40472968528701126
40,472,968,528,701,126 is an even composite number composed of six prime numbers multiplied together.
What does the number 40472968528701126 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
40472968528701126 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 40472968528701126:
2 × 33 × 112 × 172 × 2812 × 5212
(2 × 3 × 3 × 3 × 11 × 11 × 17 × 17 × 281 × 281 × 521 × 521)See below for interesting mathematical facts about the number 40472968528701126 from the Numbermatics database.
Names of 40472968528701126
- Cardinal: 40472968528701126 can be written as Forty quadrillion, four hundred seventy-two trillion, nine hundred sixty-eight billion, five hundred twenty-eight million, seven hundred one thousand, one hundred twenty-six.
Scientific notation
- Scientific notation: 4.0472968528701126 × 1016
Factors of 40472968528701126
Divisors of 40472968528701126
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 121 153 187 198 242 281 289 297 306 363 374 459 521 561 562 578 594 726 843 867 918 1042 1089 1122 1563 1683 1686 1734 2057 2178 2529 2601 3091 3126 3179 3267 3366 4114 4689 4777 5049 5058 5202 5731 6171 6182 6358 6534 7587 7803 8857 9273 9378 9537 9554 10098 11462 12342 14067 14331 15174 15606 17193 17714 18513 18546 19074 26571 27819 28134 28611 28662 34001 34386 34969 37026 42993 51579 52547 53142 55539 55638 57222 63041 68002 69938 78961 79713 81209 83457 85833 85986 97427 102003 103158 104907 105094 111078 126082 128979 146401 150569 154737 157641 157922 159426 162418 166914 171666 189123 194854 204006 209814 236883 239139 243627 257958 271441 292281 292802 301138 306009 309474 314721 315282 378246 439203 451707 472923 473766 478278 487254 542882 567369 578017 584562 612018 629442 710649 730881 814323 868571 876843 878406 893299 903414 918027 944163 945846 1071697 1134738 1156034 1317609 1342337 1355121 1418769 1421298 1461762 1610411 1628646 1656259 1702107 1734051 1737142 1753686 1786598 1836054 1888326 2131947 2143394 2192643 2442969 2488817 2605713 2630529 2635218 2679897 2684674 2710242 2837538 2985851 3215091 3220822 3312518 3404214 3468102 3952827 4027011 4065363 4263894 4385286 4614497 4831233 4885938 4968777 4977634 5202153 5211426 5261058 5359794 5971702 6430182 7328907 7466451 7817139 7905654 8039691 8054022 8130726 8957553 9228994 9554281 9645273 9662466 9826289 9937554 10404306 12081033 13843491 14493699 14657814 14765707 14906331 14932902 15606459 15634278 16079382 17714521 17915106 18218849 19108562 19290546 19652578 22399353 22819729 23451417 24119073 24162066 26872659 27376987 27686982 28662843 28935819 28987398 29478867 29531414 29812662 31212918 32844361 35429042 36243099 36437698 41138681 41530473 42309889 43481097 44297121 44718993 44798706 45639458 46902834 48238146 50759467 53143563 53745318 54656547 54753974 57325686 57871638 58957734 65688722 67198059 68459187 72486198 76274921 78446449 80617977 82130961 82277362 83060946 84619778 85988529 86962194 88436601 88594242 89437986 98533083 101518934 106287126 109313094 123416043 124591419 126929667 132891363 134396118 136918374 152278401 152549842 156892898 159430689 161235954 162422777 163969641 164261922 171977058 176873202 197066166 205377561 228824763 235339347 246392883 246832086 249182838 251017019 253859334 257965587 265309803 265782726 295599249 301146857 304556802 318861378 324845554 327939282 370248129 380789001 398674089 410755122 452525491 456835203 457649526 465408779 470678694 478292067 487268331 491908923 492785766 502034038 515931174 530619606 558354137 591198498 602293714 616132683 686474289 699357577 706018041 739178649 740496258 753051057 761578002 797348178 839024131 862910939 886797747 903440571 905050982 913670406 930817558 956584134 974536662 983817846 1110744387 1116708274 1142367003 1232265366 1296673657 1357576473 1370505609 1372948578 1396226337 1398715154 1412036082 1461804993 1478357298 1506102114 1675062411 1678048262 1725821878 1773595494 1806881142 2059422867 2098072731 2118054123 2221488774 2259153171 2284734006 2517072393 2588732817 2593347314 2710321713 2715152946 2741011218 2761187209 2792452674 2923609986 3350124822 3890020971 4072729419 4118845734 4188679011 4196145462 4236108246 4385414979 4518306342 4977780401 5025187233 5034144786 5119496569 5177465634 5420643426 5522374418 6294218193 6777459513 7551217179 7692933347 7766198451 7780041942 8130965139 8145458838 8283561627 8377358022 8770829958 9229265441 9492020329 9955560802 10050374466 10238993138 11670062913 11889078809 12218188257 12566037033 12588436386 13554919026 14263410227 14933341203 15075561699 15102434358 15358489707 15385866694 15532396902 16261930278 16567123254 18458530882 18882654579 18984040658 21433252801 22043452169 22653651537 23078800041 23298595353 23340125826 23778157618 24436376514 24850684881 25132074066 27687796323 28476060987 28526820454 29866682406 30151123398 30716979414 35010188739 35667236427 37765309158 42790230681 42866505602 44086904338 44800023609 45307303074 46075469121 46157600082 46597190706 49701369762 55375592646 56952121974 64299758403 66130356507 69236400123 70020377478 71334472854 74552054643 83063388969 84622266817 85428182961 85580461362 89600047218 92150938242 107001709281 128370692043 128599516806 130779866899 132260713014 134400070827 138226407363 138472800246 149104109286 156897512497 166126777938 169244533634 170856365922 192899275209 198391069521 207709200369 214003418562 235765780811 242477973859 249190166907 253866800451 256284548883 256741384086 261559733798 268800141654 276452814726 313795024994 321005127843 364365297617 385112076129 385798550418 392339600697 396782139042 415418400738 470692537491 471531561622 484955947718 498380333814 507733600902 512569097766 578697825627 595173208563 642010255686 707297342433 727433921577 728730595234 761600401353 770224152258 784679201394 941385074982 1093095892851 1157395651254 1177018802091 1190346417126 1412077612473 1414594684866 1438578535889 1454867843154 1523200802706 2121892027299 2182301764731 2186191785702 2284801204059 2354037604182 2593423588921 2667257712449 2824155224946 2877157071778 3279287678553 3531056406273 4008018273787 4236232837419 4243784054598 4315735607667 4364603529462 4569602408118 5186847177842 5334515424898 6194210059489 6365676081897 6546905294193 6558575357106 7062112812546 7780270766763 8001773137347 8016036547574 8472465674838 8631471215334 9837863035659 12024054821361 12388420118978 12731352163794 12947206823001 13093810588386 15560541533526 16003546274694 18582630178467 19675726071318 23340812300289 24005319412041 24048109642722 25894413646002 36072164464083 37165260356934 38841620469003 44088201011657 46681624600578 48010638824082 55747890535401 68136310654379 70022436900867 72015958236123 72144328928166 77683240938006 88176402023314 108216493392249 111495781070802 132264603034971 136272621308758 140044873801734 144031916472246 167243671606203 204408931963137 216432986784498 264529206069942 334487343212406 396793809104913 408817863926274 613226795889411 749499417198169 793587618209826 1190381427314739 1226453591778822 1498998834396338 1839680387668233 2248498251594507 2380762854629478 3679360775336466 4496996503189014 6745494754783521 13490989509567042 20236484264350563 40472968528701126
- Sum of all divisors σ(n): 105594669318177480
- Sum of proper divisors (its aliquot sum) s(n): 65121700789476354
- 40472968528701126 is an abundant number, because the sum of its proper divisors (65121700789476354) is greater than itself. Its abundance is 24648732260775228
Bases of 40472968528701126
- Binary: 100011111100100111110011010100000010100010100110110001102
- Hexadecimal: 0x8FC9F35028A6C6
- Base-36: B2IGX28WP1I
Squares and roots of 40472968528701126
- 40472968528701126 squared (404729685287011262) is 1638061181525231787848816633667876
- 40472968528701126 cubed (404729685287011263) is 66297198647957688471468388098970139963703551228376
-
The
square root of 40472968528701126 is 201178946.5344252319 -
The
cube root of 40472968528701126 is 343337.8525263625
Scales and comparisons
How big is 40472968528701126?- 40,472,968,528,701,126 seconds is equal to 1,286,915,208 years, 5 weeks, 1 day, 20 hours, 32 minutes, 6 seconds.
-
To count from 1 to 40,472,968,528,701,126 would take you about three billion, eight hundred sixty million, seven hundred forty-five thousand, six hundred twenty-four 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 40472968528701126 cubic inches would be around 28611.5 feet tall.
Recreational maths with 40472968528701126
- 40472968528701126 backwards is 62110782586927404
- The number of decimal digits it has is: 17
- The sum of 40472968528701126's digits is 72
- More coming soon!
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The information we have on file for 40472968528701126 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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