12188138008320
12,188,138,008,320 is an even composite number composed of eight prime numbers multiplied together.
What does the number 12188138008320 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
12188138008320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12188138008320:
28 × 32 × 5 × 23 × 37 × 61 × 89 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 37 × 61 × 89 × 229)See below for interesting mathematical facts about the number 12188138008320 from the Numbermatics database.
Names of 12188138008320
- Cardinal: 12188138008320 can be written as Twelve trillion, one hundred eighty-eight billion, one hundred thirty-eight million, eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.218813800832 × 1013
Factors of 12188138008320
Divisors of 12188138008320
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 37 40 45 46 48 60 61 64 69 72 74 80 89 90 92 96 111 115 120 122 128 138 144 148 160 178 180 183 184 185 192 207 222 229 230 240 244 256 267 276 288 296 305 320 333 345 356 360 366 368 370 384 414 444 445 458 460 480 488 534 549 552 555 576 592 610 640 666 687 690 712 720 732 736 740 768 801 828 851 888 890 915 916 920 960 976 1035 1068 1098 1104 1110 1145 1152 1184 1220 1280 1332 1335 1374 1380 1403 1424 1440 1464 1472 1480 1602 1656 1665 1702 1776 1780 1830 1832 1840 1920 1952 2047 2061 2070 2136 2196 2208 2220 2257 2290 2304 2368 2440 2553 2664 2670 2745 2748 2760 2806 2848 2880 2928 2944 2960 3204 3293 3312 3330 3404 3435 3552 3560 3660 3664 3680 3840 3904 4005 4094 4122 4140 4209 4255 4272 4392 4416 4440 4514 4580 4736 4880 5106 5267 5328 5340 5429 5490 5496 5520 5612 5696 5760 5856 5888 5920 6141 6408 6586 6624 6660 6771 6808 6870 7015 7104 7120 7320 7328 7360 7659 7808 8010 8188 8244 8280 8418 8473 8510 8544 8784 8832 8880 9028 9160 9472 9760 9879 10212 10235 10305 10534 10656 10680 10858 10980 10992 11040 11224 11285 11392 11520 11712 11840 12282 12627 12765 12816 13172 13248 13320 13542 13616 13740 13969 14030 14208 14240 14640 14656 14720 15318 15616 15801 16020 16287 16376 16465 16488 16560 16836 16946 17020 17088 17568 17664 17760 18056 18320 18423 19520 19758 20313 20381 20424 20470 20610 21045 21068 21312 21360 21716 21960 21984 22080 22448 22570 22784 23424 23680 24564 25254 25419 25530 25632 26335 26344 26496 26640 27084 27145 27232 27480 27938 28060 28416 28480 29280 29312 29440 29637 30636 30705 31602 32040 32574 32752 32930 32976 33120 33672 33855 33892 34040 34176 35136 35520 36112 36640 36846 38295 39040 39516 40626 40762 40848 40940 41220 41907 42090 42136 42365 42624 42720 43432 43920 43968 44160 44896 45140 46848 47360 47403 48861 49128 49395 50508 50838 51060 51264 51911 52670 52688 52992 53280 54168 54290 54464 54960 55876 56120 56960 58560 58624 59274 61143 61272 61410 63135 63204 64080 65148 65504 65860 65952 66240 67344 67710 67784 68080 68352 69845 70272 71040 72224 73280 73692 75739 76257 76590 78080 79005 79032 81252 81435 81524 81696 81880 82440 83814 84180 84272 84730 85248 85440 86864 87840 87936 88320 89792 90280 92115 94806 97722 98256 98790 101016 101565 101676 101905 102120 102528 103822 105340 105376 106560 108336 108580 108928 109920 111752 112240 113920 117120 118548 122286 122544 122820 124867 125721 126270 126408 127095 128160 130296 131008 131720 131904 132480 134688 135420 135568 136160 139690 140544 142080 144448 146560 147384 148185 151478 152514 153180 155733 158010 158064 162504 162870 163048 163392 163760 164880 167628 168360 168544 169460 170880 173728 175680 175872 179584 180560 183429 184230 189612 194879 195444 196512 197580 200873 202032 203130 203352 203810 204240 205056 207644 209535 210680 210752 213120 216672 217160 217856 219840 223504 224480 227217 234240 237015 237096 244305 244572 245088 245640 249734 251442 252540 252816 254190 256320 259555 260592 262016 263440 263808 264960 269376 270840 271136 272320 279380 288896 293120 294768 296370 302956 305028 305715 306360 311466 316020 316128 321287 325008 325740 326096 326784 327520 329760 335256 336720 337088 338920 341760 347456 351360 359168 361120 366858 368460 374601 378695 379224 381285 389758 390888 393024 395160 401746 404064 406260 406704 407620 408480 415288 419070 421360 421504 426240 433344 434320 439680 447008 448960 454434 467199 468763 474030 474192 488610 489144 490176 491280 499468 502884 505080 505632 508380 512640 516853 519110 521184 524032 526880 527616 538752 541680 542272 544640 558760 577792 584637 589536 592740 602619 605912 610056 611430 612720 622932 624335 628605 632040 632256 642574 650016 651480 652192 653568 655040 659520 670512 673440 674176 677840 681651 694912 702720 722240 733716 736920 749202 754097 757390 758448 762570 778665 779516 781776 786048 790320 803492 808128 812520 813408 815240 816960 830576 838140 842720 843008 866688 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41580711 42188670 43625664 44756676 44952120 45001248 45245820 45999917 46200790 46265328 46516770 46770960 46957824 47550476 47948928 48209520 48262208 48472960 48804480 49617888 49729640 49834560 49889024 51405920 51423488 52032693 53640960 54294984 54532080 55440948 55945845 56125152 56251560 57189086 57831660 57851424 58167552 58697280 59438095 59675568 59801472 59936160 60001664 60327760 60675840 61687104 62022360 62361280 62542080 64279360 66157184 66446080 67501872 67868730 69301185 69376924 70156440 71325714 71923392 72314280 72393312 72709440 73921264 74426832 74594460 74751840 74833536 75002080 77108880 77135232 78263040 79567424 79914880 80461440 82249472 82696480 83161422 84377340 85783629 86721155 87251328 89513352 89904240 90002496 90491640 91999834 92401580 92530656 93033540 93541920 95100952 95897856 96419040 96524416 96945920 97608960 99235776 99459280 99669120 102811840 104065386 106988571 108589968 109064160 110881896 111891690 112250304 112503120 114378172 115663320 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1029403548 1040653860 1057998091 1069885710 1080029952 1085899680 1103998008 1108818960 1110030784 1122503040 1141211424 1143781720 1157028480 1182740224 1190829312 1193511360 1233742080 1248784632 1286754435 1330582752 1350037440 1372538064 1379997510 1387538480 1426514280 1432213632 1438467840 1447866240 1471997344 1478425280 1488536640 1521615232 1560980790 1591348480 1655997012 1663228440 1665046176 1711817136 1715672580 1737439488 1774110336 1790267040 1800049920 1830050752 1839996680 1850613120 1902019040 1984715520 2058807096 2069996265 2081307720 2115996182 2139771420 2171799360 2207996016 2217637920 2220061568 2245006080 2282422848 2287563440 2314056960 2387022720 2497569264 2573508870 2661165504 2700074880 2745076128 2759995020 2775076960 2853028560 2864427264 2895732480 2943994688 2956850560 2977073280 3043230464 3121961580 3173994273 3311994024 3326456880 3330092352 3423634272 3431345160 3548220672 3580534080 3660101504 3679993360 3701226240 3804038080 4117614192 4139992530 4162615440 4231992364 4279542840 4343598720 4415992032 4435275840 4440123136 4564845696 4575126880 4774045440 4995138528 5147017740 5289990455 5322331008 5400149760 5490152256 5519990040 5550153920 5706057120 5887989376 5913701120 5954146560 6243923160 6347988546 6623988048 6652913760 6660184704 6847268544 6862690320 7161068160 7320203008 7359986720 7608076160 8235228384 8279985060 8325230880 8463984728 8559085680 8687197440 8831984064 8870551680 9129691392 9150253760 9521982819 9990277056 10294035480 10579980910 10644662016 10980304512 11039980080 11100307840 11412114240 11775978752 12487846320 12695977092 13247976096 13305827520 13320369408 13694537088 13725380640 14322136320 14719973440 15216152320 15869971365 16470456768 16559970120 16650461760 16927969456 17118171360 17663968128 17741103360 18300507520 19043965638 19980554112 20588070960 21159961820 21960609024 22079960160 22200615680 22824228480 24975692640 25391954184 26495952192 26611655040 27389074176 27450761280 29439946880 31739942730 32940913536 33119940240 33300923520 33855938912 34236342720 35327936256 36601015040 38087931276 39961108224 41176141920 42319923640 44159920320 45648456960 47609914095 49951385280 50783908368 52991904384 53223310080 54901522560 58879893760 63479885460 65881827072 66239880480 66601847040 67711877824 68472685440 76175862552 82352283840 84639847280 88319840640 95219828190 99902770560 101567816736 105983808768 109803045120 126959770920 132479760960 135423755648 136945370880 152351725104 164704567680 169279694560 176639681280 190439656380 199805541120 203135633472 253919541840 264959521920 270847511296 304703450208 329409135360 338559389120 380879312760 406271266944 507839083680 529919043840 609406900416 677118778240 761758625520 812542533888 1015678167360 1218813800832 1354237556480 1523517251040 2031356334720 2437627601664 3047034502080 4062712669440 6094069004160 12188138008320
- Sum of all divisors σ(n): 46652226566400
- Sum of proper divisors (its aliquot sum) s(n): 34464088558080
- 12188138008320 is an abundant number, because the sum of its proper divisors (34464088558080) is greater than itself. Its abundance is 22275950549760
Bases of 12188138008320
- Binary: 101100010101110001011010001011101111000000002
- Hexadecimal: 0xB15C5A2EF00
- Base-36: 4BJ5IOJK0
Squares and roots of 12188138008320
- 12188138008320 squared (121881380083202) is 148550708109854616389222400
- 12188138008320 cubed (121881380083203) is 1810556531676569115962894732249530368000
-
The
square root of 12188138008320 is 3491151.3871959203 -
The
cube root of 12188138008320 is 23013.3117699679
Scales and comparisons
How big is 12188138008320?- 12,188,138,008,320 seconds is equal to 387,545 years, 4 weeks, 4 days, 3 hours, 12 minutes.
-
To count from 1 to 12,188,138,008,320 would take you about nine hundred sixty-eight thousand, eight hundred sixty-two 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 12188138008320 cubic inches would be around 1917.8 feet tall.
Recreational maths with 12188138008320
- 12188138008320 backwards is 02380083188121
- 12188138008320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12188138008320's digits is 45
- More coming soon!
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"Number 12188138008320 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 12188138008320 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/12188138008320/
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The information we have on file for 12188138008320 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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