138330947459520
138,330,947,459,520 is an even composite number composed of six prime numbers multiplied together.
138330947459520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 138330947459520:
26 × 32 × 5 × 19 × 1372 × 3672
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 137 × 137 × 367 × 367)See below for interesting mathematical facts about the number 138330947459520 from the Numbermatics database.
Names of 138330947459520
- Cardinal: 138330947459520 can be written as One hundred thirty-eight trillion, three hundred thirty billion, nine hundred forty-seven million, four hundred fifty-nine thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3833094745952 × 1014
Factors of 138330947459520
Divisors of 138330947459520
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 64 72 76 80 90 95 96 114 120 137 144 152 160 171 180 190 192 228 240 274 285 288 304 320 342 360 367 380 411 456 480 548 570 576 608 684 685 720 734 760 822 855 912 960 1096 1101 1140 1216 1233 1368 1370 1440 1468 1520 1644 1710 1824 1835 2055 2192 2202 2280 2466 2603 2736 2740 2880 2936 3040 3288 3303 3420 3648 3670 4110 4384 4404 4560 4932 5206 5472 5480 5505 5872 6080 6165 6576 6606 6840 6973 7340 7809 8220 8768 8808 9120 9864 10412 10944 10960 11010 11744 12330 13015 13152 13212 13680 13946 14680 15618 16440 16515 17616 18240 18769 19728 20824 20919 21920 22020 23427 23488 24660 26030 26304 26424 27360 27892 29360 31236 32880 33030 34865 35232 37538 39045 39456 41648 41838 43840 44040 46854 49320 50279 52060 52848 54720 55784 56307 58720 62472 62757 65760 66060 69730 70464 75076 78090 78912 83296 83676 88080 93708 93845 98640 100558 104120 104595 105696 111568 112614 117135 117440 124944 125514 131520 132120 134689 139460 150152 150837 156180 166592 167352 168921 176160 187416 187690 197280 201116 208240 209190 211392 223136 225228 234270 249888 251028 251395 264240 269378 278920 281535 300304 301674 312360 313785 334704 337842 352320 356611 374832 375380 394560 402232 404067 416480 418380 446272 450456 452511 468540 499776 502056 502790 528480 538756 557840 563070 600608 603348 624720 627570 669408 673445 675684 713222 749664 750760 754185 804464 808134 832960 836760 844605 900912 905022 937080 955301 1004112 1005580 1056960 1069833 1077512 1115680 1126140 1201216 1206696 1212201 1249440 1255140 1338816 1346890 1351368 1426444 1499328 1501520 1508370 1608928 1616268 1673520 1689210 1783055 1801824 1810044 1874160 1910602 2008224 2011160 2020335 2139666 2155024 2231360 2252280 2262555 2413392 2424402 2498880 2510280 2559091 2693780 2702736 2852888 2865903 3003040 3016740 3209499 3217856 3232536 3347040 3378420 3566110 3603648 3620088 3748320 3821204 4016448 4022320 4040670 4279332 4310048 4504560 4525110 4776505 4826784 4848804 5020560 5118182 5349165 5387560 5405472 5705776 5731806 6006080 6033480 6061005 6418998 6465072 6694080 6756840 6888223 7132220 7240176 7496640 7642408 7677273 8044640 8081340 8558664 8597709 8620096 9009120 9050220 9553010 9653568 9697608 10041120 10236364 10698330 10775120 10810944 11411552 11463612 12066960 12122010 12795455 12837996 12930144 13513680 13776446 14264440 14329515 14480352 15284816 15354546 16047495 16089280 16162680 17117328 17195418 18018240 18100440 18452393 19106020 19395216 20082240 20472728 20664669 21396660 21550240 22823104 22927224 23031819 24133920 24244020 25590910 25675992 25860288 27027360 27552892 28528880 28659030 28960704 30569632 30709092 32094990 32325360 34234656 34390836 34441115 36200880 36904786 38212040 38386365 38790432 40945456 41329338 42793320 42988545 43100480 45854448 46063638 48267840 48488040 51181820 51351984 54054720 55105784 55357179 57057760 57318060 61139264 61418184 61994007 64189980 64650720 68469312 68781672 68882230 72401760 73809572 76424080 76772730 77580864 81890912 82658676 85586640 85977090 91708896 92127276 92261965 96976080 102363640 102703968 103323345 110211568 110714358 114115520 114636120 115159095 122836368 123988014 128379960 129301440 130876237 137563344 137764460 144803520 147619144 152848160 153545460 163781824 165317352 166071537 171173280 171954180 183417792 184254552 184523930 193952160 204727280 205407936 206646690 220423136 221428716 229272240 230318190 245672736 247976028 256759920 261752474 275126688 275528920 276785895 295238288 305696320 307090920 309970035 330634704 332143074 342346560 343908360 350595467 368509104 369047860 387904320 392628711 409454560 413293380 440846272 442857432 458544480 460636380 491345472 495952056 513519840 523504948 550253376 551057840 553571790 590476576 614181840 619940070 654381185 661269408 664286148 687816720 701190934 737018208 738095720 785257422 818909120 826586760 830357685 885714864 917088960 921272760 991904112 1027039680 1047009896 1051786401 1102115680 1107143580 1177886133 1180953152 1228363680 1239880140 1308762370 1322538816 1328572296 1375633440 1402381868 1474036416 1476191440 1570514844 1653173520 1660715370 1752977335 1771429728 1842545520 1963143555 1983808224 2094019792 2103572802 2204231360 2214287160 2355772266 2456727360 2479760280 2527977841 2617524740 2657144592 2751266880 2804763736 2952382880 3141029688 3155359203 3306347040 3321430740 3505954670 3542859456 3685091040 3926287110 3967616448 4188039584 4207145604 4428574320 4711544532 4959520560 5055955682 5235049480 5258932005 5314289184 5609527472 5889430665 5904765760 6282059376 6310718406 6612694080 6642861480 7011909340 7370182080 7583933523 7852574220 8376079168 8414291208 8857148640 9423089064 9919041120 10111911364 10470098960 10517864010 10628578368 11219054944 11778861330 12564118752 12621436812 12639889205 13285722960 14023818680 15167867046 15705148440 15776796015 16828582416 17714297280 18846178128 19838082240 20223822728 20940197920 21035728020 22438109888 22751800569 23557722660 25128237504 25242873624 25279778410 26571445920 28047637360 30335734092 31410296880 31553592030 33657164832 37692356256 37919667615 40447645456 41880395840 42071456040 45503601138 47115445320 48031578979 50485747248 50559556820 53142891840 56095274720 60671468184 62820593760 63107184060 67314329664 75384712512 75839335230 80895290912 84142912080 91007202276 94230890640 96063157958 100971494496 101119113640 112190549440 113759002845 121342936368 125641187520 126214368120 144094736937 151678670460 161790581824 168285824160 182014404552 188461781280 192126315916 201942988992 202238227280 227518005690 240157894895 242685872736 252428736240 288189473874 303357340920 336571648320 364028809104 376923562560 384252631832 404476454560 432284210811 455036011380 480315789790 485371745472 504857472480 576378947748 606714681840 720473684685 728057618208 768505263664 808952909120 864568421622 910072022760 960631579580 1009714944960 1152757895496 1213429363680 1440947369370 1456115236416 1537010527328 1729136843244 1820144045520 1921263159160 2161421054055 2305515790992 2426858727360 2881894738740 3074021054656 3458273686488 3640288091040 3842526318320 4322842108110 4611031581984 5763789477480 6916547372976 7280576182080 7685052636640 8645684216220 9222063163968 11527578954960 13833094745952 15370105273280 17291368432440 23055157909920 27666189491904 34582736864880 46110315819840 69165473729760 138330947459520
- Sum of all divisors σ(n): 505903917125880
- Sum of proper divisors (its aliquot sum) s(n): 367572969666360
- 138330947459520 is an abundant number, because the sum of its proper divisors (367572969666360) is greater than itself. Its abundance is 229242022206840
Bases of 138330947459520
- Binary: 111110111001111101011101111110000011001110000002
- Hexadecimal: 0x7DCFAEFC19C0
- Base-36: 1D18CYINK0
Squares and roots of 138330947459520
- 138330947459520 squared (1383309474595202) is 19135451025048482742038630400
- 138330947459520 cubed (1383309474595203) is 2647025070360199793649639243436580241408000
-
The
square root of 138330947459520 is 11761417.7487035975 -
The
cube root of 138330947459520 is 51717.7692163229
Scales and comparisons
How big is 138330947459520?- 138,330,947,459,520 seconds is equal to 4,398,496 years, 12 weeks, 4 days, 15 hours, 12 minutes.
-
To count from 1 to 138,330,947,459,520 would take you about ten million, nine hundred ninety-six thousand, two hundred forty 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 138330947459520 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138330947459520
- 138330947459520 backwards is 025954749033831
- The number of decimal digits it has is: 15
- The sum of 138330947459520's digits is 63
- More coming soon!
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The information we have on file for 138330947459520 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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