13131073863336960
13,131,073,863,336,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 13131073863336960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1320 divisors.
13131073863336960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty divisors.
Prime factorization of 13131073863336960:
210 × 34 × 5 × 127 × 211 × 10872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 127 × 211 × 1087 × 1087)See below for interesting mathematical facts about the number 13131073863336960 from the Numbermatics database.
Names of 13131073863336960
- Cardinal: 13131073863336960 can be written as Thirteen quadrillion, one hundred thirty-one trillion, seventy-three billion, eight hundred sixty-three million, three hundred thirty-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.313107386333696 × 1016
Factors of 13131073863336960
Divisors of 13131073863336960
- Number of divisors d(n): 1320
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 127 128 135 144 160 162 180 192 211 216 240 254 256 270 288 320 324 360 381 384 405 422 432 480 508 512 540 576 633 635 640 648 720 762 768 810 844 864 960 1016 1024 1055 1080 1087 1143 1152 1266 1270 1280 1296 1440 1524 1536 1620 1688 1728 1899 1905 1920 2032 2110 2160 2174 2286 2304 2532 2540 2560 2592 2880 3048 3072 3165 3240 3261 3376 3429 3456 3798 3810 3840 4064 4220 4320 4348 4572 4608 5064 5080 5120 5184 5435 5697 5715 5760 6096 6330 6480 6522 6752 6858 6912 7596 7620 7680 8128 8440 8640 8696 9144 9216 9495 9783 10128 10160 10287 10368 10870 11394 11430 11520 12192 12660 12960 13044 13504 13716 13824 15192 15240 15360 16256 16305 16880 17091 17145 17280 17392 18288 18990 19566 20256 20320 20574 20736 21740 22788 22860 23040 24384 25320 25920 26088 26797 27008 27432 27648 28485 29349 30384 30480 32512 32610 33760 34182 34290 34560 34784 36576 37980 39132 40512 40640 41148 41472 43480 45576 45720 46080 48768 48915 50640 51435 51840 52176 53594 54016 54864 56970 58698 60768 60960 65024 65220 67520 68364 68580 69120 69568 73152 75960 78264 80391 81024 81280 82296 82944 85455 86960 88047 91152 91440 97536 97830 101280 102870 103680 104352 107188 108032 109728 113940 117396 121536 121920 130048 130440 133985 135040 136728 137160 138049 138240 139136 146304 146745 151920 156528 160782 162048 162560 164592 170910 173920 176094 182304 182880 195072 195660 202560 205740 207360 208704 214376 216064 219456 227880 229357 234792 241173 243072 243840 260880 267970 270080 273456 274320 276098 278272 292608 293490 303840 313056 321564 324096 325120 329184 341820 347840 352188 364608 365760 390144 391320 401955 405120 411480 414147 414720 417408 428752 438912 440235 455760 458714 469584 482346 486144 487680 521760 535940 540160 546912 548640 552196 556544 585216 586980 607680 626112 643128 648192 650240 658368 683640 688071 690245 695680 704376 723519 729216 731520 782640 803910 810240 822960 828294 834816 857504 877824 880470 911520 917428 939168 964692 972288 975360 1043520 1071880 1080320 1093824 1097280 1104392 1113088 1146785 1170432 1173960 1181569 1205865 1215360 1242441 1252224 1286256 1316736 1367280 1376142 1380490 1391360 1408752 1447038 1458432 1463040 1565280 1607820 1620480 1645920 1656588 1669632 1715008 1755648 1760940 1823040 1834856 1878336 1929384 1944576 1950720 2064213 2070735 2087040 2143760 2170557 2187648 2194560 2208784 2293570 2347920 2363138 2411730 2430720 2484882 2504448 2572512 2633472 2734560 2752284 2760980 2782720 2817504 2894076 2916864 2926080 3130560 3215640 3240960 3291840 3313176 3339264 3430016 3440355 3511296 3521880 3544707 3617595 3646080 3669712 3727323 3756672 3858768 4128426 4141470 4174080 4287520 4341114 4375296 4389120 4417568 4587140 4695840 4726276 4823460 4861440 4969764 5008896 5145024 5266944 5469120 5504568 5521960 5565440 5635008 5788152 5833728 5852160 5907845 6192639 6212205 6261120 6431280 6583680 6626352 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20972404080 21608533872 22370564352 22437995310 23593954590 23779733760 23933861664 24009482080 24309600606 24501014784 25166884896 26925594372 27010667340 27223349760 27963205440 28625840640 28811378496 29827419136 29917327080 30626268480 31458606120 31662504493 31706311680 31911815552 32412800808 32668019712 33555846528 33656992965 35900792496 36014223120 37284273920 37750327344 38415171328 39889769440 40388391558 40516001010 40835024640 41944808160 43217067744 44741128704 44875990620 47187909180 47559467520 47867723328 48018964160 48619201212 49002029568 50333769792 53851188744 54021334680 54446699520 55926410880 57251681280 57622756992 59834654160 60774001515 61252536960 62917212240 63325008986 63823631104 64825601616 67111693056 67313985930 71801584992 72028446240 74568547840 75500654688 76830342656 79779538880 80776783116 81032002020 81670049280 83889616320 86434135488 89482257408 89751981240 94375818360 94987513479 95118935040 95735446656 96037928320 97238402424 98004059136 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3829417866240 3889536096960 4026701583360 4052800575104 4148838503424 4274438106555 4308095099520 4559400646992 5066000718880 5129325727866 5169714119424 5186048129280 5699250808740 5744126799360 6040052375040 6079200862656 6223257755136 6462142649280 6839100970488 6892952159232 6914730839040 7599001078320 7779072193920 8105601150208 8548876213110 8616190199040 9118801293984 10132001437760 10258651455732 10339428238848 10372096258560 11398501617480 11488253598720 12080104750080 12158401725312 12446515510272 12823314319665 12924285298560 13678201940976 15198002156640 15558144387840 16211202300416 17097752426220 17232380398080 18237602587968 20264002875520 20517302911464 20678856477696 20744192517120 22797003234960 24316803450624 25646628639330 25848570597120 27356403881952 30396004313280 31116288775680 32422404600832 34195504852440 34464760796160 36475205175936 40528005751040 41034605822928 45594006469920 48633606901248 51293257278660 51697141194240 54712807763904 60792008626560 62232577551360 68391009704880 72950410351872 81056011502080 82069211645856 91188012939840 97267213802496 102586514557320 103394282388480 109425615527808 121584017253120 136782019409760 145900820703744 162112023004160 164138423291712 182376025879680 205173029114640 218851231055616 243168034506240 273564038819520 291801641407488 328276846583424 364752051759360 410346058229280 437702462111232 486336069012480 547128077639040 656553693166848 729504103518720 820692116458560 875404924222464 1094256155278080 1313107386333696 1459008207037440 1641384232917120 2188512310556160 2626214772667392 3282768465834240 4377024621112320 6565536931668480 13131073863336960
- Sum of all divisors σ(n): 47693489697874944
- Sum of proper divisors (its aliquot sum) s(n): 34562415834537984
- 13131073863336960 is an abundant number, because the sum of its proper divisors (34562415834537984) is greater than itself. Its abundance is 21431341971201024
Bases of 13131073863336960
- Binary: 1011101010011010100100011000010010010011000100000000002
- Hexadecimal: 0x2EA6A46124C400
- Base-36: 3LAKS1ZY800
Squares and roots of 13131073863336960
- 13131073863336960 squared (131310738633369602) is 172425100804411036066866502041600
- 13131073863336960 cubed (131310738633369603) is 2264126734556042392773435387981781235228737536000
-
The
square root of 13131073863336960 is 114590897.8206251773 -
The
cube root of 13131073863336960 is 235921.0802341955
Scales and comparisons
How big is 13131073863336960?- 13,131,073,863,336,960 seconds is equal to 417,527,531 years, 40 weeks, 2 days, 9 hours, 36 minutes.
-
To count from 1 to 13,131,073,863,336,960 would take you about one billion, two hundred fifty-two million, five hundred eighty-two thousand, five hundred ninety-five 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 13131073863336960 cubic inches would be around 19660.1 feet tall.
Recreational maths with 13131073863336960
- 13131073863336960 backwards is 06963336837013131
- The number of decimal digits it has is: 17
- The sum of 13131073863336960's digits is 63
- More coming soon!
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"Number 13131073863336960 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 13131073863336960 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13131073863336960/
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The information we have on file for 13131073863336960 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 13131073863336960, math, Factors of 13131073863336960, curriculum, school, college, exams, university, Prime factorization of 13131073863336960, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred thirty-one trillion, seventy-three billion, eight hundred sixty-three million, three hundred thirty-six thousand, nine hundred sixty.