13638368745168160
13,638,368,745,168,160 is an even composite number composed of six prime numbers multiplied together.
What does the number 13638368745168160 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
13638368745168160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13638368745168160:
25 × 5 × 72 × 192 × 612 × 1093
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 19 × 19 × 61 × 61 × 109 × 109 × 109)See below for interesting mathematical facts about the number 13638368745168160 from the Numbermatics database.
Names of 13638368745168160
- Cardinal: 13638368745168160 can be written as Thirteen quadrillion, six hundred thirty-eight trillion, three hundred sixty-eight billion, seven hundred forty-five million, one hundred sixty-eight thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.363836874516816 × 1016
Factors of 13638368745168160
Divisors of 13638368745168160
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 61 70 76 80 95 98 109 112 122 133 140 152 160 190 196 218 224 244 245 266 280 304 305 361 380 392 427 436 488 490 532 545 560 608 610 665 722 760 763 784 854 872 931 976 980 1064 1090 1120 1159 1220 1330 1444 1520 1526 1568 1708 1744 1805 1862 1952 1960 2071 2128 2135 2180 2318 2440 2527 2660 2888 2989 3040 3052 3416 3488 3610 3721 3724 3815 3920 4142 4256 4270 4360 4636 4655 4880 5054 5320 5341 5776 5795 5978 6104 6649 6832 7220 7442 7448 7630 7840 8113 8284 8540 8720 9272 9310 9760 10108 10355 10640 10682 11552 11590 11881 11956 12208 12635 13298 13664 14440 14497 14884 14896 14945 15260 16226 16568 17080 17440 17689 18544 18605 18620 20216 20710 21280 21364 22021 23180 23762 23912 24416 25270 26047 26596 26705 28880 28994 29768 29792 29890 30520 32452 33136 33245 34160 35378 37088 37210 37240 39349 40432 40565 41420 42728 44042 46360 46543 47524 47824 50540 52094 53192 53410 56791 57760 57988 59405 59536 59780 61040 64904 66272 66490 68320 70699 70756 72485 74420 74480 78698 80864 81130 82840 83167 85456 88084 88445 92720 93086 95048 95648 101080 101479 104188 106384 106820 110105 113582 115976 118810 119072 119560 122080 126331 129808 130235 132980 141398 141512 144970 148840 148960 154147 157396 162260 165680 166334 170912 176168 176890 182329 185440 186172 190096 196745 202160 202958 208376 212768 213640 220210 225739 227164 231952 232715 237620 239120 252662 259616 260470 265960 275443 282796 283024 283955 289940 297680 308294 314792 324520 325801 331360 332668 352336 353495 353780 364658 372344 380192 393490 404320 405589 405916 415835 416752 427280 440420 451478 454328 463904 465430 475240 478240 494893 505324 507395 520940 531920 550886 565592 566048 567910 579880 582169 595360 616588 629584 631655 649040 651602 665336 704672 706990 707560 724741 729316 744688 770735 786980 811178 811832 831670 833504 854560 880840 884317 902956 908656 911645 930860 950480 989786 1010648 1014790 1041880 1063840 1079029 1101772 1128695 1131184 1135820 1159760 1164338 1233176 1259168 1263310 1295029 1298080 1303204 1330672 1343281 1377215 1413980 1415120 1449482 1458632 1489376 1541470 1573960 1580173 1622356 1623664 1629005 1663340 1761680 1768634 1805912 1817312 1823290 1861720 1900960 1928101 1979572 2021296 2027945 2029580 2083760 2158058 2203544 2257390 2262368 2271640 2319520 2328676 2400289 2466352 2474465 2526620 2590058 2606408 2661344 2686562 2754430 2827960 2830240 2839123 2898964 2910845 2917264 3082940 3147920 3160346 3244712 3247328 3258010 3326680 3464251 3523360 3537268 3611824 3623705 3646580 3723440 3856202 3959144 4042592 4055890 4059160 4167520 4289041 4316116 4407088 4421585 4514780 4543280 4657352 4800578 4932704 4948930 5053240 5073187 5180116 5212816 5373124 5395145 5508860 5655920 5678246 5797928 5821690 5834528 6165880 6190219 6295840 6320692 6475145 6489424 6516020 6653360 6716405 6928502 7074536 7223648 7247410 7293160 7446880 7706191 7712404 7900865 7918288 8111780 8118320 8578082 8632232 8814176 8843170 9029560 9065203 9086560 9314704 9402967 9601156 9640505 9897860 10106480 10146374 10360232 10425632 10746248 10790290 11017720 11061211 11311840 11356492 11595856 11643380 12001445 12331760 12380438 12641384 12950290 12978848 13032040 13306720 13432810 13770079 13857004 14149072 14195615 14494820 14586320 15412382 15424808 15801730 15836576 16223560 16236640 16802023 17156164 17264464 17321255 17686340 18059120 18130406 18629408 18805934 19202312 19281010 19795720 19873861 20212960 20292748 20720464 21445205 21492496 21580580 22035440 22122422 22712984 23191712 23286760 24002890 24605551 24663520 24760876 25282768 25365935 25900580 26064080 26865620 27540158 27714008 28298144 28391230 28989640 29172640 30023287 30824764 30849616 30951095 31603460 32447120 33604046 34312328 34528928 34642510 35372680 35512309 36118240 36260812 37611868 38404624 38530955 38562020 39591440 39747722 40585496 41440928 42890410 42984992 43161160 44070880 44209201 44244844 45326015 45425968 46573520 47014835 48005780 49211102 49521752 50565536 50731870 51801160 52128160 53731240 53943337 55080316 55306055 55428016 56782460 57979280 60046574 61649528 61699232 61902190 63206920 63456421 64894240 65820769 67208092 68624656 68850395 69285020 70745360 71024618 72521624 75223736 76809248 77061910 77124040 78996769 79182880 79495444 81170992 84010115 85780820 86322320 88418402 88489688 90652030 90851936 93147040 94029670 96011560 96390553 98422204 99043504 99369305 101463740 103602320 107462480 107886674 110160632 110612110 110856032 113564920 115958560 117614161 120093148 123027755 123299056 123804380 126413840 126912842 131641538 134416184 137249312 137700790 138570040 141490720 142049236 145043248 146417629 150116435 150447472 154123820 154248080 157993538 158990888 162341984 168020230 171561640 172238857 172644640 176836804 176979376 177561545 181304060 188059340 192023120 192781106 196844408 198087008 198738610 202927480 207204640 210163009 214924960 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4099693612 4186104016 4199874095 4203260180 4315466960 4332501698 4423819064 4675054690 4685364128 4704566440 4803725920 4818802909 4822687996 4951430512 5076513680 5124617015 5232630020 5265661520 5397870968 5511643424 5529773830 5681969440 5856705160 5879823733 6003754444 6028359995 6041653744 6189288140 6319741520 6545076566 6719798552 6725216288 6747338710 6889554280 7073472160 7174463821 7325682028 7480087504 7504693055 7552067180 7711244240 7741683362 8199387224 8372208032 8399748190 8406520360 8630933920 8665003396 8847638128 9157102535 9350109380 9409132880 9637605818 9645375992 9902861024 10153027360 10249234030 10465260040 10506570277 10531323040 10795741936 10831254245 11059547660 11713410320 11759647466 12007508888 12056719990 12083307488 12378576280 12639483040 12819943549 13090153132 13439597104 13494677420 13779108560 14348927642 14651364056 14960175008 15009386110 15104134360 15422488480 15483366724 15959521561 16362691415 16398774448 16799496380 16813040720 17330006792 17695276256 18314205070 18700218760 18818265760 19275211636 19290751984 19354208405 20498468060 20930520080 21013140554 21591483872 21662508490 22119095320 22907767981 23426820640 23519294932 24015017776 24094014545 24113439980 24757152560 25639887098 26180306264 26879194208 26989354840 27558217120 28517833609 28697855284 29302728112 29399118665 30018772220 30208268720 30966733448 31919043122 32725382830 32797548896 33598992760 33626081440 33731620363 34660013584 35872319105 36628410140 37400437520 38550423272 38581503968 38708416810 40996936120 41158766131 41861040160 42026281108 43325016980 44238190640 45815535962 47038589864 48030035552 48188029090 48226879960 49514305120 51279774196 52360612528 52532851385 53978709680 57035667218 57395710568 58605456224 58798237330 60037544440 60416537440 61933466896 63838086244 64099717745 65450765660 67197985520 67463240726 69320027168 71744638210 73256820280 73545991939 74800875040 77100846544 77416833620 79797607805 81993872240 82317532262 84052562216 86650033960 88476381280 91557255271 91631071924 94077179728 96376058180 96453759920 102559548392 104721225056 105065702770 107957419360 111716650927 114071334436 114538839905 114791421136 117596474660 120075088880 123866933792 127676172488 128199435490 130901531320 134395971040 134926481452 142589168045 143489276420 146513640560 147091983878 154201693088 154833667240 159595215610 163987744480 164635064524 168105124432 168658101815 173300067920 183114510542 183262143848 188154359456 192752116360 192907519840 199624835263 205119096784 205793830655 210131405540 223433301854 228142668872 229077679810 229582842272 235192949320 236121342541 240150177760 255352344976 256398870980 261803062640 269852962904 285178336090 286978552840 293027281120 294183967756 309667334480 319190431220 329270129048 336210248864 337316203630 346600135840 366229021084 366524287696 367729959695 385504232720 399249670526 410238193568 411587661310 420262811080 446866603708 456285337744 457786276355 458155359620 470385898640 472242685082 510704689952 512797741960 523606125280 539705925808 558583254635 570356672180 573957105680 588367935512 619334668960 638380862440 640900786897 658540258096 674632407260 732458042168 733048575392 735459919390 771008465440 782016556489 798499341052 823175322620 840525622160 893733207416 912570675488 915572552710 916310719240 940771797280 944485370164 998124176315 1025595483920 1079411851616 1117166509270 1140713344360 1147914211360 1176735871024 1180606712705 1276761724880 1281801573794 1317080516192 1349264814520 1397373846841 1464916084336 1470919838780 1564033112978 1596998682104 1646350645240 1681051244320 1739587850149 1787466414832 1831145105420 1832621438480 1888970740328 1996248352630 2051190967840 2234333018540 2281426688720 2353471742048 2361213425410 2553523449760 2563603147588 2698529629040 2794747693682 2929832168672 2941839677560 3128066225956 3193997364208 3204503934485 3292701290480 3479175700298 3574932829664 3662290210840 3665242876960 3777941480656 3910082782445 3992496705260 4468666037080 4486305508279 4562853377440 4722426850820 5127206295176 5397059258080 5589495387364 5883679355120 6256132451912 6387994728416 6409007868970 6585402580960 6958351400596 6986869234205 7324580421680 7555882961312 7820165564890 7984993410520 8697939250745 8937332074160 8972611016558 9444853701640 10254412590352 11178990774728 11767358710240 12177114951043 12512264903824 12818015737940 13916702801192 13973738468410 14649160843360 15640331129780 15969986821040 17395878501490 17874664148320 17945222033116 18889707403280 20508825180704 22357981549456 22431527541395 24354229902086 25024529807648 25636031475880 27833405602384 27947476936820 31280662259560 31939973642080 34791757002980 35890444066232 37779414806560 44715963098912 44863055082790 48708459804172 51272062951760 55666811204768 55894953873640 60885574755215 62561324519120 69583514005960 71780888132464 85239804657301 89726110165580 97416919608344 102544125903520 111789907747280 121771149510430 125122649038240 139167028011920 143561776264928 170479609314602 179452220331160 194833839216688 223579815494560 243542299020860 278334056023840 340959218629204 358904440662320 389667678433376 426199023286505 487084598041720 681918437258408 717808881324640 852398046573010 974169196083440 1363836874516816 1704796093146020 1948338392166880 2727673749033632 3409592186292040 6819184372584080 13638368745168160
- Sum of all divisors σ(n): 40589173277813160
- Sum of proper divisors (its aliquot sum) s(n): 26950804532645000
- 13638368745168160 is an abundant number, because the sum of its proper divisors (26950804532645000) is greater than itself. Its abundance is 13312435787476840
Bases of 13638368745168160
- Binary: 1100000111010000000110001011000101111100011101001000002
- Hexadecimal: 0x3074062C5F1D20
- Base-36: 3QAEC3UMKV4
Squares and roots of 13638368745168160
- 13638368745168160 squared (136383687451681602) is 186005102029179731201346677785600
- 13638368745168160 cubed (136383687451681603) is 2536806169956579541961174695819531308408426496000
-
The
square root of 13638368745168160 is 116783426.6716307653 -
The
cube root of 13638368745168160 is 238920.9004252873
Scales and comparisons
How big is 13638368745168160?- 13,638,368,745,168,160 seconds is equal to 433,657,939 years, 44 weeks, 2 days, 2 hours, 42 minutes, 40 seconds.
-
To count from 1 to 13,638,368,745,168,160 would take you about one billion, three hundred million, nine hundred seventy-three thousand, eight hundred nineteen 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 13638368745168160 cubic inches would be around 19910.1 feet tall.
Recreational maths with 13638368745168160
- 13638368745168160 backwards is 06186154786383631
- 13638368745168160 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13638368745168160's digits is 76
- More coming soon!
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"Number 13638368745168160 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 13638368745168160 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13638368745168160/
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The information we have on file for 13638368745168160 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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