13005128404142532000
13,005,128,404,142,532,000 is an even composite number composed of six prime numbers multiplied together.
13005128404142532000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13005128404142532000:
25 × 32 × 53 × 7 × 313 × 12013
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 31 × 31 × 31 × 1201 × 1201 × 1201)See below for interesting mathematical facts about the number 13005128404142532000 from the Numbermatics database.
Names of 13005128404142532000
- Cardinal: 13005128404142532000 can be written as Thirteen quintillion, five quadrillion, one hundred twenty-eight trillion, four hundred four billion, one hundred forty-two million, five hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.3005128404142532 × 1019
Factors of 13005128404142532000
Divisors of 13005128404142532000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 32 35 36 40 42 45 48 50 56 60 62 63 70 72 75 80 84 90 93 96 100 105 112 120 124 125 126 140 144 150 155 160 168 175 180 186 200 210 217 224 225 240 248 250 252 279 280 288 300 310 315 336 350 360 372 375 400 420 434 450 465 480 496 500 504 525 558 560 600 620 630 651 672 700 720 744 750 775 800 840 868 875 900 930 961 992 1000 1008 1050 1085 1116 1120 1125 1200 1201 1240 1260 1302 1395 1400 1440 1488 1500 1550 1575 1680 1736 1750 1800 1860 1922 1953 2000 2016 2100 2170 2232 2250 2325 2400 2402 2480 2520 2604 2625 2790 2800 2883 2976 3000 3100 3150 3255 3360 3472 3500 3600 3603 3720 3844 3875 3906 4000 4200 4340 4464 4500 4650 4804 4805 4960 5040 5208 5250 5425 5580 5600 5766 6000 6005 6200 6300 6510 6727 6944 6975 7000 7200 7206 7440 7688 7750 7812 7875 8400 8407 8649 8680 8928 9000 9300 9608 9610 9765 10080 10416 10500 10809 10850 11160 11532 11625 12000 12010 12400 12600 13020 13454 13950 14000 14412 14415 14880 15376 15500 15624 15750 16275 16800 16814 17298 17360 18000 18015 18600 19216 19220 19530 20181 20832 21000 21618 21700 22320 23064 23250 24020 24025 24800 25200 25221 26040 26908 27125 27900 28000 28824 28830 29791 30025 30752 31000 31248 31500 32550 33628 33635 34596 34720 34875 36000 36030 37200 37231 38432 38440 39060 40362 42000 42035 43236 43245 43400 44640 46128 46500 48040 48050 48825 50400 50442 52080 53816 54045 54250 55800 57648 57660 59582 60050 60543 62000 62496 63000 65100 67256 67270 69192 69750 72060 72075 74400 74462 75663 76880 78120 80724 81375 84000 84070 86472 86490 86800 89373 90075 92256 93000 96080 96100 97650 100884 100905 104160 107632 108090 108500 111600 111693 115296 115320 119164 120100 120125 121086 124000 126000 126105 130200 134512 134540 138384 139500 144120 144150 148924 148955 150125 151326 153760 156240 161448 162750 168140 168175 172944 172980 173600 178746 180150 186000 186155 192160 192200 195300 201768 201810 208537 210175 215264 216180 216225 217000 223200 223386 230640 238328 240200 240250 242172 244125 252000 252210 260400 260617 268119 269024 269080 270225 276768 279000 288240 288300 297848 297910 300250 302652 302715 312480 322896 325500 335079 336280 336350 345888 345960 357492 360300 360375 372000 372310 378315 384400 390600 403536 403620 417074 420350 432360 432450 434000 446772 446865 450375 461280 476656 480400 480500 484344 488250 504420 504525 520800 521234 536238 538160 540450 558000 558465 576480 576600 595696 595820 600500 605304 605430 625611 630525 645792 651000 670158 672560 672700 691920 714984 720600 720750 744620 744775 756630 768800 781200 781851 807072 807240 834148 840700 840875 864720 864900 868000 893544 893730 900750 930775 953312 960800 961000 968688 976500 1008840 1009050 1042468 1042685 1050875 1072476 1076320 1080900 1081125 1116000 1116930 1153200 1154161 1191392 1191640 1201000 1210608 1210860 1251222 1261050 1302000 1303085 1340316 1340595 1345120 1345400 1351125 1383840 1429968 1441200 1441500 1442401 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150396988668500 154694045487600 154822957192173 159817246133856 161106094893000 166476298056100 169161399637650 171882272764000 174654567486000 174800112958905 180438826280160 180476386402200 186453453822832 187957110708500 193327313871600 193367556859500 199771557667320 206430609589564 208095372570125 209760135550686 214808126524000 216571663682640 218272773726000 225548532850200 225595483002750 233066817278540 239725869200784 240635181869600 241659142339500 249714447084150 257823409146000 258038261986955 266362076889760 270658239420240 270714579603300 279680180734248 281935666062750 291333521598175 299657336500980 300731377133600 300793977337000 309388090975200 309645914384346 322212189786000 332952596112200 338322799275300 338393224504125 349309134972000 349600225917810 360952772804400 361253566781737 372906907645664 374571670626225 375914221417000 386654627743200 386735113719000 399543115334640 412861219179128 416190745140250 419520271101372 422903499094125 433143327365280 436545547452000 451097065700400 451190966005500 464468871576519 466133634557080 479451738401568 483318284679000 499428894168300 515646818292000 516076523973910 524400338876715 541316478840480 541429159206600 559360361468496 563871332125500 582667043196350 599314673001960 601587954674000 619291828768692 624286117710375 644424379572000 665905192224400 676645598550600 676786449008250 699200451835620 721905545608800 722507133563474 749143341252450 751828442834000 773470227438000 774114785960865 799086230669280 825722438358256 832381490280500 839040542202744 845806998188250 874000564794525 902194131400800 902381932011000 928937743153038 932267269114160 966636569358000 998857788336600 1032153047947820 1048800677753430 1082858318413200 1083760700345211 1118720722936992 1127742664251000 1165334086392700 1198629346003920 1203175909348000 1238583657537384 1248572235420750 1290191309934775 1331810384448800 1353291197101200 1353572898016500 1398400903671240 1445014267126948 1456667607990875 1498286682504900 1503656885668000 1546940454876000 1548229571921730 1651444876716512 1664762980561000 1678081084405488 1691613996376500 1748001129589050 1804763864022000 1806267833908685 1857875486306076 1864534538228320 1872858353131125 1933273138716000 1997715576673200 2064306095895640 2097601355506860 2165716636826400 2167521400690422 2255485328502000 2322344357882595 2330668172785400 2397258692007840 2477167315074768 2497144470841500 2580382619869550 2622001694383575 2706582394202400 2707145796033000 2796801807342480 2890028534253896 2913335215981750 2996573365009800 3096459143843460 3251282101035633 3329525961122000 3356162168810976 3383227992753000 3496002259178100 3609527728044000 3612535667817370 3715750972612152 3745716706262250 3870573929804325 3995431153346400 4128612191791280 4195202711013720 4335042801380844 4370002823972625 4510970657004000 4644688715765190 4661336345570800 4954334630149536 4994288941683000 5160765239739100 5244003388767150 5414291592066000 5418803501726055 5593603614684960 5780057068507792 5826670431963500 5993146730019600 6192918287686920 6450956549673875 6502564202071266 6659051922244000 6766455985506000 6992004518356200 7225071335634740 7431501945224304 7491433412524500 7741147859608650 8257224383582560 8390405422027440 8670085602761688 8740005647945250 9031339169543425 9289377431530380 9322672691141600 9988577883366000 10321530479478200 10488006777534300 10828583184132000 10837607003452110 11560114137015584 11611721789412975 11653340863927000 11986293460039200 12385836575373840 12901913099347750 13005128404142532 13110008471917875 13532911971012000 13984009036712400 14450142671269480 14863003890448608 14982866825049000 15482295719217300 16256410505178165 16780810844054880 17340171205523376 17480011295890500 18062678339086850 18578754863060760 19352869649021625 19977155766732000 20643060958956400 20976013555068600 21675214006904220 23223443578825950 23306681727854000 24771673150747680 25803826198695500 26010256808285064 26220016943835750 27094017508630275 27968018073424800 28900285342538960 29965733650098000 30964591438434600 32512821010356330 34680342411046752 34960022591781000 36125356678173700 37157509726121520 38705739298043250 41286121917912800 41952027110137200 43350428013808440 45156695847717125 46446887157651900 46613363455708000 51607652397391000 52020513616570128 52440033887671500 54188035017260550 57800570685077920 58058608947064875 59931467300196000 61929182876869200 65025642020712660 69920045183562000 72250713356347400 74315019452243040 77411478596086500 81282052525890825 83904054220274400 86700856027616880 90313391695434250 92893774315303800 103215304794782000 104041027233140256 104880067775343000 108376070034521100 116117217894129750 123858365753738400 130051284041425320 135470087543151375 139840090367124000 144501426712694800 154822957192173000 162564105051781650 173401712055233760 180626783390868500 185787548630607600 206430609589564000 209760135550686000 216752140069042200 232234435788259500 260102568082850640 270940175086302750 289002853425389600 309645914384346000 325128210103563300 361253566781737000 371575097261215200 406410262629454125 419520271101372000 433504280138084400 464468871576519000 520205136165701280 541880350172605500 619291828768692000 650256420207126600 722507133563474000 812820525258908250 867008560276168800 928937743153038000 1083760700345211000 1300512840414253200 1445014267126948000 1625641050517816500 1857875486306076000 2167521400690422000 2601025680828506400 3251282101035633000 4335042801380844000 6502564202071266000 13005128404142532000
- Sum of all divisors σ(n): 54552457675746680832
- Sum of proper divisors (its aliquot sum) s(n): 41547329271604148832
- 13005128404142532000 is an abundant number, because the sum of its proper divisors (41547329271604148832) is greater than itself. Its abundance is 28542200867461616832
Bases of 13005128404142532000
- Binary: 10110100011110110111111101100001001000110100001000100101101000002
- Hexadecimal: 0xB47B7F61234225A0
- Base-36: 2QT1P9IB5NAG0
Squares and roots of 13005128404142532000
- 13005128404142532000 squared (130051284041425320002) is 169133364808234881139378171371024000000
- 13005128404142532000 cubed (130051284041425320003) is 2199601126755776382562138273473441694487550792768000000000
-
The
square root of 13005128404142532000 is 3606262387.0348829623 -
The
cube root of 13005128404142532000 is 2351643.8418034465
Scales and comparisons
How big is 13005128404142532000?- 13,005,128,404,142,532,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,005,128,404,142,532,000 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 13005128404142532000 cubic inches would be around 195970.3 feet tall.
Recreational maths with 13005128404142532000
- 13005128404142532000 backwards is 00023524140482150031
- 13005128404142532000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13005128404142532000's digits is 45
- More coming soon!
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"Number 13005128404142532000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 13005128404142532000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/13005128404142532000/
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The information we have on file for 13005128404142532000 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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