138117443421634560
138,117,443,421,634,560 is an even composite number composed of six prime numbers multiplied together.
What does the number 138117443421634560 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138117443421634560 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138117443421634560:
215 × 32 × 5 × 132 × 59 × 2113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 59 × 211 × 211 × 211)See below for interesting mathematical facts about the number 138117443421634560 from the Numbermatics database.
Names of 138117443421634560
- Cardinal: 138117443421634560 can be written as One hundred thirty-eight quadrillion, one hundred seventeen trillion, four hundred forty-three billion, four hundred twenty-one million, six hundred thirty-four thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3811744342163456 × 1017
Factors of 138117443421634560
Divisors of 138117443421634560
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 59 60 64 65 72 78 80 90 96 104 117 118 120 128 130 144 156 160 169 177 180 192 195 208 211 234 236 240 256 260 288 295 312 320 338 354 360 384 390 416 422 468 472 480 507 512 520 531 576 585 590 624 633 640 676 708 720 767 768 780 832 844 845 885 936 944 960 1014 1024 1040 1055 1062 1152 1170 1180 1248 1266 1280 1352 1416 1440 1521 1534 1536 1560 1664 1688 1690 1770 1872 1888 1899 1920 2028 2048 2080 2110 2124 2301 2304 2340 2360 2496 2532 2535 2560 2655 2704 2743 2832 2880 3042 3068 3072 3120 3165 3328 3376 3380 3540 3744 3776 3798 3835 3840 4056 4096 4160 4220 4248 4602 4608 4680 4720 4992 5064 5070 5120 5310 5408 5486 5664 5760 6084 6136 6144 6240 6330 6656 6752 6760 6903 7080 7488 7552 7596 7605 7670 7680 8112 8192 8229 8320 8440 8496 9204 9216 9360 9440 9495 9971 9984 10128 10140 10240 10620 10816 10972 11328 11505 11520 12168 12272 12288 12449 12480 12660 13312 13504 13520 13715 13806 14160 14976 15104 15192 15210 15340 15360 16224 16384 16458 16640 16880 16992 18408 18432 18720 18880 18990 19942 19968 20256 20280 20480 21240 21632 21944 22656 23010 23040 24336 24544 24576 24687 24898 24960 25320 26624 27008 27040 27430 27612 28320 29913 29952 30208 30384 30420 30680 30720 32448 32768 32916 33280 33760 33984 34515 35659 36816 36864 37347 37440 37760 37980 39884 39936 40512 40560 40960 41145 42480 43264 43888 44521 45312 46020 46080 48672 49088 49152 49374 49796 49855 49920 50640 53248 54016 54080 54860 55224 56640 59826 59904 60416 60768 60840 61360 61440 62245 64896 65832 66560 67520 67968 69030 71318 73632 73728 74694 74880 75520 75960 79768 79872 81024 81120 81920 82290 84960 86528 87776 89042 89739 90624 92040 92160 97344 98176 98304 98748 99592 99710 99840 101280 106496 106977 108032 108160 109720 110448 112041 113280 119652 119808 120832 121536 121680 122720 122880 123435 124490 129792 131664 133120 133563 135040 135936 138060 142636 147264 147456 149388 149565 149760 151040 151920 159536 159744 161837 162048 162240 163840 164580 169920 173056 175552 178084 178295 179478 181248 184080 184320 186735 194688 196352 197496 199184 199420 199680 202560 212992 213954 216064 216320 219440 220896 222605 224082 226560 239304 239616 241664 243072 243360 245440 245760 246870 248980 259584 263328 266240 267126 270080 271872 276120 285272 294528 294912 298776 299130 299520 302080 303840 319072 319488 320931 323674 324096 324480 329160 339840 346112 351104 356168 356590 358956 362496 368160 368640 373470 389376 392704 394992 398368 398840 399360 400689 405120 425984 427908 432128 432640 438880 441792 445210 448164 448695 453120 478608 479232 483328 485511 486144 486720 490880 491520 493740 497960 519168 526656 532480 534252 534885 540160 543744 552240 560205 570544 578773 589056 597552 598260 599040 604160 607680 638144 638976 641862 647348 648192 648960 658320 667815 679680 692224 702208 712336 713180 717912 724992 736320 737280 746940 778752 785408 789984 796736 797680 798720 801378 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11989361408128 12004992909312 12192570923520 12588173844480 12769734044160 13005408985088 13488031584144 13621049647104 13637188331520 13833878547840 13851914895360 14546334220288 14631085108224 14756137117696 14986701760160 15006241136640 16256761231360 16364625997824 16600654257408 16784231792640 16860039480180 17026312058880 17984042112192 18007489363968 18161399529472 18182917775360 18288856385280 18445171397120 19508113477632 20008321515520 20431574470656 20455782497280 20750817821760 21819501330432 22134205676544 22480052640240 22509361704960 22701749411840 23978722816256 24385141847040 25176347688960 25539468088320 26010817970176 26976063168288 27242099294208 27274376663040 27667757095680 29262170216448 29512274235392 29973403520320 30012482273280 32513522462720 32729251995648 33201308514816 33720078960360 34052624117760 35968084224384 36014978727936 36365835550720 36577712770560 36890342794240 39016226955264 40863148941312 40911564994560 41501635643520 43639002660864 44268411353088 44960105280480 45018723409920 45403498823680 47957445632512 48770283694080 50352695377920 51078936176640 52021635940352 53952126336576 54484198588416 54548753326080 55335514191360 58524340432896 59024548470784 59946807040640 60024964546560 65027044925440 65458503991296 66402617029632 67440157920720 68105248235520 71936168448768 72731671101440 73155425541120 73780685588480 78032453910528 81726297882624 81823129989120 83003271287040 88536822706176 89920210560960 90037446819840 90806997647360 95914891265024 97540567388160 102157872353280 107904252673152 109097506652160 110671028382720 117048680865792 118049096941568 119893614081280 130054089850880 130917007982592 132805234059264 134880315841440 136210496471040 143872336897536 146310851082240 147561371176960 156064907821056 163452595765248 163646259978240 166006542574080 177073645412352 179840421121920 180074893639680 191829782530048 195081134776320 204315744706560 215808505346304 218195013304320 221342056765440 234097361731584 236098193883136 239787228162560 260108179701760 265610468118528 269760631682880 272420992942080 287744673795072 292621702164480 295122742353920 327292519956480 332013085148160 354147290824704 359680842243840 383659565060096 390162269552640 408631489413120 431617010692608 442684113530880 468194723463168 479574456325120 531220936237056 539521263365760 575489347590144 585243404328960 590245484707840 654585039912960 664026170296320 708294581649408 719361684487680 767319130120192 780324539105280 817262978826240 863234021385216 885368227061760 959148912650240 1062441872474112 1079042526731520 1150978695180288 1170486808657920 1180490969415680 1328052340592640 1438723368975360 1534638260240384 1726468042770432 1770736454123520 1918297825300480 2124883744948224 2158085053463040 2301957390360576 2340973617315840 2656104681185280 2877446737950720 3069276520480768 3452936085540864 3541472908247040 3836595650600960 4316170106926080 4603914780721152 5312209362370560 5754893475901440 6905872171081728 7673191301201920 8632340213852160 9207829561442304 10624418724741120 11509786951802880 13811744342163456 15346382602403840 17264680427704320 23019573903605760 27623488684326912 34529360855408640 46039147807211520 69058721710817280 138117443421634560
- Sum of all divisors σ(n): 529761963177345600
- Sum of proper divisors (its aliquot sum) s(n): 391644519755711040
- 138117443421634560 is an abundant number, because the sum of its proper divisors (391644519755711040) is greater than itself. Its abundance is 253527076334076480
Bases of 138117443421634560
- Binary: 1111010101011000100010101010000000110111010000000000000002
- Hexadecimal: 0x1EAB115406E8000
- Base-36: 11RYJPKEJ280
Squares and roots of 138117443421634560
- 138117443421634560 squared (1381174434216345602) is 19076428177328423793035862186393600
- 138117443421634560 cubed (1381174434216345603) is 2634787489469033866433946433955280240745503522816000
-
The
square root of 138117443421634560 is 371641552.3345506637 -
The
cube root of 138117443421634560 is 516911.4794209741
Scales and comparisons
How big is 138117443421634560?- 138,117,443,421,634,560 seconds is equal to 4,391,707,475 years, 26 weeks, 1 day, 17 hours, 36 minutes.
-
To count from 1 to 138,117,443,421,634,560 would take you about thirteen billion, one hundred seventy-five million, one hundred twenty-two thousand, four hundred twenty-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 138117443421634560 cubic inches would be around 43076 feet tall.
Recreational maths with 138117443421634560
- 138117443421634560 backwards is 065436124344711831
- The number of decimal digits it has is: 18
- The sum of 138117443421634560's digits is 63
- More coming soon!
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"Number 138117443421634560 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138117443421634560 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138117443421634560/
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The information we have on file for 138117443421634560 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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