134680561764131174400
134,680,561,764,131,174,400 is an even composite number composed of seven prime numbers multiplied together.
134680561764131174400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 134680561764131174400:
211 × 32 × 52 × 7 × 17 × 593 × 4141815929
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 17 × 593 × 4141815929)See below for interesting mathematical facts about the number 134680561764131174400 from the Numbermatics database.
Names of 134680561764131174400
- Cardinal: 134680561764131174400 can be written as One hundred thirty-four quintillion, six hundred eighty quadrillion, five hundred sixty-one trillion, seven hundred sixty-four billion, one hundred thirty-one million, one hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.346805617641311744 × 1020
Factors of 134680561764131174400
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 4141816556
Divisors of 134680561764131174400
- Number of divisors d(n): 1728
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 50 51 56 60 63 64 68 70 72 75 80 84 85 90 96 100 102 105 112 119 120 126 128 136 140 144 150 153 160 168 170 175 180 192 200 204 210 224 225 238 240 252 255 256 272 280 288 300 306 315 320 336 340 350 357 360 384 400 408 420 425 448 450 476 480 504 510 512 525 544 560 576 593 595 600 612 630 640 672 680 700 714 720 765 768 800 816 840 850 896 900 952 960 1008 1020 1024 1050 1071 1088 1120 1152 1186 1190 1200 1224 1260 1275 1280 1344 1360 1400 1428 1440 1530 1536 1575 1600 1632 1680 1700 1779 1785 1792 1800 1904 1920 2016 2040 2048 2100 2142 2176 2240 2304 2372 2380 2400 2448 2520 2550 2560 2688 2720 2800 2856 2880 2965 2975 3060 3072 3150 3200 3264 3360 3400 3558 3570 3584 3600 3808 3825 3840 4032 4080 4151 4200 4284 4352 4480 4608 4744 4760 4800 4896 5040 5100 5120 5337 5355 5376 5440 5600 5712 5760 5930 5950 6120 6144 6300 6400 6528 6720 6800 7116 7140 7168 7200 7616 7650 7680 8064 8160 8302 8400 8568 8704 8895 8925 8960 9216 9488 9520 9600 9792 10080 10081 10200 10240 10674 10710 10752 10880 11200 11424 11520 11860 11900 12240 12453 12600 12800 13056 13440 13600 14232 14280 14336 14400 14825 15232 15300 15360 16128 16320 16604 16800 17136 17408 17790 17850 17920 18432 18976 19040 19200 19584 20160 20162 20400 20755 21348 21420 21504 21760 22400 22848 23040 23720 23800 24480 24906 25200 25600 26112 26685 26775 26880 27200 28464 28560 28800 29650 30243 30464 30600 30720 32256 32640 33208 33600 34272 34816 35580 35700 35840 37359 37952 38080 38400 39168 40320 40324 40800 41510 42696 42840 43008 43520 44475 44800 45696 46080 47440 47600 48960 49812 50400 50405 51200 52224 53370 53550 53760 54400 56928 57120 57600 59300 60486 60928 61200 62265 64512 65280 66416 67200 68544 70567 71160 71400 71680 74718 75904 76160 76800 78336 80640 80648 81600 83020 85392 85680 87040 88950 89600 90729 91392 92160 94880 95200 97920 99624 100800 100810 103775 104448 106740 107100 107520 108800 113856 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213778669466874880 220066277392371200 224467602940218624 226353885317867520 227117304829900800 233820419729394400 240501003150234240 247574562066417600 256534403360249856 263047972195568700 264079532870845440 267223336833593600 280584503675273280 282942356647334400 299290137253624832 300626253937792800 316895439445014528 320668004200312320 330099416088556800 336701404410327936 350730629594091600 374112671567031040 377256475529779200 384801605040374784 396119299306268160 400835005250390400 420876755512909920 427557338933749760 440132554784742400 448935205880437248 467640839458788800 481002006300468480 495149124132835200 526095944391137400 528159065741690880 534446673667187200 561169007350546560 565884713294668800 598580274507249664 601252507875585600 641336008400624640 660198832177113600 673402808820655872 701461259188183200 748225343134062080 769603210080749568 792238598612536320 801670010500780800 841753511025819840 880265109569484800 897870411760874496 935281678917577600 962004012600936960 990298248265670400 1052191888782274800 1068893347334374400 1122338014701093120 1131769426589337600 1202505015751171200 1282672016801249280 1320397664354227200 1346805617641311744 1402922518376366400 1496450686268124160 1584477197225072640 1603340021001561600 1683507022051639680 1795740823521748992 1870563357835155200 1924008025201873920 1980596496531340800 2104383777564549600 2137786694668748800 2244676029402186240 2405010031502342400 2640795328708454400 2693611235282623488 2805845036752732800 2992901372536248320 3206680042003123200 3367014044103279360 3741126715670310400 3848016050403747840 3961192993062681600 4208767555129099200 4489352058804372480 4810020063004684800 5387222470565246976 5611690073505465600 6413360084006246400 6734028088206558720 7482253431340620800 7922385986125363200 8417535110258198400 8978704117608744960 9620040126009369600 11223380147010931200 13468056176413117440 14964506862681241600 16835070220516396800 19240080252018739200 22446760294021862400 26936112352826234880 33670140441032793600 44893520588043724800 67340280882065587200 134680561764131174400
- Sum of all divisors σ(n): 584653674385697716800
- Sum of proper divisors (its aliquot sum) s(n): 449973112621566542400
- 134680561764131174400 is an abundant number, because the sum of its proper divisors (449973112621566542400) is greater than itself. Its abundance is 315292550857435368000
Bases of 134680561764131174400
- Binary: 11101001101000100010111100101011011001101010001100001111000000000002
- Hexadecimal: 0x74D11795B35187800
- Base-36: SF8MQMY0QPZ40
Squares and roots of 134680561764131174400
- 134680561764131174400 squared (1346805617641311744002) is 18138853717101952075458128489923215360000
- 134680561764131174400 cubed (1346805617641311744003) is 2442951008376689792836735080985278632639742078860918784000000
-
The
square root of 134680561764131174400 is 11605195464.2794006843 -
The
cube root of 134680561764131174400 is 5125878.4837348943
Scales and comparisons
How big is 134680561764131174400?- 134,680,561,764,131,174,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 134,680,561,764,131,174,400 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 134680561764131174400 cubic inches would be around 427156.5 feet tall.
Recreational maths with 134680561764131174400
- 134680561764131174400 backwards is 004471131467165086431
- 134680561764131174400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 134680561764131174400's digits is 72
- More coming soon!
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"Number 134680561764131174400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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The information we have on file for 134680561764131174400 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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