138476391544116000
138,476,391,544,116,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138476391544116000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
138476391544116000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138476391544116000:
25 × 32 × 53 × 37 × 68473 × 1518281
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 37 × 68473 × 1518281)See below for interesting mathematical facts about the number 138476391544116000 from the Numbermatics database.
Names of 138476391544116000
- Cardinal: 138476391544116000 can be written as One hundred thirty-eight quadrillion, four hundred seventy-six trillion, three hundred ninety-one billion, five hundred forty-four million, one hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38476391544116 × 1017
Factors of 138476391544116000
Divisors of 138476391544116000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 37 40 45 48 50 60 72 74 75 80 90 96 100 111 120 125 144 148 150 160 180 185 200 222 225 240 250 288 296 300 333 360 370 375 400 444 450 480 500 555 592 600 666 720 740 750 800 888 900 925 1000 1110 1125 1184 1200 1332 1440 1480 1500 1665 1776 1800 1850 2000 2220 2250 2400 2664 2775 2960 3000 3330 3552 3600 3700 4000 4440 4500 4625 5328 5550 5920 6000 6660 7200 7400 8325 8880 9000 9250 10656 11100 12000 13320 13875 14800 16650 17760 18000 18500 22200 26640 27750 29600 33300 36000 37000 41625 44400 53280 55500 66600 68473 74000 83250 88800 111000 133200 136946 148000 166500 205419 222000 266400 273892 333000 342365 410838 444000 547784 616257 666000 684730 821676 1027095 1095568 1232514 1332000 1369460 1518281 1643352 1711825 2054190 2191136 2465028 2533501 2738920 3036562 3081285 3286704 3423650 4108380 4554843 4930056 5067002 5135475 5477840 6073124 6162570 6573408 6847300 7591405 7600503 8216760 8559125 9109686 9860112 10134004 10270950 10955680 12146248 12325140 12667505 13664529 13694600 15182810 15201006 15406425 16433520 17118250 18219372 19720224 20268008 20541900 22774215 22801509 24292496 24650280 25335010 25677375 27329058 27389200 30365620 30402012 30812850 32867040 34236500 36438744 37957025 38002515 40536016 41083800 45548430 45603018 48584992 49300560 50670020 51354750 54658116 54778400 56176397 60731240 60804024 61625700 63337525 68322645 68473000 72877488 75914050 76005030 77032125 81072032 82167600 91096860 91206036 98601120 101340040 102709500 109316232 112352794 113871075 114007545 121462480 121608048 123251400 126675050 136645290 136946000 145754976 151828100 152010060 154064250 164335200 168529191 182193720 182412072 189785125 190012575 202680080 205419000 218632464 224705588 227742150 228015090 242924960 243216096 246502800 253350100 273290580 273892000 280881985 303656200 304020120 308128500 316687625 337058382 341613225 364387440 364824144 379570250 380025150 405360160 410838000 437264928 449411176 455484300 456030180 493005600 505587573 506700200 546581160 561763970 569355375 570037725 607312400 608040240 616257000 633375250 674116764 683226450 728774880 729648288 759140500 760050300 821676000 842645955 898822352 910968600 912060360 950062875 1011175146 1013400400 1093162320 1123527940 1138710750 1140075450 1214624800 1216080480 1232514000 1266750500 1348233528 1366452900 1404409925 1518281000 1520100600 1685291910 1708066125 1797644704 1821937200 1824120720 1900125750 2022350292 2026800800 2186324640 2247055880 2277421500 2280150900 2465028000 2527937865 2533501000 2696467056 2732905800 2808819850 2850188625 3036562000 3040201200 3370583820 3416132250 3643874400 3648241440 3800251500 4044700584 4213229775 4494111760 4554843000 4560301800 5055875730 5067002000 5392934112 5465811600 5617639700 5700377250 6073124000 6080402400 6741167640 6832264500 7022049625 7600503000 8089401168 8426459550 8988223520 9109686000 9120603600 10111751460 10134004000 10931623200 11235279400 11400754500 12639689325 13482335280 13664529000 14044099250 15201006000 16178802336 16852919100 18219372000 18241207200 20223502920 21066148875 22470558800 22801509000 25279378650 26964670560 27329058000 28088198500 30402012000 33705838200 40447005840 42132297750 44941117600 45603018000 50558757300 54658116000 56176397000 63198446625 67411676400 80894011680 84264595500 91206036000 101117514600 103961254913 112352794000 126396893250 134823352800 168529191000 202235029200 207922509826 224705588000 252793786500 311883764739 337058382000 404470058400 415845019652 505587573000 519806274565 623767529478 674116764000 831690039304 935651294217 1011175146000 1039612549130 1247535058956 1559418823695 1663380078608 1871302588434 2022350292000 2079225098260 2495070117912 2599031372825 3118837647390 3326760157216 3742605176868 3846566431781 4158450196520 4678256471085 4990140235824 5198062745650 6237675294780 7485210353736 7693132863562 7797094118475 8316900393040 9356512942170 9980280471648 10396125491300 11539699295343 12475350589560 12995156864125 14970420707472 15386265727124 15594188236950 16633800786080 18713025884340 19232832158905 20792250982600 23079398590686 23391282355425 24950701179120 25990313728250 29940841414944 30772531454248 31188376473900 34619097886029 37426051768680 38465664317810 38985470592375 41584501965200 46158797181372 46782564710850 49901402358240 51980627456500 57698496476715 61545062908496 62376752947800 69238195772058 74852103537360 76931328635620 77970941184750 83169003930400 92317594362744 93565129421700 96164160794525 103961254913000 115396992953430 116956411777125 123090125816992 124753505895600 138476391544116 149704207074720 153862657271240 155941882369500 173095489430145 184635188725488 187130258843400 192328321589050 207922509826000 230793985906860 233912823554250 249507011791200 276952783088232 288492482383575 307725314542480 311883764739000 346190978860290 369270377450976 374260517686800 384656643178100 415845019652000 461587971813720 467825647108500 480820803972625 553905566176464 576984964767150 615450629084960 623767529478000 692381957720580 748521035373600 769313286356200 865477447150725 923175943627440 935651294217000 961641607945250 1107811132352928 1153969929534300 1247535058956000 1384763915441160 1442462411917875 1538626572712400 1730954894301450 1846351887254880 1871302588434000 1923283215890500 2307939859068600 2769527830882320 2884924823835750 3077253145424800 3461909788602900 3742605176868000 3846566431781000 4327387235753625 4615879718137200 5539055661764640 5769849647671500 6923819577205800 7693132863562000 8654774471507250 9231759436274400 11539699295343000 13847639154411600 15386265727124000 17309548943014500 23079398590686000 27695278308823200 34619097886029000 46158797181372000 69238195772058000 138476391544116000
- Sum of all divisors σ(n): 504742923109073376
- Sum of proper divisors (its aliquot sum) s(n): 366266531564957376
- 138476391544116000 is an abundant number, because the sum of its proper divisors (366266531564957376) is greater than itself. Its abundance is 227790140020841376
Bases of 138476391544116000
- Binary: 1111010111111011110001011010111111100001111010011001000002
- Hexadecimal: 0x1EBF78B5FC3D320
- Base-36: 11VHS822W080
Squares and roots of 138476391544116000
- 138476391544116000 squared (1384763915441160002) is 19175711015079321226774221456000000
- 138476391544116000 cubed (1384763915441160003) is 2655383266660942156894286707689127577752896000000000
-
The
square root of 138476391544116000 is 372124161.4624290961 -
The
cube root of 138476391544116000 is 517358.8858632983
Scales and comparisons
How big is 138476391544116000?- 138,476,391,544,116,000 seconds is equal to 4,403,120,915 years, 26 weeks, 2 hours.
-
To count from 1 to 138,476,391,544,116,000 would take you about thirteen billion, two hundred nine million, three hundred sixty-two thousand, seven hundred forty-six 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 138476391544116000 cubic inches would be around 43113.2 feet tall.
Recreational maths with 138476391544116000
- 138476391544116000 backwards is 000611445193674831
- The number of decimal digits it has is: 18
- The sum of 138476391544116000's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138476391544116000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 138476391544116000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138476391544116000/
Chicago style:
Numbermatics. 2024. "Number 138476391544116000 - Facts about the integer". https://numbermatics.com/n/138476391544116000/
The information we have on file for 138476391544116000 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 138476391544116000, math, Factors of 138476391544116000, curriculum, school, college, exams, university, Prime factorization of 138476391544116000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred seventy-six trillion, three hundred ninety-one billion, five hundred forty-four million, one hundred sixteen thousand.