559200 13686512256 14019170540 14114215764 14176236800 14256783600 14353439760 14458681600 14639415120 15207235840 15310335744 15397326288 15421087594 15615376128 15682461960 15948266400 16038881550 16266016800 16727959424 16823004648 17108140320 17398108800 17523963175 17642769705 17744745600 17941799700 18299268900 18818954352 18925880229 19009044800 19137919680 19246657860 19462291200 19519220160 19603077450 19850054400 20529768384 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57027134400 57413759040 58557660480 58809232350 61589305152 61684350376 62729847840 63086267430 63793065600 64155526200 65064067200 67292018592 68432561280 69394894173 70095852700 70571078820 71767198800 73197075600 75275817408 75703520916 76036179200 76551678720 76986631440 77105437970 78076880640 78412309800 82119073536 83639797120 84115023240 84685294584 85540701600 88213848525 89722691456 92526525564 94094771760 94629401145 95689598400 96233289300 97596100800 100367756544 100938027888 102648841920 104388652800 104549746400 105143779050 105856618230 106468473600 112153364320 112913726112 113555281374 114054268800 114827518080 115658156955 117115320960 117618464700 123178610304 123368700752 125459695680 126172534860 127586131200 128311052400 130128134400 134584037184 136865122560 138789788346 140191705400 141142157640 143534397600 146394151200 150551634816 151407041832 153973262880 154210875940 156824619600 157715668575 167279594240 168230046480 169370589168 171081403200 176427697050 179445382912 185053051128 188189543520 189258802290 191379196800 192466578600 192763594925 195192201600 201876055776 205297683840 208184682519 209099492800 210287558100 211713236460 224306728640 225827452224 227110562748 228108537600 229655036160 231316313910 234230641920 235236929400 246357220608 246737401504 250919391360 252345069720 256622104800 264641545575 269168074368 277579576692 280383410800 282284315280 283888203435 287068795200 292788302400 301103269632 302814083664 307946525760 308421751880 313649239200 315431337150 336460092960 338741178336 342162806400 346974470865 352855394100 370106102256 376379087040 378517604580 382758393600 384933157200 385527189850 390384403200 403752111552 410595367680 416369365038 418198985600 420575116200 423426472920 448613457280 451654904448 454221125496 462632627820 470473858800 473147005725 493474803008 501838782720 504690139440 513244209600 529283091150 538336148736 555159153384 560766821600 564568630560 567776406870 574137590400 578290784775 585576604800 605628167328 615893051520 616843503760 624554047557 627298478400 630862674300 672920185920 677482356672 684325612800 693948941730 705710788200 740212204512 752758174080 757035209160 769866314400 771054379700 807504223104 832738730076 836397971200 841150232400 846852945840 897226914560 903309808896 908442250992 925265255640 940947717600 946294011450 986949606016 1009380278880 1026488419200 1040923412595 1058566182300 1110318306768 1121533643200 1129137261120 1135552813740 1148275180800 1156581569550 1171153209600 1211256334656 1231786103040 1233687007520 1249108095114 1254596956800 1261725348600 1345840371840 1354964713344 1387897883460 1411421576400 1419441017175 1480424409024 1505516348160 1514070418320 1539732628800 1542108759400 1615008446208 1665477460152 1682300464800 1693705891680 1734872354325 1816884501984 1850530511280 1881895435200 1892588022900 1973899212032 2018760557760 2052976838400 2081846825190 2117132364600 2220636613536 2243067286400 2258274522240 2271105627480 2313163139100 2422512669312 2467374015040 2498216190228 2509193913600 2523450697200 2691680743680 2709929426688 2775795766920 2822843152800 2838882034350 2960848818048 3028140836640 3079465257600 3084217518800 3122770237785 3330954920304 3364600929600 3387411783360 3469744708650 3633769003968 3701061022560 3763790870400 3785176045800 4037521115520 4163693650380 4234264729200 4441273227072 4486134572800 4516549044480 4542211254960 4626326278200 4845025338624 4934748030080 4996432380456 5046901394400 5204617062975 5551591533840 5645686305600 5677764068700 5921697636096 6056281673280 6158930515200 6168435037600 6245540475570 6661909840608 6729201859200 6774823566720 6939489417300 7267538007936 7402122045120 7527581740800 7570352091600 8075042231040 8327387300760 8468529458400 8882546454144 9084422509920 9252652556400 9869496060160 9992864760912 10093802788800 10409234125950 11103183067680 11291372611200 11355528137400 12112563346560 12336870075200 12491080951140 13323819681216 13458403718400 13549647133440 13878978834600 14535076015872 14804244090240 15140704183200 15613851188925 16654774601520 16937058916800 17765092908288 18168845019840 18505305112800 19985729521824 20187605577600 20818468251900 22206366135360 22582745222400 22711056274800 24225126693120 24673740150400 24982161902280 26647639362432 27757957669200 29608488180480 30281408366400 31227702377850 33309549203040 33874117833600 36337690039680 37010610225600 39971459043648 40375211155200 41636936503800 44412732270720 45422112549600 49347480300800 49964323804560 53295278724864 55515915338400 60562816732800 62455404755700 66619098406080 67748235667200 72675380079360 74021220451200 79942918087296 83273873007600 88825464541440 90844225099200 99928647609120 111031830676800 121125633465600 124910809511400 133238196812160 148042440902400 159885836174592 166547746015200 181688450198400 199857295218240 222063661353600 249821619022800 266476393624320 333095492030400 363376900396800 399714590436480 444127322707200 499643238045600 666190984060800 799429180872960 999286476091200 1332381968121600 1998572952182400 3997145904364800
- Sum of all divisors σ(n): 16405623642260160
- Sum of proper divisors (its aliquot sum) s(n): 12408477737895360
- 3997145904364800 is an abundant number, because the sum of its proper divisors (12408477737895360) is greater than itself. Its abundance is 8411331833530560
Bases of 3997145904364800
- Binary: 11100011001101100010000011011011111010111101000000002
- Hexadecimal: 0xE33620DBEBD00
- Base-36: 13CVBH87K00
Squares and roots of 3997145904364800
- 3997145904364800 squared (39971459043648002) is 15977175380780294867691479040000
- 3997145904364800 cubed (39971459043648003) is 63863101136604069533213868948171703713792000000
-
The
square root of 3997145904364800 is 63222985.5698447699 -
The
cube root of 3997145904364800 is 158702.3412601235
Scales and comparisons
How big is 3997145904364800?- 3,997,145,904,364,800 seconds is equal to 127,096,875 years, 40 weeks, 2 days.
-
To count from 1 to 3,997,145,904,364,800 would take you about three hundred eighty-one million, two hundred ninety thousand, six hundred twenty-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 3997145904364800 cubic inches would be around 13225.2 feet tall.
Recreational maths with 3997145904364800
- 3997145904364800 backwards is 0084634095417993
- 3997145904364800 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3997145904364800's digits is 72
- More coming soon!
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The information we have on file for 3997145904364800 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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