11438517664000
11,438,517,664,000 is an even composite number composed of four prime numbers multiplied together.
11438517664000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 11438517664000:
28 × 53 × 74 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 53 × 53 × 53)See below for interesting mathematical facts about the number 11438517664000 from the Numbermatics database.
Names of 11438517664000
- Cardinal: 11438517664000 can be written as Eleven trillion, four hundred thirty-eight billion, five hundred seventeen million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.1438517664 × 1013
Factors of 11438517664000
Divisors of 11438517664000
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 53 56 64 70 80 98 100 106 112 125 128 140 160 175 196 200 212 224 245 250 256 265 280 320 343 350 371 392 400 424 448 490 500 530 560 640 686 700 742 784 800 848 875 896 980 1000 1060 1120 1225 1280 1325 1372 1400 1484 1568 1600 1696 1715 1750 1792 1855 1960 2000 2120 2240 2401 2450 2597 2650 2744 2800 2809 2968 3136 3200 3392 3430 3500 3710 3920 4000 4240 4480 4802 4900 5194 5300 5488 5600 5618 5936 6125 6272 6400 6625 6784 6860 7000 7420 7840 8000 8480 8575 8960 9275 9604 9800 10388 10600 10976 11200 11236 11872 12005 12250 12544 12985 13250 13568 13720 14000 14045 14840 15680 16000 16960 17150 18179 18550 19208 19600 19663 20776 21200 21952 22400 22472 23744 24010 24500 25970 26500 27440 28000 28090 29680 31360 32000 33920 34300 36358 37100 38416 39200 39326 41552 42400 42875 43904 44800 44944 46375 47488 48020 49000 51940 53000 54880 56000 56180 59360 60025 62720 64925 67840 68600 70225 72716 74200 76832 78400 78652 83104 84800 85750 87808 89888 90895 92750 94976 96040 98000 98315 103880 106000 109760 112000 112360 118720 120050 127253 129850 137200 137641 140450 145432 148400 148877 153664 156800 157304 166208 169600 171500 179776 181790 185500 192080 196000 196630 207760 212000 219520 224000 224720 237440 240100 254506 259700 274400 275282 280900 290864 296800 297754 300125 307328 313600 314608 324625 332416 339200 343000 351125 359552 363580 371000 384160 392000 393260 415520 424000 439040 449440 454475 474880 480200 491575 509012 519400 548800 550564 561800 581728 593600 595508 600250 614656 629216 636265 649250 664832 686000 688205 702250 719104 727160 742000 744385 768320 784000 786520 831040 848000 898880 908950 960400 963487 983150 1018024 1038800 1042139 1097600 1101128 1123600 1163456 1187200 1191016 1200500 1258432 1272530 1298500 1372000 1376410 1404500 1454320 1484000 1488770 1536640 1568000 1573040 1662080 1696000 1797760 1817900 1920800 1926974 1966300 2036048 2077600 2084278 2195200 2202256 2247200 2272375 2326912 2374400 2382032 2401000 2457875 2516864 2545060 2597000 2744000 2752820 2809000 2908640 2968000 2977540 3073280 3146080 3181325 3324160 3441025 3595520 3635800 3721925 3841600 3853948 3932600 4072096 4155200 4168556 4404512 4494400 4544750 4653824 4764064 4802000 4817435 4915750 5033728 5090120 5194000 5210695 5488000 5505640 5618000 5817280 5936000 5955080 6292160 6362650 6744409 6882050 7271600 7294973 7443850 7683200 7707896 7865200 8144192 8310400 8337112 8809024 8988800 9089500 9528128 9604000 9634870 9831500 10180240 10388000 10421390 10976000 11011280 11236000 11634560 11872000 11910160 12584320 12725300 13488818 13764100 14543200 14589946 14887700 15366400 15415792 15730400 15906625 16288384 16620800 16674224 17205125 17618048 17977600 18179000 18609625 19056256 19208000 19269740 19663000 20360480 20776000 20842780 22022560 22472000 23269120 23820320 24087175 25168640 25450600 26053475 26977636 27528200 29086400 29179892 29775400 30831584 31460800 31813250 32576768 33348448 33722045 34410250 35236096 36358000 36474865 37219250 38112512 38416000 38539480 39326000 40720960 41552000 41685560 44045120 44944000 47640640 48174350 50901200 51064811 52106950 53955272 55056400 58172800 58359784 59550800 61663168 62921600 63626500 66696896 67444090 68820500 72716000 72949730 74438500 76832000 77078960 78652000 81441920 83104000 83371120 88090240 89888000 95281280 96348700 101802400 102129622 104213900 107910544 110112800 116345600 116719568 119101600 120435875 123326336 125843200 127253000 130267375 133393792 134888180 137641000 145432000 145899460 148877000 154157920 157304000 162883840 166742240 168610225 176180480 182374325 190562560 192697400 203604800 204259244 208427800 215821088 220225600 233439136 238203200 240871750 246652672 254506000 255324055 260534750 266787584 269776360 275282000 290864000 291798920 297754000 308315840 314608000 333484480 337220450 357453677 364748650 385394800 407209600 408518488 416855600 431642176 440451200 466878272 476406400 481743500 509012000 510648110 521069500 539552720 550564000 581728000 583597840 595508000 616631680 629216000 666968960 674440900 714907354 729497300 770789600 814419200 817036976 833711200 843051125 863284352 880902400 911871625 933756544 952812800 963487000 1018024000 1021296220 1042139000 1079105440 1101128000 1167195680 1191016000 1233263360 1276620275 1333937920 1348881800 1429814708 1458994600 1541579200 1634073952 1667422400 1686102250 1726568704 1787268385 1823743250 1867513088 1926974000 2036048000 2042592440 2084278000 2158210880 2202256000 2334391360 2382032000 2553240550 2697763600 2859629416 2917989200 3083158400 3268147904 3334844800 3372204500 3574536770 3647486500 3853948000 4072096000 4085184880 4168556000 4316421760 4404512000 4668782720 4764064000 5106481100 5395527200 5719258832 5835978400 6166316800 6383101375 6536295808 6669689600 6744409000 7149073540 7294973000 7707896000 8170369760 8337112000 8632843520 8936341925 9337565440 10212962200 10791054400 11438517664 11671956800 12766202750 13072591616 13488818000 14298147080 14589946000 15415792000 16340739520 16674224000 17872683850 20425924400 21582108800 22877035328 23343913600 25532405500 26977636000 28596294160 29179892000 30831584000 32681479040 33348448000 35745367700 40851848800 43164217600 44681709625 45754070656 46687827200 51064811000 53955272000 57192588320 58359784000 65362958080 71490735400 81703697600 89363419250 91508141312 102129622000 107910544000 114385176640 116719568000 142981470800 163407395200 178726838500 204259244000 215821088000 228770353280 233439136000 285962941600 326814790400 357453677000 408518488000 457540706560 571925883200 714907354000 817036976000 1143851766400 1429814708000 1634073952000 2287703532800 2859629416000 5719258832000 11438517664000
- Sum of all divisors σ(n): 33881192457840
- Sum of proper divisors (its aliquot sum) s(n): 22442674793840
- 11438517664000 is an abundant number, because the sum of its proper divisors (22442674793840) is greater than itself. Its abundance is 11004157129840
Bases of 11438517664000
- Binary: 101001100111001111001100100000111001000000002
- Hexadecimal: 0xA673CC83900
- Base-36: 41YS6301S
Squares and roots of 11438517664000
- 11438517664000 squared (114385176640002) is 130839686349640016896000000
- 11438517664000 cubed (114385176640003) is 1496612063462577013306154450944000000000
-
The
square root of 11438517664000 is 3382087.7670456749 -
The
cube root of 11438517664000 is 22531.4901713175
Scales and comparisons
How big is 11438517664000?- 11,438,517,664,000 seconds is equal to 363,709 years, 24 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 11,438,517,664,000 would take you about nine hundred nine thousand, two hundred seventy-three 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 11438517664000 cubic inches would be around 1877.6 feet tall.
Recreational maths with 11438517664000
- 11438517664000 backwards is 00046671583411
- The number of decimal digits it has is: 14
- The sum of 11438517664000's digits is 46
- More coming soon!
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