34053944629104000
34,053,944,629,104,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34053944629104000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
34053944629104000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 34053944629104000:
27 × 32 × 53 × 19 × 41 × 3072 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 41 × 307 × 307 × 3221)See below for interesting mathematical facts about the number 34053944629104000 from the Numbermatics database.
Names of 34053944629104000
- Cardinal: 34053944629104000 can be written as Thirty-four quadrillion, fifty-three trillion, nine hundred forty-four billion, six hundred twenty-nine million, one hundred four thousand.
Scientific notation
- Scientific notation: 3.4053944629104 × 1016
Factors of 34053944629104000
Divisors of 34053944629104000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 41 45 48 50 57 60 64 72 75 76 80 82 90 95 96 100 114 120 123 125 128 144 150 152 160 164 171 180 190 192 200 205 225 228 240 246 250 285 288 300 304 307 320 328 342 360 369 375 380 384 400 410 450 456 475 480 492 500 570 576 600 608 614 615 640 656 684 720 738 750 760 779 800 820 855 900 912 921 950 960 984 1000 1025 1125 1140 1152 1200 1216 1228 1230 1312 1368 1425 1440 1476 1500 1520 1535 1558 1600 1640 1710 1800 1824 1842 1845 1900 1920 1968 2000 2050 2250 2280 2337 2375 2400 2432 2456 2460 2624 2736 2763 2850 2880 2952 3000 3040 3070 3075 3116 3200 3221 3280 3420 3600 3648 3684 3690 3800 3895 3936 4000 4100 4275 4500 4560 4605 4674 4750 4800 4912 4920 5125 5248 5472 5526 5700 5760 5833 5904 6000 6080 6140 6150 6232 6442 6560 6840 7011 7125 7200 7296 7368 7380 7600 7675 7790 7872 8000 8200 8550 9000 9120 9210 9225 9348 9500 9600 9663 9824 9840 10250 10944 11052 11400 11666 11685 11808 12000 12160 12280 12300 12464 12587 12884 13120 13680 13815 14022 14250 14400 14736 14760 15200 15350 15375 15580 15744 16000 16105 16400 17100 17499 18000 18240 18420 18450 18696 19000 19326 19475 19648 19680 20500 21375 21888 22104 22800 23025 23332 23370 23616 24000 24560 24600 24928 25174 25768 26240 27360 27630 28044 28500 28800 28989 29165 29472 29520 30400 30700 30750 31160 32210 32800 34200 34998 35055 36000 36480 36840 36900 37392 37761 38000 38375 38652 38950 39296 39360 41000 42750 44208 45600 46050 46125 46664 46740 47232 48000 48315 49120 49200 49856 50348 51536 52497 54720 55260 56088 57000 57978 58330 58425 58944 59040 60800 61199 61400 61500 62320 62935 64420 65600 68400 69075 69996 70110 72000 73680 73800 74784 75522 76000 76750 77304 77900 78720 80525 82000 85500 87495 88416 91200 92100 92250 93328 93480 94249 96630 97375 98240 98400 99712 100696 103072 104994 109440 110520 112176 113283 114000 115125 115956 116660 116850 117888 118080 122398 122800 123000 124640 125870 128840 131200 132061 136800 138150 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8651916826500 8742989635200 8961564376080 9228711281600 9243741756000 9334962891750 9459429063640 9957293751200 10382300191800 10572475824000 10641857696595 10928737044000 11074453537920 11092490107200 11201955470100 11351314876368 11535889102000 11824286329550 11948752501440 12324989008000 12446617189000 12977875239750 13843066922400 13865612634000 14002444337625 14189143595460 14338503001728 14571649392000 14935940626800 15135086501824 16611680306880 17026972314552 17303833653000 17736429494325 17923128752160 18457422563200 18487483512000 18669925783500 18918858127280 19914587502400 20764600383600 21283715393190 21857474088000 22184980214400 22403910940200 22702629752736 23071778204000 23648572659100 23897505002880 24893234378000 25955750479500 27686133844800 27731225268000 28004888675250 28378287190920 29560715823875 29871881253600 30270173003648 33223360613760 34053944629104 34607667306000 35472858988650 35846257504320 36974967024000 37339851567000 37837716254560 39829175004800 41529200767200 42567430786380 43714948176000 44807821880400 45405259505472 46143556408000 47297145318200 49786468756000 51911500959000 53209288482975 55372267689600 55462450536000 56009777350500 56756574381840 59121431647750 59743762507200 68107889258208 69215334612000 70945717977300 71692515008640 74679703134000 75675432509120 83058401534400 85134861572760 88682147471625 89615643760800 90810519010944 92287112816000 94594290636400 99572937512000 103823001918000 106418576965950 110924901072000 112019554701000 113513148763680 118242863295500 119487525014400 136215778516416 138430669224000 141891435954600 149359406268000 151350865018240 166116803068800 170269723145520 177364294943250 179231287521600 189188581272800 199145875024000 207646003836000 212837153931900 224039109402000 227026297527360 236485726591000 266046442414875 272431557032832 276861338448000 283782871909200 298718812536000 340539446291040 354728589886500 358462575043200 378377162545600 415292007672000 425674307863800 448078218804000 454052595054720 472971453182000 532092884829750 567565743818400 597437625072000 681078892582080 709457179773000 756754325091200 830584015344000 851348615727600 896156437608000 945942906364000 1064185769659500 1135131487636800 1362157785164160 1418914359546000 1702697231455200 1792312875216000 1891885812728000 2128371539319000 2270262975273600 2837828719092000 3405394462910400 3783771625456000 4256743078638000 5675657438184000 6810788925820800 8513486157276000 11351314876368000 17026972314552000 34053944629104000
- Sum of all divisors σ(n): 132344725707230400
- Sum of proper divisors (its aliquot sum) s(n): 98290781078126400
- 34053944629104000 is an abundant number, because the sum of its proper divisors (98290781078126400) is greater than itself. Its abundance is 64236836449022400
Bases of 34053944629104000
- Binary: 11110001111101111100001110110001101000110001101100000002
- Hexadecimal: 0x78FBE1D8D18D80
- Base-36: 9BB466XDGG0
Squares and roots of 34053944629104000
- 34053944629104000 squared (340539446291040002) is 1159671144802081168123842816000000
- 34053944629104000 cubed (340539446291040003) is 39491376953059719062312399512248314916864000000000
-
The
square root of 34053944629104000 is 184537109.0840647151 -
The
cube root of 34053944629104000 is 324132.4225919569
Scales and comparisons
How big is 34053944629104000?- 34,053,944,629,104,000 seconds is equal to 1,082,810,103 years, 22 weeks, 5 days, 16 hours.
-
To count from 1 to 34,053,944,629,104,000 would take you about three billion, two hundred forty-eight million, four hundred thirty thousand, three hundred ten 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 34053944629104000 cubic inches would be around 27011 feet tall.
Recreational maths with 34053944629104000
- 34053944629104000 backwards is 00040192644935043
- The number of decimal digits it has is: 17
- The sum of 34053944629104000's digits is 54
- More coming soon!
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"Number 34053944629104000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 34053944629104000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/34053944629104000/
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The information we have on file for 34053944629104000 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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