42214980528088200
42,214,980,528,088,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42214980528088200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
42214980528088200 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 42214980528088200:
23 × 34 × 52 × 7 × 31 × 61 × 196862053
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 31 × 61 × 196862053)See below for interesting mathematical facts about the number 42214980528088200 from the Numbermatics database.
Names of 42214980528088200
- Cardinal: 42214980528088200 can be written as Forty-two quadrillion, two hundred fourteen trillion, nine hundred eighty billion, five hundred twenty-eight million, eighty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 4.22149805280882 × 1016
Factors of 42214980528088200
Divisors of 42214980528088200
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 31 35 36 40 42 45 50 54 56 60 61 62 63 70 72 75 81 84 90 93 100 105 108 120 122 124 126 135 140 150 155 162 168 175 180 183 186 189 200 210 216 217 225 244 248 252 270 279 280 300 305 310 315 324 350 360 366 372 378 405 420 427 434 450 465 488 504 525 540 549 558 567 600 610 620 630 648 651 675 700 732 744 756 775 810 837 840 854 868 900 915 930 945 1050 1080 1085 1098 1116 1134 1220 1240 1260 1281 1302 1350 1395 1400 1464 1512 1525 1550 1575 1620 1647 1674 1708 1736 1800 1830 1860 1890 1891 1953 2025 2100 2135 2170 2196 2232 2268 2325 2440 2511 2520 2562 2604 2700 2745 2790 2835 3050 3100 3150 3240 3255 3294 3348 3416 3660 3720 3780 3782 3843 3906 4050 4185 4200 4270 4340 4392 4536 4575 4650 4725 4941 5022 5124 5208 5400 5425 5490 5580 5670 5673 5859 6100 6200 6300 6405 6510 6588 6696 6975 7320 7560 7564 7686 7812 8100 8235 8370 8540 8680 9150 9300 9450 9455 9765 9882 10044 10248 10675 10850 10980 11160 11340 11346 11529 11718 12200 12555 12600 12810 13020 13176 13237 13725 13950 14175 15128 15372 15624 16200 16275 16470 16740 17019 17080 17577 18300 18600 18900 18910 19215 19530 19764 20088 20925 21350 21700 21960 22680 22692 23058 23436 24705 25110 25620 26040 26474 27450 27900 28350 28365 29295 30744 32025 32550 32940 33480 34038 34587 35154 36600 37800 37820 38430 39060 39528 39711 41175 41850 42700 43400 45384 46116 46872 47275 48825 49410 50220 51057 51240 52948 54900 55800 56700 56730 57645 58590 62775 64050 65100 65880 66185 68076 69174 70308 75640 76860 78120 79422 82350 83700 85095 85400 87885 92232 94550 96075 97650 98820 100440 102114 105896 109800 113400 113460 115290 117180 119133 123525 125550 128100 130200 132370 136152 138348 140616 141825 146475 153171 153720 158844 164700 167400 170190 172935 175770 189100 192150 195300 197640 198555 204228 226920 230580 234360 238266 247050 251100 255285 256200 264740 276696 283650 288225 292950 306342 317688 329400 330925 340380 345870 351540 357399 378200 384300 390600 397110 408456 425475 439425 461160 476532 494100 502200 510570 529480 567300 576450 585900 595665 612684 661850 680760 691740 703080 714798 765855 768600 794220 850950 864675 878850 953064 988200 992775 1021140 1072197 1134600 1152900 1171800 1191330 1225368 1276425 1323700 1383480 1429596 1531710 1588440 1701900 1729350 1757700 1786995 1985550 2042280 2144394 2305800 2382660 2552850 2647400 2859192 2978325 3063420 3403800 3458700 3515400 3573990 3829275 3971100 4288788 4765320 5105700 5360985 5956650 6126840 6917400 7147980 7658550 7942200 8577576 8934975 10211400 10721970 11913300 14295960 15317100 17869950 21443940 23826600 26804925 30634200 35739900 42887880 53609850 71479800 107219700 196862053 214439400 393724106 590586159 787448212 984310265 1181172318 1378034371 1574896424 1771758477 1968620530 2362344636 2756068742 2952930795 3543516954 3937241060 4134103113 4724689272 4921551325 5315275431 5512137484 5905861590 6102723643 6890171855 7087033908 7874482120 8268206226 8858792385 9843102650 10630550862 11024274968 11811723180 12008585233 12205447286 12402309339 13780343710 14174067816 14764653975 15945826293 16536412452 17717584770 18308170929 19686205300 20670515565 21261101724 23623446360 24017170466 24410894572 24804618678 26576377155 27560687420 29529307950 30513618215 31891652586 33072824904 34450859275 35435169540 36025755699 36616341858 37206928017 39372410600 41341031130 42522203448 42719065501 44293961925 48034340932 48821789144 49609237356 53152754310 54924512787 55121374840 59058615900 60042926165 61027236430 62011546695 63783305172 68901718550 70870339080 72051511398 73232683716 74413856034 79729131465 82682062260 84060096631 85438131002 88587923850 91540854645 96068681864 99218474712 103352577825 106305508620 108077267097 109849025574 111620784051 118117231800 120085852330 122054472860 124023093390 127566610344 128157196503 132881885775 137803437100 144103022796 146465367432 148827712068 152568091075 159458262930 164773538361 165364124520 168120193262 170876262004 177175847700 180128778495 183081709290 186034640085 206705155650 212611017240 213595327505 216154534194 219698051148 223241568102 240171704660 244108945720 248046186780 252180289893 256314393006 265763771550 274622563935 275606874200 288206045592 297655424136 300214630825 305136182150 310057733475 318916525860 324231801291 329547076722 336240386524 341752524008 354351695400 360257556990 366163418580 372069280170 372266142223 384471589509 398645657325 413410311300 420300483155 427190655010 432309068388 439396102296 446483136204 457704273225 480343409320 494320615083 496092373560 504360579786 512628786012 531527543100 540386335485 549245127870 558103920255 600429261650 610272364300 620115466950 637833051720 640785982515 648463602582 659094153444 672480773048 720515113980 732326837160 744138560340 744532284446 756540869679 768943179018 797291314650 823867691805 826820622600 840600966310 854381310020 864618136776 892966272408 900643892475 915408546450 930173200425 972695403873 988641230166 1008721159572 1025257572024 1063055086200 1067976637525 1080772670970 1098490255740 1116207840510 1116798426669 1153414768527 1200858523300 1220544728600 1240230933900 1260901449465 1281571965030 1296927205164 1318188306888 1373112819675 1441030227960 1488277120680 1489064568892 1513081739358 1537886358036 1594582629300 1621159006455 1647735383610 1681201932620 1708762620040 1801287784950 1830817092900 1860346400850 1861330711115 1922357947545 1945390807746 1977282460332 2017442319144 2101502415775 2135953275050 2161545341940 2196980511480 2232415681020 2233596853338 2269622609037 2306829537054 2401717046600 2471603075415 2480461867800 2521802898930 2563143930060 2593854410328 2605862995561 2701931677425 2746225639350 2790519601275 2978129137784 3026163478716 3075772716072 3189165258600 3203929912575 3242318012910 3295470767220 3350395280007 3362403865240 3460244305581 3602575569900 3661634185800 3720692801700 3722661422230 3782704348395 3844715895090 3890781615492 3954564920664 4119338459025 4203004831550 4271906550100 4323090683880 4464831362040 4467193706676 4539245218074 4613659074108 4863477019365 4943206150830 5043605797860 5126287860120 5211725991122 5403863354850 5492451278700 5581039202550 5583992133345 5767073842635 6052326957432 6304507247325 6407859825150 6484636025820 6590941534440 6700790560014 6808867827111 6920488611162 7205151139800 7441385603400 7445322844460 7565408696790 7689431790180 7781563230984 7817588986683 8105795032275 8238676918050 8406009663100 8543813100200 8934387413352 9078490436148 9227318148216 9306653555575 9611789737725 9726954038730 9886412301660 10051185840021 10087211595720 10423451982244 10807726709700 10984902557400 11162078405100 11167984266690 11348113045185 11534147685270 12358015377075 12609014494650 12815719650300 12969272051640 13029314977805 13401581120028 13617735654222 13840977222324 14890645688920 15130817393580 15378863580360 15635177973366 16211590064550 16477353836100 16751976400035 16812019326200 17301221527905 18156980872296 18613307111150 18913521741975 19223579475450 19453908077460 19772824603320 20102371680042 20846903964488 21615453419400 22324156810200 22335968533380 22696226090370 23068295370540 23452766960049 24317385096825 24716030754150 25218028989300 25631439300600 26058629955610 26803162240056 27235471308444 27681954444648 27919960666725 28835369213175 30153557520063 30261634787160 31270355946732 32423180129100 32954707672200 33503952800070 34044339135555 34602443055810 37226614222300 37827043483950 38447158950900 38907816154920 39087944933415 40204743360084 44671937066760 45392452180740 46136590741080 46905533920098 48634770193650 49432061508300 50255929200105 50436057978600 52117259911220 54470942616888 55839921333450 56740565225925 57670738426350 60307115040126 62540711893464 64846360258200 65146574889025 67007905600140 68088678271110 69204886111620 70358300880147 74453228444600 75654086967900 76894317901800 78175889866830 80409486720168 83759882000175 86506107639525 90784904361480 93811067840196 97269540387300 98864123016600 100511858400210 104234519822440 111679842666900 113481130451850 115341476852700 117263834800245 120614230080252 130293149778050 134015811200280 136177356542220 138409772223240 140716601760294 150767787600315 151308173935800 156351779733660 167519764000350 170221695677775 173012215279050 187622135680392 194539080774600 195439724667075 201023716800420 211074902640441 223359685333800 226962260903700 230682953705400 234527669600490 241228460160504 251279646000525 260586299556100 272354713084440 281433203520588 301535575200630 312703559467320 335039528000700 340443391355550 346024430558100 351791504400735 390879449334150 402047433600840 422149805280882 453924521807400 469055339200980 502559292001050 521172599112200 562866407041176 586319174001225 603071150401260 670079056001400 680886782711100 692048861116200 703583008801470 753838938001575 781758898668300 844299610561764 938110678401960 1005118584002100 1055374513202205 1172638348002450 1206142300802520 1361773565422200 1407166017602940 1507677876003150 1563517797336600 1688599221123528 1758957522003675 2010237168004200 2110749026404410 2345276696004900 2814332035205880 3015355752006300 3517915044007350 4221498052808820 4690553392009800 5276872566011025 6030711504012600 7035830088014700 8442996105617640 10553745132022050 14071660176029400 21107490264044100 42214980528088200
- Sum of all divisors σ(n): 175805310729016320
- Sum of proper divisors (its aliquot sum) s(n): 133590330200928120
- 42214980528088200 is an abundant number, because the sum of its proper divisors (133590330200928120) is greater than itself. Its abundance is 91375349672839920
Bases of 42214980528088200
- Binary: 100101011111101001001101000101101001001110100100100010002
- Hexadecimal: 0x95FA4D1693A488
- Base-36: BJNYMBRXCI0
Squares and roots of 42214980528088200
- 42214980528088200 squared (422149805280882002) is 1782104580986865881349146979240000
- 42214980528088200 cubed (422149805280882003) is 75231510185377323828944839668761615002288968000000
-
The
square root of 42214980528088200 is 205462844.6412835003 -
The
cube root of 42214980528088200 is 348194.7332626893
Scales and comparisons
How big is 42214980528088200?- 42,214,980,528,088,200 seconds is equal to 1,342,305,801 years, 14 weeks, 5 days, 16 hours, 30 minutes.
-
To count from 1 to 42,214,980,528,088,200 would take you about four billion, twenty-six million, nine hundred seventeen thousand, four hundred three 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 42214980528088200 cubic inches would be around 29016.2 feet tall.
Recreational maths with 42214980528088200
- 42214980528088200 backwards is 00288082508941224
- 42214980528088200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42214980528088200's digits is 63
- More coming soon!
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The information we have on file for 42214980528088200 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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