34129471959985920
34,129,471,959,985,920 is an even composite number composed of five prime numbers multiplied together.
34129471959985920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 34129471959985920:
28 × 3 × 5 × 72 × 181385373937
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 181385373937)See below for interesting mathematical facts about the number 34129471959985920 from the Numbermatics database.
Names of 34129471959985920
- Cardinal: 34129471959985920 can be written as Thirty-four quadrillion, one hundred twenty-nine trillion, four hundred seventy-one billion, nine hundred fifty-nine million, nine hundred eighty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.412947195998592 × 1016
Factors of 34129471959985920
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 181385373954
Divisors of 34129471959985920
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 128 140 147 160 168 192 196 210 224 240 245 256 280 294 320 336 384 392 420 448 480 490 560 588 640 672 735 768 784 840 896 960 980 1120 1176 1280 1344 1470 1568 1680 1792 1920 1960 2240 2352 2688 2940 3136 3360 3840 3920 4480 4704 5376 5880 6272 6720 7840 8960 9408 11760 12544 13440 15680 18816 23520 26880 31360 37632 47040 62720 94080 188160 181385373937 362770747874 544156121811 725541495748 906926869685 1088312243622 1269697617559 1451082991496 1813853739370 2176624487244 2539395235118 2720780609055 2902165982992 3627707478740 3809092852677 4353248974488 5078790470236 5441561218110 5804331965984 6348488087795 7255414957480 7618185705354 8706497948976 8887883322913 10157580940472 10883122436220 11608663931968 12696976175590 14510829914960 15236371410708 17412995897952 17775766645826 19045464263385 20315161880944 21766244872440 23217327863936 25393952351180 26663649968739 29021659829920 30472742821416 34825991795904 35551533291652 38090928526770 40630323761888 43532489744880 44439416614565 46434655727872 50787904702360 53327299937478 58043319659840 60945485642832 69651983591808 71103066583304 76181857053540 81260647523776 87064979489760 88878833229130 101575809404720 106654599874956 116086639319680 121890971285664 133318249843695 139303967183616 142206133166608 152363714107080 162521295047552 174129958979520 177757666458260 203151618809440 213309199749912 232173278639360 243781942571328 266636499687390 284412266333216 304727428214160 325042590095104 348259917959040 355515332916520 406303237618880 426618399499824 487563885142656 533272999374780 568824532666432 609454856428320 696519835918080 711030665833040 812606475237760 853236798999648 975127770285312 1066545998749560 1137649065332864 1218909712856640 1422061331666080 1625212950475520 1706473597999296 2133091997499120 2275298130665728 2437819425713280 2844122663332160 3412947195998592 4266183994998240 4875638851426560 5688245326664320 6825894391997184 8532367989996480 11376490653328640 17064735979992960 34129471959985920
- Sum of all divisors σ(n): 126797082880611024
- Sum of proper divisors (its aliquot sum) s(n): 92667610920625104
- 34129471959985920 is an abundant number, because the sum of its proper divisors (92667610920625104) is greater than itself. Its abundance is 58538138960639184
Bases of 34129471959985920
- Binary: 11110010100000010010010111011001000101111101111000000002
- Hexadecimal: 0x794092EC8BEF00
- Base-36: 9C1VYYW4FEO
Squares and roots of 34129471959985920
- 34129471959985920 squared (341294719599859202) is 1164820856267465155669606598246400
- 34129471959985920 cubed (341294719599859203) is 39754720752387241613046627509689665910040690688000
-
The
square root of 34129471959985920 is 184741635.6969535981 -
The
cube root of 34129471959985920 is 324371.8738585247
Scales and comparisons
How big is 34129471959985920?- 34,129,471,959,985,920 seconds is equal to 1,085,211,638 years, 48 weeks, 5 days, 21 hours, 52 minutes.
-
To count from 1 to 34,129,471,959,985,920 would take you about three billion, two hundred fifty-five million, six hundred thirty-four thousand, nine hundred sixteen 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 34129471959985920 cubic inches would be around 27031 feet tall.
Recreational maths with 34129471959985920
- 34129471959985920 backwards is 02958995917492143
- The number of decimal digits it has is: 17
- The sum of 34129471959985920's digits is 87
- More coming soon!
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