12968020328448000
12,968,020,328,448,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12968020328448000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
12968020328448000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 12968020328448000:
217 × 3 × 53 × 372 × 4392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 37 × 37 × 439 × 439)See below for interesting mathematical facts about the number 12968020328448000 from the Numbermatics database.
Names of 12968020328448000
- Cardinal: 12968020328448000 can be written as Twelve quadrillion, nine hundred sixty-eight trillion, twenty billion, three hundred twenty-eight million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.2968020328448 × 1016
Factors of 12968020328448000
Divisors of 12968020328448000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 125 128 148 150 160 185 192 200 222 240 250 256 296 300 320 370 375 384 400 439 444 480 500 512 555 592 600 640 740 750 768 800 878 888 925 960 1000 1024 1110 1184 1200 1280 1317 1369 1480 1500 1536 1600 1756 1776 1850 1920 2000 2048 2195 2220 2368 2400 2560 2634 2738 2775 2960 3000 3072 3200 3512 3552 3700 3840 4000 4096 4107 4390 4440 4625 4736 4800 5120 5268 5476 5550 5920 6000 6144 6400 6585 6845 7024 7104 7400 7680 8000 8192 8214 8780 8880 9250 9472 9600 10240 10536 10952 10975 11100 11840 12000 12288 12800 13170 13690 13875 14048 14208 14800 15360 16000 16243 16384 16428 17560 17760 18500 18944 19200 20480 20535 21072 21904 21950 22200 23680 24000 24576 25600 26340 27380 27750 28096 28416 29600 30720 32000 32486 32768 32856 32925 34225 35120 35520 37000 37888 38400 40960 41070 42144 43808 43900 44400 47360 48000 48729 49152 51200 52680 54760 54875 55500 56192 56832 59200 61440 64000 64972 65536 65712 65850 68450 70240 71040 74000 75776 76800 81215 81920 82140 84288 87616 87800 88800 94720 96000 97458 98304 102400 102675 105360 109520 109750 111000 112384 113664 118400 122880 128000 129944 131072 131424 131700 136900 140480 142080 148000 151552 153600 162430 163840 164280 164625 168576 171125 175232 175600 177600 189440 192000 192721 194916 196608 204800 205350 210720 219040 219500 222000 224768 227328 236800 243645 245760 256000 259888 262848 263400 273800 280960 284160 296000 303104 307200 324860 327680 328560 329250 337152 342250 350464 351200 355200 378880 384000 385442 389832 393216 406075 409600 410700 421440 438080 439000 444000 449536 454656 473600 487290 491520 512000 513375 519776 525696 526800 547600 561920 568320 578163 592000 600991 606208 614400 649720 655360 657120 658500 674304 684500 700928 702400 710400 757760 768000 770884 779664 812150 819200 821400 842880 876160 878000 888000 899072 909312 947200 963605 974580 983040 1024000 1026750 1039552 1051392 1053600 1095200 1123840 1136640 1156326 1184000 1201982 1212416 1218225 1228800 1299440 1314240 1317000 1348608 1369000 1401856 1404800 1420800 1515520 1536000 1541768 1559328 1624300 1638400 1642800 1685760 1752320 1756000 1776000 1798144 1802973 1818624 1894400 1927210 1949160 1966080 2030375 2048000 2053500 2079104 2102784 2107200 2190400 2247680 2273280 2312652 2368000 2403964 2424832 2436450 2457600 2598880 2628480 2634000 2697216 2738000 2803712 2809600 2841600 2890815 3004955 3031040 3072000 3083536 3118656 3248600 3276800 3285600 3371520 3504640 3512000 3552000 3596288 3605946 3637248 3788800 3854420 3898320 4060750 4096000 4107000 4158208 4205568 4214400 4380800 4495360 4546560 4625304 4736000 4807928 4818025 4849664 4872900 4915200 5197760 5256960 5268000 5394432 5476000 5607424 5619200 5683200 5781630 6009910 6062080 6091125 6144000 6167072 6237312 6497200 6571200 6743040 7009280 7024000 7104000 7130677 7192576 7211892 7274496 7577600 7708840 7796640 8121500 8192000 8214000 8316416 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3991879680 4158208000 4205568000 4221360784 4278406200 4315545600 4485939200 4563633280 4615610880 4625304000 4736311296 4807928000 4923318272 4933657600 4989849600 5276700980 5322506240 5348007750 5394432000 5476359936 5607424000 5704541600 5769513600 5920389120 6154147840 6167072000 6237312000 6315081728 6332041176 6387007488 6595876225 6653132800 6728908800 6845449920 7130677000 7192576000 7211892000 7301813248 7384977408 7400486400 7692684800 7893852160 7915051470 7983759360 8316416000 8411136000 8442721568 8556812400 9127266560 9231221760 9250608000 9472622592 9615856000 9846636544 9867315200 9979699200 10553401960 10645012480 10696015500 10788864000 10952719872 11214848000 11409083200 11539027200 11840778240 12308295680 12334144000 12474624000 12630163456 12664082352 13191752450 13306265600 13457817600 13690899840 14261354000 14423784000 14603626496 14769954816 14800972800 15385369600 15787704320 15830102940 15967518720 16632832000 16822272000 16885443136 17113624800 18254533120 18462443520 18501216000 18945245184 19231712000 19693273088 19734630400 19787628675 19959398400 21106803920 21392031000 21577728000 21905439744 22429696000 22818166400 23078054400 23681556480 24616591360 24668288000 24949248000 25260326912 25328164704 26383504900 26612531200 27381799680 28522708000 28847568000 29207252992 29539909632 29601945600 30770739200 31575408640 31660205880 31935037440 32979381125 33265664000 33644544000 33770886272 34227249600 36509066240 36924887040 37002432000 37890490368 38463424000 39386546176 39469260800 39575257350 39918796800 42213607840 42784062000 43810879488 45636332800 46156108800 47363112960 49233182720 49336576000 49898496000 50656329408 52767009800 53225062400 54763599360 57045416000 57695136000 58414505984 59079819264 59203891200 61541478400 63150817280 63320411760 65958762250 66531328000 67289088000 67541772544 68454499200 73018132480 73849774080 74004864000 75780980736 76926848000 78773092352 78938521600 79150514700 79837593600 84427215680 85568124000 87621758976 91272665600 92312217600 94726225920 98466365440 98673152000 98938143375 99796992000 101312658816 105534019600 109527198720 114090832000 115390272000 116829011968 118159638528 118407782400 123082956800 126301634560 126640823520 131917524500 133062656000 135083545088 136908998400 146036264960 147699548160 148009728000 153853696000 157877043200 158301029400 159675187200 168854431360 171136248000 175243517952 182545331200 184624435200 189452451840 196932730880 197346304000 197876286750 199593984000 202625317632 211068039200 219054397440 228181664000 230780544000 233658023936 236319277056 236815564800 246165913600 253281647040 263835049000 266125312000 270167090176 273817996800 292072529920 295399096320 296019456000 307707392000 315754086400 316602058800 337708862720 342272496000 350487035904 365090662400 369248870400 378904903680 393865461760 394692608000 395752573500 399187968000 405250635264 422136078400 438108794880 456363328000 461561088000 467316047872 473631129600 492331827200 506563294080 527670098000 540334180352 547635993600 584145059840 590798192640 592038912000 615414784000 631508172800 633204117600 675417725440 684544992000 700974071808 730181324800 738497740800 789385216000 791505147000 798375936000 810501270528 844272156800 876217589760 912726656000 923122176000 934632095744 947262259200 984663654400 1013126588160 1055340196000 1080668360704 1095271987200 1168290119680 1181596385280 1184077824000 1230829568000 1266408235200 1350835450880 1369089984000 1401948143616 1460362649600 1476995481600 1578770432000 1583010294000 1621002541056 1688544313600 1752435179520 1825453312000 1846244352000 1894524518400 1969327308800 2026253176320 2110680392000 2161336721408 2190543974400 2336580239360 2368155648000 2461659136000 2532816470400 2701670901760 2738179968000 2803896287232 2920725299200 2953990963200 3157540864000 3166020588000 3242005082112 3377088627200 3504870359040 3650906624000 3692488704000 4052506352640 4221360784000 4322673442816 4381087948800 4673160478720 4736311296000 4923318272000 5065632940800 5403341803520 5476359936000 5841450598400 5907981926400 6332041176000 6484010164224 6754177254400 7009740718080 7301813248000 7384977408000 8105012705280 8442721568000 8645346885632 8762175897600 9472622592000 9846636544000 10131265881600 10806683607040 10952719872000 11682901196800 12664082352000 12968020328448 13508354508800 14019481436160 14603626496000 14769954816000 16210025410560 16885443136000 17290693771264 17524351795200 20262531763200 21613367214080 21905439744000 23365802393600 25328164704000 25936040656896 27016709017600 29207252992000 29539909632000 32420050821120 33770886272000 34581387542528 35048703590400 40525063526400 43226734428160 43810879488000 50656329408000 51872081313792 54033418035200 58414505984000 64840101642240 67541772544000 70097407180800 81050127052800 86453468856320 87621758976000 101312658816000 103744162627584 108066836070400 116829011968000 129680203284480 135083545088000 162100254105600 172906937712640 175243517952000 202625317632000 216133672140800 259360406568960 270167090176000 324200508211200 350487035904000 405250635264000 432267344281600 518720813137920 540334180352000 648401016422400 810501270528000 864534688563200 1080668360704000 1296802032844800 1621002541056000 2161336721408000 2593604065689600 3242005082112000 4322673442816000 6484010164224000 12968020328448000
- Sum of all divisors σ(n): 44456615586465264
- Sum of proper divisors (its aliquot sum) s(n): 31488595258017264
- 12968020328448000 is an abundant number, because the sum of its proper divisors (31488595258017264) is greater than itself. Its abundance is 18520574929569264
Bases of 12968020328448000
- Binary: 1011100001001001011000100001010001111000000000000000002
- Hexadecimal: 0x2E1258851E0000
- Base-36: 3JOS2AN711C
Squares and roots of 12968020328448000
- 12968020328448000 squared (129680203284480002) is 168169551239040573798088704000000
- 12968020328448000 cubed (129680203284480003) is 2180826159093855707185488658080718651392000000000
-
The
square root of 12968020328448000 is 113877216.0199220887 -
The
cube root of 12968020328448000 is 234940.5029909961
Scales and comparisons
How big is 12968020328448000?- 12,968,020,328,448,000 seconds is equal to 412,342,933 years, 37 weeks, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 12,968,020,328,448,000 would take you about one billion, two hundred thirty-seven million, twenty-eight thousand, eight hundred one 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 12968020328448000 cubic inches would be around 19578.4 feet tall.
Recreational maths with 12968020328448000
- 12968020328448000 backwards is 00084482302086921
- The number of decimal digits it has is: 17
- The sum of 12968020328448000's digits is 57
- More coming soon!
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The information we have on file for 12968020328448000 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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