5385907468800
5,385,907,468,800 is an even composite number composed of seven prime numbers multiplied together.
5385907468800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 5385907468800:
29 × 34 × 52 × 17 × 29 × 41 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 29 × 41 × 257)See below for interesting mathematical facts about the number 5385907468800 from the Numbermatics database.
Names of 5385907468800
- Cardinal: 5385907468800 can be written as Five trillion, three hundred eighty-five billion, nine hundred seven million, four hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 5.3859074688 × 1012
Factors of 5385907468800
Divisors of 5385907468800
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 29 30 32 34 36 40 41 45 48 50 51 54 58 60 64 68 72 75 80 81 82 85 87 90 96 100 102 108 116 120 123 128 135 136 144 145 150 153 160 162 164 170 174 180 192 200 204 205 216 225 232 240 246 255 256 257 261 270 272 288 290 300 306 320 324 328 340 348 360 369 384 400 405 408 410 425 432 435 450 459 464 480 492 493 510 512 514 522 540 544 576 580 600 612 615 640 648 656 675 680 696 697 720 725 738 765 768 771 783 800 810 816 820 850 864 870 900 918 928 960 984 986 1020 1025 1028 1044 1080 1088 1107 1152 1160 1189 1200 1224 1230 1275 1280 1285 1296 1305 1312 1350 1360 1377 1392 1394 1440 1450 1476 1479 1530 1536 1542 1566 1600 1620 1632 1640 1700 1728 1740 1800 1836 1845 1856 1920 1968 1972 2025 2040 2050 2056 2088 2091 2160 2175 2176 2214 2295 2304 2313 2320 2349 2378 2400 2448 2460 2465 2550 2560 2570 2592 2610 2624 2700 2720 2754 2784 2788 2880 2900 2952 2958 3060 3075 3084 3132 3200 3240 3264 3280 3321 3400 3456 3480 3485 3567 3600 3672 3690 3712 3825 3840 3855 3915 3936 3944 4050 4080 4100 4112 4176 4182 4320 4350 4352 4369 4428 4437 4590 4608 4626 4640 4698 4756 4800 4896 4920 4930 5100 5140 5184 5220 5248 5400 5440 5508 5535 5568 5576 5760 5800 5904 5916 5945 6120 6150 6168 6264 6273 6400 6425 6480 6525 6528 6560 6642 6800 6885 6912 6939 6960 6970 7134 7200 7344 7380 7395 7424 7453 7650 7680 7710 7830 7872 7888 8100 8160 8200 8224 8352 8364 8640 8700 8704 8738 8856 8874 9180 9225 9252 9280 9396 9512 9600 9792 9840 9860 10200 10280 10368 10440 10455 10496 10537 10701 10800 10880 11016 11070 11136 11152 11475 11520 11565 11600 11745 11808 11832 11890 12240 12300 12325 12336 12528 12546 12800 12850 12960 13050 13056 13107 13120 13284 13311 13600 13770 13824 13878 13920 13940 14268 14400 14688 14760 14790 14848 14906 15300 15420 15660 15744 15776 16200 16320 16400 16448 16605 16704 16728 17280 17400 17425 17476 17712 17748 17835 18360 18450 18504 18560 18792 18819 19024 19200 19275 19575 19584 19680 19720 20213 20400 20560 20736 20817 20880 20910 20992 21074 21402 21600 21760 21845 22032 22140 22185 22272 22304 22359 22950 23040 23130 23200 23490 23616 23664 23780 24480 24600 24650 24672 25056 25092 25700 25920 26100 26112 26214 26240 26568 26622 27200 27540 27675 27756 27840 27880 28536 28800 29376 29520 29580 29725 29812 30600 30840 31320 31365 31488 31552 31611 32103 32400 32640 32800 32896 33210 33408 33456 34425 34560 34695 34800 34850 34952 35424 35496 35670 36720 36900 36975 37008 37120 37265 37584 37638 38048 38400 38550 39150 39168 39321 39360 39440 39933 40426 40800 41120 41472 41634 41760 41820 42148 42804 43200 43520 43690 44064 44280 44370 44544 44608 44718 45900 46260 46400 46980 47232 47328 47560 48960 49200 49300 49344 50112 50184 51400 51840 52200 52275 52428 52480 52685 53136 53244 53505 54400 55080 55350 55512 55680 55760 56457 57072 57600 57825 58725 58752 59040 59160 59450 59624 60639 61200 61680 62640 62730 62976 63104 63222 64206 64800 65280 65535 65600 65792 66420 66555 66816 66912 67077 68850 69120 69390 69600 69700 69904 70848 70992 71340 73440 73800 73950 74016 74240 74530 75168 75276 76096 77100 78300 78336 78642 78720 78880 79866 80852 81600 82240 83025 83268 83520 83640 84296 85608 86400 87380 88128 88560 88740 89175 89216 89436 91800 92520 92800 93960 94095 94464 94656 94833 95120 96309 97920 98400 98600 98688 100224 100368 101065 102800 103680 104085 104400 104550 104856 104960 105370 106272 106488 107010 108800 109225 110160 110700 110925 111024 111360 111520 111795 112914 114144 115200 115650 117450 117504 117963 118080 118320 118900 119248 121278 122400 123360 125280 125460 126208 126444 126701 128412 129600 130560 131070 131200 131584 132840 133110 133632 133824 134154 137700 138780 139200 139400 139808 141696 141984 142680 146880 147600 147900 148032 149060 150336 150552 152192 154200 156600 156825 157284 157440 157760 158055 159732 160515 161704 163200 164480 166050 166536 167040 167280 168592 171216 172800 173475 174760 176256 177120 177480 178350 178432 178872 179129 181917 183600 185040 185600 186325 187920 188190 188928 189312 189666 190240 192618 195840 196605 196800 197200 197376 199665 200448 200736 201231 202130 205600 207360 208170 208800 209100 209712 210740 212544 212976 214020 217600 218450 220320 221400 221850 222048 222720 223040 223590 225828 228288 231300 234900 235008 235926 236160 236640 237800 238496 242556 244800 246720 250560 250920 252416 252888 253402 256824 259200 262140 262400 263425 265680 266220 267525 267648 268308 275400 277560 278400 278800 279616 282285 283392 283968 284499 285360 293760 295200 295800 296064 298120 300672 301104 303195 304384 305573 308400 313200 313650 314568 314880 315520 316110 319464 321030 323408 326400 327675 328960 332100 332775 333072 334080 334560 335385 337184 342432 345600 346950 349520 352512 353889 354240 354960 356700 356864 357744 358258 363834 367200 370080 371200 372650 375840 376380 378624 379332 380103 380480 385236 391680 393210 393600 394400 394752 399330 400896 401472 402462 404260 411200 416340 417600 418200 419424 421480 425088 425952 428040 436900 440640 442800 443700 444096 446080 447180 451656 456576 462600 469800 470475 471852 472320 473280 474165 475600 476992 481545 485112 489600 493440 501120 501840 505325 505776 506804 513648 518400 520425 524280 524800 526850 531360 532440 535050 535296 536616 537387 545751 550800 555120 556800 557600 558975 559232 564570 566784 567936 568998 570720 587520 589815 590400 591600 592128 596240 601344 602208 603693 606390 608768 611146 616800 626400 627300 629136 631040 632220 633505 638928 642060 646816 652800 655350 657920 664200 665550 666144 668160 669120 670770 674368 684864 693900 699040 705024 707778 708480 709920 713400 715488 716516 727668 734400 740160 745300 751680 752760 757248 758664 760206 760960 770472 786420 787200 788800 790275 798660 802575 802944 804924 808520 822400 832680 835200 836400 838848 842960 850176 851904 853497 856080 873800 881280 885600 887400 888192 892160 894360 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3495200 3525120 3538890 3542400 3549600 3552768 3577440 3582580 3613248 3638340 3666876 3700800 3758400 3763800 3774816 3786240 3793320 3801030 3804800 3815936 3852360 3880896 3932100 3993300 4014720 4024620 4042600 4046208 4054432 4109184 4163400 4194240 4214800 4250880 4259520 4267485 4280400 4292928 4299096 4366008 4406400 4440960 4460800 4471800 4478225 4516560 4547925 4551984 4561236 4565760 4583595 4718520 4723200 4732800 4741650 4769920 4815450 4817664 4829544 4836483 4851120 4889168 4934400 5011200 5018400 5030775 5033088 5057760 5068040 5111424 5136480 5174528 5194741 5242800 5313600 5324400 5329152 5352960 5366160 5373870 5394944 5457510 5478912 5500314 5551200 5592320 5645700 5662224 5679360 5689980 5701545 5707200 5723904 5732128 5821344 5875200 5898150 5921280 5962400 6013440 6022080 6036930 6063900 6069312 6081648 6111460 6163776 6291360 6310400 6322200 6335050 6389280 6420600 6439392 6448644 6468160 6549012 6661440 6691200 6707700 6710784 6743680 6815232 6827976 6841854 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13487360 13643775 13655952 13683708 13697280 13750785 13980800 14155560 14169600 14198400 14224950 14309760 14330320 14452992 14509449 14553360 14667504 14803200 15033600 15055200 15092325 15099264 15173280 15204120 15219200 15278650 15409440 15523584 15584223 15728400 15973200 16058880 16098480 16121610 16170400 16184832 16217728 16372530 16436736 16500942 16653600 16776960 16859200 17038080 17069940 17104635 17121600 17171712 17196384 17464032 17625600 17694450 17763840 17887200 17912900 18066240 18191700 18207936 18244944 18334380 18874080 18931200 18966600 19005150 19079680 19261800 19318176 19345932 19404480 19556672 20073600 20123100 20132352 20231040 20272160 20445696 20525562 20545920 20778964 20971200 21254400 21297600 21337425 21464640 21495480 21830040 22001256 22204800 22582800 22648896 22759920 22806180 22828800 22917975 22928512 23285376 23592600 23849600 24088320 24147720 24182415 24255600 24277248 24326592 24445840 24655104 24751413 25165440 25288800 25340200 25557120 25682400 25757568 25794576 25872640 25973705 26196048 26645760 26764800 26830800 26869350 26974720 27287550 27311904 27367416 27394560 27501570 27961600 28311120 28396800 28449900 28507725 28619520 28660640 28905984 29018898 29106720 29335008 29606400 30067200 30110400 30184650 30198528 30346560 30408240 30557300 30818880 31047168 31168446 31456800 31946400 32196960 32243220 32340800 32435456 32745060 33001884 33307200 33553920 33718400 34076160 34139880 34209270 34243200 34343424 34392768 34928064 35388900 35774400 35825800 36132480 36383400 36415872 36489888 36668760 37748160 37933200 38010300 38523600 38636352 38691864 38808960 39113344 40147200 40246200 40304025 40462080 40544320 40931325 41051124 41091840 41252355 41557928 41942400 42508800 42595200 42674850 42929280 42990960 43660080 44002512 44409600 45165600 45297792 45519840 45612360 45657600 45835950 45857024 46570752 46752669 47185200 47699200 48176640 48295440 48364830 48511200 48554496 48653184 48891680 49310208 49502826 50330880 50577600 50680400 51114240 51313905 51364800 51515136 51589152 51745280 51947410 52392096 53291520 53661600 53738700 54575100 54623808 54734832 55003140 55923200 56622240 56793600 56899800 57015450 57239040 57321280 58037796 58213440 58670016 60220800 60369300 60397056 60693120 60816480 61114600 61637760 62336892 62913600 63892800 64393920 64486440 64681600 64870912 65490120 66003768 66614400 67436800 68279760 68418540 68486400 68753925 68785536 69856128 70777800 71548800 71651600 72264960 72547245 72766800 72831744 72979776 73337520 75496320 75866400 76020600 77047200 77272704 77383728 77617920 77921115 78226688 80294400 80492400 80608050 80924160 81088640 81862650 82102248 82183680 82504710 83115856 83884800 85190400 85349700 85523175 85858560 85981920 87320160 88005024 88819200 90331200 90595584 91039680 91224720 91671900 91714048 93141504 93505338 94370400 95398400 96590880 96729660 97022400 97306368 97783360 99005652 100661760 101155200 101360800 102228480 102627810 102729600 103030272 103178304 103894820 104784192 107323200 107477400 109150200 109247616 109469664 110006280 113244480 113799600 114030900 114642560 116075592 116426880 117340032 120441600 120738600 120912075 121386240 121632960 122229200 123275520 123757065 124673784 125827200 127785600 128787840 128972880 129363200 129868525 130980240 132007536 133228800 134873600 136559520 136837080 136972800 137507850 137571072 139712256 140258007 141555600 143097600 143303200 144529920 145094490 145533600 145663488 145959552 146675040 150992640 151732800 152041200 154094400 154545408 154767456 155235840 155842230 156453376 160984800 161216100 162177280 163725300 164204496 165009420 166231712 167769600 170380800 170699400 171046350 171717120 171963840 174640320 176010048 180662400 181191168 182079360 182449440 183343800 187010676 188740800 193181760 193459320 194044800 194612736 195566720 198011304 202310400 202721600 205255620 205459200 206261775 206356608 207789640 209568384 214646400 214954800 218300400 218495232 218939328 220012560 226488960 227599200 228061800 229285120 232151184 232853760 233763345 234680064 240883200 241477200 241824150 242772480 243265920 244458400 246551040 247514130 249347568 251654400 255571200 256569525 257575680 257945760 258726400 259737050 261960480 264015072 266457600 273119040 273674160 275015700 275142144 279424512 280516014 283111200 286195200 286606400 290188980 291067200 291919104 293350080 301985280 303465600 304082400 308188800 309090816 309534912 311684460 321969600 322432200 324354560 327450600 328408992 330018840 332463424 341398800 342092700 343927680 349280640 352020096 361324800 362736225 364158720 364898880 366687600 374021352 377481600 386363520 386918640 388089600 389605575 391133440 396022608 404620800 405443200 410511240 410918400 412523550 412713216 415579280 419136768 420774021 429292800 429909600 436600800 436990464 437878656 440025120 452977920 455198400 456123600 458570240 464302368 465707520 467526690 469360128 482954400 483648300 486531840 488916800 495028260 498695136 503308800 511142400 513139050 515151360 515891520 519474100 523920960 528030144 546238080 547348320 550031400 561032028 566222400 573212800 580377960 582134400 583838208 586700160 606931200 608164800 616377600 618785325 619069824 623368920 643939200 644864400 654901200 656817984 660037680 664926848 682797600 684185400 687855360 698561280 701290035 704040192 722649600 725472450 728317440 729797760 733375200 748042704 754963200 772727040 773837280 776179200 779211150 782266880 792045216 810886400 821022480 825047100 825426432 831158560 838273536 841548042 858585600 859819200 873201600 875757312 880050240 905955840 910396800 912247200 928604736 935053380 965908800 967296600 973063680 977833600 990056520 997390272 1026278100 1031783040 1038948200 1047841920 1056060288 1092476160 1094696640 1100062800 1122064056 1132444800 1146425600 1160755920 1164268800 1168816725 1173400320 1213862400 1216329600 1232755200 1237570650 1238139648 1246737840 1287878400 1289728800 1309802400 1313635968 1320075360 1329853696 1365595200 1368370800 1375710720 1397122560 1402580070 1408080384 1450944900 1459595520 1466750400 1496085408 1509926400 1545454080 1547674560 1558422300 1584090432 1621772800 1642044960 1650094200 1662317120 1683096084 1719638400 1746403200 1751514624 1760100480 1820793600 1824494400 1857209472 1870106760 1931817600 1934593200 1955667200 1980113040 1994780544 2052556200 2063566080 2077896400 2095683840 2103870105 2112120576 2184952320 2189393280 2200125600 2244128112 2264889600 2292851200 2321511840 2328537600 2337633450 2346800640 2432659200 2475141300 2476279296 2493475680 2575756800 2579457600 2619604800 2627271936 2640150720 2659707392 2731190400 2736741600 2805160140 2901889800 2919191040 2933500800 2992170816 3095349120 3116844600 3168180864 3284089920 3300188400 3324634240 3366192168 3439276800 3492806400 3506450175 3520200960 3641587200 3648988800 3714418944 3740213520 3863635200 3869186400 3911334400 3960226080 3989561088 4105112400 4127132160 4155792800 4191367680 4207740210 4224241152 4378786560 4400251200 4488256224 4529779200 4643023680 4675266900 4865318400 4950282600 4986951360 5158915200 5239209600 5254543872 5280301440 5462380800 5473483200 5610320280 5803779600 5867001600 5984341632 6190698240 6233689200 6336361728 6568179840 6600376800 6649268480 6732384336 6878553600 6985612800 7012900350 7040401920 7297977600 7428837888 7480427040 7727270400 7738372800 7920452160 7979122176 8210224800 8311585600 8415480420 8757573120 8800502400 8976512448 9286047360 9350533800 9900565200 9973902720 10317830400 10478419200 10519350525 10560602880 10924761600 10946966400 11220640560 11607559200 11734003200 11968683264 12381396480 12467378400 12672723456 13136359680 13200753600 13298536960 13464768672 14025800700 14595955200 14960854080 15476745600 15840904320 16420449600 16623171200 16830960840 17601004800 17953024896 18572094720 18701067600 19801130400 19947805440 20635660800 20956838400 21038701050 21121205760 21893932800 22441281120 23215118400 23937366528 24934756800 26272719360 26401507200 26929537344 28051601400 29921708160 30953491200 31681808640 32840899200 33246342400 33661921680 35202009600 35906049792 37144189440 37402135200 39602260800 39895610880 42077402100 43787865600 44882562240 46430236800 49869513600 52803014400 53859074688 56103202800 59843416320 61906982400 63363617280 65681798400 66492684800 67323843360 71812099584 74804270400 79204521600 84154804200 89765124480 92860473600 99739027200 105606028800 107718149376 112206405600 119686832640 131363596800 134647686720 149608540800 158409043200 168309608400 179530248960 185720947200 199478054400 215436298752 224412811200 269295373440 299217081600 316818086400 336619216800 359060497920 448825622400 538590746880 598434163200 673238433600 897651244800 1077181493760 1346476867200 1795302489600 2692953734400 5385907468800
- Sum of all divisors σ(n): 22453572723120
- Sum of proper divisors (its aliquot sum) s(n): 17067665254320
- 5385907468800 is an abundant number, because the sum of its proper divisors (17067665254320) is greater than itself. Its abundance is 11681757785520
Bases of 5385907468800
- Binary: 10011100110000000010001100111111010000000002
- Hexadecimal: 0x4E60119FA00
- Base-36: 1WQ928W00
Squares and roots of 5385907468800
- 5385907468800 squared (53859074688002) is 29007999262475622973440000
- 5385907468800 cubed (53859074688003) is 156234399882712349350583360028672000000
-
The
square root of 5385907468800 is 2320755.7968903147 -
The
cube root of 5385907468800 is 17528.8313517005
Scales and comparisons
How big is 5385907468800?- 5,385,907,468,800 seconds is equal to 171,255 years, 10 weeks, 2 days.
-
To count from 1 to 5,385,907,468,800 would take you about four hundred twenty-eight thousand, one hundred thirty-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 5385907468800 cubic inches would be around 1460.7 feet tall.
Recreational maths with 5385907468800
- 5385907468800 backwards is 0088647095835
- The number of decimal digits it has is: 13
- The sum of 5385907468800's digits is 63
- More coming soon!
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MLA style:
"Number 5385907468800 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 5385907468800 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/5385907468800/
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Numbermatics. 2024. "Number 5385907468800 - Facts about the integer". https://numbermatics.com/n/5385907468800/
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