13638413387342649000
13,638,413,387,342,649,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13638413387342649000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
13638413387342649000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13638413387342649000:
23 × 3 × 53 × 19 × 373 × 59 × 4313
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 37 × 37 × 37 × 59 × 431 × 431 × 431)See below for interesting mathematical facts about the number 13638413387342649000 from the Numbermatics database.
Names of 13638413387342649000
- Cardinal: 13638413387342649000 can be written as Thirteen quintillion, six hundred thirty-eight quadrillion, four hundred thirteen trillion, three hundred eighty-seven billion, three hundred forty-two million, six hundred forty-nine thousand.
Scientific notation
- Scientific notation: 1.3638413387342649 × 1019
Factors of 13638413387342649000
Divisors of 13638413387342649000
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 37 38 40 50 57 59 60 74 75 76 95 100 111 114 118 120 125 148 150 152 177 185 190 200 222 228 236 250 285 295 296 300 354 370 375 380 431 444 456 472 475 500 555 570 590 600 703 708 740 750 760 862 885 888 925 950 1000 1110 1121 1140 1180 1293 1369 1406 1416 1425 1475 1480 1500 1724 1770 1850 1900 2109 2155 2183 2220 2242 2280 2360 2375 2586 2738 2775 2812 2850 2950 3000 3363 3448 3515 3540 3700 3800 4107 4218 4310 4366 4425 4440 4484 4625 4750 5172 5476 5550 5605 5624 5700 5900 6465 6549 6726 6845 7030 7080 7125 7375 7400 8189 8214 8436 8620 8732 8850 8968 9250 9500 10344 10545 10775 10915 10952 11100 11210 11400 11800 12930 13098 13452 13690 13875 14060 14250 14750 15947 16378 16428 16815 16872 17240 17464 17575 17700 18500 19000 20535 21090 21550 21830 22125 22200 22420 24567 25429 25860 26011 26196 26904 27380 27750 28025 28120 28500 29500 31894 32325 32745 32756 32856 33630 34225 35150 35400 37000 40945 41070 41477 42180 43100 43660 44250 44840 47841 49134 50653 50858 51720 52022 52392 52725 53875 54575 54760 55500 56050 57000 59000 63788 64650 65490 65512 67260 68450 70300 76287 78033 79735 80771 81890 82140 82954 84075 84360 86200 87320 87875 88500 95682 98268 101306 101716 102675 104044 105450 107750 109150 111000 112100 122835 124431 127145 127576 129300 130055 130980 134520 136900 140125 140600 151959 152574 156066 159470 161542 161625 163725 163780 164280 165908 168150 171125 175750 177000 185761 191364 196536 202612 203432 204725 205350 207385 208088 210900 215500 218300 224200 239205 242313 245670 248862 253265 254290 258600 260110 261960 263625 272875 273800 280250 302993 303918 305148 312132 318940 323084 323250 327450 327560 331816 336300 342250 351500 371522 381435 382728 390165 398675 403855 405224 409450 410700 414770 420375 421800 431000 436600 478410 483151 484626 491340 497724 506530 508580 513375 520220 527250 545750 557283 560500 590039 605986 607836 610296 614175 622155 624264 635725 637880 646168 646500 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260314807362625 262166264029500 263697087922325 268166530090500 269251838733000 277575882023500 285077932889000 304157301234225 308212731917348 312377768835150 316436505506790 323338392303050 328818704037000 332077267770700 333091058428200 368605767225477 385265914896685 388006070763660 398492721324840 405543068312300 415096584713375 416363823035250 416503691780200 421915340675720 427616899333500 462319097876022 478540820608514 485007588454575 486651681974760 491474356300636 498115901656050 506928835390375 520629614725250 524332528059000 527394175844650 536333060181000 555151764047000 608314602468450 614342945375795 616425463834696 624755537670300 632873011013580 646676784606100 664154535541400 717811230912771 737211534450954 770531829793370 776012141527320 780944422087875 791091263766975 808345980757625 811086136624600 830193169426750 832727646070500 855233798667000 924638195752044 957081641217028 970015176909150 982948712601272 996231803312100 1013857670780750 1041259229450500 1054788351689300 1155797744690055 1196352051521285 1216629204936900 1228685890751590 1245289754140125 1249511075340600 1265746022027160 1293353569212200 1318485439611625 1435622461825542 1474423068901908 1520786506171125 1541063659586740 1561888844175750 1582182527533950 1616691961515250 1660386338853500 1665455292141000 1843028836127385 1849276391504088 1914163282434056 1926329574483425 1940030353818300 1992463606624200 2027715341561500 2082518458901000 2109576703378600 2311595489380110 2392704103042570 2425037942272875 2433258409873800 2457371781503180 2490579508280250 2636970879223250 2871244923651084 2948846137803816 3041573012342250 3071714726878975 3082127319173480 3123777688351500 3164365055067900 3233383923030500 3320772677707000 3589056154563855 3686057672254770 3852659148966850 3880060707636600 3955456318834875 4055430683123000 4546137795780883 4623190978760220 4785408206085140 4850075884545750 4914743563006360 4981159016560500 5273941758446500 5742489847302168 5778988723450275 5981760257606425 6083146024684500 6143429453757950 6247555376703000 6328730110135800 6466767846061000 7178112309127710 7372115344509540 7705318297933700 7910912637669750 9092275591561766 9215144180636925 9246381957520440 9570816412170280 9631647872417125 9700151769091500 9962318033121000 10547883516893000 11557977446900550 11963520515212850 12166292049369000 12286858907515900 13638413387342649 14356224618255420 14744230689019080 15358573634394875 15410636595867400 15821825275339500 17945280772819275 18184551183123532 18430288361273850 19263295744834250 19400303538183000 22730688978904415 23115954893801100 23927041030425700 24573717815031800 27276826774685298 28712449236510840 28894943617251375 29908801288032125 30717147268789750 31643650550679000 35890561545638550 36369102366247064 36860576722547700 38526591489668500 45461377957808830 46075720903184625 46231909787602200 47854082060851400 54553653549370596 57789887234502750 59817602576064250 61434294537579500 68192066936713245 71781123091277100 73721153445095400 77053182979337000 89726403864096375 90922755915617660 92151441806369250 109107307098741192 113653444894522075 115579774469005500 119635205152128500 122868589075159000 136384133873426490 143562246182554200 179452807728192750 181845511831235320 184302883612738500 227306889789044150 231159548938011000 239270410304257000 272768267746852980 340960334683566225 358905615456385500 368605767225477000 454613779578088300 545536535493705960 568267224472610375 681920669367132450 717811230912771000 909227559156176600 1136534448945220750 1363841338734264900 1704801673417831125 2273068897890441500 2727682677468529800 3409603346835662250 4546137795780883000 6819206693671324500 13638413387342649000
- Sum of all divisors σ(n): 46924740933857280000
- Sum of proper divisors (its aliquot sum) s(n): 33286327546514631000
- 13638413387342649000 is an abundant number, because the sum of its proper divisors (33286327546514631000) is greater than itself. Its abundance is 19647914159171982000
Bases of 13638413387342649000
- Binary: 10111101010001010110000010110111011001000111110110010110101010002
- Hexadecimal: 0xBD4560B7647D96A8
- Base-36: 2VM9A1ZAP9V3C
Squares and roots of 13638413387342649000
- 13638413387342649000 squared (136384133873426490002) is 186006319724047189186401734337201000000
- 13638413387342649000 cubed (136384133873426490003) is 2536831081054782210266668097272031058378694585449000000000
-
The
square root of 13638413387342649000 is 3693022256.5458022163 -
The
cube root of 13638413387342649000 is 2389211.6110985777
Scales and comparisons
How big is 13638413387342649000?- 13,638,413,387,342,649,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,638,413,387,342,649,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13638413387342649000 cubic inches would be around 199101 feet tall.
Recreational maths with 13638413387342649000
- 13638413387342649000 backwards is 00094624378331483631
- 13638413387342649000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13638413387342649000's digits is 75
- More coming soon!
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"Number 13638413387342649000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 13638413387342649000 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/13638413387342649000/
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The information we have on file for 13638413387342649000 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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