138948048621149472
138,948,048,621,149,472 is an even composite number composed of four prime numbers multiplied together.
What does the number 138948048621149472 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 600 divisors.
138948048621149472 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 138948048621149472:
25 × 34 × 413 × 1674
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 41 × 41 × 41 × 167 × 167 × 167 × 167)See below for interesting mathematical facts about the number 138948048621149472 from the Numbermatics database.
Names of 138948048621149472
- Cardinal: 138948048621149472 can be written as One hundred thirty-eight quadrillion, nine hundred forty-eight trillion, forty-eight billion, six hundred twenty-one million, one hundred forty-nine thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.38948048621149472 × 1017
Factors of 138948048621149472
Divisors of 138948048621149472
- Number of divisors d(n): 600
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 167 216 246 288 324 328 334 369 432 492 501 648 656 668 738 864 984 1002 1107 1296 1312 1336 1476 1503 1681 1968 2004 2214 2592 2672 2952 3006 3321 3362 3936 4008 4428 4509 5043 5344 5904 6012 6642 6724 6847 8016 8856 9018 10086 11808 12024 13284 13448 13527 13694 15129 16032 17712 18036 20172 20541 24048 26568 26896 27054 27388 27889 30258 35424 36072 40344 41082 45387 48096 53136 53792 54108 54776 55778 60516 61623 68921 72144 80688 82164 83667 90774 106272 108216 109552 111556 121032 123246 136161 137842 144288 161376 164328 167334 181548 184869 206763 216432 219104 223112 242064 246492 251001 272322 275684 280727 328656 334668 363096 369738 413526 432864 446224 484128 492984 502002 544644 551368 554607 561454 620289 657312 669336 726192 739476 753003 827052 842181 892448 985968 1004004 1089288 1102736 1109214 1122908 1143449 1240578 1338672 1452384 1478952 1506006 1654104 1684362 1860867 1971936 2008008 2178576 2205472 2218428 2245816 2259009 2286898 2481156 2526543 2677344 2957904 3012012 3308208 3368724 3430347 3721734 4016016 4357152 4436856 4491632 4518018 4573796 4657463 4962312 5053086 5582601 5915808 6024024 6616416 6737448 6860694 7443468 7579629 8032032 8873712 8983264 9036036 9147592 9314926 9924624 10106172 10291041 11165202 11509807 12048048 13474896 13721388 13972389 14886936 15159258 17747424 18072072 18295184 18629852 19849248 20212344 20582082 22330404 22738887 23019614 24096096 26949792 27442776 27944778 29773872 30318516 30873123 34529421 36144144 36590368 37259704 40424688 41164164 41917167 44660808 45477774 46039228 46881409 54885552 55889556 59547744 60637032 61746246 69058842 72288288 74519408 80849376 82328328 83834334 89321616 90955548 92078456 92619369 93762818 103588263 109771104 111779112 121274064 123492492 125751501 138117684 140644227 149038816 164656656 167668668 178643232 181911096 184156912 185238738 187525636 190955983 207176526 223558224 242548128 246984984 251503002 276235368 281288454 310764789 329313312 335337336 363822192 368313824 370477476 375051272 377254503 381911966 414353052 421932681 447116448 493969968 503006004 552470736 562576908 572867949 621529578 670674672 727644384 740954952 750102544 754509006 763823932 777796321 828706104 843865362 932294367 987939936 1006012008 1104941472 1125153816 1145735898 1243059156 1265798043 1341349344 1481909904 1500205088 1509018012 1527647864 1555592642 1657412208 1687730724 1718603847 1864588734 1922137769 2012024016 2250307632 2291471796 2333388963 2486118312 2531596086 2963819808 3018036024 3055295728 3111185284 3314824416 3375461448 3437207694 3729177468 3797394129 3844275538 4024048032 4500615264 4582943592 4666777926 4972236624 5063192172 5155811541 5766413307 6036072048 6110591456 6222370568 6750922896 6874415388 7000166889 7458354936 7594788258 7688551076 7829195303 9165887184 9333555852 9944473248 10126384344 10311623082 11532826614 12072144096 12444741136 13501845792 13748830776 14000333778 14916709872 15189576516 15377102152 15467434623 15658390606 17299239921 18331774368 18667111704 20252768688 20623246164 21000500667 23065653228 23487585909 24889482272 27497661552 28000667556 29833419744 30379153032 30754204304 30934869246 31316781212 31889649161 34598479842 37334223408 40505537376 41246492328 42001001334 46131306456 46975171818 51897719763 54995323104 56001335112 60758306064 61508408608 61869738492 62633562424 63001502001 63779298322 69196959684 70462757727 74668446816 82492984656 84002002668 92262612912 93950343636 95668947483 103795439526 112002670224 121516612128 123739476984 125267124848 126003004002 127558596644 138393919368 140925515454 155693159289 164985969312 168004005336 184525225824 187900687272 191337894966 207590879052 211388273181 224005340448 247478953968 250534249696 252006008004 255117193288 276787838736 281851030908 287006842449 311386318578 320997007423 336008010672 375801374544 382675789932 415181758104 422776546362 494957907936 504012016008 510234386576 553575677472 563702061816 574013684898 622772637156 634164819543 641994014846 672016021344 751602749088 765351579864 830363516208 845553092724 861020527347 962991022269 1008024032016 1020468773152 1127404123632 1148027369796 1245545274312 1268329639086 1283988029692 1307475615601 1530703159728 1660727032416 1691106185448 1722041054694 1925982044538 2016048064032 2254808247264 2296054739592 2491090548624 2536659278172 2567976059384 2583061582041 2614951231202 2888973066807 3061406319456 3382212370896 3444082109388 3851964089076 3922426846803 4592109479184 4982181097248 5073318556344 5135952118768 5166123164082 5229902462404 5777946133614 6764424741792 6888164218776 7703928178152 7844853693606 8666919200421 9184218958368 10146637112688 10271904237536 10332246328164 10459804924808 11555892267228 11767280540409 13776328437552 15407856356304 15689707387212 17333838400842 20293274225376 20664492656328 20919609849616 23111784534456 23534561080818 26000757601263 27552656875104 30815712712608 31379414774424 34667676801684 35301841621227 41328985312656 41839219699232 46223569068912 47069122161636 52001515202526 53606500239641 62758829548848 69335353603368 70603683242454 82657970625312 92447138137824 94138244323272 104003030405052 105905524863681 107213000479282 125517659097696 138670707206736 141207366484908 160819500718923 188276488646544 208006060810104 211811049727362 214426000958564 277341414413472 282414732969816 321639001437846 376552977293088 416012121620208 423622099454724 428852001917128 482458502156769 564829465939632 643278002875692 832024243240416 847244198909448 857704003834256 964917004313538 1129658931879264 1286556005751384 1447375506470307 1694488397818896 1715408007668512 1929834008627076 2573112011502768 2894751012940614 3388976795637792 3859668017254152 4342126519410921 5146224023005536 5789502025881228 7719336034508304 8684253038821842 11579004051762456 15438672069016608 17368506077643684 23158008103524912 34737012155287368 46316016207049824 69474024310574736 138948048621149472
- Sum of all divisors σ(n): 421381504419629292
- Sum of proper divisors (its aliquot sum) s(n): 282433455798479820
- 138948048621149472 is an abundant number, because the sum of its proper divisors (282433455798479820) is greater than itself. Its abundance is 143485407177330348
Bases of 138948048621149472
- Binary: 1111011011010010010000011100110000100110000011101001000002
- Hexadecimal: 0x1EDA483984C1D20
- Base-36: 1204Z0BSQA00
Squares and roots of 138948048621149472
- 138948048621149472 squared (1389480486211494722) is 19306560215625317687087978565878784
- 138948048621149472 cubed (1389480486211494723) is 2682608867547856676072621657161655545156555897602048
-
The
square root of 138948048621149472 is 372757358.9094512725 -
The
cube root of 138948048621149472 is 517945.6031054373
Scales and comparisons
How big is 138948048621149472?- 138,948,048,621,149,472 seconds is equal to 4,418,118,151 years, 32 weeks, 1 day, 5 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,948,048,621,149,472 would take you about thirteen billion, two hundred fifty-four million, three hundred fifty-four thousand, four hundred fifty-four 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 138948048621149472 cubic inches would be around 43162.1 feet tall.
Recreational maths with 138948048621149472
- 138948048621149472 backwards is 274941126840849831
- 138948048621149472 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138948048621149472's digits is 81
- More coming soon!
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The information we have on file for 138948048621149472 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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