513157039284006
513,157,039,284,006 is an even composite number composed of six prime numbers multiplied together.
What does the number 513157039284006 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
513157039284006 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 513157039284006:
2 × 34 × 13 × 192 × 372 × 793
(2 × 3 × 3 × 3 × 3 × 13 × 19 × 19 × 37 × 37 × 79 × 79 × 79)See below for interesting mathematical facts about the number 513157039284006 from the Numbermatics database.
Names of 513157039284006
- Cardinal: 513157039284006 can be written as Five hundred thirteen trillion, one hundred fifty-seven billion, thirty-nine million, two hundred eighty-four thousand and six.
Scientific notation
- Scientific notation: 5.13157039284006 × 1014
Factors of 513157039284006
Divisors of 513157039284006
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 6 9 13 18 19 26 27 37 38 39 54 57 74 78 79 81 111 114 117 158 162 171 222 234 237 247 333 342 351 361 474 481 494 513 666 702 703 711 722 741 962 999 1026 1027 1053 1083 1369 1406 1422 1443 1482 1501 1539 1998 2054 2106 2109 2133 2166 2223 2738 2886 2923 2997 3002 3078 3081 3249 4107 4218 4266 4329 4446 4503 4693 5846 5994 6162 6241 6327 6399 6498 6669 8214 8658 8769 9006 9139 9243 9386 9747 12321 12482 12654 12798 12987 13338 13357 13509 14079 17538 17797 18278 18486 18723 18981 19494 19513 20007 24642 25974 26011 26307 26714 27018 27417 27729 28158 28519 29241 35594 36963 37446 37962 37999 38961 39026 40014 40071 40527 42237 52022 52614 53391 54834 55458 55537 56169 56943 57038 58482 58539 73926 75998 77922 78033 78921 80142 81054 81133 82251 83187 84474 85557 106782 108151 110889 111074 112338 113886 113997 117078 118579 120213 121581 126711 156066 157842 160173 162266 164502 166374 166611 168507 171114 173641 175617 216302 221778 227994 230917 234099 236763 237158 240426 243162 243399 246753 253422 256671 320346 324453 333222 337014 338143 341991 347282 351234 355737 360639 370747 380133 461834 468198 473526 480519 486798 493039 493506 494209 499833 505521 513342 520923 526851 648906 676286 683982 692751 702297 711474 721278 721981 730197 740259 741494 760266 770013 961038 973359 986078 988418 999666 1011042 1014429 1025973 1041846 1053702 1055203 1067211 1081917 1112241 1385502 1404594 1405963 1441557 1443962 1460394 1479117 1480518 1482627 1499499 1540026 1541527 1562769 1580553 1946718 2028858 2051946 2054869 2078253 2106891 2110406 2134422 2163834 2165943 2190591 2224482 2253001 2310039 2811926 2883114 2920077 2958234 2965254 2998998 3001921 3043287 3077919 3083054 3125538 3161106 3165609 3201633 3336723 4109738 4156506 4213782 4217889 4331886 4381182 4387423 4437351 4447881 4498497 4506002 4620078 4624581 4688307 5840154 6003842 6086574 6155838 6164607 6234759 6331218 6403266 6409507 6424717 6497829 6571773 6673446 6759003 8435778 8543929 8760231 8774846 8874702 8895762 8996994 9005763 9129861 9249162 9367741 9376614 9496827 9604899 10010169 12329214 12469518 12653667 12819014 12849434 12995658 13143546 13162269 13312053 13343643 13518006 13717639 13873743 14064921 17087858 17520462 18011526 18242443 18259722 18493821 18704277 18735482 18993654 19209798 19228521 19274151 19493487 20020338 20277009 25307334 25631787 26324538 26624106 26687286 26713297 27017289 27389583 27435278 27747486 28103223 28129842 28490481 29289013 30030507 36484886 36987642 37408554 37961001 38457042 38548302 38986974 39042511 39486807 39936159 40030929 40554018 41152917 41621229 51263574 53426594 54034578 54727329 54779166 55481463 56206446 56980962 57036499 57685563 57822453 58480461 58578026 60061014 60831027 75922002 76895361 78085022 78973614 79872318 80061858 80139891 81051867 82305834 83242458 83361037 84309669 85471443 87867039 109454658 110962926 111071077 113883003 114072998 115371126 115644906 116960922 117127533 118460421 121662054 121780633 123458751 124863687 153790722 160279782 162103734 162334651 164181987 166444389 166722074 168619338 170942886 171109497 173056689 173467359 175734078 177987079 182493081 222142154 227766006 230686083 234255066 236920842 237151759 240419673 243155601 243561266 246917502 249727374 250083111 252929007 263601117 324669302 328363974 332888778 333213231 342218994 346113378 346606417 346934718 351382599 355381263 355974158 364986162 365341899 370376253 461372166 474303518 480839346 486311202 487003953 492545961 500166222 505858014 507552643 513328491 519170067 520402077 527202234 533961237 666426462 674970391 692058249 693212834 702765198 710762526 711455277 721259019 730683798 740752506 750249333 758787021 790803351 974007906 985091922 999639693 1015105286 1026656982 1038340134 1039819251 1040804154 1054147797 1067922474 1083693481 1096025697 1111128759 1349940782 1384116498 1422910554 1442518038 1461011859 1477637883 1500498666 1517574042 1522657929 1539985473 1581606702 1601883711 1999279386 2024911173 2079638502 2108295594 2110350463 2134365831 2163777057 2167386962 2192051394 2222257518 2250747999 2313832027 2372410053 2922023718 2955275766 2998919079 3045315858 3079970946 3084358369 3119457753 3162443391 3203767422 3251080443 3288077091 4049822346 4220700926 4268731662 4327554114 4383035577 4501495998 4505883421 4567973787 4619956419 4627664054 4744820106 4805651133 5997838158 6074733519 6168716738 6238915506 6324886782 6331051389 6403097493 6502160886 6576154182 6585521923 6752243997 6941496081 8766071154 8774615083 8996757237 9011766842 9135947574 9239912838 9253075107 9358373259 9611302266 9753241329 9864231273 12149467038 12662102778 12806194986 12824437429 13149106731 13171043846 13504487994 13517650263 13703921361 13882992162 14416953399 17549230166 17993514474 18224200557 18506150214 18716746518 18993154167 19209292479 19506482658 19728462546 19756565769 20824488243 25648874858 26298213462 26323845249 27035300526 27407842722 27759225321 28075119777 28833906798 29259723987 36448401114 37986308334 38418584958 38473312287 39513131538 40096658797 40552950789 41111764083 41648976486 52647690498 54672601671 55518450642 56150239554 56979462501 58519447974 59269697307 62473464729 76946624574 78971535747 80193317594 81105901578 82223528166 83277675963 85611784999 87779171961 109345203342 113958925002 115419936861 118539394614 120289976391 121658852367 124946929458 157943071494 166555351926 166717686577 170938387503 171223569998 175558343922 177809091921 187420394187 230839873722 236914607241 240579952782 243317704734 243664311151 249833027889 256835354997 333435373154 341876775006 346259810583 355618183842 360869929173 364976557101 374840788374 473829214482 487328622302 499666055778 500153059731 513670709994 533427275763 692519621166 710743821723 721739858346 729953114202 730992933453 770506064991 1000306119462 1038779431749 1066854551526 1082609787519 1421487643446 1461985866906 1500459179193 1541012129982 2077558863498 2165219575038 2192978800359 2311518194973 3000918358386 3167636044963 3247829362557 4385957600718 4501377537579 4623036389946 6335272089926 6495658725114 6578936401077 6934554584919 9002755075158 9502908134889 13157872802154 13504132612737 13869109169838 19005816269778 19736809203231 27008265225474 28508724404667 39473618406462 57017448809334 85526173214001 171052346428002 256578519642003 513157039284006
- Sum of all divisors σ(n): 1360402699803840
- Sum of proper divisors (its aliquot sum) s(n): 847245660519834
- 513157039284006 is an abundant number, because the sum of its proper divisors (847245660519834) is greater than itself. Its abundance is 334088621235828
Bases of 513157039284006
- Binary: 11101001010110110101011110000101001011111001001102
- Hexadecimal: 0x1D2B6AF0A5F26
- Base-36: 51WD37V8DI
Squares and roots of 513157039284006
- 513157039284006 squared (5131570392840062) is 263330146966726877117127408036
- 513157039284006 cubed (5131570392840063) is 135129718571667737502574190356025452050672216
-
The
square root of 513157039284006 is 22652969.7674279785 -
The
cube root of 513157039284006 is 80060.2171250591
Scales and comparisons
How big is 513157039284006?- 513,157,039,284,006 seconds is equal to 16,316,806 years, 28 weeks, 4 days, 7 hours, 20 minutes, 6 seconds.
-
To count from 1 to 513,157,039,284,006 would take you about forty million, seven hundred ninety-two thousand and sixteen 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 513157039284006 cubic inches would be around 6671.7 feet tall.
Recreational maths with 513157039284006
- 513157039284006 backwards is 600482930751315
- 513157039284006 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 513157039284006's digits is 54
- More coming soon!
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The information we have on file for 513157039284006 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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