1328391433872000
1,328,391,433,872,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1328391433872000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
1328391433872000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 1328391433872000:
27 × 33 × 53 × 29 × 61 × 89 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 61 × 89 × 19531)See below for interesting mathematical facts about the number 1328391433872000 from the Numbermatics database.
Names of 1328391433872000
- Cardinal: 1328391433872000 can be written as One quadrillion, three hundred twenty-eight trillion, three hundred ninety-one billion, four hundred thirty-three million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.328391433872 × 1015
Factors of 1328391433872000
Divisors of 1328391433872000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 61 64 72 75 80 87 89 90 96 100 108 116 120 122 125 128 135 144 145 150 160 174 178 180 183 192 200 216 225 232 240 244 250 261 267 270 288 290 300 305 320 348 356 360 366 375 384 400 432 435 445 450 464 480 488 500 522 534 540 549 576 580 600 610 640 675 696 712 720 725 732 750 783 800 801 864 870 890 900 915 928 960 976 1000 1044 1068 1080 1098 1125 1152 1160 1200 1220 1305 1335 1350 1392 1424 1440 1450 1464 1500 1525 1566 1600 1602 1647 1728 1740 1769 1780 1800 1830 1856 1920 1952 2000 2088 2136 2160 2175 2196 2225 2250 2320 2400 2403 2440 2581 2610 2670 2700 2745 2784 2848 2880 2900 2928 3000 3050 3132 3200 3204 3294 3375 3456 3480 3538 3560 3600 3625 3660 3712 3904 3915 4000 4005 4176 4272 4320 4350 4392 4450 4500 4575 4640 4800 4806 4880 5162 5220 5307 5340 5400 5429 5490 5568 5696 5760 5800 5856 6000 6100 6264 6408 6525 6588 6675 6750 6960 7076 7120 7200 7250 7320 7625 7743 7808 7830 8000 8010 8235 8352 8544 8640 8700 8784 8845 8900 9000 9150 9280 9600 9612 9760 10324 10440 10614 10680 10800 10858 10875 10980 11125 11136 11392 11600 11712 12000 12015 12200 12528 12816 12905 13050 13176 13350 13500 13725 13920 14152 14240 14400 14500 14640 15250 15486 15660 15921 16000 16020 16287 16470 16704 17088 17280 17400 17568 17690 17800 18000 18300 18560 19224 19520 19531 19575 20025 20648 20880 21228 21360 21600 21716 21750 21960 22250 22875 23200 23229 23424 24000 24030 24400 25056 25632 25810 26100 26352 26535 26700 27000 27145 27450 27840 28304 28480 28800 29000 29280 30500 30972 31320 31842 32040 32574 32625 32940 33375 33408 34176 34800 35136 35380 35600 36000 36600 38448 38715 39040 39062 39150 40050 41175 41296 41760 42456 42720 43200 43432 43500 43920 44225 44500 45750 46400 46458 47763 48000 48060 48800 48861 50112 51264 51620 52200 52704 53070 53400 54000 54290 54900 55680 56608 56960 58000 58560 58593 60075 61000 61944 62640 63684 64080 64525 65148 65250 65880 66750 68625 69600 69687 70272 70760 71200 72000 73200 76896 77430 78124 78300 79605 80100 81435 82350 82592 83520 84912 85440 86400 86864 87000 87840 88450 89000 91500 92800 92916 95526 96120 97600 97655 97722 97875 100125 100224 102528 103240 104400 105408 106140 106800 108000 108580 109800 113216 116000 116145 117120 117186 120150 122000 123888 125280 127368 128160 129050 130296 130500 131760 132675 133500 135725 137250 139200 139374 141520 142400 144000 146400 146583 153792 154860 156248 156600 157441 159210 160200 162870 164700 165184 167040 169824 170880 173728 174000 175680 175779 176900 178000 183000 185832 191052 192240 193575 195200 195310 195444 195750 200250 205875 206480 208800 210816 212280 213600 216000 217160 219600 221125 226432 232000 232290 234372 238815 240300 244000 244305 247776 250560 254736 256320 258100 260592 261000 263520 265350 267000 271450 274500 278400 278748 283040 284800 292800 292965 293166 300375 307584 309720 312496 313200 314882 318420 320400 322625 325740 329400 330368 339648 347456 348000 348435 351360 351558 353800 356000 366000 371664 382104 384480 387150 390620 390888 391500 398025 400500 407175 411750 412960 417600 424560 427200 432000 434320 439200 442250 464000 464580 468744 472323 477630 480600 488000 488275 488610 495552 501120 509472 512640 516200 521184 522000 527040 527337 530700 534000 542900 549000 557496 566080 566399 580725 585600 585930 586332 600750 619440 624992 626400 629764 636840 640800 645250 651480 658800 663375 678625 679296 694912 696000 696870 703116 707600 712000 732000 732915 743328 764208 768960 774300 781240 781776 783000 787205 796050 801000 814350 823500 825920 835200 849120 854400 868640 878400 878895 884500 929160 937488 944646 955260 961200 967875 976000 976550 977220 991104 1018944 1032400 1042368 1044000 1054080 1054674 1061400 1068000 1085800 1098000 1114992 1132160 1132798 1161450 1171860 1172664 1191391 1194075 1201500 1221525 1238880 1249984 1252800 1259528 1273680 1281600 1290500 1302960 1317600 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4645800 4687440 4690656 4723230 4765564 4776300 4806000 4882750 4886100 4955520 5038112 5094720 5097591 5162000 5211840 5214777 5270400 5273370 5307000 5429000 5574960 5624928 5660800 5663990 5667876 5807250 5859300 5863320 5956955 5970375 6107625 6113664 6194400 6249920 6254208 6264000 6297640 6368400 6408000 6514800 6588000 6796788 6953036 6968700 7031160 7076000 7084845 7148346 7324125 7329150 7433280 7499904 7557168 7642080 7689600 7743000 7812400 7817760 7872050 7960500 8143500 8259200 8437392 8491200 8495985 8501814 8686400 8691295 8710875 8784000 8788950 8919936 9062384 9291600 9374880 9381312 9446460 9531128 9552600 9612000 9765500 9772200 10076224 10189440 10195182 10324000 10423680 10429554 10546740 10614000 10722519 10858000 11149920 11249856 11327980 11335752 11614500 11718600 11726640 11808075 11913910 11940750 12215250 12388800 12499840 12528000 12595280 12736800 12816000 13029600 13176000 13183425 13593576 13906072 13937400 14062320 14152000 14159975 14169690 14296692 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13610567970 13820135600 13906072000 14296692000 14314562865 14517939168 14925746448 15018557760 15122853300 15268867056 15292773000 15374900855 15547652550 15644331000 15905069850 16083778500 16131043520 16312291200 16584162720 16687286400 16965407840 17003628000 17156030400 17275169500 18147423960 18449881026 18657183060 18773197200 18903566625 19062256000 19086083820 19357252224 19900995264 20163804400 20358489408 20390364000 20587236480 20730203400 20859108000 21206759800 21445038000 21776908752 22112216960 22671504000 22684279950 22903300584 23321478825 23466496500 23857604775 24196565280 24468436800 24599841368 24876244080 25030929600 25204755500 25448111760 25734045600 25912754250 26508449750 27187152000 27221135940 27640271200 27674821539 27812144000 28593384000 28629125730 29035878336 29851492896 30037115520 30245706600 30537734112 30585546000 30749801710 31095305100 31288662000 31810139700 32167557000 32262087040 33168325440 33930815680 34007256000 34026419925 34312060800 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101792447040 102936182400 103651017000 106033799000 108884543760 110561084800 110699286156 113421399750 114516502920 116607394125 119288023875 119405971584 120982826400 122150936448 122342184000 122999206840 124381220400 125154648000 127240558800 128670228000 136105679700 138201356000 138374107695 143145628650 145179391680 147599048208 149257464480 150185577600 151228533000 152688670560 153749008550 155476525500 159050698500 161310435200 165841627200 166048929234 169654078400 170132099625 171560304000 174215270016 181474239600 183226404672 184498810260 186571830600 187731972000 190860838200 196798730944 199009952640 201638044000 203584894080 207302034000 212067598000 217769087520 221398572312 226842799500 229033005840 230623512825 233214788250 238576047750 241965652800 244684368000 245998413680 248762440800 250309296000 254481117600 257340456000 272211359400 276402712000 276748215390 286291257300 290358783360 295198096416 298514928960 302457066000 305377341120 307498017100 310953051000 318101397000 331683254400 332097858468 339308156800 340264199250 357864071625 362948479200 366452809344 368997620520 373143661200 375463944000 381721676400 384372521375 393597461888 403276088000 414604068000 415122323085 424135196000 435538175040 442797144624 453685599000 458066011680 461247025650 466429576500 477152095500 483931305600 491996827360 497524881600 508962235200 514680912000 544422718800 552805424000 553496430780 572582514600 590396192832 597029857920 604914132000 610754682240 614996034200 621906102000 636202794000 664195716936 680528398500 691870538475 715728143250 725896958400 737995241040 746287322400 750927888000 763443352800 768745042750 806552176000 829208136000 830244646170 848270392000 871076350080 885594289248 907371198000 916132023360 922494051300 932859153000 954304191000 983993654720 995049763200 1017924470400 1088845437600 1106992861560 1145165029200 1153117564125 1180792385664 1209828264000 1229992068400 1243812204000 1272405588000 1328391433872 1361056797000 1383741076950 1431456286500 1451793916800 1475990482080 1492574644800 1526886705600 1537490085500 1658416272000 1660489292340 1696540784000 1771188578496 1814742396000 1832264046720 1844988102600 1865718306000 1908608382000 1967987309440 2075611615425 2177690875200 2213985723120 2290330058400 2306235128250 2419656528000 2459984136800 2487624408000 2544811176000 2656782867744 2722113594000 2767482153900 2862912573000 2951980964160 2985149289600 3053773411200 3074980171000 3320978584680 3459352692375 3542377156992 3629484792000 3689976205200 3731436612000 3817216764000 4151223230850 4355381750400 4427971446240 4580660116800 4612470256500 4919968273600 4975248816000 5089622352000 5313565735488 5444227188000 5534964307800 5725825146000 5903961928320 6149960342000 6641957169360 6918705384750 7258969584000 7379952410400 7462873224000 7634433528000 8302446461700 8855942892480 9161320233600 9224940513000 9839936547200 10378058077125 10627131470976 10888454376000 11069928615600 11451650292000 12299920684000 13283914338720 13837410769500 14759904820800 14925746448000 15268867056000 16604892923400 17711885784960 18449881026000 20756116154250 21776908752000 22139857231200 22903300584000 24599841368000 26567828677440 27674821539000 29519809641600 33209785846800 36899762052000 41512232308500 44279714462400 45806601168000 49199682736000 53135657354880 55349643078000 66419571693600 73799524104000 83024464617000 88559428924800 110699286156000 132839143387200 147599048208000 166048929234000 221398572312000 265678286774400 332097858468000 442797144624000 664195716936000 1328391433872000
- Sum of all divisors σ(n): 5202677900160000
- Sum of proper divisors (its aliquot sum) s(n): 3874286466288000
- 1328391433872000 is an abundant number, because the sum of its proper divisors (3874286466288000) is greater than itself. Its abundance is 2545895032416000
Bases of 1328391433872000
- Binary: 1001011100000101010001110111000100111100010100000002
- Hexadecimal: 0x4B82A3B89E280
- Base-36: D2VILLODC0
Squares and roots of 1328391433872000
- 1328391433872000 squared (13283914338720002) is 1764623801584508148912384000000
- 1328391433872000 cubed (13283914338720003) is 2344111142031504405515590279057870848000000000
-
The
square root of 1328391433872000 is 36447104.6020393779 -
The
cube root of 1328391433872000 is 109928.0916770673
Scales and comparisons
How big is 1328391433872000?- 1,328,391,433,872,000 seconds is equal to 42,238,738 years, 31 weeks, 6 days.
-
To count from 1 to 1,328,391,433,872,000 would take you about one hundred twenty-six million, seven hundred sixteen thousand, two hundred fifteen 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 1328391433872000 cubic inches would be around 9160.7 feet tall.
Recreational maths with 1328391433872000
- 1328391433872000 backwards is 0002783341938231
- 1328391433872000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1328391433872000's digits is 54
- More coming soon!
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MLA style:
"Number 1328391433872000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 1328391433872000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/1328391433872000/
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Numbermatics. 2024. "Number 1328391433872000 - Facts about the integer". https://numbermatics.com/n/1328391433872000/
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