134214768211077120
134,214,768,211,077,120 is an even composite number composed of six prime numbers multiplied together.
134214768211077120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 134214768211077120:
211 × 3 × 5 × 73 × 235 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 23 × 23 × 23 × 23 × 23 × 1979)See below for interesting mathematical facts about the number 134214768211077120 from the Numbermatics database.
Names of 134214768211077120
- Cardinal: 134214768211077120 can be written as One hundred thirty-four quadrillion, two hundred fourteen trillion, seven hundred sixty-eight billion, two hundred eleven million, seventy-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3421476821107712 × 1017
Factors of 134214768211077120
Divisors of 134214768211077120
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 32 35 40 42 46 48 49 56 60 64 69 70 80 84 92 96 98 105 112 115 120 128 138 140 147 160 161 168 184 192 196 210 224 230 240 245 256 276 280 294 320 322 336 343 345 368 384 392 420 448 460 480 483 490 512 529 552 560 588 640 644 672 686 690 735 736 768 784 805 840 896 920 960 966 980 1024 1029 1058 1104 1120 1127 1176 1280 1288 1344 1372 1380 1470 1472 1536 1568 1587 1610 1680 1715 1792 1840 1920 1932 1960 1979 2048 2058 2116 2208 2240 2254 2352 2415 2560 2576 2645 2688 2744 2760 2940 2944 3072 3136 3174 3220 3360 3381 3430 3584 3680 3703 3840 3864 3920 3958 4116 4232 4416 4480 4508 4704 4830 5120 5145 5152 5290 5376 5488 5520 5635 5880 5888 5937 6144 6272 6348 6440 6720 6762 6860 7168 7360 7406 7680 7728 7840 7889 7916 7935 8232 8464 8832 8960 9016 9408 9660 9895 10240 10290 10304 10580 10752 10976 11040 11109 11270 11760 11776 11874 12167 12544 12696 12880 13440 13524 13720 13853 14336 14720 14812 15360 15456 15680 15778 15832 15870 16464 16905 16928 17664 17920 18032 18515 18816 19320 19790 20580 20608 21160 21504 21952 22080 22218 22540 23520 23552 23667 23748 24334 25088 25392 25760 25921 26880 27048 27440 27706 29440 29624 29685 30720 30912 31360 31556 31664 31740 32928 33810 33856 35328 35840 36064 36501 37030 37632 38640 39445 39580 41160 41216 41559 42320 43008 43904 44160 44436 45080 45517 47040 47104 47334 47496 48668 50176 50784 51520 51842 53760 54096 54880 55412 55545 58880 59248 59370 60835 61824 62720 63112 63328 63480 65856 67620 67712 69265 70656 71680 72128 73002 74060 75264 77280 77763 78890 79160 82320 82432 83118 84640 85169 87808 88320 88872 90160 91034 94080 94668 94992 96971 97336 100352 101568 103040 103684 107520 108192 109760 110824 111090 117760 118335 118496 118740 121670 123648 125440 126224 126656 126960 129605 131712 135240 135424 136551 138530 141312 144256 146004 148120 150528 154560 155526 157780 158320 164640 164864 166236 169280 170338 175616 176640 177744 180320 181447 182068 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11031048591360 11303248122880 11397313876620 11412820426112 11909030009856 12081624647680 12157134801728 12228021885120 12482772341060 12685705880064 13025501573280 13043223344128 13106910958113 13563897747456 13893868344832 14266025532640 14886287512320 14979326809272 15196418502160 15857132350080 16304029180160 16914274506752 16954872184320 17012900014080 17119230639168 17367335431040 17475881277484 18122436971520 18235702202592 18724158511590 19564835016192 19848383349760 19972435745696 20840802517248 21142843133440 21399038298960 21844851596855 22606496245760 22794627753240 22825640852224 23818060019712 24314269603456 24456043770240 24965544682120 25371411760128 26051003146560 26086446688256 26213821916226 27787736689664 28532051065280 29772575024640 29958653618544 30392837004320 31714264700160 32608058360320 33909744368640 34238461278336 34734670862080 34951762554968 36244873943040 36471404405184 37448317023180 39129670032384 39696766699520 39944871491392 41681605034496 42285686266880 42798076597920 43689703193710 45589255506480 45651281704448 48628539206912 48912087540480 49931089364240 50742823520256 52102006293120 52427643832452 55575473379328 57064102130560 59545150049280 59917307237088 60785674008640 63428529400320 65216116720640 65534554790565 67819488737280 68476922556672 69469341724160 69903525109936 72942808810368 74896634046360 78259340064768 79889742982784 83363210068992 84571372533760 85596153195840 87379406387420 91178511012960 91302563408896 97257078413824 97824175080960 99862178728480 104204012586240 104855287664904 114128204261120 119090300098560 119834614474176 121571348017280 126857058800640 130432233441280 131069109581130 136953845113344 138938683448320 139807050219872 145885617620736 149793268092720 159779485965568 166726420137984 171192306391680 174758812774840 182357022025920 182605126817792 194514156827648 195648350161920 199724357456960 208408025172480 209710575329808 228256408522240 239669228948352 243142696034560 253714117601280 262138219162260 273907690226688 277877366896640 279614100439744 291771235241472 299586536185440 319558971931136 342384612783360 349517625549680 364714044051840 389028313655296 391296700323840 399448714913920 416816050344960 419421150659616 456512817044480 479338457896704 486285392069120 524276438324520 547815380453376 559228200879488 583542470482944 599173072370880 639117943862272 684769225566720 699035251099360 729428088103680 798897429827840 833632100689920 838842301319232 913025634088960 958676915793408 972570784138240 1048552876649040 1118456401758976 1167084940965888 1198346144741760 1278235887724544 1369538451133440 1398070502198720 1458856176207360 1597794859655680 1677684602638464 1917353831586816 1945141568276480 2097105753298080 2236912803517952 2396692289483520 2739076902266880 2796141004397440 2917712352414720 3195589719311360 3355369205276928 3834707663173632 4194211506596160 4473825607035904 4793384578967040 5592282008794880 5835424704829440 6391179438622720 6710738410553856 8388423013192320 8947651214071808 9586769157934080 11184564017589760 13421476821107712 16776846026384640 19173538315868160 22369128035179520 26842953642215424 33553692052769280 44738256070359040 67107384105538560 134214768211077120
- Sum of all divisors σ(n): 523762814615040000
- Sum of proper divisors (its aliquot sum) s(n): 389548046403962880
- 134214768211077120 is an abundant number, because the sum of its proper divisors (389548046403962880) is greater than itself. Its abundance is 255333278192885760
Bases of 134214768211077120
- Binary: 1110111001101001110011110110111101101010100101000000000002
- Hexadecimal: 0x1DCD39EDED52800
- Base-36: 10PJ5XBQ91XC
Squares and roots of 134214768211077120
- 134214768211077120 squared (1342147682110771202) is 18013604005953157426369870587494400
- 134214768211077120 cubed (1342147682110771203) is 2417691686305133297244764587555348935680225968128000
-
The
square root of 134214768211077120 is 366353337.9281225003 -
The
cube root of 134214768211077120 is 511996.2364060977
Scales and comparisons
How big is 134214768211077120?- 134,214,768,211,077,120 seconds is equal to 4,267,614,475 years, 29 weeks, 6 days, 16 hours, 32 minutes.
-
To count from 1 to 134,214,768,211,077,120 would take you about twelve billion, eight hundred two million, eight hundred forty-three thousand, four hundred twenty-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 134214768211077120 cubic inches would be around 42666.4 feet tall.
Recreational maths with 134214768211077120
- 134214768211077120 backwards is 021770112867412431
- The number of decimal digits it has is: 18
- The sum of 134214768211077120's digits is 57
- More coming soon!
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"Number 134214768211077120 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 134214768211077120 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/134214768211077120/
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The information we have on file for 134214768211077120 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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