73138531012968000
73,138,531,012,968,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 73138531012968000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1792 divisors.
73138531012968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 73138531012968000:
26 × 3 × 53 × 293 × 61 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 29 × 29 × 29 × 61 × 127 × 127 × 127)See below for interesting mathematical facts about the number 73138531012968000 from the Numbermatics database.
Names of 73138531012968000
- Cardinal: 73138531012968000 can be written as Seventy-three quadrillion, one hundred thirty-eight trillion, five hundred thirty-one billion, twelve million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 7.3138531012968 × 1016
Factors of 73138531012968000
Divisors of 73138531012968000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 61 64 75 80 87 96 100 116 120 122 125 127 145 150 160 174 183 192 200 232 240 244 250 254 290 300 305 320 348 366 375 381 400 435 464 480 488 500 508 580 600 610 635 696 725 732 750 762 800 841 870 915 928 960 976 1000 1016 1160 1200 1220 1270 1392 1450 1464 1500 1524 1525 1600 1682 1740 1769 1830 1856 1905 1952 2000 2032 2175 2320 2400 2440 2523 2540 2784 2900 2928 3000 3048 3050 3175 3364 3480 3538 3625 3660 3683 3810 3904 4000 4064 4205 4350 4575 4640 4800 4880 5046 5080 5307 5568 5800 5856 6000 6096 6100 6350 6728 6960 7076 7250 7320 7366 7620 7625 7747 8000 8128 8410 8700 8845 9150 9280 9525 9760 10092 10160 10614 10875 11049 11600 11712 12000 12192 12200 12615 12700 13456 13920 14152 14500 14640 14732 15240 15250 15494 15875 16129 16820 17400 17690 18300 18415 19050 19520 20184 20320 21025 21228 21750 22098 22875 23200 23241 24000 24384 24389 24400 25230 25400 26535 26912 27840 28304 29000 29280 29464 30480 30500 30988 31750 32258 33640 34800 35380 36600 36830 38100 38735 40368 40640 42050 42456 43500 44196 44225 45750 46400 46482 47625 48387 48778 48800 50460 50800 51301 53070 53824 55245 56608 58000 58560 58928 60960 61000 61976 63075 63500 64516 67280 69600 70760 73167 73200 73660 76200 77470 80645 80736 84100 84912 87000 88392 88450 91500 92075 92964 95250 96774 97556 97600 100920 101600 102602 105125 106140 106807 110490 113216 116000 116205 117856 121920 121945 122000 123952 126150 127000 129032 132675 134560 139200 141520 146334 146400 147320 152400 153903 154940 161290 161472 168200 169824 174000 176784 176900 183000 184150 185928 190500 193548 193675 195112 201840 203200 205204 210250 212280 213614 220980 221125 224663 232000 232410 235712 241935 243890 244000 247904 252300 254000 256505 258064 265350 269120 276225 283040 292668 292800 294640 304800 307806 309880 315375 320421 322580 336400 339648 348000 353568 353800 365835 366000 368300 371856 381000 387096 387350 390224 403225 403680 410408 420500 424560 427228 441960 442250 449326 460375 464820 467741 483870 487780 488000 495808 504600 508000 513010 516128 530700 534035 552450 566080 581025 585336 589280 609600 609725 615612 619760 630750 640842 645160 663375 672800 673989 696000 707136 707600 731670 732000 736600 743712 762000 769515 774192 774700 780448 806450 807360 820816 841000 849120 854456 883920 884500 898652 920750 929640 935482 967740 968375 975560 983869 1009200 1016000 1026020 1032256 1061400 1068070 1104900 1123315 1162050 1170672 1178560 1209675 1219450 1231224 1239520 1261500 1281684 1282525 1290320 1326750 1345600 1347978 1381125 1403223 1415200 1463340 1464000 1473200 1487424 1487729 1524000 1539030 1548384 1549400 1560896 1602105 1612900 1641632 1682000 1698240 1708912 1767840 1769000 1797304 1829175 1841500 1859280 1870964 1935480 1936750 1951120 1967738 2016125 2018400 2048383 2052040 2122800 2136140 2209800 2246630 2324100 2338705 2341344 2419350 2438900 2462448 2479040 2523000 2563368 2565050 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42456000 42722800 43135296 44196000 44631870 44903136 44932600 46461045 46482000 46774100 47225712 47607328 48387000 48778000 49161192 49193450 49248960 49558448 51209575 51267360 51301000 52121816 53403500 53919120 54257956 56128920 56165750 57064402 58467625 58533600 59032140 59403107 59509160 61451490 61561200 61948060 61976000 62967616 64084200 64516000 65152270 65548256 67398900 67822445 70161150 71410992 71892160 73167000 73790175 74337672 74386450 74838560 76951500 77419200 77435075 78182724 78709520 80105250 81386934 81935320 82081600 84248625 85445600 85596603 88392000 89263740 89806272 89865200 92922090 92964000 93548200 94451424 95214656 96774000 97556000 97728405 98322384 98386900 99116896 102419150 102534720 102602000 104243632 106807000 107838240 108515912 111579675 112257840 112331500 114128804 116935250 117067200 118064280 118806214 119018320 122902980 122983625 123122400 123896120 124951363 128168400 129032000 130304540 131096512 134797800 135644890 140322300 142661005 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20176146486336 20672281236000 21016819256600 21741537162000 23035757799360 23979846233760 23995581041000 24379510337656 24979006493500 25220183107920 26271024070750 28794697249200 28988716216000 29974807792200 30474387922070 31525228884900 33626910810560 35993371561500 36569265506484 37468509740250 38392929665600 39406536106125 39966410389600 41344562472000 42033638513200 43483074324000 45711581883105 47959692467520 47991162082000 48759020675312 49958012987000 50440366215840 52542048141500 57589394498400 59949615584400 60948775844140 63050457769800 71986743123000 73138531012968 74937019480500 76185969805175 78813072212250 79932820779200 84067277026400 86966148648000 91423163766210 95982324164000 97518041350624 99916025974000 100880732431680 105084096283000 115178788996800 119899231168800 121897551688280 126100915539600 143973486246000 146277062025936 149874038961000 152371939610350 157626144424500 168134554052800 182846327532420 191964648328000 195036082701248 199832051948000 210168192566000 228557909415525 239798462337600 243795103376560 252201831079200 287946972492000 292554124051872 299748077922000 304743879220700 315252288849000 365692655064840 380929849025875 399664103896000 420336385132000 457115818831050 487590206753120 504403662158400 575893944984000 585108248103744 599496155844000 609487758441400 630504577698000 731385310129680 761859698051750 840672770264000 914231637662100 975180413506240 1142789547077625 1198992311688000 1218975516882800 1261009155396000 1462770620259360 1523719396103500 1828463275324200 2285579094155250 2437951033765600 2522018310792000 2925541240518720 3047438792207000 3656926550648400 4571158188310500 4875902067531200 6094877584414000 7313853101296800 9142316376621000 12189755168828000 14627706202593600 18284632753242000 24379510337656000 36569265506484000 73138531012968000
- Sum of all divisors σ(n): 256246347298406400
- Sum of proper divisors (its aliquot sum) s(n): 183107816285438400
- 73138531012968000 is an abundant number, because the sum of its proper divisors (183107816285438400) is greater than itself. Its abundance is 109969285272470400
Bases of 73138531012968000
- Binary: 1000000111101011100011011010000000110101111111110010000002
- Hexadecimal: 0x103D71B406BFE40
- Base-36: K05G1AW7L1C
Squares and roots of 73138531012968000
- 73138531012968000 squared (731385310129680002) is 5349244718734881940184169024000000
- 73138531012968000 cubed (731385310129680003) is 391235900757146449076053940871372047903232000000000
-
The
square root of 73138531012968000 is 270441363.3543655985 -
The
cube root of 73138531012968000 is 418198.1215764745
Scales and comparisons
How big is 73138531012968000?- 73,138,531,012,968,000 seconds is equal to 2,325,579,053 years, 45 weeks, 6 days, 1 hour, 20 minutes.
-
To count from 1 to 73,138,531,012,968,000 would take you about six billion, nine hundred seventy-six million, seven hundred thirty-seven thousand, one hundred sixty-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 73138531012968000 cubic inches would be around 34849.8 feet tall.
Recreational maths with 73138531012968000
- 73138531012968000 backwards is 00086921013583137
- The number of decimal digits it has is: 17
- The sum of 73138531012968000's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 73138531012968000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 73138531012968000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/73138531012968000/
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Numbermatics. 2024. "Number 73138531012968000 - Facts about the integer". https://numbermatics.com/n/73138531012968000/
The information we have on file for 73138531012968000 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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