12388813137984000
12,388,813,137,984,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12388813137984000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
12388813137984000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 12388813137984000:
29 × 3 × 53 × 19 × 612 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 61 × 61 × 97 × 97 × 97)See below for interesting mathematical facts about the number 12388813137984000 from the Numbermatics database.
Names of 12388813137984000
- Cardinal: 12388813137984000 can be written as Twelve quadrillion, three hundred eighty-eight trillion, eight hundred thirteen billion, one hundred thirty-seven million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.2388813137984 × 1016
Factors of 12388813137984000
Divisors of 12388813137984000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 61 64 75 76 80 95 96 97 100 114 120 122 125 128 150 152 160 183 190 192 194 200 228 240 244 250 256 285 291 300 304 305 320 366 375 380 384 388 400 456 475 480 485 488 500 512 570 582 600 608 610 640 732 750 760 768 776 800 912 915 950 960 970 976 1000 1140 1159 1164 1200 1216 1220 1280 1425 1455 1464 1500 1520 1525 1536 1552 1600 1824 1830 1843 1900 1920 1940 1952 2000 2280 2318 2328 2375 2400 2425 2432 2440 2560 2850 2910 2928 3000 3040 3050 3104 3200 3477 3648 3660 3686 3721 3800 3840 3880 3904 4000 4560 4575 4636 4656 4750 4800 4850 4864 4880 5529 5700 5795 5820 5856 5917 6000 6080 6100 6208 6400 6954 7125 7275 7296 7320 7372 7442 7600 7625 7680 7760 7808 8000 9120 9150 9215 9272 9312 9409 9500 9600 9700 9728 9760 11058 11163 11400 11590 11640 11712 11834 12000 12125 12160 12200 12416 12800 13908 14250 14550 14592 14640 14744 14884 15200 15250 15520 15616 16000 17385 17751 18240 18300 18430 18544 18605 18624 18818 19000 19200 19400 19520 22116 22326 22800 22875 23180 23280 23424 23668 24000 24250 24320 24400 24832 27645 27816 28227 28500 28975 29100 29184 29280 29488 29585 29768 30400 30500 31040 31232 32000 34770 35502 36375 36480 36600 36860 37088 37210 37248 37636 38000 38400 38800 39040 44232 44652 45600 45750 46075 46360 46560 46848 47045 47336 48000 48500 48640 48800 49664 55290 55632 55815 56454 57000 57950 58200 58560 58976 59170 59536 60800 61000 62080 64000 69540 70699 71004 72750 72960 73200 73720 74176 74420 74496 75272 76000 77600 78080 86925 88464 88755 89304 91200 91500 92150 92720 93025 93120 93696 94090 94672 96000 97000 97600 110580 111264 111630 112423 112908 114000 115900 116400 117120 117952 118340 119072 121600 122000 124160 138225 139080 141135 141398 142008 144875 145500 145920 146400 147440 147925 148352 148840 148992 150544 152000 155200 156160 173850 176928 177510 178608 178771 182400 183000 184300 185440 186050 186240 188180 189344 192000 194000 195200 212097 221160 222528 223260 224846 225816 228000 230375 231800 232800 234240 235225 235904 236680 238144 243200 244000 248320 276450 278160 279075 282270 282796 284016 289750 291000 292800 294880 295850 296704 297680 301088 304000 310400 337269 347700 353495 353856 355020 357216 357542 360937 364800 366000 368600 370880 372100 372480 376360 378688 388000 390400 424194 434625 442320 443775 445056 446520 449692 451632 456000 460750 463600 465125 465600 468480 470450 471808 473360 476288 488000 536313 552900 556320 558150 562115 564540 565592 568032 573949 579500 582000 585600 589760 591700 593408 595360 602176 608000 620800 674538 691125 695400 705675 706990 707712 710040 714432 715084 721874 729600 732000 737200 739625 741760 744200 744960 752720 757376 776000 780800 848388 869250 884640 887550 890112 893040 893855 899384 903264 912000 912673 921500 927200 930250 931200 940900 943616 946720 952576 976000 1060485 1072626 1082811 1105800 1112640 1116300 1124230 1129080 1131184 1136064 1147898 1159000 1164000 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4524736 4544256 4563365 4591592 4636000 4656000 4704500 4718080 4733600 4762880 4817408 5302425 5363130 5396304 5414055 5476038 5529000 5563200 5581500 5621150 5645400 5655920 5680320 5715456 5720672 5739490 5774992 5856000 5897600 5917000 5953600 6021760 6208000 6745380 6787104 6857803 6887388 6954000 7056750 7069900 7077120 7100400 7144320 7150840 7195072 7218740 7226112 7301384 7372000 7417600 7442000 7527200 7573760 8431725 8483880 8581008 8609235 8662488 8837375 8846400 8875500 8901120 8930400 8938550 8993840 9023425 9032640 9049472 9088512 9126730 9183184 9272000 9312000 9409000 9467200 9525760 10604850 10726260 10792608 10828110 10905031 10952076 11058000 11126400 11163000 11242300 11290800 11311840 11360640 11441344 11478980 11549984 11712000 11795200 11834000 11907200 12043520 13407825 13490760 13574208 13690095 13715606 13774776 13908000 14052875 14113500 14139800 14154240 14200800 14288640 14301680 14348725 14390144 14437480 14452224 14602768 14744000 14835200 14884000 15054400 15147520 16863450 16967760 17162016 17218470 17324976 17340787 17674750 17692800 17751000 17860800 17877100 17987680 18046850 18065280 18098944 18253460 18366368 18544000 18624000 18818000 18934400 20573409 21209700 21452520 21585216 21656220 21810062 21904152 22116000 22252800 22326000 22346375 22484600 22581600 22623680 22721280 22816825 22882688 22957960 23099968 23590400 23668000 23814400 24087040 26512125 26815650 26981520 27070275 27148416 27380190 27431212 27549552 27816000 28105750 28227000 28279600 28401600 28577280 28603360 28697450 28780288 28874960 29205536 29488000 29768000 30108800 32715093 33726900 33935520 34289015 34324032 34436940 34649952 34681574 35010889 35349500 35385600 35502000 35721600 35754200 35975360 36093700 36130560 36197888 36506920 36732736 37088000 37636000 37868800 41146818 42158625 42419400 42905040 43046175 43170432 43312440 43620124 43808304 44232000 44505600 44652000 44692750 44969200 45117125 45163200 45247360 45442560 45633650 45765376 45915920 46199936 47336000 47628800 52022361 53024250 53631300 53963040 54140550 54296832 54525155 54760380 54862424 55099104 55632000 55673053 56211500 56454000 56559200 56803200 57206720 57394900 57560576 57749920 58411072 58976000 59536000 60217600 65430186 67039125 67453800 67871040 68450475 68578030 68648064 68873880 69299904 69363148 70021778 70699000 70771200 71004000 71443200 71508400 71743625 71950720 72187400 72261120 73013840 73465472 74176000 75272000 75737600 82293636 84317250 84838800 85810080 86092350 86340864 86624880 86703935 87240248 87616608 88464000 89304000 89385500 89938400 90234250 90326400 90494720 91267300 91530752 91831840 92399872 94672000 102867045 104044722 105032667 106048500 107262600 107926080 108281100 108593664 109050310 109520760 109724848 110198208 111264000 111346106 112423000 112908000 113118400 113606400 114084125 114413440 114789800 115499840 116822144 117952000 119072000 120435200 130860372 134078250 134907600 135351375 135742080 136900950 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142523015680 158668201050 159649653840 163010699184 164587272000 166301722750 166471555200 167019159000 168052267200 169246081120 169802811650 170292964096 174480496000 175233216000 178153769600 193575205281 199562067300 203095297344 203763373980 208089444000 209376595200 210065334000 211557601400 212866205120 213784523520 217347598912 219449696000 221962073600 222692212000 224069689600 249452584125 253869121680 254704217475 255439446144 258100273708 261720744000 263339635200 264447001750 266082756400 267230654400 268883627520 270793729792 271684498640 277452592000 280087112000 317336402100 319299307680 322625342135 326021398368 329174544000 332603445500 332943110400 334038318000 336104534400 338492162240 339605623300 340585928192 348960992000 356307539200 387150410562 396670502625 399124134600 406190594688 407526747960 416178888000 418753190400 420130668000 423115202800 424507029125 425732410240 427569047040 434695197824 438899392000 445384424000 448139379200 498905168250 507738243360 509408434950 510878892288 516200547416 523441488000 528894003500 532165512800 534461308800 541587459584 543368997280 554905184000 560174224000 634672804200 638598615360 645250684270 652042796736 658349088000 665206891000 665886220800 668076636000 672209068800 676984324480 679211246600 697921984000 712615078400 774300821124 793341005250 798248269200 812381189376 815053495920 832357776000 840261336000 846230405600 849014058250 851464820480 869390395648 890768848000 967876026405 997810336500 1015476486720 1018816869900 1021757784576 1032401094832 1046882976000 1057788007000 1064331025600 1068922617600 1086737994560 1109810368000 1120348448000 1269345608400 1273521087375 1277197230720 1290501368540 1304085593472 1316698176000 1330413782000 1336153272000 1344418137600 1353968648960 1358422493200 1548601642248 1586682010500 1596496538400 1613126710675 1624762378752 1630106991840 1664715552000 1680522672000 1692460811200 1698028116500 1702929640960 1738780791296 1781537696000 1935752052810 1995620673000 2030952973440 2037633739800 2064802189664 2093765952000 2115576014000 2128662051200 2137845235200 2173475989120 2240696896000 2538691216800 2547042174750 2554394461440 2581002737080 2608171186944 2660827564000 2672306544000 2707937297920 2716844986400 3097203284496 3173364021000 3192993076800 3226253421350 3260213983680 3329431104000 3361045344000 3384921622400 3396056233000 3563075392000 3871504105620 3991241346000 4061905946880 4075267479600 4129604379328 4231152028000 4257324102400 4346951978240 4839380132025 5077382433600 5094084349500 5108788922880 5162005474160 5216342373888 5321655128000 5344613088000 5433689972800 6194406568992 6346728042000 6385986153600 6452506842700 6520427967360 6722090688000 6769843244800 6792112466000 7743008211240 7982482692000 8065633553375 8123811893760 8150534959200 8259208758656 8462304056000 8514648204800 8693903956480 9678760264050 10154764867200 10188168699000 10324010948320 10643310256000 10689226176000 10867379945600 12388813137984 12693456084000 12771972307200 12905013685400 13040855934720 13539686489600 13584224932000 15486016422480 15964965384000 16131267106750 16301069918400 16518417517312 16924608112000 19357520528100 20309529734400 20376337398000 20648021896640 21286620512000 21734759891200 24196900660125 24777626275968 25386912168000 25543944614400 25810027370800 26081711869440 27168449864000 30972032844960 31929930768000 32262534213500 32602139836800 33036835034624 33849216224000 38715041056200 40619059468800 40752674796000 41296043793280 42573241024000 43469519782400 48393801320250 49555252551936 50773824336000 51620054741600 54336899728000 61944065689920 63859861536000 64525068427000 65204279673600 67698432448000 77430082112400 81505349592000 82592087586560 96787602640500 99110505103872 101547648672000 103240109483200 108673799456000 123888131379840 127719723072000 129050136854000 130408559347200 154860164224800 163010699184000 165184175173120 193575205281000 203095297344000 206480218966400 217347598912000 247776262759680 258100273708000 309720328449600 326021398368000 387150410562000 412960437932800 495552525519360 516200547416000 619440656899200 652042796736000 774300821124000 825920875865600 1032401094832000 1238881313798400 1548601642248000 2064802189664000 2477762627596800 3097203284496000 4129604379328000 6194406568992000 12388813137984000
- Sum of all divisors σ(n): 44539184347257600
- Sum of proper divisors (its aliquot sum) s(n): 32150371209273600
- 12388813137984000 is an abundant number, because the sum of its proper divisors (32150371209273600) is greater than itself. Its abundance is 19761558071289600
Bases of 12388813137984000
- Binary: 1011000000001110001111010101100100011100111010000000002
- Hexadecimal: 0x2C038F56473A00
- Base-36: 3DZGU6OOGLC
Squares and roots of 12388813137984000
- 12388813137984000 squared (123888131379840002) is 153482690967884965023584256000000
- 12388813137984000 cubed (123888131379840003) is 1901468378316071467701364951142377979904000000000
-
The
square root of 12388813137984000 is 111305045.4291448551 -
The
cube root of 12388813137984000 is 231389.2797029221
Scales and comparisons
How big is 12388813137984000?- 12,388,813,137,984,000 seconds is equal to 393,925,936 years, 34 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 12,388,813,137,984,000 would take you about one billion, one hundred eighty-one million, seven hundred seventy-seven thousand, eight hundred ten 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 12388813137984000 cubic inches would be around 19282.4 feet tall.
Recreational maths with 12388813137984000
- 12388813137984000 backwards is 00048973131888321
- The number of decimal digits it has is: 17
- The sum of 12388813137984000's digits is 66
- More coming soon!
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MLA style:
"Number 12388813137984000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 12388813137984000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/12388813137984000/
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Numbermatics. 2024. "Number 12388813137984000 - Facts about the integer". https://numbermatics.com/n/12388813137984000/
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