12648131493120
12,648,131,493,120 is an even composite number composed of seven prime numbers multiplied together.
12648131493120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12648131493120:
28 × 35 × 5 × 29 × 61 × 127 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 29 × 61 × 127 × 181)See below for interesting mathematical facts about the number 12648131493120 from the Numbermatics database.
Names of 12648131493120
- Cardinal: 12648131493120 can be written as Twelve trillion, six hundred forty-eight billion, one hundred thirty-one million, four hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.264813149312 × 1013
Factors of 12648131493120
Divisors of 12648131493120
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 45 48 54 58 60 61 64 72 80 81 87 90 96 108 116 120 122 127 128 135 144 145 160 162 174 180 181 183 192 216 232 240 243 244 254 256 261 270 288 290 305 320 324 348 360 362 366 381 384 405 432 435 464 480 486 488 508 522 540 543 549 576 580 610 635 640 648 696 720 724 732 762 768 783 810 864 870 905 915 928 960 972 976 1016 1044 1080 1086 1098 1143 1152 1160 1215 1220 1270 1280 1296 1305 1392 1440 1448 1464 1524 1566 1620 1629 1647 1728 1740 1769 1810 1830 1856 1905 1920 1944 1952 2032 2088 2160 2172 2196 2286 2304 2320 2349 2430 2440 2540 2592 2610 2715 2745 2784 2880 2896 2928 3048 3132 3240 3258 3294 3429 3456 3480 3538 3620 3660 3683 3712 3810 3840 3888 3904 3915 4064 4176 4320 4344 4392 4572 4640 4698 4860 4880 4887 4941 5080 5184 5220 5249 5307 5430 5490 5568 5715 5760 5792 5856 6096 6264 6480 6516 6588 6858 6912 6960 7047 7076 7240 7320 7366 7424 7620 7747 7776 7808 7830 8128 8145 8235 8352 8640 8688 8784 8845 9144 9280 9396 9720 9760 9774 9882 10160 10287 10368 10440 10498 10614 10860 10980 11041 11049 11136 11430 11520 11584 11712 11745 12192 12528 12960 13032 13176 13716 13920 14094 14152 14480 14640 14661 14732 14823 15240 15494 15552 15616 15660 15747 15921 16256 16290 16470 16704 17145 17280 17376 17568 17690 18288 18415 18560 18792 19440 19520 19548 19764 20320 20574 20736 20880 20996 21228 21720 21960 22082 22098 22272 22860 22987 23168 23241 23424 23490 24384 24435 24705 25056 25920 26064 26245 26352 26535 27432 27840 28188 28304 28960 29280 29322 29464 29646 30480 30861 30988 31104 31320 31494 31842 32512 32580 32940 33123 33147 33408 34290 34560 34752 35136 35235 35380 36576 36830 37120 37584 38735 38880 39040 39096 39528 40640 41148 41760 41992 42456 43440 43920 43983 44164 44196 45720 45974 46336 46482 46848 46980 47241 47763 48768 48870 49410 50112 51435 51840 52128 52490 52704 53070 54864 55205 55245 55680 56376 56608 57920 58560 58644 58928 59292 60960 61722 61976 62208 62640 62988 63684 65160 65880 66246 66294 66816 68580 68961 69504 69723 70272 70470 70760 73152 73305 73660 74115 75168 77470 77760 78080 78192 78735 79056 79605 81280 82296 83520 83984 84912 86880 87840 87966 88328 88392 91440 91948 92964 93960 94482 95526 97536 97740 98820 99369 99441 100224 102870 103680 104256 104980 105408 106140 109728 110410 110490 111360 112752 113216 114935 115840 116205 117120 117288 117856 118584 121920 123444 123952 125280 125976 127368 130320 131760 132492 132588 137160 137922 139008 139446 140544 140940 141520 141723 143289 146304 146610 147320 148230 150336 154305 154940 155520 156384 157470 158112 159210 162560 164592 165615 165735 167040 167968 169824 173760 175680 175932 176656 176784 182880 183896 185928 187920 188964 191052 195480 197640 198738 198882 200448 205740 206883 208512 209169 209960 210816 212280 219456 219915 220820 220980 224663 225504 226432 229870 231680 232410 234240 234576 235712 236205 237168 238815 243840 246888 247904 250560 251952 254736 260640 263520 264984 265176 274320 275844 278892 281880 283040 283446 286578 292608 293220 294640 296460 298107 298323 300672 308610 309880 311040 312768 314940 316224 318420 320189 329184 331230 331470 334080 335936 339648 344805 347520 348615 351360 351864 353312 353568 365760 367792 371856 375840 377928 382104 390960 395280 397476 397764 411480 413766 417024 418338 419920 421632 424560 425169 429867 438912 439830 441640 441960 449326 451008 452864 459740 464820 469152 471424 472410 474336 477630 487680 493776 495808 496845 497205 501120 503904 509472 521280 527040 529968 530352 548640 551688 557784 563760 566080 566892 573156 586440 589280 592920 596214 596646 601344 617220 619760 620649 625536 627507 629880 632448 636840 640378 658368 662460 662940 666623 671872 673989 679296 689610 695040 697230 702720 703728 706624 707136 708615 716445 731520 735584 743712 751680 755856 764208 781920 790560 794952 795528 822960 827532 836676 839840 849120 850338 859734 877824 879660 883280 883920 894321 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3903744288 4038356160 4149649440 4319717040 4367448720 4391712324 4543150680 4607698176 4658611968 4846027392 4879680360 4979579328 5183660448 5204992384 5384474880 5451780816 5489640405 5532865920 5759622720 5823264960 5855616432 6057534240 6224474160 6479575560 6506240480 6587568486 6639439104 6814726020 6911547264 6987917952 7149876480 7269041088 7319520540 7679496960 7764353280 7807488576 8076712320 8299298880 8639434080 8734897440 8783424648 9086301360 9692054784 9759360720 9881352729 9959158656 10367320896 10409984768 10903561632 10979280810 11065731840 11519245440 11646529920 11711232864 12115068480 12448948320 12959151120 13012480960 13175136972 13629452040 13823094528 13975835904 14538082176 14639041080 15614977152 16153424640 16468921215 16598597760 17278868160 17469794880 17566849296 18172602720 19518721440 19762705458 19918317312 20734641792 21807123264 21958561620 23038490880 23293059840 23422465728 24230136960 24897896640 25918302240 26024961920 26350273944 27258904080 29076164352 29278082160 31229954304 32937842430 33197195520 34557736320 34939589760 35133698592 36345205440 39037442880 39525410916 41469283584 43614246528 43917123240 46844931456 48460273920 49406763645 49795793280 51836604480 52049923840 52700547888 54517808160 58556164320 65875684860 69115472640 69879179520 70267397184 72690410880 78074885760 79050821832 87228493056 87834246480 93689862912 98813527290 99591586560 103673208960 105401095776 109035616320 117112328640 131751369720 140534794368 145380821760 156149771520 158101643664 175668492960 197627054580 207346417920 210802191552 218071232640 234224657280 263502739440 281069588736 316203287328 351336985920 395254109160 421604383104 436142465280 468449314560 527005478880 632406574656 702673971840 790508218320 843208766208 1054010957760 1264813149312 1405347943680 1581016436640 2108021915520 2529626298624 3162032873280 4216043831040 6324065746560 12648131493120
- Sum of all divisors σ(n): 48357944893440
- Sum of proper divisors (its aliquot sum) s(n): 35709813400320
- 12648131493120 is an abundant number, because the sum of its proper divisors (35709813400320) is greater than itself. Its abundance is 23061681907200
Bases of 12648131493120
- Binary: 101110000000110111110110001001111101000000002
- Hexadecimal: 0xB80DF627D00
- Base-36: 4HEGYXC00
Squares and roots of 12648131493120
- 12648131493120 squared (126481314931202) is 159975230267253960607334400
- 12648131493120 cubed (126481314931203) is 2023387748062378653418678106695139328000
-
The
square root of 12648131493120 is 3556421.1636306519 -
The
cube root of 12648131493120 is 23299.2597977627
Scales and comparisons
How big is 12648131493120?- 12,648,131,493,120 seconds is equal to 402,171 years, 23 weeks, 5 days, 19 hours, 12 minutes.
-
To count from 1 to 12,648,131,493,120 would take you about one million, five thousand, four hundred twenty-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 12648131493120 cubic inches would be around 1941.6 feet tall.
Recreational maths with 12648131493120
- 12648131493120 backwards is 02139413184621
- 12648131493120 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12648131493120's digits is 45
- More coming soon!
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"Number 12648131493120 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 12648131493120 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/12648131493120/
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The information we have on file for 12648131493120 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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