138377017204912816128
138,377,017,204,912,816,128 is an even composite number composed of three prime numbers multiplied together.
138377017204912816128 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of six hundred thirty divisors.
Prime factorization of 138377017204912816128:
217 × 36 × 10974
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 1097 × 1097 × 1097 × 1097)See below for interesting mathematical facts about the number 138377017204912816128 from the Numbermatics database.
Names of 138377017204912816128
- Cardinal: 138377017204912816128 can be written as One hundred thirty-eight quintillion, three hundred seventy-seven quadrillion, seventeen trillion, two hundred four billion, nine hundred twelve million, eight hundred sixteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38377017204912816128 × 1020
Factors of 138377017204912816128
Divisors of 138377017204912816128
- Number of divisors d(n): 630
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1097 1152 1296 1458 1536 1728 1944 2048 2194 2304 2592 2916 3072 3291 3456 3888 4096 4388 4608 5184 5832 6144 6582 6912 7776 8192 8776 9216 9873 10368 11664 12288 13164 13824 15552 16384 17552 18432 19746 20736 23328 24576 26328 27648 29619 31104 32768 35104 36864 39492 41472 46656 49152 52656 55296 59238 62208 65536 70208 73728 78984 82944 88857 93312 98304 105312 110592 118476 124416 131072 140416 147456 157968 165888 177714 186624 196608 210624 221184 236952 248832 266571 280832 294912 315936 331776 355428 373248 393216 421248 442368 473904 497664 533142 561664 589824 631872 663552 710856 746496 799713 842496 884736 947808 995328 1066284 1123328 1179648 1203409 1263744 1327104 1421712 1492992 1599426 1684992 1769472 1895616 1990656 2132568 2246656 2406818 2527488 2654208 2843424 2985984 3198852 3369984 3538944 3610227 3791232 3981312 4265136 4493312 4813636 5054976 5308416 5686848 5971968 6397704 6739968 7220454 7582464 7962624 8530272 8986624 9627272 10109952 10616832 10830681 11373696 11943936 12795408 13479936 14440908 15164928 15925248 17060544 17973248 19254544 20219904 21661362 22747392 23887872 25590816 26959872 28881816 30329856 31850496 32492043 34121088 35946496 38509088 40439808 43322724 45494784 47775744 51181632 53919744 57763632 60659712 64984086 68242176 71892992 77018176 80879616 86645448 90989568 95551488 97476129 102363264 107839488 115527264 121319424 129968172 136484352 143785984 154036352 161759232 173290896 181979136 194952258 204726528 215678976 231054528 242638848 259936344 272968704 292428387 308072704 323518464 346581792 363958272 389904516 409453056 431357952 462109056 485277696 519872688 545937408 584856774 616145408 647036928 693163584 727916544 779809032 818906112 877285161 924218112 970555392 1039745376 1091874816 1169713548 1232290816 1294073856 1320139673 1386327168 1455833088 1559618064 1637812224 1754570322 1848436224 1941110784 2079490752 2183749632 2339427096 2464581632 2640279346 2772654336 2911666176 3119236128 3275624448 3509140644 3696872448 3882221568 3960419019 4158981504 4367499264 4678854192 4929163264 5280558692 5545308672 5823332352 6238472256 6551248896 7018281288 7393744896 7920838038 8317963008 8734998528 9357708384 9858326528 10561117384 11090617344 11646664704 11881257057 12476944512 13102497792 14036562576 14787489792 15841676076 16635926016 17469997056 18715416768 19716653056 21122234768 22181234688 23762514114 24953889024 26204995584 28073125152 29574979584 31683352152 33271852032 34939994112 35643771171 37430833536 39433306112 42244469536 44362469376 47525028228 49907778048 52409991168 56146250304 59149959168 63366704304 66543704064 71287542342 74861667072 78866612224 84488939072 88724938752 95050056456 99815556096 104819982336 106931313513 112292500608 118299918336 126733408608 133087408128 142575084684 149723334144 157733224448 168977878144 177449877504 190100112912 199631112192 213862627026 224585001216 236599836672 253466817216 266174816256 285150169368 299446668288 320793940539 337955756288 354899755008 380200225824 399262224384 427725254052 449170002432 473199673344 506933634432 532349632512 570300338736 598893336576 641587881078 675911512576 709799510016 760400451648 798524448768 855450508104 898340004864 962381821617 1013867268864 1064699265024 1140600677472 1197786673152 1283175762156 1351823025152 1419599020032 1448193221281 1520800903296 1597048897536 1710901016208 1796680009728 1924763643234 2027734537728 2129398530048 2281201354944 2395573346304 2566351524312 2703646050304 2896386442562 3041601806592 3194097795072 3421802032416 3593360019456 3849527286468 4055469075456 4258797060096 4344579663843 4562402709888 4791146692608 5132703048624 5407292100608 5792772885124 6083203613184 6388195590144 6843604064832 7186720038912 7699054572936 8110938150912 8689159327686 9124805419776 9582293385216 10265406097248 10814584201216 11585545770248 12166407226368 12776391180288 13033738991529 13687208129664 14373440077824 15398109145872 16221876301824 17378318655372 18249610839552 19164586770432 20530812194496 21629168402432 23171091540496 24332814452736 26067477983058 27374416259328 28746880155648 30796218291744 32443752603648 34756637310744 36499221679104 38329173540864 39101216974587 41061624388992 43258336804864 46342183080992 48665628905472 52134955966116 54748832518656 57493760311296 61592436583488 64887505207296 69513274621488 72998443358208 78202433949174 82123248777984 86516673609728 92684366161984 97331257810944 104269911932232 109497665037312 114987520622592 117303650923761 123184873166976 129775010414592 139026549242976 145996886716416 156404867898348 164246497555968 173033347219456 185368732323968 194662515621888 208539823864464 218995330074624 234607301847522 246369746333952 259550020829184 278053098485952 291993773432832 312809735796696 328492995111936 351910952771283 370737464647936 389325031243776 417079647728928 437990660149248 469214603695044 492739492667904 519100041658368 556106196971904 583987546865664 625619471593392 656985990223872 703821905542566 741474929295872 778650062487552 834159295457856 875981320298496 938429207390088 985478985335808 1055732858313849 1112212393943808 1167975093731328 1251238943186784 1313971980447744 1407643811085132 1482949858591744 1557300124975104 1668318590915712 1751962640596992 1876858414780176 1970957970671616 2111465716627698 2224424787887616 2335950187462656 2502477886373568 2627943960895488 2815287622170264 2965899717183488 3336637181831424 3503925281193984 3753716829560352 3941915941343232 4222931433255396 4448849575775232 4671900374925312 5004955772747136 5255887921790976 5630575244340528 5931799434366976 6673274363662848 7007850562387968 7507433659120704 7883831882686464 8445862866510792 8897699151550464 10009911545494272 10511775843581952 11261150488681056 11863598868733952 13346548727325696 14015701124775936 15014867318241408 15767663765372928 16891725733021584 17795398303100928 20019823090988544 21023551687163904 22522300977362112 23727197737467904 26693097454651392 30029734636482816 31535327530745856 33783451466043168 35590796606201856 40039646181977088 42047103374327808 45044601954724224 47454395474935808 53386194909302784 60059469272965632 63070655061491712 67566902932086336 71181593212403712 80079292363954176 90089203909448448 94908790949871616 106772389818605568 120118938545931264 126141310122983424 135133805864172672 142363186424807424 160158584727908352 180178407818896896 189817581899743232 213544779637211136 240237877091862528 270267611728345344 284726372849614848 320317169455816704 360356815637793792 427089559274422272 480475754183725056 540535223456690688 569452745699229696 640634338911633408 720713631275587584 854179118548844544 960951508367450112 1081070446913381376 1281268677823266816 1441427262551175168 1708358237097689088 1921903016734900224 2162140893826762752 2562537355646533632 2882854525102350336 3843806033469800448 4324281787653525504 5125074711293067264 5765709050204700672 7687612066939600896 8648563575307051008 11531418100409401344 15375224133879201792 17297127150614102016 23062836200818802688 34594254301228204032 46125672401637605376 69188508602456408064 138377017204912816128
- Sum of all divisors σ(n): 415318245729871714839
- Sum of proper divisors (its aliquot sum) s(n): 276941228524958898711
- 138377017204912816128 is an abundant number, because the sum of its proper divisors (276941228524958898711) is greater than itself. Its abundance is 138564211320046082583
Bases of 138377017204912816128
- Binary: 11110000000010111011110101111111110101110001111001000000000000000002
- Hexadecimal: 0x7805DEBFEB8F20000
- Base-36: T7BNIQCL4W000
Squares and roots of 138377017204912816128
- 138377017204912816128 squared (1383770172049128161282) is 19148198890528737523713522565507536912384
- 138377017204912816128 cubed (1383770172049128161283) is 2649670647317787609744732808073803138166113024853515438129152
-
The
square root of 138377017204912816128 is 11763376097.2313053103 -
The
cube root of 138377017204912816128 is 5172350.9941855069
Scales and comparisons
How big is 138377017204912816128?- 138,377,017,204,912,816,128 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,377,017,204,912,816,128 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 138377017204912816128 cubic inches would be around 431029.2 feet tall.
Recreational maths with 138377017204912816128
- 138377017204912816128 backwards is 821618219402710773831
- 138377017204912816128 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138377017204912816128's digits is 81
- More coming soon!
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The information we have on file for 138377017204912816128 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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