134516967728640
134,516,967,728,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 134516967728640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1120 divisors.
134516967728640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 134516967728640:
29 × 3 × 5 × 76 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 53 × 53 × 53)See below for interesting mathematical facts about the number 134516967728640 from the Numbermatics database.
Names of 134516967728640
- Cardinal: 134516967728640 can be written as One hundred thirty-four trillion, five hundred sixteen billion, nine hundred sixty-seven million, seven hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3451696772864 × 1014
Factors of 134516967728640
Divisors of 134516967728640
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 53 56 60 64 70 80 84 96 98 105 106 112 120 128 140 147 159 160 168 192 196 210 212 224 240 245 256 265 280 294 318 320 336 343 371 384 392 420 424 448 480 490 512 530 560 588 636 640 672 686 735 742 768 784 795 840 848 896 960 980 1029 1060 1113 1120 1176 1272 1280 1344 1372 1470 1484 1536 1568 1590 1680 1696 1715 1792 1855 1920 1960 2058 2120 2226 2240 2352 2401 2544 2560 2597 2688 2744 2809 2940 2968 3136 3180 3360 3392 3430 3584 3710 3840 3920 4116 4240 4452 4480 4704 4802 5088 5145 5194 5376 5488 5565 5618 5880 5936 6272 6360 6720 6784 6860 7203 7420 7680 7791 7840 8232 8427 8480 8904 8960 9408 9604 10176 10290 10388 10752 10976 11130 11236 11760 11872 12005 12544 12720 12985 13440 13568 13720 14045 14406 14840 15582 15680 16464 16807 16854 16960 17808 17920 18179 18816 19208 19663 20352 20580 20776 21952 22260 22472 23520 23744 24010 25088 25440 25970 26880 27136 27440 28090 28812 29680 31164 31360 32928 33614 33708 33920 35616 36015 36358 37632 38416 38955 39326 40704 41160 41552 42135 43904 44520 44944 47040 47488 48020 50421 50880 51940 53760 54537 54880 56180 57624 58989 59360 62328 62720 65856 67228 67416 67840 71232 72030 72716 75264 76832 77910 78652 81408 82320 83104 84035 84270 87808 89040 89888 90895 94080 94976 96040 98315 100842 101760 103880 109074 109760 112360 115248 117649 117978 118720 124656 125440 127253 131712 134456 134832 135680 137641 142464 144060 145432 148877 153664 155820 157304 164640 166208 168070 168540 175616 178080 179776 181790 188160 189952 192080 196630 201684 203520 207760 218148 219520 224720 230496 235298 235956 237440 249312 252105 254506 263424 268912 269664 272685 275282 284928 288120 290864 294945 297754 307328 311640 314608 329280 332416 336140 337080 352947 356160 359552 363580 376320 381759 384160 393260 403368 407040 412923 415520 436296 439040 446631 449440 460992 470596 471912 474880 498624 504210 509012 526848 537824 539328 545370 550564 569856 576240 581728 588245 589890 595508 614656 623280 629216 636265 658560 664832 672280 674160 688205 705894 712320 719104 727160 744385 763518 768320 786520 806736 825846 831040 872592 878080 890771 893262 898880 921984 941192 943824 949760 963487 997248 1008420 1018024 1042139 1075648 1078656 1090740 1101128 1152480 1163456 1176490 1179780 1191016 1229312 1246560 1258432 1272530 1317120 1329664 1344560 1348320 1376410 1411788 1424640 1438208 1454320 1488770 1527036 1536640 1573040 1613472 1651692 1662080 1745184 1764735 1781542 1786524 1797760 1843968 1882384 1887648 1908795 1926974 1994496 2016840 2036048 2064615 2084278 2151296 2157312 2181480 2202256 2233155 2304960 2326912 2352980 2359560 2382032 2493120 2516864 2545060 2634240 2672313 2689120 2696640 2752820 2823576 2849280 2890461 2908640 2977540 3054072 3073280 3126417 3146080 3226944 3303384 3324160 3490368 3529470 3563084 3573048 3595520 3687936 3764768 3775296 3817590 3853948 3988992 4033680 4072096 4129230 4168556 4302592 4314624 4362960 4404512 4453855 4466310 4609920 4653824 4705960 4719120 4764064 4817435 4986240 5033728 5090120 5210695 5344626 5378240 5393280 5505640 5647152 5780922 5817280 5955080 6108144 6146560 6235397 6252834 6292160 6453888 6606768 6648320 6744409 6980736 7058940 7126168 7146096 7191040 7294973 7529536 7550592 7635180 7707896 8067360 8144192 8258460 8337112 8605184 8725920 8809024 8907710 8932620 9219840 9307648 9411920 9438240 9528128 9634870 9972480 10067456 10180240 10421390 10689252 10756480 10786560 11011280 11294304 11561844 11634560 11910160 12216288 12470794 12505668 12584320 12907776 13213536 13361565 13488818 13961472 14117880 14252336 14292192 14452305 14589946 15059072 15101184 15270360 15415792 15632085 16134720 16288384 16516920 16674224 17451840 17618048 17815420 17865240 18439680 18706191 18823840 18876480 19056256 19269740 19944960 20233227 20360480 20842780 21378504 21512960 21573120 21884919 22022560 22588608 23123688 23269120 23820320 24432576 24941588 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739958016 748247640 755373808 765972165 798130816 800362752 809329080 817036976 855140160 863284352 875396760 903544320 924947520 933756544 944217260 977303040 991428123 997663520 1000453440 1021296220 1057082880 1072361031 1079105440 1133060712 1140186880 1143375360 1167195680 1197196224 1225555464 1233263360 1294926528 1321904164 1333937920 1368224256 1400634816 1416325890 1429814708 1479916032 1496495280 1510747616 1531944330 1596261632 1600725504 1618658160 1634073952 1652380205 1710280320 1726568704 1750793520 1787268385 1849895040 1867513088 1888434520 1982856246 1995327040 2000906880 2042592440 2144722062 2158210880 2266121424 2280373760 2334391360 2394392448 2451110928 2466526720 2502175739 2589853056 2643808328 2667875840 2801269632 2832651780 2859629416 2992990560 3021495232 3063888660 3192523264 3237316320 3268147904 3304760410 3420560640 3453137408 3501587040 3574536770 3699790080 3735026176 3776869040 3965712492 3990654080 4001813760 4085184880 4289444124 4316421760 4532242848 4668782720 4788784896 4902221856 4957140615 5004351478 5179706112 5287616656 5361805155 5602539264 5665303560 5719258832 5985981120 6042990464 6127777320 6474632640 6536295808 6609520820 6841121280 7003174080 7149073540 7399580160 7506527217 7553738080 7931424984 7981308160 8003627520 8170369760 8578888248 8632843520 9064485696 9337565440 9577569792 9804443712 9914281230 10008702956 10359412224 10575233312 10723610310 11205078528 11330607120 11438517664 11971962240 12085980928 12255554640 12510878695 12949265280 13072591616 13219041640 14006348160 14298147080 15013054434 15107476160 15862849968 15962616320 16340739520 17157776496 17265687040 17515230173 18128971392 18675130880 19608887424 19828562460 20017405912 21150466624 21447220620 22661214240 22877035328 23943924480 24171961856 24511109280 25021757390 25898530560 26145183232 26438083280 28012696320 28596294160 30026108868 30214952320 31725699936 32681479040 34315552992 35030460346 36257942784 37532636085 39217774848 39657124920 40034811824 42300933248 42894441240 45322428480 45754070656 47887848960 49022218560 50043514780 51797061120 52545690519 52876166560 56025392640 57192588320 60052217736 60429904640 63451399872 65362958080 68631105984 70060920692 72515885568 75065272170 78435549696 79314249840 80069623648 84601866496 85788882480 87576150865 90644856960 91508141312 98044437120 100087029560 105091381038 105752333120 114385176640 120104435472 120859809280 126902799744 130725916160 137262211968 140121841384 150130544340 158628499680 160139247296 169203732992 171577764960 175152301730 181289713920 183016282624 196088874240 200174059120 210182762076 211504666240 228770353280 240208870944 253805599488 262728452595 274524423936 280243682768 300261088680 317256999360 320278494592 343155529920 350304603460 362579427840 392177748480 400348118240 420365524152 423009332480 457540706560 480417741888 507611198976 525456905190 549048847872 560487365536 600522177360 634513998720 640556989184 686311059840 700609206920 800696236480 840731048304 846018664960 915081413120 960835483776 1050913810380 1120974731072 1201044354720 1269027997440 1281113978368 1372622119680 1401218413840 1601392472960 1681462096608 1921670967552 2101827620760 2241949462144 2402088709440 2538055994880 2745244239360 2802436827680 3202784945920 3362924193216 3843341935104 4203655241520 4483898924288 4804177418880 5604873655360 6405569891840 6725848386432 8407310483040 8967797848576 9608354837760 11209747310720 13451696772864 16814620966080 19216709675520 22419494621440 26903393545728 33629241932160 44838989242880 67258483864320 134516967728640
- Sum of all divisors σ(n): 511353764523360
- Sum of proper divisors (its aliquot sum) s(n): 376836796794720
- 134516967728640 is an abundant number, because the sum of its proper divisors (376836796794720) is greater than itself. Its abundance is 242319829066080
Bases of 134516967728640
- Binary: 111101001010111101011000001001111100110000000002
- Hexadecimal: 0x7A57AC13E600
- Base-36: 1BOK8PGKQO
Squares and roots of 134516967728640
- 134516967728640 squared (1345169677286402) is 18094814606907975200676249600
- 134516967728640 cubed (1345169677286403) is 2434059592533163787283612495347705708544000
-
The
square root of 134516967728640 is 11598145.0123991811 -
The
cube root of 134516967728640 is 51238.0220562899
Scales and comparisons
How big is 134516967728640?- 134,516,967,728,640 seconds is equal to 4,277,223 years, 25 weeks, 1 day, 17 hours, 4 minutes.
-
To count from 1 to 134,516,967,728,640 would take you about ten million, six hundred ninety-three thousand and fifty-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 134516967728640 cubic inches would be around 4269.8 feet tall.
Recreational maths with 134516967728640
- 134516967728640 backwards is 046827769615431
- The number of decimal digits it has is: 15
- The sum of 134516967728640's digits is 69
- More coming soon!
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The information we have on file for 134516967728640 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!
Keywords: Divisors of 134516967728640, math, Factors of 134516967728640, curriculum, school, college, exams, university, Prime factorization of 134516967728640, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-four trillion, five hundred sixteen billion, nine hundred sixty-seven million, seven hundred twenty-eight thousand, six hundred forty.