138314731146420442880
138,314,731,146,420,442,880 is an even composite number composed of five prime numbers multiplied together.
What does the number 138314731146420442880 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
138314731146420442880 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138314731146420442880:
28 × 5 × 7 × 373 × 7434
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 37 × 37 × 37 × 743 × 743 × 743 × 743)See below for interesting mathematical facts about the number 138314731146420442880 from the Numbermatics database.
Names of 138314731146420442880
- Cardinal: 138314731146420442880 can be written as One hundred thirty-eight quintillion, three hundred fourteen quadrillion, seven hundred thirty-one trillion, one hundred forty-six billion, four hundred twenty million, four hundred forty-two thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3831473114642044288 × 1020
Factors of 138314731146420442880
Divisors of 138314731146420442880
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 128 140 148 160 185 224 256 259 280 296 320 370 448 518 560 592 640 740 743 896 1036 1120 1184 1280 1295 1369 1480 1486 1792 2072 2240 2368 2590 2738 2960 2972 3715 4144 4480 4736 5180 5201 5476 5920 5944 6845 7430 8288 8960 9472 9583 10360 10402 10952 11840 11888 13690 14860 16576 19166 20720 20804 21904 23680 23776 26005 27380 27491 29720 33152 38332 41440 41608 43808 47360 47552 47915 50653 52010 54760 54982 59440 66304 76664 82880 83216 87616 95104 95830 101306 104020 109520 109964 118880 137455 153328 165760 166432 175232 190208 191660 192437 202612 208040 219040 219928 237760 253265 274910 306656 331520 332864 350464 354571 383320 384874 405224 416080 438080 439856 475520 506530 549820 552049 613312 665728 709142 766640 769748 810448 832160 876160 879712 951040 962185 1013060 1017167 1099640 1104098 1226624 1331456 1418284 1533280 1539496 1620896 1664320 1752320 1759424 1772855 1924370 2026120 2034334 2199280 2208196 2453248 2760245 2836568 3066560 3078992 3241792 3328640 3518848 3545710 3848740 3864343 4052240 4068668 4398560 4416392 5085835 5520490 5673136 6133120 6157984 6483584 6657280 7037696 7091420 7120169 7697480 7728686 8104480 8137336 8797120 8832784 10171670 11040980 11346272 12266240 12315968 12967168 14182840 14240338 15394960 15457372 16208960 16274672 17594240 17665568 19321715 20343340 20425813 22081960 22692544 24631936 28365680 28480676 30789920 30914744 32417920 32549344 35188480 35331136 35600845 37635179 38643430 40686680 40851626 44163920 45385088 49263872 56731360 56961352 61579840 61829488 64835840 65098688 70662272 71201690 75270358 77286860 81373360 81703252 88327840 90770176 102129065 113462720 113922704 123159680 123658976 130197376 141324544 142403380 142980691 150540716 154573720 162746720 163406504 176655680 188175895 204258130 226925440 227845408 246319360 247317952 260394752 263446253 284806760 285961382 301081432 309147440 325493440 326813008 353311360 376351790 408516260 410172407 453850880 455690816 494635904 526892506 569613520 571922764 602162864 618294880 650986880 653626016 706622720 714903455 752703580 755755081 817032520 820344814 911381632 989271808 1053785012 1139227040 1143845528 1204325728 1236589760 1301973760 1307252032 1317231265 1429806910 1505407160 1511510162 1634065040 1640689628 1822763264 2050862035 2107570024 2278454080 2287691056 2408651456 2473179520 2614504064 2634462530 2859613820 2871206849 3010814320 3023020324 3268130080 3281379256 3778775405 4101724070 4215140048 4556908160 4575382112 4817302912 4946359040 5229008128 5268925060 5290285567 5719227640 5742413698 6021628640 6046040648 6536260160 6562758512 7557550810 8203448140 8430280096 9113816320 9150764224 9634605824 10537850120 10580571134 11438455280 11484827396 12043257280 12092081296 13072520320 13125517024 14356034245 15115101620 15176379059 16406896280 16860560192 18301528448 21075700240 21161142268 22876910560 22969654792 24086514560 24184162592 26145040640 26251034048 26451427835 27962937997 28712068490 30230203240 30352758118 32813792560 33721120384 36603056896 42151400480 42322284536 45753821120 45939309584 48173029120 48368325184 52502068096 52902855670 55925875994 57424136980 60460406480 60705516236 65627585120 67442240768 75881895295 84302800960 84644569072 91507642240 91878619168 96736650368 105004136192 105805711340 106234653413 111851751988 114848273960 120920812960 121411032472 131255170240 139814689985 151763790590 168605601920 169289138144 183015284480 183757238336 193473300736 195740565979 211611422680 212469306826 223703503976 229696547920 241841625920 242822064944 262510340480 279629379970 303527581180 304758098401 337211203840 338578276288 367514476672 391481131958 423222845360 424938613652 447407007952 459393095840 483683251840 485644129888 525020680960 531173267065 559258759940 561526025183 607055162360 609516196802 677156552576 735028953344 782962263916 846445690720 849877227304 894814015904 918786191680 967366503680 971288259776 978702829895 1062346534130 1118517519880 1123052050366 1214110324720 1219032393604 1354313105152 1523790492005 1565924527832 1692891381440 1699754454608 1789628031808 1837572383360 1942576519552 1957405659790 2124693068260 2133306688807 2237035039760 2246104100732 2428220649440 2438064787208 2807630125915 3047580984010 3131849055664 3385782762880 3399508909216 3579256063616 3675144766720 3885153039104 3914811319580 3930682176281 4249386136520 4266613377614 4474070079520 4492208201464 4856441298880 4876129574416 5615260251830 6095161968020 6263698111328 6771565525760 6799017818432 7158512127232 7829622639160 7861364352562 8498772273040 8533226755228 8948140159040 8984416402928 9712882597760 9752259148832 10666533444035 11230520503660 11276049640837 12190323936040 12527396222656 13598035636864 15659245278320 15722728705124 16997544546080 17066453510456 17896280318080 17968832805856 19425765195520 19504518297664 19653410881405 20776462931771 21333066888070 22461041007320 22552099281674 24380647872080 25054792445312 27196071273728 31318490556640 31445457410248 33995089092160 34132907020912 35792560636160 35937665611712 39009036595328 39306821762810 41552925863542 42666133776140 44922082014640 45104198563348 48761295744160 50109584890624 56380248204185 62636981113280 62890914820496 67990178184320 68265814041824 71875331223424 78018073190656 78613643525620 78932347485859 83105851727084 85332267552280 89844164029280 90208397126696 97522591488320 103882314658855 112760496408370 125273962226560 125781829640992 135980356368640 136531628083648 143750662446848 145435240522397 157227287051240 157864694971718 166211703454168 170664535104560 179688328058560 180416794253392 195045182976640 207764629317710 225520992816740 250547924453120 251563659281984 273063256167296 290870481044794 314454574102480 315729389943436 332423406908336 341329070209120 359376656117120 360833588506784 390090365953280 394661737429295 415529258635420 417213836710969 451041985633480 503127318563968 546126512334592 581740962089588 628909148204960 631458779886872 664846813816672 682658140418240 718753312234240 721667177013568 727176202611985 789323474858590 831058517270840 834427673421938 902083971266960 1006254637127936 1163481924179176 1257818296409920 1262917559773744 1329693627633344 1365316280836480 1443334354027136 1454352405223970 1578646949717180 1662117034541680 1668855346843876 1804167942533920 2086069183554845 2326963848358352 2515636592819840 2525835119547488 2659387255266688 2730632561672960 2886668708054272 2908704810447940 2920496856976783 3157293899434360 3324234069083360 3337710693687752 3608335885067840 4172138367109690 4653927696716704 5031273185639680 5051670239094976 5318774510533376 5817409620895880 5840993713953566 6314587798868720 6648468138166720 6675421387375504 7216671770135680 8344276734219380 9307855393433408 10103340478189952 11634819241791760 11681987427907132 12629175597737440 13296936276333440 13350842774751008 14433343540271360 14602484284883915 15436911958305853 16688553468438760 18615710786866816 20206680956379904 23269638483583520 23363974855814264 25258351195474880 26593872552666880 26701685549502016 29204968569767830 30873823916611706 33377106936877520 37231421573733632 46539276967167040 46727949711628528 50516702390949760 53403371099004032 58409937139535660 61747647833223412 66754213873755040 77184559791529265 93078553934334080 93455899423257056 101033404781899520 106806742198008064 108058383708140971 116819874279071320 123495295666446824 133508427747510080 154369119583058530 186157107868668160 186911798846514112 216116767416281942 233639748558142640 246990591332893648 267016855495020160 308738239166117060 373823597693028224 432233534832563884 467279497116285280 493981182665787296 534033710990040320 540291918540704855 617476478332234120 747647195386056448 864467069665127768 934558994232570560 987962365331574592 1080583837081409710 1234952956664468240 1728934139330255536 1869117988465141120 1975924730663149184 2161167674162819420 2469905913328936480 3457868278660511072 3738235976930282240 3951849461326298368 4322335348325638840 4939811826657872960 6915736557321022144 8644670696651277680 9879623653315745920 13831473114642044288 17289341393302555360 19759247306631491840 27662946229284088576 34578682786605110720 69157365573210221440 138314731146420442880
- Sum of all divisors σ(n): 389678517929154175680
- Sum of proper divisors (its aliquot sum) s(n): 251363786782733732800
- 138314731146420442880 is an abundant number, because the sum of its proper divisors (251363786782733732800) is greater than itself. Its abundance is 113049055636313289920
Bases of 138314731146420442880
- Binary: 11101111111100000001010001100100111101000100000110001010111000000002
- Hexadecimal: 0x77F80A327A20C5700
- Base-36: T6UM860C0WIRK
Squares and roots of 138314731146420442880
- 138314731146420442880 squared (1383147311464204428802) is 19130964852106569361135076653175342694400
- 138314731146420442880 cubed (1383147311464204428803) is 2646094260090739270885397568763164403669433042009820495872000
-
The
square root of 138314731146420442880 is 11760728342.5143547901 -
The
cube root of 138314731146420442880 is 5171574.8207218835
Scales and comparisons
How big is 138314731146420442880?- 138,314,731,146,420,442,880 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,314,731,146,420,442,880 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138314731146420442880 cubic inches would be around 430964.6 feet tall.
Recreational maths with 138314731146420442880
- 138314731146420442880 backwards is 088244024641137413831
- 138314731146420442880 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138314731146420442880's digits is 74
- More coming soon!
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The information we have on file for 138314731146420442880 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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