138072293901286416
138,072,293,901,286,416 is an even composite number composed of five prime numbers multiplied together.
What does the number 138072293901286416 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 945 divisors.
138072293901286416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred forty-five divisors.
Prime factorization of 138072293901286416:
24 × 36 × 72 × 732 × 67332
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 73 × 73 × 6733 × 6733)See below for interesting mathematical facts about the number 138072293901286416 from the Numbermatics database.
Names of 138072293901286416
- Cardinal: 138072293901286416 can be written as One hundred thirty-eight quadrillion, seventy-two trillion, two hundred ninety-three billion, nine hundred one million, two hundred eighty-six thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.38072293901286416 × 1017
Factors of 138072293901286416
Divisors of 138072293901286416
- Number of divisors d(n): 945
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 73 81 84 98 108 112 126 144 146 147 162 168 189 196 216 219 243 252 292 294 324 336 378 392 432 438 441 486 504 511 567 584 588 648 657 729 756 784 876 882 972 1008 1022 1134 1168 1176 1296 1314 1323 1458 1512 1533 1701 1752 1764 1944 1971 2044 2268 2352 2628 2646 2916 3024 3066 3402 3504 3528 3577 3888 3942 3969 4088 4536 4599 5103 5256 5292 5329 5832 5913 6132 6733 6804 7056 7154 7884 7938 8176 9072 9198 10206 10512 10584 10658 10731 11664 11826 11907 12264 13466 13608 13797 14308 15768 15876 15987 17739 18396 20199 20412 21168 21316 21462 23652 23814 24528 26932 27216 27594 28616 31536 31752 31974 32193 35478 35721 36792 37303 40398 40824 41391 42632 42924 47131 47304 47628 47961 53217 53864 55188 57232 60597 63504 63948 64386 70956 71442 73584 74606 80796 81648 82782 85264 85848 94262 94608 95256 95922 96579 106434 107728 110376 111909 121194 124173 127896 128772 141393 141912 142884 143883 149212 161592 165564 171696 181791 188524 190512 191844 193158 212868 220752 223818 242388 248346 255792 257544 261121 282786 283824 285768 287766 289737 298424 323184 329917 331128 335727 363582 372519 377048 383688 386316 424179 425736 431649 447636 484776 491509 496692 515088 522242 545373 565572 571536 575532 579474 596848 659834 662256 671454 727164 745038 754096 767376 772632 783363 848358 851472 863298 869211 895272 969552 983018 989751 993384 1007181 1044484 1090746 1131144 1151064 1158948 1272537 1294947 1319668 1342908 1454328 1474527 1490076 1545264 1566726 1636119 1696716 1726596 1738422 1790544 1966036 1979502 1986768 2014362 2088968 2181492 2262288 2302128 2317896 2350089 2545074 2589894 2607633 2639336 2685816 2908656 2949054 2969253 2980152 3021543 3133452 3272238 3393432 3440563 3453192 3476844 3817611 3884841 3932072 3959004 4028724 4177936 4362984 4423581 4635792 4700178 4908357 5090148 5179788 5215266 5278672 5371632 5898108 5938506 5960304 6043086 6266904 6544476 6786864 6881126 6906384 6953688 7050267 7635222 7769682 7864144 7918008 8057448 8725968 8847162 8907759 9064629 9400356 9816714 10180296 10321689 10359576 10430532 11452833 11796216 11877012 12086172 12533808 13088952 13270743 13762252 13907376 14100534 15270444 15539364 15836016 16114896 17694324 17815518 18129258 18800712 19633428 20360592 20643378 20719152 20861064 21150801 22905666 23592432 23754024 24083941 24172344 26177904 26541486 26723277 27193887 27524504 28201068 30540888 30965067 31078728 34358499 35388648 35631036 35880157 36258516 37601424 39266856 39812229 41286756 41722128 42301602 45333289 45811332 47508048 48167882 48344688 53082972 53446554 54387774 55049008 56402136 61081776 61930134 62157456 63452403 68716998 70777296 71262072 71760314 72251823 72517032 78533712 79624458 80169831 82573512 84603204 90666578 91622664 92895201 96335764 106165944 106893108 107640471 108775548 112804272 119436687 123860268 126904806 135999867 137433996 142524144 143520628 144503646 145034064 159248916 160339662 165147024 169206408 181333156 183245328 185790402 190357209 192671528 212331888 213786216 215280942 216755469 217551096 238873374 240509493 247720536 251161099 253809612 271999734 274867992 278685603 287041256 289007292 317333023 318497832 320679324 322921413 338412816 358310061 362666312 371580804 380714418 385343056 407999601 427572432 430561884 433510938 435102192 477746748 481018986 495441072 502322198 507619224 543999468 549735984 557371206 574082512 578014584 634666046 636995664 641358648 645842826 650266407 716620122 725332624 743161608 753483297 761428836 815999202 836056809 861123768 867021876 951999069 955493496 962037972 968764239 1004644396 1015238448 1087998936 1114742412 1156029168 1223998803 1269332092 1282717296 1291685652 1300532814 1433240244 1486323216 1506966594 1522857672 1631998404 1672113618 1722247536 1734043752 1758127693 1903998138 1910986992 1924075944 1937528478 1950799221 2009288792 2175997872 2221331161 2229484824 2260449891 2447997606 2508170427 2538664184 2583371304 2601065628 2855997207 2866480488 2906292717 3013933188 3045715344 3263996808 3309330097 3344227236 3468087504 3516255386 3671996409 3807996276 3848151888 3875056956 3901598442 4018577584 4442662322 4458969648 4520899782 4895995212 5016340854 5077328368 5166742608 5202131256 5274383079 5711994414 5732960976 5812585434 5852397663 6027866376 6527993616 6618660194 6663993483 6688454472 6781349673 7032510772 7343992818 7615992552 7750113912 7803196884 8567991621 8718878151 8885324644 9041799564 9791990424 9927990291 10032681708 10404262512 10548766158 11015989227 11423988828 11625170868 11704795326 12055732752 13237320388 13327986966 13376908944 13562699346 14065021544 14687985636 15231985104 15500227824 15606393768 15823149237 17135983242 17437756302 17557192989 17770649288 18083599128 19583980848 19855980582 19991980449 20065363416 20344049019 21097532316 22031978454 22847977656 23165310679 23250341736 23409590652 25703974863 26156634453 26474640776 26655973932 27125398692 28130043088 29375971272 29783970873 31212787536 31646298474 33047967681 34271966484 34875512604 35114385978 35541298576 36167198256 39711961164 39983960898 40130726832 40688098038 42195064632 44063956908 45695955312 46330621358 46500683472 46819181304 47469447711 51407949726 52313268906 52949281552 53311947864 54250797384 58751942544 59567941746 59975941347 61032147057 63292596948 66095935362 68543932968 69495932037 69751025208 70228771956 77111924589 79423922328 79967921796 81376196076 84390129264 88127913816 89351912619 92661242716 93638362608 94938895422 102815899452 104626537812 106623895728 108501594768 119135883492 119951882694 122064294114 126585193896 132191870724 137087865936 138991864074 139502050416 140457543912 142408343133 154223849178 158847844656 159935843592 162157174753 162752392152 176255827632 178703825238 179927824041 183096441171 185322485432 189877790844 205631798904 208487796111 209253075624 231335773767 238271766984 239903765388 241581097081 244128588228 253170387792 264383741448 268055737857 277983728148 280915087824 284816686266 308447698356 319871687184 324314349506 325504784304 357407650476 359855648082 366192882342 370644970864 379755581688 411263597808 416975592222 418506151248 427225029399 462671547534 476543533968 479807530776 483162194162 486471524259 488257176456 528767482896 536111475714 539783472123 555967456296 569633372532 616895396712 625463388333 648628699012 714815300952 719711296164 724743291243 732385764684 759511163376 804167213571 833951184444 854450058798 925343095068 959615061552 966324388324 972943048518 976514352912 1072222951428 1079566944246 1111934912592 1139266745064 1233790793424 1250926776666 1281675088197 1297257398024 1429630601904 1439422592328 1449486582486 1459414572777 1464771529368 1608334427142 1619350416369 1667902368888 1691067679567 1708900117596 1850686190136 1876390164999 1932648776648 1945886097036 2144445902856 2159133888492 2174229873729 2278533490128 2412501640713 2501853553332 2563350176394 2594514796048 2878845184656 2898973164972 2918829145554 2929543058736 3216668854284 3238700832738 3335804737776 3382135359134 3417800235192 3701372380272 3752780329998 3865297553296 3891772194072 4288891805712 4318267776984 4348459747458 4378243718331 4825003281426 5003707106664 5073203038701 5126700352788 5629170494997 5797946329944 5837658291108 6433337708568 6477401665476 6522689621187 6764270718268 6835600470384 7505560659996 7783544388144 8636535553968 8696919494916 8756487436662 9650006562852 10007414213328 10146406077402 10253400705576 11258340989994 11595892659888 11675316582216 11837473756969 12866675417136 12954803330952 13045379242374 13134731154993 13528541436536 15011121319992 15219609116103 16887511484991 17393838989832 17512974873324 19300013125704 19568068863561 20292812154804 20506801411152 22516681979988 23350633164432 23674947513938 25909606661904 26090758484748 26269462309986 27057082873072 30022242639984 30439218232206 33775022969982 34787677979664 35025949746648 35512421270907 38600026251408 39136137727122 39404193464979 40585624309608 45033363959976 45658827348309 47349895027876 52181516969496 52538924619972 58704206590683 60878436464412 67550045939964 70051899493296 71024842541814 78272275454244 78808386929958 81171248619216 90066727919952 91317654696618 94699790055752 104363033938992 105077849239944 106537263812721 117408413181366 118212580394937 121756872928824 135100091879928 136976482044927 142049685083628 156544550908488 157616773859916 176112619772049 182635309393236 189399580111504 210155698479888 213074527625442 234816826362732 236425160789874 243513745857648 270200183759856 273952964089854 284099370167256 313089101816976 315233547719832 319611791438163 352225239544098 365270618786472 410929446134781 426149055250884 469633652725464 472850321579748 547905928179708 568198740334512 630467095439664 639223582876326 704450479088196 730541237572944 821858892269562 852298110501768 939267305450928 945700643159496 958835374314489 1095811856359416 1232788338404343 1278447165752652 1408900958176392 1643717784539124 1704596221003536 1891401286318992 1917670748628978 2191623712718832 2465576676808686 2556894331505304 2817801916352784 2876506122943467 3287435569078248 3835341497257956 4931153353617372 5113788663010608 5753012245886934 6574871138156496 7670682994515912 8629518368830401 9862306707234744 11506024491773868 15341365989031824 17259036737660802 19724613414469488 23012048983547736 34518073475321604 46024097967095472 69036146950643208 138072293901286416
- Sum of all divisors σ(n): 473122296363192039
- Sum of proper divisors (its aliquot sum) s(n): 335050002461905623
- 138072293901286416 is an abundant number, because the sum of its proper divisors (335050002461905623) is greater than itself. Its abundance is 196977708560619207
Bases of 138072293901286416
- Binary: 1111010101000100000000101000011110100111100111100000100002
- Hexadecimal: 0x1EA88050F4F3C10
- Base-36: 11RIJK5VU900
Squares and roots of 138072293901286416
- 138072293901286416 squared (1380722939012864162) is 19063958343163214026060979666125056
- 138072293901286416 cubed (1380722939012864163) is 2632204459279112523710872492917691867404136330039296
-
138072293901286416 is a
perfect square number . Itssquare root is 371580804 -
The
cube root of 138072293901286416 is 516855.1484988279
Scales and comparisons
How big is 138072293901286416?- 138,072,293,901,286,416 seconds is equal to 4,390,271,860 years, 21 weeks, 3 days, 19 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,072,293,901,286,416 would take you about thirteen billion, one hundred seventy million, eight hundred fifteen thousand, five hundred eighty-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 138072293901286416 cubic inches would be around 43071.3 feet tall.
Recreational maths with 138072293901286416
- 138072293901286416 backwards is 614682109392270831
- 138072293901286416 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138072293901286416's digits is 72
- More coming soon!
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The information we have on file for 138072293901286416 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 138072293901286416, math, Factors of 138072293901286416, curriculum, school, college, exams, university, Prime factorization of 138072293901286416, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seventy-two trillion, two hundred ninety-three billion, nine hundred one million, two hundred eighty-six thousand, four hundred sixteen.