135382311567360
135,382,311,567,360 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135382311567360 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2720 divisors.
135382311567360 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, seven hundred twenty divisors.
Prime factorization of 135382311567360:
216 × 34 × 5 × 11 × 13 × 53 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 53 × 673)See below for interesting mathematical facts about the number 135382311567360 from the Numbermatics database.
Names of 135382311567360
- Cardinal: 135382311567360 can be written as One hundred thirty-five trillion, three hundred eighty-two billion, three hundred eleven million, five hundred sixty-seven thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3538231156736 × 1014
Factors of 135382311567360
Divisors of 135382311567360
- Number of divisors d(n): 2720
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 53 54 55 60 64 65 66 72 78 80 81 88 90 96 99 104 106 108 110 117 120 128 130 132 135 143 144 156 159 160 162 165 176 180 192 195 198 208 212 216 220 234 240 256 260 264 265 270 286 288 297 312 318 320 324 330 351 352 360 384 390 396 405 416 424 429 432 440 468 477 480 495 512 520 528 530 540 572 576 583 585 594 624 636 640 648 660 673 689 702 704 715 720 768 780 792 795 810 832 848 858 864 880 891 936 954 960 990 1024 1040 1053 1056 1060 1080 1144 1152 1166 1170 1188 1248 1272 1280 1287 1296 1320 1346 1378 1404 1408 1430 1431 1440 1485 1536 1560 1584 1590 1620 1664 1696 1716 1728 1749 1755 1760 1782 1872 1908 1920 1980 2019 2048 2067 2080 2106 2112 2120 2145 2160 2288 2304 2332 2340 2376 2385 2496 2544 2560 2574 2592 2640 2692 2756 2808 2816 2860 2862 2880 2915 2970 3072 3120 3168 3180 3240 3328 3365 3392 3432 3445 3456 3498 3510 3520 3564 3744 3816 3840 3861 3960 4038 4096 4134 4160 4212 4224 4240 4290 4293 4320 4455 4576 4608 4664 4680 4752 4770 4992 5088 5120 5148 5184 5247 5265 5280 5384 5512 5616 5632 5720 5724 5760 5830 5940 6057 6144 6201 6240 6336 6360 6435 6480 6656 6730 6784 6864 6890 6912 6996 7020 7040 7128 7155 7403 7488 7579 7632 7680 7722 7920 8076 8192 8268 8320 8424 8448 8480 8580 8586 8640 8745 8749 8910 9152 9216 9328 9360 9504 9540 9984 10095 10176 10240 10296 10335 10368 10494 10530 10560 10768 11024 11232 11264 11440 11448 11520 11583 11660 11880 12114 12288 12402 12480 12672 12720 12870 12960 13312 13460 13568 13728 13780 13824 13992 14040 14080 14256 14310 14806 14976 15158 15264 15360 15444 15741 15840 16152 16384 16536 16640 16848 16896 16960 17160 17172 17280 17490 17498 17820 18171 18304 18432 18603 18656 18720 19008 19080 19305 19968 20190 20352 20480 20592 20670 20736 20988 21060 21120 21465 21536 22048 22209 22464 22528 22737 22880 22896 23040 23166 23320 23760 24228 24576 24804 24960 25344 25440 25740 25920 26235 26247 26624 26920 27136 27456 27560 27648 27984 28080 28160 28512 28620 29612 29952 30285 30316 30528 30720 30888 31005 31482 31680 32304 32768 33072 33280 33696 33792 33920 34320 34344 34560 34980 34996 35640 35669 36342 36608 36864 37015 37206 37312 37440 37895 38016 38160 38610 39936 40380 40704 40960 41184 41340 41472 41976 42120 42240 42930 43072 43745 44096 44418 44928 45056 45474 45760 45792 46080 46332 46640 47223 47520 48456 49152 49608 49920 50688 50880 51480 51840 52470 52494 53248 53840 54272 54513 54912 55120 55296 55809 55968 56160 56320 57024 57240 57915 59224 59904 60570 60632 61056 61440 61776 62010 62964 63360 64608 65536 66144 66560 66627 67392 67584 67840 68211 68640 68688 69120 69960 69992 71280 71338 72684 73216 73728 74030 74412 74624 74880 75790 76032 76320 77220 78705 78741 79872 80760 81408 81920 82368 82680 82944 83952 84240 84480 85860 86144 87490 88192 88836 89856 90112 90855 90948 91520 91584 92160 92664 93015 93280 94446 95040 96239 96912 98304 99216 99840 101376 101760 102960 103680 104940 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24038052480 24106536960 24561377280 25145303040 25640589312 25713639424 25801850880 26115415040 26298040320 26441857728 26608158720 27119854080 28382035968 28489543680 28927844352 29027082240 29379841920 29585295360 30388846592 31338498048 31535595520 31557648384 31929790464 32050736640 32142049280 32543824896 32748503040 33052322160 33527070720 34187452416 35064053760 35255810304 35477544960 36159805440 37986058240 38460883968 38570459136 38702776320 39173122560 39298203648 39447060480 39912238080 40232484864 40679781120 41784664064 42573053952 42734315520 43391766528 44069762880 45583269888 46443331584 47007747072 47303393280 47336472576 48076104960 48213073920 49122754560 50290606080 51281178624 52230830080 52596080640 52883715456 53216317440 54239708160 56764071936 56979087360 57855688704 58054164480 58759683840 59170590720 62676996096 63115296768 63859580928 64101473280 64284098560 65087649792 65497006080 66104644320 67054141440 68374904832 70511620608 70955089920 72319610880 75972116480 76921767936 77140918272 77405552640 78346245120 78894120960 79824476160 81359562240 83569328128 85146107904 85468631040 86783533056 88139525760 91166539776 94015494144 94606786560 94672945152 96152209920 96426147840 98245509120 100581212160 102562357248 104461660160 105192161280 105767430912 106432634880 108479416320 113958174720 115711377408 116108328960 117519367680 118341181440 125353992192 127719161856 128202946560 128568197120 130175299584 132209288640 136749809664 141023241216 141910179840 144639221760 151944232960 153843535872 156692490240 157788241920 159648952320 162719124480 167138656256 170292215808 170937262080 173567066112 176279051520 188030988288 189345890304 192304419840 192852295680 196491018240 201162424320 205124714496 208923320320 211534861824 212865269760 216958832640 227916349440 231422754816 232216657920 235038735360 236682362880 250707984384 255438323712 256405893120 260350599168 264418577280 273499619328 282046482432 283820359680 289278443520 307687071744 313384980480 315576483840 319297904640 325438248960 334277312512 341874524160 347134132224 352558103040 376061976576 384608839680 385704591360 410249428992 417846640640 423069723648 425730539520 433917665280 455832698880 470077470720 473364725760 501415968768 510876647424 512811786240 520701198336 528837154560 564092964864 578556887040 615374143488 626769960960 638595809280 650876497920 683749048320 694268264448 705116206080 752123953152 769217679360 820498857984 835693281280 846139447296 851461079040 867835330560 940154941440 946729451520 1002831937536 1025623572480 1041402396672 1057674309120 1128185929728 1157113774080 1230748286976 1253539921920 1277191618560 1301752995840 1367498096640 1410232412160 1504247906304 1538435358720 1671386562560 1692278894592 1735670661120 1880309882880 2051247144960 2082804793344 2115348618240 2256371859456 2461496573952 2507079843840 2554383237120 2603505991680 2820464824320 3008495812608 3076870717440 3384557789184 3471341322240 3760619765760 4102494289920 4230697236480 4512743718912 5014159687680 5207011983360 5640929648640 6153741434880 6769115578368 7521239531520 8461394472960 9025487437824 10414023966720 11281859297280 12307482869760 13538231156736 15042479063040 16922788945920 22563718594560 27076462313472 33845577891840 45127437189120 67691155783680 135382311567360
- Sum of all divisors σ(n): 581843479428288
- Sum of proper divisors (its aliquot sum) s(n): 446461167860928
- 135382311567360 is an abundant number, because the sum of its proper divisors (446461167860928) is greater than itself. Its abundance is 311078856293568
Bases of 135382311567360
- Binary: 111101100100001001001101001011100000000000000002
- Hexadecimal: 0x7B2126970000
- Base-36: 1BZLRWU800
Squares and roots of 135382311567360
- 135382311567360 squared (1353823115673602) is 18328370285321737259817369600
- 135382311567360 cubed (1353823115673603) is 2481337136489370333849023786119128416256000
-
The
square root of 135382311567360 is 11635390.4776487841 -
The
cube root of 135382311567360 is 51347.6582101583
Scales and comparisons
How big is 135382311567360?- 135,382,311,567,360 seconds is equal to 4,304,738 years, 38 weeks, 4 days, 9 hours, 36 minutes.
-
To count from 1 to 135,382,311,567,360 would take you about ten million, seven hundred sixty-one thousand, eight hundred forty-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 135382311567360 cubic inches would be around 4279 feet tall.
Recreational maths with 135382311567360
- 135382311567360 backwards is 063765113283531
- 135382311567360 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135382311567360's digits is 54
- More coming soon!
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"Number 135382311567360 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 135382311567360 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/135382311567360/
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The information we have on file for 135382311567360 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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