1338488546131968
1,338,488,546,131,968 is an even composite number composed of six prime numbers multiplied together.
1338488546131968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty-four divisors.
Prime factorization of 1338488546131968:
218 × 3 × 7 × 112 × 173 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 17 × 17 × 17 × 409)See below for interesting mathematical facts about the number 1338488546131968 from the Numbermatics database.
Names of 1338488546131968
- Cardinal: 1338488546131968 can be written as One quadrillion, three hundred thirty-eight trillion, four hundred eighty-eight billion, five hundred forty-six million, one hundred thirty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.338488546131968 × 1015
Factors of 1338488546131968
Divisors of 1338488546131968
- Number of divisors d(n): 1824
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 42 44 48 51 56 64 66 68 77 84 88 96 102 112 119 121 128 132 136 154 168 176 187 192 204 224 231 238 242 256 264 272 289 308 336 352 357 363 374 384 408 409 448 462 476 484 512 528 544 561 578 616 672 704 714 726 748 768 816 818 847 867 896 924 952 968 1024 1056 1088 1122 1156 1227 1232 1309 1344 1408 1428 1452 1496 1536 1632 1636 1694 1734 1792 1848 1904 1936 2023 2048 2057 2112 2176 2244 2312 2454 2464 2541 2618 2688 2816 2856 2863 2904 2992 3072 3179 3264 3272 3388 3468 3584 3696 3808 3872 3927 4046 4096 4114 4224 4352 4488 4499 4624 4908 4913 4928 5082 5236 5376 5632 5712 5726 5808 5984 6069 6144 6171 6358 6528 6544 6776 6936 6953 7168 7392 7616 7744 7854 8092 8192 8228 8448 8589 8704 8976 8998 9248 9537 9816 9826 9856 10164 10472 10752 11264 11424 11452 11616 11968 12138 12288 12342 12716 13056 13088 13497 13552 13872 13906 14336 14399 14739 14784 15232 15488 15708 16184 16384 16456 16896 17178 17408 17952 17996 18496 19074 19632 19652 19712 20328 20859 20944 21504 22253 22528 22848 22904 23232 23936 24276 24576 24684 25432 26112 26176 26994 27104 27744 27812 28672 28798 29478 29568 30464 30976 31416 31493 32368 32768 32912 33792 34356 34391 34816 34969 35904 35992 36992 38148 39264 39304 39424 40656 41718 41888 43008 43197 44506 45056 45696 45808 46464 47872 48552 48671 49152 49368 49489 50864 52224 52352 53988 54043 54208 55488 55624 57344 57596 58956 59136 60928 61952 62832 62986 64736 65536 65824 66759 67584 68712 68782 69632 69938 71808 71984 73984 76296 76483 78528 78608 78848 81312 83436 83776 86016 86394 89012 90112 91392 91616 92928 94479 95744 97104 97342 98304 98736 98978 101728 103173 104448 104704 104907 107976 108086 108416 110976 111248 114688 115192 117912 118201 118272 121856 123904 125664 125972 129472 131072 131648 133518 135168 137424 137564 139264 139876 143616 143968 146013 147968 148467 152592 152966 157056 157216 157696 162129 162624 166872 167552 172032 172788 178024 180224 182784 183232 185856 188958 191488 194208 194684 196608 197472 197956 203456 206346 208896 209408 209814 215952 216172 216832 221952 222496 229376 229449 230384 235824 236402 236544 243712 244783 247808 251328 251944 258944 262144 263296 267036 270336 274848 275128 278528 279752 287232 287936 292026 295936 296934 305184 305932 314112 314432 315392 324258 325248 333744 335104 344064 345576 346423 354603 356048 360448 365568 366464 371712 377916 378301 382976 388416 389368 393216 394944 395912 406912 412692 417792 418816 419628 431904 432344 433664 443904 444992 458752 458898 460768 471648 472804 473088 487424 489566 495616 502656 503888 517888 526592 534072 535381 540672 549696 550256 557056 559504 574464 575872 584052 591872 593868 594473 610368 611864 628224 628864 630784 648516 650496 667488 670208 688128 691152 692846 709206 712096 720896 731136 732928 734349 743424 755832 756602 765952 776832 778736 786432 789888 791824 813824 825384 827407 835584 837632 839256 841313 863808 864688 867328 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10024779776 10167177216 10211857194 10338054144 10625286144 10651328512 10802625792 10984182528 11317036544 11323834368 11351588864 11619631104 11670693936 12031574016 12061063168 12345858048 12383551488 12396167168 12758810624 12783547392 12814879616 12973244416 13157523456 13523091456 13556236288 13615809592 13750370304 13784072192 13979868672 14167048192 14403501056 14609768448 14645576704 14853610464 15037169664 15492841472 15560925248 15976992768 16042098688 16461144064 16975554816 17027383296 17044729856 17500471296 17543364608 18091594752 18594250752 18639824896 19138215936 19222319424 19459866624 19479691264 19804813952 20049559552 20334354432 20423714388 20676108288 21250572288 21302657024 21605251584 21968365056 22634073088 22703177728 23239262208 23341387872 24063148032 24122126336 24691716096 24767102976 24792334336 25567094784 25629759232 26315046912 27046182912 27112472576 27231619184 27500740608 27568144384 27959737344 28807002112 29219536896 29291153408 29707220928 30074339328 30985682944 31121850496 31953985536 32084197376 32922288128 33951109632 34054766592 34089459712 35086729216 36183189504 37188501504 37279649792 38276431872 38444638848 38919733248 38959382528 39609627904 40668708864 40847428776 41352216576 42501144576 42605314048 43210503168 43936730112 45268146176 45406355456 46478524416 46682775744 48126296064 48244252672 49383432192 49584668672 51134189568 51259518464 52630093824 54224945152 54463238368 55136288768 55919474688 57614004224 58439073792 58582306816 59414441856 60148678656 62243700992 63907971072 64168394752 65844576256 67902219264 68109533184 68178919424 70173458432 72366379008 74377003008 74559299584 76889277696 77918765056 79219255808 81337417728 81694857552 82704433152 85210628096 86421006336 87873460224 90536292352 90812710912 92957048832 93365551488 96252592128 96488505344 98766864384 99169337344 102268379136 102519036928 105260187648 108449890304 108926476736 110272577536 111838949376 115228008448 116878147584 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653558860416 661635465216 691368050688 702987681792 724290338816 746924411904 771908042752 790134915072 818147033088 820152295424 871411813888 894711595008 921824067584 937316909056 950631069696 995899215872 1022527537152 1086435508224 1090862710784 1157862064128 1192948793344 1230228443136 1267508092928 1307117720832 1382736101376 1405975363584 1448580677632 1493848823808 1543816085504 1580269830144 1636294066176 1640304590848 1742823627776 1789423190016 1843648135168 1874633818112 1901262139392 1991798431744 2172871016448 2315724128256 2385897586688 2460456886272 2535016185856 2614235441664 2765472202752 2811950727168 2897161355264 2987697647616 3272588132352 3280609181696 3485647255552 3578846380032 3687296270336 3749267636224 3802524278784 3983596863488 4345742032896 4631448256512 4920913772544 5070032371712 5228470883328 5530944405504 5623901454336 5794322710528 5975395295232 6561218363392 6971294511104 7157692760064 7605048557568 7967193726976 8691484065792 9841827545088 10140064743424 10456941766656 11061888811008 11247802908672 11950790590464 13122436726784 13942589022208 15210097115136 15934387453952 17382968131584 19683655090176 20280129486848 20913883533312 23901581180928 26244873453568 27885178044416 30420194230272 31868774907904 39367310180352 40560258973696 41827767066624 47803162361856 55770356088832 60840388460544 63737549815808 78734620360704 83655534133248 95606324723712 111540712177664 121680776921088 167311068266496 191212649447424 223081424355328 334622136532992 446162848710656 669244273065984 1338488546131968
- Sum of all divisors σ(n): 4775568383174400
- Sum of proper divisors (its aliquot sum) s(n): 3437079837042432
- 1338488546131968 is an abundant number, because the sum of its proper divisors (3437079837042432) is greater than itself. Its abundance is 2098591290910464
Bases of 1338488546131968
- Binary: 1001100000101011001001001100101010000000000000000002
- Hexadecimal: 0x4C15926540000
- Base-36: D6GD5DM7EO
Squares and roots of 1338488546131968
- 1338488546131968 squared (13384885461319682) is 1791551588126469428894471553024
- 1338488546131968 cubed (13384885461319683) is 2397971280511816409976285534037801285013471232
-
The
square root of 1338488546131968 is 36585359.7239656507 -
The
cube root of 1338488546131968 is 110205.9103500747
Scales and comparisons
How big is 1338488546131968?- 1,338,488,546,131,968 seconds is equal to 42,559,795 years, 28 weeks, 4 days, 5 hours, 32 minutes, 48 seconds.
-
To count from 1 to 1,338,488,546,131,968 would take you about one hundred twenty-seven million, six hundred seventy-nine thousand, three hundred eighty-six 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 1338488546131968 cubic inches would be around 9183.8 feet tall.
Recreational maths with 1338488546131968
- 1338488546131968 backwards is 8691316458848331
- The number of decimal digits it has is: 16
- The sum of 1338488546131968's digits is 78
- More coming soon!
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"Number 1338488546131968 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 1338488546131968 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/1338488546131968/
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The information we have on file for 1338488546131968 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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