138122034376350716758000
138,122,034,376,350,716,758,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138122034376350716758000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
138122034376350716758000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138122034376350716758000:
24 × 53 × 115 × 733 × 10333
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 73 × 73 × 73 × 1033 × 1033 × 1033)See below for interesting mathematical facts about the number 138122034376350716758000 from the Numbermatics database.
Names of 138122034376350716758000
- Cardinal: 138122034376350716758000 can be written as One hundred thirty-eight sextillion, one hundred twenty-two quintillion, thirty-four quadrillion, three hundred seventy-six trillion, three hundred fifty billion, seven hundred sixteen million, seven hundred fifty-eight thousand.
Scientific notation
- Scientific notation: 1.38122034376350716758 × 1023
Factors of 138122034376350716758000
Divisors of 138122034376350716758000
- Number of divisors d(n): 1920
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 73 80 88 100 110 121 125 146 176 200 220 242 250 275 292 365 400 440 484 500 550 584 605 730 803 880 968 1000 1033 1100 1168 1210 1331 1375 1460 1606 1825 1936 2000 2066 2200 2420 2662 2750 2920 3025 3212 3650 4015 4132 4400 4840 5165 5324 5329 5500 5840 6050 6424 6655 7300 8030 8264 8833 9125 9680 10330 10648 10658 11000 11363 12100 12848 13310 14600 14641 15125 16060 16528 17666 18250 20075 20660 21296 21316 22000 22726 24200 25825 26620 26645 29200 29282 30250 32120 33275 35332 36500 40150 41320 42632 44165 45452 48400 51650 53240 53290 56815 58564 58619 60500 64240 66550 70664 73000 73205 75409 80300 82640 85264 88330 90904 97163 100375 103300 106480 106580 113630 117128 117238 121000 124993 129125 133100 133225 141328 146000 146410 150818 160600 161051 166375 176660 181808 194326 200750 206600 213160 220825 227260 234256 234476 242000 249986 258250 266200 266450 284075 292820 293095 301636 321200 322102 332750 353320 366025 377045 388652 389017 401500 413200 426320 441650 454520 468952 485815 499972 516500 532400 532900 568150 585640 586190 603272 624965 644204 644809 665500 666125 706640 732050 754090 777304 778034 803000 805255 829499 883300 909040 937904 971630 999944 1033000 1065800 1067089 1068793 1104125 1136300 1171280 1172380 1206544 1249930 1288408 1289618 1331000 1332250 1374923 1420375 1464100 1465475 1508180 1554608 1556068 1606000 1610510 1658998 1766600 1830125 1885225 1943260 1945085 1999888 2066000 2131600 2134178 2137586 2208250 2272600 2344760 2429075 2499860 2576816 2579236 2662000 2664500 2749846 2840750 2928200 2930950 3016360 3112136 3124825 3221020 3224045 3317996 3533200 3660250 3770450 3886520 3890170 4026275 4147495 4268356 4275172 4279187 4416500 4545200 4689520 4858150 4999720 5158472 5329000 5335445 5343965 5499692 5504857 5681500 5856400 5861900 6032720 6224272 6249650 6442040 6448090 6635992 6874615 7092899 7320500 7327375 7540900 7773040 7780340 8052550 8294990 8536712 8550344 8558374 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50229007143073000 51837881169581804 51886564378794409 53551530133865500 53601822705366125 55251907857380300 56861988360322640 58906683147252050 60777098643118330 62548187196354904 64615895864003000 64719078903611000 64797351461977255 66854808507430163 69064884821725375 71010796122714800 71077485450403300 73265543569786480 75471366369155504 78185233995443630 83256299511121000 85762916328585800 86003757394987993 88763495153393500 88846856813004125 91581929462233100 94250693035603280 94339207961444380 97243357828989328 100458014286146000 103675762339163608 103773128757588818 107103060267731000 107203645410732250 110503815714760600 114477411827791375 117813366294504100 117924009951805475 121554197286236660 125096374392709808 129231791728006000 129438157807222000 129594702923954510 133709617014860326 138129769643450750 142154970900806600 147266707868130125 151942746607795825 156370467990887260 166512599022242000 171525832657171600 172007514789975986 177526990306787000 177693713626008250 183163858924466200 188678415922888760 195463084988609075 207351524678327216 207546257515177636 214206120535462000 214407290821464500 221007631429521200 228954823655582750 235626732589008200 235848019903610950 243108394572473320 259189405847909020 259432821893972045 267419234029720652 276259539286901500 284309941801613200 294533415736260250 303885493215591650 312740935981774520 323986757309886275 334274042537150815 344015029579951972 355053980613574000 355387427252016500 366327717848932400 377356831845777520 390926169977218150 415092515030355272 428814581642929000 430018786974939965 457909647311165500 471253465178016400 471696039807221900 486216789144946640 518378811695818040 518865643787944090 534838468059441304 552519078573803000 570752208166738499 589066831472520500 589620049759027375 607770986431183300 625481871963549040 647973514619772550 668548085074301630 688030059159903944 710774854504033000 759713733038979125 781852339954436300 830185030060710544 857629163285858000 860037573949879930 915819294622331000 943392079614443800 946041331344867923 977315424943045375 1036757623391636080 1037731287575888180 1069676936118882608 1105038157147606000 1141504416333476998 1178133662945041000 1179240099518054750 1215541972862366600 1295947029239545100 1297164109469860225 1337096170148603260 1376060118319807888 1421549709008066000 1519427466077958250 1563704679908872600 1619933786549431375 1671370212685754075 1720075147899759860 1831638589244662000 1886784159228887600 1892082662689735846 1954630849886090750 2075462575151776360 2150093934874699825 2283008832666953996 2356267325890082000 2358480199036109500 2431083945724733200 2591894058479090200 2594328218939720450 2674192340297206520 2853761040833692495 3038854932155916500 3127409359817745200 3239867573098862750 3342740425371508150 3440150295799519720 3784165325379471692 3909261699772181500 4150925150303552720 4300187869749399650 4566017665333907992 4716960398072219000 4730206656724339615 5183788116958180400 5188656437879440900 5348384680594413040 5707522081667384990 6077709864311833000 6278274289834123489 6479735146197725500 6485820547349301125 6685480850743016300 6880300591599039440 7568330650758943384 7818523399544363000 8356851063428770375 8600375739498799300 9132035330667815984 9433920796144438000 9460413313448679230 10377312875758881800 10750469674373499125 11415044163334769980 12155419728623666000 12556548579668246978 12959470292395451000 12971641094698602250 13370961701486032600 14268805204168462475 15136661301517886768 15637046799088726000 16713702126857540750 17200751478997598600 18920826626897358460 20754625751517763600 21500939348746998250 22830088326669539960 23651033283621698075 25113097159336493956 25918940584790902000 25943282189397204500 26741923402972065200 28537610408336924950 31391371449170617445 33427404253715081500 34401502957995197200 37841653253794716920 43001878697493996500 45660176653339079920 47302066567243396150 50226194318672987912 51886564378794409000 57075220816673849900 62782742898341234890 66854808507430163000 69061017188175358379 71344026020842312375 75683306507589433840 86003757394987993000 94604133134486792300 100452388637345975824 103773128757588818000 114150441633347699800 118255166418108490375 125565485796682469780 133709617014860326000 138122034376350716758 142688052041684624750 156956857245853087225 172007514789975986000 189208266268973584600 228300883266695399600 236510332836216980750 251130971593364939560 276244068752701433516 285376104083369249500 313913714491706174450 345305085940876791895 378416532537947169200 473020665672433961500 502261943186729879120 552488137505402867032 570752208166738499000 627827428983412348900 690610171881753583790 784784286229265436125 946041331344867923000 1104976275010805734064 1141504416333476998000 1255654857966824697800 1381220343763507167580 1569568572458530872250 1726525429704383959475 1892082662689735846000 2511309715933649395600 2762440687527014335160 3139137144917061744500 3453050859408767918950 5524881375054028670320 6278274289834123489000 6906101718817535837900 8632627148521919797375 12556548579668246978000 13812203437635071675800 17265254297043839594750 27624406875270143351600 34530508594087679189500 69061017188175358379000 138122034376350716758000
- Sum of all divisors σ(n): 372840151294432665043200
- Sum of proper divisors (its aliquot sum) s(n): 234718116918081948285200
- 138122034376350716758000 is an abundant number, because the sum of its proper divisors (234718116918081948285200) is greater than itself. Its abundance is 96596082541731231527200
Bases of 138122034376350716758000
- Binary: 111010011111110011100010010001101111101100011101001010000110110000111111100002
- Hexadecimal: 0x1D3F9C48DF63A50D87F0
- Base-36: MHPMGPAUFCA2Z1S
Squares and roots of 138122034376350716758000
- 138122034376350716758000 squared (1381220343763507167580002) is 19077696380261809133585553548260342030564000000
- 138122034376350716758000 cubed (1381220343763507167580003) is 2635050235256103236853648360220349651199159714364994542991512000000000
-
The
square root of 138122034376350716758000 is 371647728872.8544305753 -
The
cube root of 138122034376350716758000 is 51691720.6650502499
Scales and comparisons
How big is 138122034376350716758000?- 138,122,034,376,350,716,758,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,122,034,376,350,716,758,000 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 138122034376350716758000 cubic inches would be around 4307643.4 feet tall.
Recreational maths with 138122034376350716758000
- 138122034376350716758000 backwards is 000857617053673430221831
- The number of decimal digits it has is: 24
- The sum of 138122034376350716758000's digits is 82
- More coming soon!
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"Number 138122034376350716758000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138122034376350716758000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138122034376350716758000/
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Numbermatics. 2024. "Number 138122034376350716758000 - Facts about the integer". https://numbermatics.com/n/138122034376350716758000/
The information we have on file for 138122034376350716758000 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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