3450081648000
3,450,081,648,000 is an even composite number composed of six prime numbers multiplied together.
3450081648000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 3450081648000:
27 × 3 × 53 × 13 × 1132 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 113 × 113 × 433)See below for interesting mathematical facts about the number 3450081648000 from the Numbermatics database.
Names of 3450081648000
- Cardinal: 3450081648000 can be written as Three trillion, four hundred fifty billion, eighty-one million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 3.450081648 × 1012
Factors of 3450081648000
Divisors of 3450081648000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 113 120 125 128 130 150 156 160 192 195 200 208 226 240 250 260 300 312 320 325 339 375 384 390 400 416 433 452 480 500 520 565 600 624 640 650 678 750 780 800 832 866 904 960 975 1000 1040 1130 1200 1248 1299 1300 1356 1469 1500 1560 1600 1625 1664 1695 1732 1808 1920 1950 2000 2080 2165 2260 2400 2496 2598 2600 2712 2825 2938 3000 3120 3200 3250 3390 3464 3616 3900 4000 4160 4330 4407 4520 4800 4875 4992 5196 5200 5424 5629 5650 5876 6000 6240 6495 6500 6780 6928 7232 7345 7800 8000 8320 8475 8660 8814 9040 9600 9750 10392 10400 10825 10848 11258 11300 11752 12000 12480 12769 12990 13000 13560 13856 14125 14464 14690 15600 16000 16887 16950 17320 17628 18080 19500 20784 20800 21650 21696 22035 22516 22600 23504 24000 24960 25538 25980 26000 27120 27712 28145 28250 29380 31200 32475 33774 33900 34640 35256 36160 36725 38307 39000 41568 41600 42375 43300 43392 44070 45032 45200 47008 48000 48929 51076 51960 52000 54125 54240 55424 56290 56500 58760 62400 63845 64950 67548 67800 69280 70512 72320 73450 76614 78000 83136 84435 84750 86600 88140 90064 90400 94016 97858 102152 103920 104000 108250 108480 110175 112580 113000 117520 124800 127690 129900 135096 135600 138560 140725 141024 146787 146900 153228 156000 162375 165997 166272 168870 169500 173200 176280 180128 180800 183625 188032 191535 195716 204304 207840 208000 216500 216960 220350 225160 226000 235040 244645 255380 259800 270192 271200 277120 281450 282048 293574 293800 306456 312000 319225 324750 331994 337740 339000 346400 352560 360256 361600 367250 383070 391432 408608 415680 422175 433000 440700 450320 452000 470080 489290 497991 510760 519600 540384 542400 550875 562900 564096 587148 587600 612912 624000 636077 638450 649500 663988 675480 678000 692800 703625 705120 720512 733935 734500 766140 782864 817216 829985 831360 844350 866000 881400 900640 904000 940160 957675 978580 995982 1021520 1039200 1080768 1084800 1101750 1125800 1174296 1175200 1223225 1225824 1272154 1276900 1299000 1327976 1350960 1356000 1385600 1407250 1410240 1467870 1469000 1532280 1565728 1596125 1634432 1659970 1688700 1732000 1762800 1801280 1808000 1908231 1915350 1957160 1991964 2043040 2078400 2110875 2161536 2203500 2251600 2348592 2350400 2446450 2451648 2489955 2544308 2553800 2598000 2655952 2701920 2712000 2814500 2820480 2935740 2938000 3064560 3131456 3180385 3192250 3319940 3377400 3464000 3525600 3602560 3669675 3816462 3830700 3914320 3983928 4086080 4149925 4156800 4221750 4407000 4503200 4697184 4700800 4788375 4892900 4903296 4979910 5088616 5107600 5196000 5311904 5403840 5424000 5528977 5629000 5871480 5876000 6116125 6129120 6262912 6360770 6384500 6639880 6754800 6928000 7051200 7339350 7632924 7661400 7828640 7967856 8172160 8299850 8443500 8814000 9006400 9394368 9541155 9576750 9785800 9959820 10177232 10215200 10392000 10623808 10807680 11057954 11258000 11742960 11752000 12232250 12258240 12449775 12721540 12769000 13279760 13509600 14102400 14678700 15265848 15322800 15657280 15901925 15935712 16586931 16599700 16887000 17628000 18012800 18348375 18788736 19082310 19153500 19571600 19919640 20354464 20430400 20749625 20784000 21247616 22115908 22516000 23485920 23504000 24464500 24516480 24899550 25443080 25538000 26559520 27019200 27644885 29357400 30531696 30645600 31314560 31803850 31871424 33173862 33199400 33774000 35256000 36696750 38164620 38307000 39143200 39839280 40708928 40860800 41499250 44231816 45032000 46971840 47705775 48929000 49799100 50886160 51076000 53119040 54038400 55289770 58714800 61063392 61291200 62248875 63607700 63742848 66347724 66398800 67548000 70512000 71876701 73393500 76329240 76614000 78286400 79509625 79678560 81417856 82934655 82998500 88463632 90064000 93943680 95411550 97858000 99598200 101772320 102152000 106238080 110579540 117429600 122126784 122582400 124497750 127215400 132695448 132797600 135096000 138224425 143753402 146787000 152658480 153228000 156572800 159019250 159357120 165869310 165997000 176927264 190823100 195716000 199196400 203544640 204304000 215630103 221159080 234859200 238528875 244253568 248995500 254430800 265390896 265595200 270192000 276448850 287506804 293574000 305316960 306456000 318038500 318714240 331738620 331994000 353854528 359383505 381646200 391432000 398392800 407089280 414673275 431260206 442318160 469718400 477057750 497991000 508861600 530781792 531190400 552897700 575013608 587148000 610633920 612912000 636077000 663477240 663988000 691122125 707709056 718767010 763292400 782864000 796785600 829346550 862520412 884636320 954115500 995982000 1017723200 1061563584 1078150515 1105795400 1150027216 1174296000 1221267840 1272154000 1326954480 1327976000 1382244250 1437534020 1526584800 1593571200 1658693100 1725040824 1769272640 1796917525 1908231000 1991964000 2035446400 2073366375 2123127168 2156301030 2211590800 2300054432 2348592000 2544308000 2653908960 2655952000 2764488500 2875068040 3053169600 3317386200 3450081648 3538545280 3593835050 3816462000 3983928000 4146732750 4312602060 4423181600 4600108864 5088616000 5307817920 5390752575 5528977000 5750136080 6106339200 6634772400 6900163296 7187670100 7632924000 7967856000 8293465500 8625204120 8846363200 8984587625 9200217728 10177232000 10615635840 10781505150 11057954000 11500272160 13269544800 13800326592 14375340200 15265848000 16586931000 17250408240 17692726400 17969175250 21563010300 22115908000 23000544320 26539089600 26953762875 27600653184 28750680400 30531696000 33173862000 34500816480 35938350500 43126020600 44231816000 46001088640 53078179200 53907525750 57501360800 66347724000 69001632960 71876701000 86252041200 88463632000 107815051500 115002721600 132695448000 138003265920 143753402000 172504082400 215630103000 230005443200 265390896000 287506804000 345008164800 431260206000 575013608000 690016329600 862520412000 1150027216000 1725040824000 3450081648000
- Sum of all divisors σ(n): 12455453424960
- Sum of proper divisors (its aliquot sum) s(n): 9005371776960
- 3450081648000 is an abundant number, because the sum of its proper divisors (9005371776960) is greater than itself. Its abundance is 5555290128960
Bases of 3450081648000
- Binary: 1100100011010010001110010000011101100000002
- Hexadecimal: 0x32348E41D80
- Base-36: 180Y1J91C
Squares and roots of 3450081648000
- 3450081648000 squared (34500816480002) is 11903063377866395904000000
- 3450081648000 cubed (34500816480003) is 41066540514957741904292769792000000000
-
The
square root of 3450081648000 is 1857439.5408734035 -
The
cube root of 3450081648000 is 15110.4172783761
Scales and comparisons
How big is 3450081648000?- 3,450,081,648,000 seconds is equal to 109,701 years, 48 weeks, 13 hours, 20 minutes.
-
To count from 1 to 3,450,081,648,000 would take you about two hundred seventy-four thousand, two hundred fifty-four 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 3450081648000 cubic inches would be around 1259.2 feet tall.
Recreational maths with 3450081648000
- 3450081648000 backwards is 0008461800543
- 3450081648000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3450081648000's digits is 39
- More coming soon!
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