12131983416960
12,131,983,416,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12131983416960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
12131983416960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 12131983416960:
27 × 32 × 5 × 112 × 41 × 127 × 3343
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 41 × 127 × 3343)See below for interesting mathematical facts about the number 12131983416960 from the Numbermatics database.
Names of 12131983416960
- Cardinal: 12131983416960 can be written as Twelve trillion, one hundred thirty-one billion, nine hundred eighty-three million, four hundred sixteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.213198341696 × 1013
Factors of 12131983416960
Divisors of 12131983416960
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 41 44 45 48 55 60 64 66 72 80 82 88 90 96 99 110 120 121 123 127 128 132 144 160 164 165 176 180 192 198 205 220 240 242 246 254 264 288 320 328 330 352 360 363 369 381 384 396 410 440 451 480 484 492 495 508 528 576 605 615 635 640 656 660 704 720 726 738 762 792 820 880 902 960 968 984 990 1016 1056 1089 1143 1152 1210 1230 1270 1312 1320 1353 1397 1408 1440 1452 1476 1524 1584 1640 1760 1804 1815 1845 1905 1920 1936 1968 1980 2032 2112 2178 2255 2286 2420 2460 2540 2624 2640 2706 2794 2880 2904 2952 3048 3168 3280 3343 3520 3608 3630 3690 3810 3872 3936 3960 4059 4064 4191 4224 4356 4510 4572 4840 4920 4961 5080 5207 5248 5280 5412 5445 5588 5715 5760 5808 5904 6096 6336 6560 6686 6765 6985 7040 7216 7260 7380 7620 7744 7872 7920 8118 8128 8382 8712 9020 9144 9680 9840 9922 10029 10160 10414 10560 10824 10890 11176 11430 11616 11808 12192 12573 12672 13120 13372 13530 13970 14432 14520 14760 14883 15240 15367 15488 15621 15744 15840 16236 16256 16715 16764 17424 18040 18288 19360 19680 19844 20058 20295 20320 20828 20955 21120 21648 21780 22352 22860 23232 23616 24384 24805 25146 26035 26240 26744 27060 27940 28864 29040 29520 29766 30087 30480 30734 31242 31680 32472 33430 33528 34848 36080 36576 36773 38720 39360 39688 40116 40590 40640 41656 41910 43296 43560 44649 44704 45720 46101 46464 46863 47232 48768 49610 50145 50292 52070 53488 54120 55880 57277 57728 58080 59040 59532 60174 60960 61468 62484 62865 63360 64944 66860 67056 69696 72160 73152 73546 74415 76835 77440 78105 78720 79376 80232 81180 81280 83312 83820 86592 87120 89298 89408 91440 92202 93726 99220 100290 100584 104140 106976 108240 110319 111760 114554 116160 118080 119064 120348 121920 122936 124968 125730 129888 133720 134112 137063 138303 139392 144320 146304 147092 148830 150435 153670 156210 158752 160464 162360 166624 167640 171831 173184 174240 178596 178816 182880 183865 184404 187452 198440 200580 201168 208280 213952 216480 220638 223245 223520 229108 230505 232320 234315 236160 238128 240696 243840 245872 249936 251460 259776 267440 268224 274126 276606 286385 288640 294184 297660 300870 307340 312420 317504 320928 324720 330957 333248 335280 343662 348480 357192 365760 367730 368808 374904 396880 401160 402336 404503 411189 416560 424561 427904 432960 441276 446490 447040 458216 461010 468630 476256 481392 491744 499872 502920 515493 519552 534880 536448 548252 551595 553212 572770 588368 595320 601740 614680 624840 630047 635008 641856 649440 661914 666496 670560 685315 687324 691515 696960 714384 731520 735460 737616 749808 793760 802320 804672 809006 822378 833120 849122 859155 865920 882552 892980 894080 916432 922020 937260 952512 962784 983488 999744 1005840 1030986 1069760 1096504 1103190 1106424 1145540 1176736 1190640 1203480 1213509 1229360 1233567 1249680 1260094 1273683 1283712 1298880 1323828 1341120 1370630 1374648 1383030 1428768 1470920 1475232 1499616 1507693 1587520 1604640 1609344 1618012 1644756 1654785 1666240 1698244 1718310 1765104 1785960 1832864 1844040 1874520 1890141 1905024 1925568 1966976 1999488 2011680 2022515 2055945 2061972 2122805 2139520 2193008 2206380 2212848 2291080 2353472 2381280 2406960 2427018 2458720 2467134 2499360 2520188 2547366 2577465 2597760 2647656 2682240 2741260 2749296 2766060 2857536 2941840 2950464 2999232 3015386 3150235 3175040 3209280 3236024 3289512 3309570 3332480 3396488 3436620 3530208 3571920 3640527 3665728 3688080 3749040 3780282 3821049 3851136 4023360 4045030 4111890 4123944 4245610 4386016 4412760 4425696 4523079 4582160 4670171 4706944 4762560 4813920 4854036 4917440 4934268 4998720 5040376 5094732 5154930 5295312 5482520 5498592 5532120 5670423 5715072 5883680 5900928 5998464 6030772 6067545 6167835 6300470 6368415 6418560 6472048 6579024 6619140 6792976 6873240 7060416 7143840 7281054 7331456 7376160 7498080 7538465 7560564 7642098 8046720 8090060 8223780 8247888 8491220 8772032 8825520 8851392 9046158 9164320 9340342 9450705 9525120 9627840 9708072 9834880 9868536 9997440 10080752 10189464 10309860 10590624 10965040 10997184 11064240 11340846 11767360 12061544 12135090 12335670 12600940 12736830 12944096 13158048 13238280 13569237 13585952 13746480 14010513 14120832 14287680 14562108 14752320 14996160 15076930 15121128 15284196 16180120 16447560 16495776 16584623 16982440 17407001 17544064 17651040 17702784 18092316 18202635 18328640 18680684 18901410 19105245 19255680 19416144 19737072 20161504 20378928 20619720 21181248 21930080 21994368 22128480 22615395 22681692 23350855 23534720 24123088 24270180 24671340 25201880 25473660 25888192 26316096 26476560 27138474 27171904 27492960 28021026 28352115 28575360 29124216 29504640 29992320 30153860 30242256 30568392 32360240 32895120 32991552 33169246 33964880 34814002 35302080 36184632 36405270 36657280 37361368 37802820 38210490 38832288 39474144 40323008 40757856 41239440 42031539 42362496 43860160 44256960 45230790 45363384 46701710 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1392560080 1447385280 1492616070 1494454720 1531816088 1541156430 1566630090 1592123808 1643900192 1671072096 1681261560 1723293099 1736862336 1793345664 1814535360 1849387716 1914770110 1990154760 2054875240 2088840120 2106247121 2122831744 2171077920 2228096128 2241682080 2297724132 2311734645 2329937280 2388185712 2445471360 2465850288 2506608144 2653539680 2690018496 2785120160 2872155165 2894770560 2985232140 2988909440 3063632176 3082312860 3133260180 3184247616 3287800384 3342144192 3362523120 3446586198 3629070720 3698775432 3829540220 3980309520 4109750480 4177680240 4212494242 4342155840 4483364160 4595448264 4623469290 4776371424 4931700576 5013216288 5307079360 5380036992 5570240320 5744310330 5970464280 6127264352 6164625720 6266520360 6318741363 6368495232 6575600768 6684288384 6725046240 6893172396 7397550864 7659080440 7960619040 8219500960 8355360480 8424988484 8616465495 8684311680 8966728320 9190896528 9246938580 9552742848 9863401152 10026432576 10531235605 10614158720 11140480640 11488620660 11940928560 12254528704 12329251440 12533040720 12637482726 13450092480 13786344792 14795101728 15318160880 15921238080 16439001920 16710720960 16849976968 17232930990 18381793056 18493877160 18956224089 19105485696 19726802304 20052865152 21062471210 22977241320 23881857120 24509057408 24658502880 25066081440 25274965452 26900184960 27572689584 29590203456 30636321760 31593706815 31842476160 32878003840 33421441920 33699953936 34465861980 36763586112 36987754320 37912448178 42124942420 45954482640 47763714240 49317005760 50132162880 50549930904 55145379168 59180406912 61272643520 63187413630 67399907872 68931723960 73527172224 73975508640 75824896356 84249884840 91908965280 94781120445 95527428480 98634011520 100264325760 101099861808 110290758336 122545287040 126374827260 134799815744 137863447920 147951017280 151649792712 168499769680 183817930560 189562240890 202199723616 220581516672 252749654520 269599631488 275726895840 295902034560 303299585424 336999539360 367635861120 379124481780 404399447232 505499309040 551453791680 606599170848 673999078720 758248963560 808798894464 1010998618080 1102907583360 1213198341696 1347998157440 1516497927120 2021997236160 2426396683392 3032995854240 4043994472320 6065991708480 12131983416960
- Sum of all divisors σ(n): 47556726497280
- Sum of proper divisors (its aliquot sum) s(n): 35424743080320
- 12131983416960 is an abundant number, because the sum of its proper divisors (35424743080320) is greater than itself. Its abundance is 23292759663360
Bases of 12131983416960
- Binary: 101100001000101100101000111111011110100000002
- Hexadecimal: 0xB08B28FDE80
- Base-36: 4ATCTORK0
Squares and roots of 12131983416960
- 12131983416960 squared (121319834169602) is 147185021629392437215641600
- 12131983416960 cubed (121319834169603) is 1785646241632687967220201846726721536000
-
The
square root of 12131983416960 is 3483099.6851884673 -
The
cube root of 12131983416960 is 22977.9141591757
Scales and comparisons
How big is 12131983416960?- 12,131,983,416,960 seconds is equal to 385,759 years, 28 weeks, 2 days, 17 hours, 36 minutes.
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To count from 1 to 12,131,983,416,960 would take you about nine hundred sixty-four thousand, three hundred ninety-eight 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 12131983416960 cubic inches would be around 1914.8 feet tall.
Recreational maths with 12131983416960
- 12131983416960 backwards is 06961438913121
- The number of decimal digits it has is: 14
- The sum of 12131983416960's digits is 54
- More coming soon!
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The information we have on file for 12131983416960 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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