138064338547200
138,064,338,547,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138064338547200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 810 divisors.
138064338547200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 138064338547200:
29 × 32 × 52 × 132 × 26632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 2663 × 2663)See below for interesting mathematical facts about the number 138064338547200 from the Numbermatics database.
Names of 138064338547200
- Cardinal: 138064338547200 can be written as One hundred thirty-eight trillion, sixty-four billion, three hundred thirty-eight million, five hundred forty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.380643385472 × 1014
Factors of 138064338547200
Divisors of 138064338547200
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 256 260 288 300 312 320 325 338 360 384 390 400 416 450 468 480 507 512 520 576 585 600 624 640 650 676 720 768 780 800 832 845 900 936 960 975 1014 1040 1152 1170 1200 1248 1280 1300 1352 1440 1521 1536 1560 1600 1664 1690 1800 1872 1920 1950 2028 2080 2304 2340 2400 2496 2535 2560 2600 2663 2704 2880 2925 3042 3120 3200 3328 3380 3600 3744 3840 3900 4056 4160 4225 4608 4680 4800 4992 5070 5200 5326 5408 5760 5850 6084 6240 6400 6656 6760 7200 7488 7605 7680 7800 7989 8112 8320 8450 9360 9600 9984 10140 10400 10652 10816 11520 11700 12168 12480 12675 12800 13315 13520 14400 14976 15210 15600 15978 16224 16640 16900 18720 19200 19968 20280 20800 21304 21632 23040 23400 23967 24336 24960 25350 26630 27040 28800 29952 30420 31200 31956 32448 33280 33800 34619 37440 38025 38400 39945 40560 41600 42608 43264 46800 47934 48672 49920 50700 53260 54080 57600 59904 60840 62400 63912 64896 66575 67600 69238 74880 76050 79890 81120 83200 85216 86528 93600 95868 97344 99840 101400 103857 106520 108160 115200 119835 121680 124800 127824 129792 133150 135200 138476 149760 152100 159780 162240 166400 170432 173095 187200 191736 194688 199725 202800 207714 213040 216320 239670 243360 249600 255648 259584 266300 270400 276952 299520 304200 311571 319560 324480 340864 346190 374400 383472 389376 399450 405600 415428 426080 432640 450047 479340 486720 499200 511296 519285 532600 540800 553904 599175 608400 623142 639120 648960 681728 692380 748800 766944 778752 798900 811200 830856 852160 865475 900094 958680 973440 1022592 1038570 1065200 1081600 1107808 1198350 1216800 1246284 1278240 1297920 1350141 1363456 1384760 1497600 1533888 1557855 1597800 1622400 1661712 1704320 1730950 1800188 1917360 1946880 2045184 2077140 2130400 2163200 2215616 2250235 2396700 2433600 2492568 2556480 2596425 2700282 2769520 3067776 3115710 3195600 3244800 3323424 3408640 3461900 3600376 3834720 3893760 4050423 4090368 4154280 4260800 4431232 4500470 4793400 4867200 4985136 5112960 5192850 5400564 5539040 6135552 6231420 6391200 6489600 6646848 6750705 6817280 6923800 7091569 7200752 7669440 7789275 8100846 8308560 8521600 8862464 9000940 9586800 9734400 9970272 10225920 10385700 10801128 11078080 11251175 12271104 12462840 12782400 13293696 13501410 13847600 14183138 14401504 15338880 15578550 16201692 16617120 17043200 17724928 18001880 19173600 19468800 19940544 20252115 20451840 20771400 21274707 21602256 22156160 22502350 24925680 25564800 26587392 27002820 27695200 28366276 28803008 30677760 31157100 32403384 33234240 33753525 34086400 35457845 36003760 38347200 39881088 40504230 41542800 42549414 43204512 44312320 45004700 49851360 51129600 53174784 54005640 55390400 56732552 57606016 61355520 62314200 63824121 64806768 66468480 67507050 70915690 72007520 76694400 79762176 81008460 83085600 85098828 86409024 88624640 90009400 92190397 99702720 101260575 102259200 106373535 108011280 110780800 113465104 115212032 124628400 127648242 129613536 132936960 135014100 141831380 144015040 153388800 159524352 162016920 166171200 170197656 172818048 177289225 180018800 184380794 199405440 202521150 212747070 216022560 221561600 226930208 230424064 249256800 255296484 259227072 265873920 270028200 276571191 283662760 288030080 306777600 319120605 324033840 332342400 340395312 345636096 354578450 360037600 368761588 398810880 405042300 425494140 432045120 443123200 453860416 460951985 498513600 510592968 518454144 531867675 540056400 553142382 567325520 576060160 638241210 648067680 664684800 680790624 691272192 709156900 720075200 737523176 797621760 810084600 829713573 850988280 864090240 907720832 921903970 997027200 1021185936 1036908288 1063735350 1080112800 1106284764 1134651040 1152120320 1198475161 1276482420 1296135360 1329369600 1361581248 1382855955 1418313800 1440150400 1475046352 1595603025 1620169200 1659427146 1701976560 1728180480 1815441664 1843807940 1994054400 2042371872 2073816576 2127470700 2160225600 2212569528 2269302080 2304759925 2396950322 2552964840 2592270720 2723162496 2765711910 2836627600 2880300800 2950092704 3191206050 3240338400 3318854292 3403953120 3456360960 3595425483 3630883328 3687615880 3988108800 4084743744 4148567865 4254941400 4320451200 4425139056 4538604160 4609519850 4793900644 5105929680 5184541440 5446324992 5531423820 5673255200 5760601600 5900185408 5992375805 6382412100 6480676800 6637708584 6807906240 6914279775 7190850966 7375231760 8169487488 8297135730 8509882800 8640902400 8850278112 9077208320 9219039700 9587801288 10211859360 10369082880 10786276449 10892649984 11062847640 11346510400 11800370816 11984751610 12764824200 12961353600 13275417168 13615812480 13828559550 14381701932 14750463520 16338974976 16594271460 17019765600 17281804800 17700556224 17977127415 18154416640 18438079400 19175602576 20423718720 20742839325 21572552898 22125695280 22693020800 23600741632 23969503220 25529648400 25922707200 26550834336 27231624960 27657119100 28763403864 29500927040 29961879025 32677949952 33188542920 34039531200 35401112448 35954254830 36876158800 38351205152 40847437440 41485678650 43145105796 44251390560 45386041600 47201483264 47939006440 51059296800 51845414400 53101668672 53931382245 54463249920 55314238200 57526807728 59001854080 59923758050 66377085840 68079062400 70802224896 71908509660 73752317600 76702410304 81694874880 82971357300 86290211592 88502781120 89885637075 90772083200 95878012880 102118593600 106203337344 107862764490 110628476400 115053615456 118003708160 119847516100 132754171680 136158124800 141604449792 143817019320 147504635200 153404820608 163389749760 165942714600 172580423184 177005562240 179771274150 191756025760 204237187200 212406674688 215725528980 221256952800 230107230912 236007416320 239695032200 265508343360 269656911225 272316249600 287634038640 295009270400 306809641216 331885429200 345160846368 354011124480 359542548300 383512051520 408474374400 424813349376 431451057960 442513905600 460214461824 479390064400 531016686720 539313822450 575268077280 590018540800 613619282432 663770858400 690321692736 708022248960 719085096600 767024103040 816948748800 862902115920 885027811200 920428923648 958780128800 1062033373440 1078627644900 1150536154560 1180037081600 1327541716800 1380643385472 1438170193200 1534048206080 1725804231840 1770055622400 1840857847296 1917560257600 2124066746880 2157255289800 2301072309120 2655083433600 2761286770944 2876340386400 3068096412160 3451608463680 3540111244800 3835120515200 4314510579600 4602144618240 5310166867200 5522573541888 5752680772800 6903216927360 7670241030400 8629021159200 9204289236480 10620333734400 11505361545600 13806433854720 15340482060800 17258042318400 23010723091200 27612867709440 34516084636800 46021446182400 69032169273600 138064338547200
- Sum of all divisors σ(n): 535226019075891
- Sum of proper divisors (its aliquot sum) s(n): 397161680528691
- 138064338547200 is an abundant number, because the sum of its proper divisors (397161680528691) is greater than itself. Its abundance is 259097341981491
Bases of 138064338547200
- Binary: 111110110010001100110111101101011110010000000002
- Hexadecimal: 0x7D919BDAF200
- Base-36: 1CXTVQGE80
Squares and roots of 138064338547200
- 138064338547200 squared (1380643385472002) is 19061761578475855806627840000
- 138064338547200 cubed (1380643385472003) is 2631749503876700016667517039356674048000000
-
The
square root of 138064338547200 is 11750078.2357906025 -
The
cube root of 138064338547200 is 51684.5221707161
Scales and comparisons
How big is 138064338547200?- 138,064,338,547,200 seconds is equal to 4,390,018 years, 47 weeks, 8 hours.
-
To count from 1 to 138,064,338,547,200 would take you about ten million, nine hundred seventy-five thousand and forty-seven 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 138064338547200 cubic inches would be around 4307 feet tall.
Recreational maths with 138064338547200
- 138064338547200 backwards is 002745833460831
- The number of decimal digits it has is: 15
- The sum of 138064338547200's digits is 54
- More coming soon!
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The information we have on file for 138064338547200 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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