4142858130590400
4,142,858,130,590,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 4142858130590400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
4142858130590400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 4142858130590400:
26 × 32 × 52 × 13 × 1699 × 3037 × 4289
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 1699 × 3037 × 4289)See below for interesting mathematical facts about the number 4142858130590400 from the Numbermatics database.
Names of 4142858130590400
- Cardinal: 4142858130590400 can be written as Four quadrillion, one hundred forty-two trillion, eight hundred fifty-eight billion, one hundred thirty million, five hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 4.1428581305904 × 1015
Factors of 4142858130590400
Divisors of 4142858130590400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 130 144 150 156 160 180 192 195 200 208 225 234 240 260 288 300 312 320 325 360 390 400 416 450 468 480 520 576 585 600 624 650 720 780 800 832 900 936 960 975 1040 1170 1200 1248 1300 1440 1560 1600 1699 1800 1872 1950 2080 2340 2400 2496 2600 2880 2925 3037 3120 3398 3600 3744 3900 4160 4289 4680 4800 5097 5200 5850 6074 6240 6796 7200 7488 7800 8495 8578 9111 9360 10194 10400 11700 12148 12480 12867 13592 14400 15185 15291 15600 16990 17156 18222 18720 20388 20800 21445 22087 23400 24296 25485 25734 27184 27333 30370 30582 31200 33980 34312 36444 37440 38601 39481 40776 42475 42890 44174 45555 46800 48592 50970 51468 54368 54666 55757 60740 61164 62400 64335 66261 67960 68624 72888 75925 76455 77202 78962 81552 84950 85780 88348 91110 93600 97184 101940 102936 107225 108736 109332 110435 111514 118443 121480 122328 127425 128670 132522 135920 136665 137248 145776 151850 152910 154404 157924 163104 167271 169900 171560 176696 182220 187200 193005 194368 197405 198783 203880 205872 214450 218664 220870 223028 227775 236886 242960 244656 254850 257340 265044 271840 273330 274496 278785 291552 303700 305820 308808 315848 321675 326208 331305 334542 339800 343120 353392 355329 364440 382275 386010 394810 397566 407760 411744 428900 437328 441740 446056 455550 473772 485920 489312 501813 509700 514680 530088 543680 546660 552175 557570 583104 592215 607400 611640 617616 631696 643350 662610 669084 679600 683325 686240 706784 710658 728880 764550 772020 789620 795132 815520 823488 836355 857800 874656 883480 892112 911100 947544 965025 971840 978624 987025 993915 1003626 1019400 1029360 1060176 1093320 1104350 1115140 1184430 1214800 1223280 1235232 1263392 1286700 1325220 1338168 1359200 1366650 1372480 1393925 1413568 1421316 1457760 1529100 1544040 1579240 1590264 1631040 1656525 1672710 1715600 1749312 1766960 1776645 1784224 1822200 1895088 1930050 1974050 1987830 2007252 2038800 2058720 2120352 2186640 2208700 2230280 2368860 2429600 2446560 2470464 2509065 2526784 2573400 2650440 2676336 2718400 2733300 2787850 2842632 2915520 2961075 3058200 3088080 3158480 3180528 3313050 3345420 3431200 3533920 3553290 3568448 3644400 3790176 3860100 3948100 3975660 4014504 4077600 4117440 4181775 4240704 4373280 4417400 4460560 4737720 4859200 4893120 4969575 5018130 5146800 5159863 5300880 5352672 5466600 5575700 5685264 5922150 6116400 6176160 6316960 6361056 6626100 6690840 6862400 7067840 7106580 7287011 7288800 7580352 7720200 7896200 7951320 8029008 8155200 8363550 8746560 8834800 8883225 8921120 9475440 9939150 10036260 10293600 10319726 10601760 10705344 10933200 11151400 11370528 11844300 12232800 12352320 12545325 12633920 12722112 13025693 13252200 13381680 14213160 14574022 14577600 15440400 15479589 15792400 15902640 16058016 16727100 17669600 17766450 17842240 18950880 19878300 20072520 20587200 20639452 21203520 21861033 21866400 22302800 22741056 23688600 24465600 25090650 25799315 26051386 26504400 26763360 28426320 29148044 30880800 30959178 31584800 31805280 32116032 33454200 35339200 35532900 36435055 37901760 39077079 39756600 40145040 41278904 43722066 43732800 44605600 46438767 47377200 50181300 51598630 52102772 53008800 53526720 56852640 58296088 61761600 61918356 63169600 63610560 65128465 65583099 66908400 67078219 71065800 72870110 77397945 78154158 79513200 80290080 82557808 87444132 89211200 92877534 94731143 94754400 100362600 103197260 104205544 106017600 109305165 113705280 116592176 117231237 123836712 128996575 130256930 131166198 133816800 134156438 142131600 145740220 154795890 156308316 159026400 160580160 165115616 169334009 174888264 182175275 185755068 189462286 189508800 195385395 200725200 201234657 206394520 208411088 218610330 232193835 233184352 234462474 247673424 257993150 260513860 262332396 267633600 268312876 284193429 284263200 291480440 309591780 312616632 318052800 325642325 327915495 330231232 335391095 338668018 349776528 364350550 371510136 378924572 386989725 390770790 401450400 402469314 412789040 416822176 437220660 464387670 466368704 468924948 473655715 495346848 508002027 515986300 521027720 524664792 536625752 546525825 568386858 568526400 582960880 586156185 603703971 619183560 625233264 651284650 655830990 670782190 677336036 699553056 728701100 743020272 757849144 773979450 781541580 802900800 804938628 825578080 833644352 846670045 852580287 874441320 928775340 937849896 947311430 976926975 990693696 1006173285 1016004054 1031972600 1042055440 1049329584 1073251504 1093051650 1136773716 1160969175 1165921760 1172312370 1207407942 1238367120 1250466528 1302569300 1311661980 1341564380 1354672072 1399106112 1420967145 1457402200 1486040544 1515698288 1524006081 1547958900 1563083160 1609877256 1639577475 1651156160 1676955475 1693340090 1705160574 1748882640 1857550680 1875699792 1894622860 1953853950 2012346570 2032008108 2063945200 2084110880 2098659168 2146503008 2186103300 2273547432 2321938350 2331843520 2344624740 2368278575 2414815884 2476734240 2500933056 2540010135 2605138600 2623323960 2683128760 2709344144 2841934290 2914804400 2930780925 2972081088 3018519855 3031396576 3048012162 3095917800 3126166320 3219754512 3279154950 3353910950 3386680180 3410321148 3497765280 3715101360 3751399584 3789245720 3907707900 4024693140 4064016216 4127890400 4168221760 4197318336 4233350225 4262901435 4293006016 4372206600 4547094864 4643876700 4689249480 4736557150 4829631768 4953468480 5030866425 5080020270 5210277200 5246647920 5366257520 5418688288 5683868580 5829608800 5861561850 6037039710 6062793152 6096024324 6191835600 6252332640 6439509024 6558309900 6707821900 6773360360 6820642296 6995530560 7104835725 7430202720 7502799168 7578491440 7620030405 7815415800 8049386280 8128032432 8255780800 8466700450 8525802870 8744413200 9094189728 9287753400 9378498960 9473114300 9659263536 10061732850 10160040540 10420554400 10493295840 10732515040 10837376576 11367737160 11659217600 11723123700 12074079420 12192048648 12383671200 12504665280 12700050675 12879018048 13116619800 13415643800 13546720720 13641284592 14209671450 14860405440 15092599275 15156982880 15240060810 15630831600 16098772560 16256064864 16933400900 17051605740 17488826400 18188379456 18575506800 18756997920 18946228600 19318527072 20123465700 20320081080 20841108800 20986591680 21314507175 21465030080 22130652407 22735474320 23446247400 24148158840 24384097296 24767342400 25400101350 26233239600 26831287600 27093441440 27282569184 28419342900 30185198550 30313965760 30480121620 31261663200 32197545120 32512129728 33866801800 34103211480 34977652800 37151013600 37513995840 37892457200 38100152025 38637054144 40246931400 40640162160 42629014350 44261304814 45470948640 46892494800 48296317680 48768194592 50800202700 52466479200 53662575200 54186882880 54565138368 56838685800 60370397100 60960243240 62523326400 64395090240 66391957221 67733603600 68206422960 74302027200 75784914400 76200304050 80493862800 81280324320 85258028700 88522609628 90941897280 93784989600 96592635360 97536389184 101600405400 104932958400 107325150400 110653262035 113677371600 120740794200 121920486480 132783914442 135467207200 136412845920 151569828800 152400608100 160987725600 162560648640 170516057400 177045219256 187569979200 193185270720 199175871663 203200810800 221306524070 227354743200 241481588400 243840972960 265567828884 270934414400 272825691840 287698481291 304801216200 321975451200 331959786105 341032114800 354090438512 398351743326 406401621600 442613048140 454709486400 482963176800 487681945920 531135657768 553266310175 575396962582 609602432400 663919572210 682064229600 708180877024 796703486652 812803243200 863095443873 885226096280 965926353600 995879358315 1062271315536 1106532620350 1150793925164 1219204864800 1327839144420 1364128459200 1416361754048 1438492406455 1593406973304 1659798930525 1726190887746 1770452192560 1991758716630 2124542631072 2213065240700 2301587850328 2438409729600 2589286331619 2655678288840 2876984812910 3186813946608 3319597861050 3452381775492 3540904385120 3983517433260 4249085262144 4315477219365 4426130481400 4603175700656 4979396791575 5178572663238 5311356577680 5753969625820 6373627893216 6639195722100 6904763550984 7081808770240 7192462032275 7967034866520 8630954438730 8852260962800 9206351401312 9958793583150 10357145326476 10622713155360 11507939251640 12747255786432 12946431658095 13278391444200 13809527101968 14384924064550 15934069733040 17261908877460 17704521925600 18412702802624 19917587166300 20714290652952 21245426310720 21577386096825 23015878503280 25892863316190 26556782888400 27619054203936 28769848129100 31868139466080 34523817754920 35409043851200 39835174332600 41428581305904 43154772193650 46031757006560 51785726632380 53113565776800 55238108407872 57539696258200 63736278932160 64732158290475 69047635509840 79670348665200 82857162611808 86309544387300 92063514013120 103571453264760 106227131553600 115079392516400 129464316580950 138095271019680 159340697330400 165714325223616 172619088774600 207142906529520 230158785032800 258928633161900 276190542039360 318681394660800 345238177549200 414285813059040 460317570065600 517857266323800 690476355098400 828571626118080 1035714532647600 1380952710196800 2071429065295200 4142858130590400
- Sum of all divisors σ(n): 15875623319556000
- Sum of proper divisors (its aliquot sum) s(n): 11732765188965600
- 4142858130590400 is an abundant number, because the sum of its proper divisors (11732765188965600) is greater than itself. Its abundance is 7589907058375200
Bases of 4142858130590400
- Binary: 11101011011111101000010100110011101010001010110000002
- Hexadecimal: 0xEB7E8533A8AC0
- Base-36: 14SIQR1IY80
Squares and roots of 4142858130590400
- 4142858130590400 squared (41428581305904002) is 17163273490198983780252572160000
- 4142858130590400 cubed (41428581305904003) is 71105007126417531940370982050328779403264000000
-
The
square root of 4142858130590400 is 64365038.1075813551 -
The
cube root of 4142858130590400 is 160607.8199529763
Scales and comparisons
How big is 4142858130590400?- 4,142,858,130,590,400 seconds is equal to 131,730,073 years, 44 weeks, 1 day, 20 hours.
-
To count from 1 to 4,142,858,130,590,400 would take you about three hundred ninety-five million, one hundred ninety thousand, two hundred twenty-one 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 4142858130590400 cubic inches would be around 13384 feet tall.
Recreational maths with 4142858130590400
- 4142858130590400 backwards is 0040950318582414
- The number of decimal digits it has is: 16
- The sum of 4142858130590400's digits is 54
- More coming soon!
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The information we have on file for 4142858130590400 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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