138314340398537160
138,314,340,398,537,160 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138314340398537160 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1024 divisors.
138314340398537160 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138314340398537160:
23 × 3 × 5 × 113 × 13 × 37 × 229 × 7861897
(2 × 2 × 2 × 3 × 5 × 11 × 11 × 11 × 13 × 37 × 229 × 7861897)See below for interesting mathematical facts about the number 138314340398537160 from the Numbermatics database.
Names of 138314340398537160
- Cardinal: 138314340398537160 can be written as One hundred thirty-eight quadrillion, three hundred fourteen trillion, three hundred forty billion, three hundred ninety-eight million, five hundred thirty-seven thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.3831434039853716 × 1017
Factors of 138314340398537160
Divisors of 138314340398537160
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 37 39 40 44 52 55 60 65 66 74 78 88 104 110 111 120 121 130 132 143 148 156 165 185 195 220 222 229 242 260 264 286 296 312 330 363 370 390 407 429 440 444 458 481 484 520 555 572 605 660 687 715 726 740 780 814 858 888 916 962 968 1110 1144 1145 1210 1221 1320 1331 1374 1430 1443 1452 1480 1560 1573 1628 1716 1815 1832 1924 2035 2145 2220 2290 2405 2420 2442 2519 2662 2748 2860 2886 2904 2977 3146 3256 3432 3435 3630 3848 3993 4070 4290 4440 4477 4580 4719 4810 4840 4884 5038 5291 5324 5496 5720 5772 5954 6105 6292 6655 6870 7215 7260 7557 7865 7986 8140 8473 8580 8931 8954 9160 9438 9620 9768 10076 10582 10648 11544 11908 12210 12584 12595 13310 13431 13740 14430 14520 14885 15114 15730 15873 15972 16280 16946 17160 17303 17862 17908 18876 19240 19965 20152 21164 22385 23595 23816 24420 25190 25419 26455 26620 26862 27480 27709 28860 29770 30228 31460 31746 31944 32747 33892 34606 35724 35816 37752 37785 39930 42328 42365 44655 44770 47190 48840 49247 50380 50838 51909 52910 53240 53724 55418 57720 58201 59540 60456 62920 63492 65494 67155 67784 69212 71448 75570 79365 79860 83127 84730 86515 89310 89540 93203 94380 98241 98494 100760 101676 103818 105820 107448 110149 110836 116402 119080 126984 127095 130988 134310 138424 138545 147741 151140 158730 159720 163735 166254 169460 173030 174603 178620 179080 186406 188760 196482 196988 203352 207636 211640 220298 221672 232804 246235 254190 259545 261976 268620 277090 279609 291005 295482 302280 304799 317460 327470 330447 332508 338920 346060 349206 357240 360217 372812 392964 393976 415272 415635 440596 465608 466015 491205 492470 508380 519090 537240 550745 554180 559218 582010 590964 609598 634920 640211 654940 660894 665016 692120 698412 720434 738705 745624 785928 831270 873015 881192 914397 932030 982410 984940 1016760 1025233 1038180 1080651 1101490 1108360 1118436 1164020 1181928 1211639 1219196 1280422 1309880 1321788 1396824 1398045 1440868 1477410 1523995 1652235 1662540 1746030 1801085 1828794 1864060 1920633 1964820 1969880 2050466 2076360 2161302 2202980 2236872 2328040 2423278 2438392 2560844 2643576 2796090 2881736 2954820 3047990 3075699 3201055 3304470 3325080 3492060 3602170 3634917 3657588 3728120 3841266 3929640 3962387 4100932 4322604 4405960 4571985 4846556 5121688 5126165 5403255 5592180 5909640 6058195 6095980 6151398 6402110 6608940 6984120 7204340 7269834 7315176 7682532 7861897 7924774 8201864 8645208 9143970 9603165 9693112 10252330 10806510 11184360 11277563 11887161 12116390 12191960 12302796 12804220 13217880 13328029 14408680 14539668 15365064 15378495 15723794 15849548 18174585 18287940 19206330 19811935 20504660 21613020 22555126 23585691 23774322 24232780 24605592 25608440 26656058 29079336 30756990 31447588 31699096 33832689 36349170 36575880 38412660 39309485 39623870 39984087 41009320 43226040 45110252 47171382 47548644 48465560 53312116 56387815 59435805 61513980 62895176 66640145 67665378 72698340 76825320 78618970 79247740 79968174 86480867 90220504 94342764 95097288 102204661 106624232 112775630 117928455 118871610 123027960 133280290 135330756 145396680 146608319 157237940 158495480 159936348 169163445 172961734 188685528 199920435 204409322 225551260 235856910 237743220 259442601 266560580 270661512 290890189 293216638 306613983 314475880 319872696 338326890 345923468 399840870 408818644 432404335 439824957 451102520 471713820 475486440 511023305 518885202 533121160 581780378 586433276 613227966 676653780 691846936 733041595 799681740 817637288 864808670 872670567 879649914 943427640 951289537 1022046610 1037770404 1124251271 1163560756 1172866552 1226455932 1297213005 1353307560 1454450945 1466083190 1533069915 1599363480 1729617340 1745341134 1759299828 1800374413 1902579074 2044093220 2075540808 2199124785 2248502542 2327121512 2452911864 2594426010 2853868611 2908901890 2932166380 3066139830 3199792079 3372753813 3459234680 3490682268 3518599656 3600748826 3781572457 3805158148 4088186440 4363352835 4398249570 4497005084 4756447685 5188852020 5401123239 5621256355 5707737222 5817803780 5864332760 6132279660 6399584158 6745507626 6981364536 7201497652 7563144914 7610316296 8726705670 8796499140 8994010168 9001872065 9512895370 9599376237 10377704040 10464184907 10802246478 11242512710 11344717371 11415474444 11635607560 12264559320 12366763981 12799168316 13491015252 14269343055 14402995304 15126289828 15998960395 16863769065 17453411340 17592998280 18003744130 18907862285 19025790740 19198752474 19804118543 20928369814 21604492956 22485025420 22689434742 22830948888 23404867369 24733527962 25598336632 26982030504 27005616195 28538686110 30252579656 31392554721 31997920790 33727538130 34906822680 35197712869 36007488260 37100291943 37815724570 38051581480 38397504948 39608237086 41597297027 41856739628 43208985912 44970050840 45378869484 46809734738 47996881185 49467055924 52320924535 54011232390 56723586855 57077372220 59412355629 61833819905 62785109442 63995841580 66613853281 67455076260 70214602107 70395425738 72014976520 74200583886 75631449140 76795009896 79216474172 83194594054 83713479256 90757738968 93619469476 95993762370 98934111848 99020592715 104641849070 105593138607 108022464780 113447173710 114154744440 117024336845 118824711258 123667639810 124791891081 125570218884 127991683160 133227706562 134910152520 136034403791 140429204214 140790851476 148401167772 151262898280 156962773605 158432948344 166389188108 175988564345 185501459715 187238938952 191987524740 198041185430 199841559843 207986485135 209283698140 211186277214 216044929560 217845303973 226894347420 234048673690 237649422516 247335279620 249583782162 251140437768 257453541059 266455413124 272068807582 280858408428 281581702952 296802335544 297061778145 313925547210 332778376216 333069266405 351073010535 351977128690 371002919430 383975049480 387174841559 396082370860 399683119686 408103211373 415972970270 418567396280 422372554428 435690607946 453788694840 457570267297 468097347380 475298845032 494670559240 499167564324 514907082118 527965693035 532910826248 544137615164 561716816856 594123556290 623959455405 627851094420 653535911919 666138532810 680172018955 702146021070 703954257380 732752386091 742005838860 772360623177 774349683118 792164741720 799366239372 816206422746 831945940540 844745108856 865980092653 871381215892 915140534594 936194694760 998335128648 999207799215 1029814164236 1055931386070 1088275230328 1089226519865 1161524524677 1188247112580 1247918910810 1255702188840 1287267705295 1307071823838 1332277065620 1360344037910 1372710801891 1404292042140 1407908514760 1465504772182 1484011677720 1544721246354 1548699366236 1598732478744 1632412845492 1663891881080 1731960185306 1742762431784 1830281069188 1935874207795 1998415598430 2040516056865 2059628328472 2111862772140 2178453039730 2198257158273 2287851336485 2323049049354 2376494225160 2396298343703 2495837821620 2574535410590 2597940277959 2614143647676 2664554131240 2720688075820 2745421603782 2808584084280 2831988951649 2931009544364 3089442492708 3097398732472 3264825690984 3267679559595 3463920370612 3660562138376 3663761930455 3861803115885 3871748415590 3996831196860 4081032113730 4223725544280 4329900463265 4356906079460 4396514316546 4575702672970 4646098098708 4792596687406 4991675643240 5033272940267 5149070821180 5195880555918 5228287295352 5441376151640 5490843207564 5663977903298 5807622623385 5862019088728 6178884985416 6535359119190 6863554009455 6927840741224 7188895031109 7327523860910 7723606231770 7743496831180 7993662393720 8060276247001 8162064227460 8495966854947 8659800926530 8713812158920 8793028633092 9151405345940 9292196197416 9525781019183 9585193374812 10066545880534 10298141642360 10391761111836 10981686415128 10991285791365 11327955806596 11615245246770 11981491718515 12989701389795 13070718238380 13727108018910 14159944758245 14377790062218 14655047721820 15099818820801 15447212463540 15486993662360 16120552494002 16324128454920 16991933709894 17319601853060 17586057266184 18302810691880 19051562038366 19170386749624 20133091761068 20783522223672 21982571582730 22655911613192 23230490493540 23962983437030 24180828741003 25166364701335 25979402779590 26141436476760 27454216037820 28319889516490 28577343057549 28755580124436 29310095443640 30199637641602 30894424927080 31151878468139 32241104988004 33983867419788 34639203706120 35944475155545 38103124076732 40266183522136 40301381235005 42479834274735 43965143165460 46460980987080 47628905095915 47925966874060 48361657482006 50332729402670 51958805559180 54908432075640 56639779032980 57154686115098 57511160248872 60399275283204 62303756936278 64482209976008 67967734839576 71888950311090 75499094104005 76206248153464 80602762470010 84959668549470 87930286330920 88663038717011 93455635404417 95257810191830 95851933748120 96723314964012 100665458805340 103917611118360 104783591211013 113279558065960 114309372230196 120798550566408 120904143705015 124607513872556 142886715287745 143777900622180 150998188208010 155759392340695 161205524940020 169919337098940 177326077434022 186911270808834 190515620383660 193446629928024 201330917610680 209567182422026 228618744460392 241808287410030 249215027745112 265989116151033 285773430575490 287555801244360 301996376416020 311518784681390 314350773633039 322411049880040 339838674197880 354652154868044 373822541617668 381031240767320 419134364844052 443315193585055 467278177022085 483616574820060 523917956055065 531978232302066 571546861150980 603992752832040 623037569362780 628701547266078 709304309736088 747645083235336 838268729688104 886630387170110 934556354044170 967233149640120 1047835912110130 1063956464604132 1143093722301960 1152619503321143 1246075138725560 1257403094532156 1329945580755165 1571753868165195 1773260774340220 1869112708088340 2095671824220260 2127912929208264 2305239006642286 2514806189064312 2659891161510330 3143507736330390 3457858509963429 3546521548680440 3738225416176680 4191343648440520 4610478013284572 5319782323020660 5763097516605715 6287015472660780 6915717019926858 9220956026569144 10639564646041320 11526195033211430 12574030945321560 13831434039853716 17289292549817145 23052390066422860 27662868079707432 34578585099634290 46104780132845720 69157170199268580 138314340398537160
- Sum of all divisors σ(n): 507002908574131200
- Sum of proper divisors (its aliquot sum) s(n): 368688568175594040
- 138314340398537160 is an abundant number, because the sum of its proper divisors (368688568175594040) is greater than itself. Its abundance is 230374227777056880
Bases of 138314340398537160
- Binary: 1111010110110010000101000111001101100110000011001110010002
- Hexadecimal: 0x1EB6428E6CC19C8
- Base-36: 11TWCASEUJ0O
Squares and roots of 138314340398537160
- 138314340398537160 squared (1383143403985371602) is 19130856759882408660580667900865600
- 138314340398537160 cubed (1383143403985371603) is 2646071834002031152948836179014634228818137765696000
-
The
square root of 138314340398537160 is 371906359.7177885851 -
The
cube root of 138314340398537160 is 517156.9950708399
Scales and comparisons
How big is 138314340398537160?- 138,314,340,398,537,160 seconds is equal to 4,397,968,190 years, 17 weeks, 8 hours, 46 minutes.
-
To count from 1 to 138,314,340,398,537,160 would take you about thirteen billion, one hundred ninety-three million, nine hundred four thousand, five hundred seventy 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 138314340398537160 cubic inches would be around 43096.4 feet tall.
Recreational maths with 138314340398537160
- 138314340398537160 backwards is 061735893043413831
- The number of decimal digits it has is: 18
- The sum of 138314340398537160's digits is 69
- More coming soon!
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"Number 138314340398537160 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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The information we have on file for 138314340398537160 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!
Keywords: Divisors of 138314340398537160, math, Factors of 138314340398537160, curriculum, school, college, exams, university, Prime factorization of 138314340398537160, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred fourteen trillion, three hundred forty billion, three hundred ninety-eight million, five hundred thirty-seven thousand, one hundred sixty.