138042441310696560
138,042,441,310,696,560 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138042441310696560 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1280 divisors.
138042441310696560 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138042441310696560:
24 × 33 × 5 × 11 × 61 × 1741 × 2801 × 19531
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 61 × 1741 × 2801 × 19531)See below for interesting mathematical facts about the number 138042441310696560 from the Numbermatics database.
Names of 138042441310696560
- Cardinal: 138042441310696560 can be written as One hundred thirty-eight quadrillion, forty-two trillion, four hundred forty-one billion, three hundred ten million, six hundred ninety-six thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3804244131069656 × 1017
Factors of 138042441310696560
Divisors of 138042441310696560
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 61 66 72 80 88 90 99 108 110 120 122 132 135 144 165 176 180 183 198 216 220 240 244 264 270 297 305 330 360 366 396 432 440 488 495 528 540 549 594 610 660 671 720 732 792 880 915 976 990 1080 1098 1188 1220 1320 1342 1464 1485 1584 1647 1741 1830 1980 2013 2160 2196 2376 2440 2640 2684 2745 2801 2928 2970 3294 3355 3482 3660 3960 4026 4392 4752 4880 5223 5368 5490 5602 5940 6039 6588 6710 6964 7320 7920 8052 8235 8403 8705 8784 10065 10446 10736 10980 11204 11880 12078 13176 13420 13928 14005 14640 15669 16104 16470 16806 17410 18117 19151 19531 20130 20892 21960 22408 23760 24156 25209 26115 26352 26840 27856 28010 30195 30811 31338 32208 32940 33612 34820 36234 38302 39062 40260 41784 42015 43920 44816 47007 48312 50418 52230 53680 56020 57453 58593 60390 61622 62676 65880 67224 69640 72468 75627 76604 78124 78345 80520 83568 84030 90585 92433 94014 95755 96624 97655 100836 104460 106201 112040 114906 117186 120780 123244 125352 126045 131760 134448 139280 144936 151254 153208 154055 156248 156690 161040 168060 170861 172359 175779 181170 184866 188028 191510 195310 201672 208920 212402 214841 224080 229812 234372 235035 241560 246488 250704 252090 277299 287265 289872 292965 302508 306416 308110 312496 313380 318603 336120 341722 344718 351558 362340 369732 376056 378135 383020 390620 403344 417840 424804 429682 459624 462165 468744 470070 483120 492976 504180 512583 517077 527337 531005 554598 574530 585930 605016 616220 626760 637206 644523 672240 683444 689436 703116 724680 739464 752112 756270 766040 781240 831897 849608 854305 859364 861795 878895 919248 924330 937488 940140 955809 1008360 1025166 1034154 1054674 1062010 1074205 1109196 1149060 1168211 1171860 1191391 1210032 1232440 1253520 1274412 1289046 1366888 1378872 1386495 1406232 1449360 1478928 1512540 1532080 1537749 1562480 1593015 1663794 1699216 1708610 1718728 1723590 1757790 1848660 1879471 1880280 1911618 1933569 2016720 2050332 2068308 2109348 2124020 2148410 2218392 2298120 2336422 2343720 2382782 2464880 2548824 2562915 2578092 2585385 2636685 2733776 2757744 2772990 2812464 2867427 3025080 3075498 3186030 3222615 3327588 3417220 3437456 3447180 3504633 3515580 3574173 3697320 3758942 3760560 3823236 3867138 4100664 4136616 4159485 4218696 4248040 4296820 4436784 4596240 4613247 4672844 4687440 4765564 4779045 4876541 5097648 5125830 5156184 5170770 5273370 5545980 5638413 5734854 5800707 5841055 5956955 6050160 6150996 6372060 6445230 6655176 6834440 6894360 7009266 7031160 7148346 7394640 7517884 7646472 7688745 7734276 8201328 8273232 8318970 8437392 8496080 8593640 9226494 9345688 9397355 9531128 9558090 9667845 9753082 10251660 10312368 10341540 10513899 10546740 10722519 11091960 11276826 11469708 11601414 11682110 11913910 12301992 12744120 12890460 13105301 13310352 13668880 13788720 14018532 14062320 14296692 14337135 14629623 15035768 15292944 15377490 15468552 16637940 16915239 17187280 17523165 17870865 18452988 18691376 18794710 19062256 19116180 19335690 19506164 20503320 20683080 21027798 21093480 21445038 22183920 22553652 22939416 23066235 23202828 23364220 23827820 24382705 24603984 25488240 25780920 26210602 28037064 28192065 28593384 28674270 29003535 29259246 30071536 30754980 30937104 31541697 32167557 33275880 33830478 34003471 35046330 35741730 36905976 37589420 38232360 38671380 39012328 39315903 41006640 41366160 42055596 42186960 42890076 43888869 45107304 45878832 46132470 46405656 46728440 47655640 48765410 50745717 51561840 52421204 52569495 53612595 53641951 54706331 56074128 56384130 57186768 57348540 58007070 58518492 61509960 63083394 64335114 65526505 66551760 67660956 68006942 70092660 71483460 73148115 73811952 75178840 76464720 77342760 78024656 78631806 84111192 84576195 85780152 87777738 90214608 92264940 92811312 93456880 95311280 97530820 101491434 102010413 104842408 105138990 107225190 107283902 109412662 112768260 114697080 116014140 117036984 117947709 123019920 126166788 128670228 131053010 131666607 135321912 136013884 140185320 142966920 146296230 150357680 154685520 157263612 157708485 160837785 160925853 164118993 168222384 169152390 170017355 171560304 175555476 184529880 195061640 196579515 202982868 204020826 209684816 210277980 214450380 214567804 218825324 219444345 225536520 229394160 232028280 234073968 235895418 252333576 253728585 257340456 262106020 263333214 268209755 270643824 272027768 273531655 280370640 285933840 292592460 297469001 306031239 314527224 315416970 321675570 321851706 328237986 338304780 340034710 351110952 353843127 369059760 374038181 390123280 393159030 405965736 408041652 420555960 428900760 429135608 437650648 438888690 451073040 464056560 471790836 482777559 492356979 504667152 507457170 510052065 514680912 524212040 526666428 536419510 544055536 547063310 585184920 589738545 594938002 601769641 612062478 629054448 630833940 643351140 643703412 656475972 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3511109520 3538431270 3569628012 3610617846 3672374868 3740381810 3862220472 3938855832 4059657360 4080416520 4148423462 4291356080 4376506480 4462035015 4488458172 4590468585 4717908360 4759504016 4814157128 4827775590 4896499824 4923569790 5266664280 5354442018 5415926769 5610572715 5661490032 5793330708 5908283748 5949380020 5984610896 6017696410 6120624780 6222635193 6437034120 6544318022 6564759720 6674172382 6732687258 7076862540 7139256024 7221235692 7241663385 7344749736 7385354685 7480763620 7724440944 7877711664 8031663027 8160833040 8296846924 8924070030 8976916344 9026544615 9180937170 9435816720 9628314256 9655551180 9816477033 9847139580 10011258573 10099030887 10371058655 10533328560 10708884036 10831853538 11221145430 11586661416 11816567496 11898760040 12035392820 12241249560 12445270386 12874068240 13088636044 13129519440 13348344764 13386105045 13465374516 14153725080 14278512048 14442471384 14483326770 14689499472 14770709370 14961527240 16063326054 16247780307 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72212356920 73415896202 73447497360 74671622316 78531816264 80090068584 80316630270 80792247096 81238901535 82968469240 86654828304 88348293297 89769163440 90101327157 91265316164 93339527895 95243722271 98164770330 99562163088 100112585730 100990308870 107088840360 108318535380 110123844303 112007433474 114081645205 115866614160 117797724396 118165674960 120135102876 124452703860 128506608432 129982242456 130886360440 133483447640 134653745160 136897974246 144424713840 146831792404 147247155495 149343244632 150168878595 157063632528 160180137168 160633260540 161584494192 162477803070 165936938480 176696586594 180202654314 182530632328 183539740505 186679055790 190487444542 196329540660 200225171460 201980617740 205346961369 214177680720 216637070760 220247688606 224014866948 228163290410 235595448792 240270205752 248905407720 259964484912 261772720880 266966895280 269307490320 273795948492 280018583685 285731166813 293663584808 294494310990 298686489264 300337757190 321266521080 324955606140 330371532909 342244935615 353393173188 360405308628 365061264656 367079481010 373358111580 380974889084 392659081320 400450342920 403961235480 410693922738 433274141520 440495377212 441741466485 448029733896 450506635785 456326580820 471190897584 476218611355 480540411504 497810815440 547591896984 550619221515 560037167370 571462333626 587327169616 588988621980 600675514380 616040884107 642533042160 649911212280 660743065818 684489871230 706786346376 720810617256 734158962020 746716223160 761949778168 785318162640 800900685840 807922470960 821387845476 857193500439 880990754424 883482932970 896059467792 901013271570 912653161640 952437222710 991114598727 1026734806845 1047680944981 1095183793968 1101238443030 1120074334740 1142924667252 1177977243960 1201351028760 1232081768214 1299822424560 1321486131636 1368979742460 1413572692752 1428655834065 1441621234512 1468317924040 1493432446320 1523899556336 1642775690952 1651857664545 1714387000878 1761981508848 1766965865940 1802026543140 1825306323280 1904874445420 1982229197454 2053469613690 2095361889962 2202476886060 2240148669480 2285849334504 2355954487920 2402702057520 2464163536428 2571580501317 2642972263272 2737959484920 2857311668130 2936635848080 3080204420535 3143042834943 3285551381904 3303715329090 3428774001756 3533931731880 3604053086280 3809748890840 3964458394908 4106939227380 4190723779924 4285967502195 4404953772120 4480297338960 4571698669008 4928327072856 4955572993635 5143161002634 5238404724905 5285944526544 5475918969840 5714623336260 5809867058531 6160408841070 6286085669886 6607430658180 6857548003512 7067863463760 7208106172560 7619497781680 7928916789816 8213878454760 8381447559848 8571935004390 8809907544240 9429128504829 9856654145712 9911145987270 10286322005268 10476809449810 11429246672520 11619734117062 12320817682140 12572171339772 12857902506585 13214861316360 13715096007024 15715214174715 15857833579632 16427756909520 16762895119696 17143870008780 17429601175593 18858257009658 19822291974540 20572644010536 20953618899620 22858493345040 23239468234124 24641635364280 25144342679544 25715805013170 26429722632720 28287385514487 29049335292655 31430428349430 34287740017560 34859202351186 37716514019316 39644583949080 41145288021072 41907237799240 46478936468248 47145642524145 49283270728560 50288685359088 51431610026340 52288803526779 56574771028974 58098670585310 62860856698860 63908537643841 68575480035120 69718404702372 75433028038632 79289167898160 83814475598480 87148005877965 92957872936496 94291285048290 102863220052680 104577607053558 113149542057948 116197341170620 125721713397720 127817075287682 139436809404744 141436927572435 150866056077264 156866410580337 174296011755930 188582570096580 191725612931523 205726440105360 209155214107116 226299084115896 232394682341240 251443426795440 255634150575364 261444017633895 278873618809488 282873855144870 313732821160674 319542688219205 348592023511860 377165140193160 383451225863046 418310428214232 452598168231792 464789364682480 511268301150728 522888035267790 565747710289740 575176838794569 627465642321348 639085376438410 697184047023720 754330280386320 766902451726092 784332052901685 836620856428464 958628064657615 1022536602301456 1045776070535580 1131495420579480 1150353677589138 1254931284642696 1278170752876820 1394368094047440 1533804903452184 1568664105803370 1725530516383707 1917256129315230 2091552141071160 2262990841158960 2300707355178276 2509862569285392 2556341505753640 2875884193972845 3067609806904368 3137328211606740 3451061032767414 3834512258630460 4183104282142320 4601414710356552 5112683011507280 5751768387945690 6274656423213480 6902122065534828 7669024517260920 8627652581918535 9202829420713104 11503536775891380 12549312846426960 13804244131069656 15338049034521840 17255305163837070 23007073551782760 27608488262139312 34510610327674140 46014147103565520 69021220655348280 138042441310696560
- Sum of all divisors σ(n): 527726457867847680
- Sum of proper divisors (its aliquot sum) s(n): 389684016557151120
- 138042441310696560 is an abundant number, because the sum of its proper divisors (389684016557151120) is greater than itself. Its abundance is 251641575246454560
Bases of 138042441310696560
- Binary: 1111010100110110011011110011101100100000001110100011100002
- Hexadecimal: 0x1EA6CDE76407470
- Base-36: 11R7YM2M69O0
Squares and roots of 138042441310696560
- 138042441310696560 squared (1380424413106965602) is 19055715603017104201938272395833600
- 138042441310696560 cubed (1380424413106965603) is 2630497502762813314982655949547554939546057852416000
-
The
square root of 138042441310696560 is 371540632.1126890693 -
The
cube root of 138042441310696560 is 516817.8960884161
Scales and comparisons
How big is 138042441310696560?- 138,042,441,310,696,560 seconds is equal to 4,389,322,640 years, 19 weeks, 3 days, 36 minutes.
-
To count from 1 to 138,042,441,310,696,560 would take you about thirteen billion, one hundred sixty-seven million, nine hundred sixty-seven thousand, nine hundred twenty-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 138042441310696560 cubic inches would be around 43068.2 feet tall.
Recreational maths with 138042441310696560
- 138042441310696560 backwards is 065696013144240831
- The number of decimal digits it has is: 18
- The sum of 138042441310696560's digits is 63
- More coming soon!
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"Number 138042441310696560 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 138042441310696560 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138042441310696560/
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Numbermatics. 2024. "Number 138042441310696560 - Facts about the integer". https://numbermatics.com/n/138042441310696560/
The information we have on file for 138042441310696560 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 138042441310696560, math, Factors of 138042441310696560, curriculum, school, college, exams, university, Prime factorization of 138042441310696560, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, forty-two trillion, four hundred forty-one billion, three hundred ten million, six hundred ninety-six thousand, five hundred sixty.