136713890864101200
136,713,890,864,101,200 is an even composite number composed of seven prime numbers multiplied together.
136713890864101200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 136713890864101200:
24 × 3 × 52 × 13 × 31 × 3461 × 81681697
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 31 × 3461 × 81681697)See below for interesting mathematical facts about the number 136713890864101200 from the Numbermatics database.
Names of 136713890864101200
- Cardinal: 136713890864101200 can be written as One hundred thirty-six quadrillion, seven hundred thirteen trillion, eight hundred ninety billion, eight hundred sixty-four million, one hundred one thousand, two hundred.
Scientific notation
- Scientific notation: 1.367138908641012 × 1017
Factors of 136713890864101200
Divisors of 136713890864101200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 39 40 48 50 52 60 62 65 75 78 80 93 100 104 120 124 130 150 155 156 186 195 200 208 240 248 260 300 310 312 325 372 390 400 403 465 496 520 600 620 624 650 744 775 780 806 930 975 1040 1200 1209 1240 1300 1488 1550 1560 1612 1860 1950 2015 2325 2418 2480 2600 3100 3120 3224 3461 3720 3900 4030 4650 4836 5200 6045 6200 6448 6922 7440 7800 8060 9300 9672 10075 10383 12090 12400 13844 15600 16120 17305 18600 19344 20150 20766 24180 27688 30225 32240 34610 37200 40300 41532 44993 48360 51915 55376 60450 69220 80600 83064 86525 89986 96720 103830 107291 120900 134979 138440 161200 166128 173050 179972 207660 214582 224965 241800 259575 269958 276880 321873 346100 359944 415320 429164 449930 483600 519150 536455 539916 643746 674895 692200 719888 830640 858328 899860 1038300 1072910 1079832 1124825 1287492 1349790 1384400 1394783 1609365 1716656 1799720 2076600 2145820 2159664 2249650 2574984 2682275 2699580 2789566 3218730 3374475 3599440 4153200 4184349 4291640 4499300 5149968 5364550 5399160 5579132 6437460 6748950 6973915 8046825 8368698 8583280 8998600 10729100 10798320 11158264 12874920 13497900 13947830 16093650 16737396 17997200 20921745 21458200 22316528 25749840 26995800 27895660 32187300 33474792 34869575 41843490 42916400 53991600 55791320 64374600 66949584 69739150 81681697 83686980 104608725 111582640 128749200 139478300 163363394 167373960 209217450 245045091 278956600 326726788 334747920 408408485 418434900 490090182 557913200 653453576 816816970 836869800 980180364 1061862061 1225225455 1306907152 1633633940 1673739600 1960360728 2042042425 2123724122 2450450910 2532132607 3185586183 3267267880 3920721456 4084084850 4247448244 4900901820 5064265214 5309310305 6126127275 6371172366 6534535760 7596397821 8168169700 8494896488 9801803640 10128530428 10618620610 12252254550 12660663035 12742344732 15192795642 15927930915 16336339400 16989792976 19603607280 20257060856 21237241220 24504509100 25321326070 25484689464 26546551525 30385591284 31855861830 32672678800 32917723891 37981989105 40514121712 42474482440 49009018200 50642652140 50969378928 53093103050 60771182568 63303315175 63711723660 65835447782 75963978210 79639654575 84948964880 98018036400 98753171673 101285304280 106186206100 121542365136 126606630350 127423447320 131670895564 151927956420 159279309150 164588619455 189909945525 197506343346 202570608560 212372412200 253213260700 254846894640 263341791128 282700353317 303855912840 318558618300 329177238910 379819891050 395012686692 424744824400 493765858365 506426521400 526683582256 565400706634 607711825680 637117236600 658354477820 759639782100 790025373384 822943097275 848101059951 987531716730 1012853042800 1130801413268 1274234473200 1316708955640 1413501766585 1519279564200 1580050746768 1645886194550 1696202119902 1975063433460 2261602826536 2468829291825 2633417911280 2827003533170 3038559128400 3291772389100 3392404239804 3675104593121 3950126866920 4240505299755 4523205653072 4937658583650 5654007066340 6583544778200 6784808479608 7067508832925 7350209186242 7900253733840 8481010599510 8763710952827 9875317167300 11025313779363 11308014132680 13167089556400 13569616959216 14135017665850 14700418372484 16962021199020 17527421905654 18375522965605 19750634334600 21202526498775 22050627558726 22616028265360 26291132858481 28270035331700 29400836744968 33924042398040 35054843811308 36751045931210 39501268669200 42405052997550 43818554764135 44101255117452 52582265716962 55126568896815 56540070663400 58801673489936 67848084796080 70109687622616 73502091862420 84810105995100 87637109528270 88202510234904 91877614828025 105164531433924 110253137793630 113080141326800 113928242386751 131455664292405 140219375245232 147004183724840 169620211990200 175274219056540 176405020469808 183755229656050 210329062867848 219092773820675 220506275587260 227856484773502 262911328584810 275632844484075 294008367449680 339240423980400 341784727160253 350548438113080 367510459312100 420658125735696 438185547641350 441012551174520 455712969547004 525822657169620 551265688968150 569641211933755 657278321462025 683569454320506 701096876226160 735020918624200 876371095282700 882025102349040 911425939094008 1051645314339240 1102531377936300 1139282423867510 1314556642924050 1367138908641012 1470041837248400 1708923635801265 1752742190565400 1822851878188016 2103290628678480 2205062755872600 2278564847735020 2629113285848100 2734277817282024 2848206059668775 3417847271602530 3505484381130800 4410125511745200 4557129695470040 5258226571696200 5468555634564048 5696412119337550 6835694543205060 8544618179006325 9114259390940080 10516453143392400 11392824238675100 13671389086410120 17089236358012650 22785648477350200 27342778172820240 34178472716025300 45571296954700400 68356945432050600 136713890864101200
- Sum of all divisors σ(n): 486982341843981312
- Sum of proper divisors (its aliquot sum) s(n): 350268450979880112
- 136713890864101200 is an abundant number, because the sum of its proper divisors (350268450979880112) is greater than itself. Its abundance is 213554560115778912
Bases of 136713890864101200
- Binary: 1111001011011010010001111001101001101000011110111010100002
- Hexadecimal: 0x1E5B48F34D0F750
- Base-36: 11E512F8FDQO
Squares and roots of 136713890864101200
- 136713890864101200 squared (1367138908641012002) is 18690687955201373558006883841440000
- 136713890864101200 cubed (1367138908641012003) is 2555276673282371403373314869863423537248913728000000
-
The
square root of 136713890864101200 is 369748415.6343353421 -
The
cube root of 136713890864101200 is 515154.5592768005
Scales and comparisons
How big is 136713890864101200?- 136,713,890,864,101,200 seconds is equal to 4,347,078,845 years, 33 weeks, 4 days, 23 hours, 40 minutes.
-
To count from 1 to 136,713,890,864,101,200 would take you about thirteen billion, forty-one million, two hundred thirty-six thousand, five hundred thirty-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 136713890864101200 cubic inches would be around 42929.5 feet tall.
Recreational maths with 136713890864101200
- 136713890864101200 backwards is 002101468098317631
- 136713890864101200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 136713890864101200's digits is 60
- More coming soon!
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