34099006128000

Names of 34099006128000

• Cardinal: 34099006128000 can be written as Thirty-four trillion, ninety-nine billion, six million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 3.4099006128 × 10¹³

Factors of 34099006128000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 422

Divisors of 34099006128000

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 125 128 132 150 160 165 176 192 200 220 240 242 250 264 275 300 320 330 352 363 375 384 400 401 440 480 484 500 528 550 600 605 640 660 704 726 750 800 802 825 880 960 968 1000 1056 1100 1200 1203 1210 1320 1331 1375 1408 1452 1500 1600 1604 1650 1760 1815 1920 1936 2000 2005 2112 2200 2400 2406 2420 2640 2662 2750 2904 3000 3025 3200 3208 3300 3520 3630 3872 3993 4000 4010 4125 4224 4400 4411 4800 4812 4840 5280 5324 5500 5808 6000 6015 6050 6416 6600 6655 7040 7260 7744 7986 8000 8020 8250 8800 8822 9075 9600 9624 9680 10025 10560 10648 11000 11616 12000 12030 12100 12832 13200 13233 13310 14520 14641 15125 15488 15972 16000 16040 16500 17600 17644 18150 19248 19360 19965 20050 21120 21296 22000 22055 23232 24000 24060 24200 25664 26400 26466 26620 29040 29282 30075 30250 31944 32080 33000 33275 35200 35288 36300 38496 38720 39930 40100 42592 43923 44000 44110 45375 46464 48000 48120 48400 48521 50125 51328 52800 52932 53240 58080 58564 60150 60500 63888 64160 66000 66165 66550 70576 72600 73205 76992 77440 79860 80200 85184 87846 88000 88220 90750 96240 96800 97042 99825 100250 105600 105864 106480 110275 116160 117128 120300 121000 127776 128320 132000 132330 133100 141152 145200 145563 146410 150375 153984 159720 160400 161051 166375 170368 175692 176000 176440 181500 192480 193600 194084 199650 200500 211728 212960 219615 220550 232320 234256 240600 242000 242605 255552 256640 264000 264660 266200 282304 290400 291126 292820 300750 319440 320800 322102 330825 332750 351384 352880 363000 366025 384960 387200 388168 399300 401000 423456 425920 439230 441100 468512 481200 483153 484000 485210 499125 511104 528000 529320 532400 533731 551375 564608 580800 582252 585640 601500 638880 641600 644204 661650 665500 702768 705760 726000 727815 732050 769920 776336 798600 802000 805255 846912 851840 878460 882200 937024 962400 966306 968000 970420 998250 1058640 1064800 1067462 1098075 1102750 1161600 1164504 1171280 1203000 1213025 1277760 1283200 1288408 1323300 1331000 1405536 1411520 1452000 1455630 1464100 1552672 1597200 1601193 1604000 1610510 1654125 1693824 1756920 1764400 1771561 1830125 1874048 1924800 1932612 1936000 1940840 1996500 2117280 2129600 2134924 2196150 2205500 2329008 2342560 2406000 2415765 2426050 2555520 2576816 2646600 2662000 2668655 2811072 2823040 2904000 2911260 2928200 3105344 3194400 3202386 3208000 3221020 3308250 3513840 3528800 3543122 3639075 3660250 3849600 3865224 3881680 3993000 4026275 4234560 4259200 4269848 4392300 4411000 4658016 4685120 4812000 4831530 4852100 5153632 5293200 5314683 5324000 5337310 5490375 5622144 5808000 5822520 5856400 5871041 6065125 6210688 6388800 6404772 6416000 6442040 6616500 7027680 7057600 7086244 7278150 7320500 7730448 7763360 7986000 8005965 8052550 8469120 8539696 8784600 8822000 8857805 9316032 9370240 9624000 9663060 9704200 10307264 10586400 10629366 10648000 10674620 10980750 11645040 11712800 11742082 12078825 12130250 12777600 12809544 12884080 13233000 13343275 14055360 14115200 14172488 14556300 14641000 15460896 15526720 15972000 16011930 16105100 17079392 17569200 17613123 17644000 17715610 18195375 18632064 19248000 19326120 19408400 20131375 20614528 21172800 21258732 21296000 21349240 21961500 23290080 23425600 23484164 24157650 24260500 25619088 25768160 26466000 26573415 26686550 28110720 28344976 29112600 29282000 29355205 30921792 31053440 31944000 32023860 32210200 34158784 35138400 35226246 35288000 35431220 36390750 38652240 38816800 40029825 40262750 42345600 42517464 42698480 43923000 44289025 46580160 46851200 46968328 48315300 48521000 51238176 51536320 52932000 53146830 53373100 56689952 58225200 58564000 58710410 60394125 61843584 63888000 64047720 64420400 64581451 66716375 68317568 70276800 70452492 70576000 70862440 72781500 77304480 77633600 80059650 80525500 85034928 85396960 87846000 88065615 88578050 93160320 93936656 96630600 97042000 102476352 103072640 105864000 106293660 106746200 113379904 116450400 117128000 117420820 120788250 128095440 128840800 129162902 132867075 133432750 140553600 140904984 141724880 145563000 146776025 154608960 155267200 160119300 161051000 170069856 170793920 175692000 176131230 177156100 187873312 193261200 193744353 194084000 200149125 204952704 211728000 212587320 213492400 221445125 226759808 232900800 234256000 234841640 241576500 256190880 257681600 258325804 265734150 266865500 281809968 283449760 291126000 293552050 309217920 320238600 322102000 322907255 340139712 341587840 351384000 352262460 354312200 375746624 386522400 387488706 388168000 400298250 425174640 426984800 440328075 442890250 465801600 469683280 483153000 512381760 515363200 516651608 531468300 533731000 563619936 566899520 582252000 587104100 640477200 644204000 645814510 664335375 680279424 702768000 704524920 708624400 710395961 733880125 751493248 773044800 774977412 776336000 800596500 850349280 853969600 880656150 885780500 939366560 966306000 968721765 1024763520 1033303216 1062936600 1067462000 1127239872 1133799040 1164504000 1174208200 1280954400 1288408000 1291629020 1328670750 1409049840 1417248800 1420791922 1467760250 1546089600 1549954824 1601193000 1614536275 1700698560 1707939200 1761312300 1771561000 1878733120 1932612000 1937443530 2066606432 2125873200 2131187883 2134924000 2201640375 2254479744 2329008000 2348416400 2561908800 2576816000 2583258040 2657341500 2818099680 2834497600 2841583844 2935520500 3099909648 3202386000 3229072550 3401397120 3522624600 3543122000 3551979805 3757466240 3865224000 3874887060 4133212864 4251746400 4262375766 4269848000 4403280750 4696832800 4843608825 5123817600 5166516080 5314683000 5636199360 5668995200 5683167688 5871041000 6199819296 6404772000 6458145100 7045249200 7086244000 7103959610 7730448000 7749774120 8072681375 8266425728 8503492800 8524751532 8539696000 8806561500 9393665600 9687217650 10333032160 10629366000 10655939415 11272398720 11366335376 11742082000 12399638592 12809544000 12916290200 14090498400 14172488000 14207919220 15499548240 16145362750 17006985600 17049503064 17613123000 17759899025 18787331200 19374435300 20666064320 21258732000 21311878830 22732670752 23484164000 24218044125 24799277184 25619088000 25832580400 28180996800 28344976000 28415838440 30999096480 32290725500 34099006128 35226246000 35519798050 38748870600 41332128640 42517464000 42623757660 45465341504 46968328000 48436088250 51665160800 53279697075 56361993600 56831676880 61998192960 64581451000 68198012256 70452492000 71039596100 77497741200 85034928000 85247515320 88799495125 90930683008 93936656000 96872176500 103330321600 106559394150 113663353760 123996385920 129162902000 136396024512 140904984000 142079192200 154995482400 170495030640 177598990250 193744353000 206660643200 213118788300 227326707520 258325804000 266398485375 272792049024 281809968000 284158384400 309990964800 340990061280 355197980500 387488706000 426237576600 454653415040 516651608000 532796970750 568316768800 619981929600 681980122560 710395961000 774977412000 852475153200 1033303216000 1065593941500 1136633537600 1363960245120 1420791922000 1549954824000 1704950306400 2131187883000 2273267075200 2841583844000 3099909648000 3409900612800 4262375766000 5683167688000 6819801225600 8524751532000 11366335376000 17049503064000 34099006128000
• Sum of all divisors σ(n): 124652099314080
• Sum of proper divisors (its aliquot sum) s(n): 90553093186080
• 34099006128000 is an abundant number, because the sum of its proper divisors (90553093186080) is greater than itself. Its abundance is 56454087058080

Bases of 34099006128000

• Binary: 111110000001101001011001001011011111110000000₂
• Hexadecimal: 0x1F034B25BF80
• Base-36: C34V7U6IO

Squares and roots of 34099006128000

• 34099006128000 squared (34099006128000²) is 1162742218917381552384000000
• 34099006128000 cubed (34099006128000³) is 39648354048148111080456169009152000000000
• The square root of 34099006128000 is 5839435.4288749523
• The cube root of 34099006128000 is 32427.5327771103

Scales and comparisons

• 34,099,006,128,000 seconds is equal to 1,084,242 years, 47 weeks, 5 days, 18 hours, 40 minutes.
• To count from 1 to 34,099,006,128,000 would take you about two million, seven hundred ten thousand, six hundred seven 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 34099006128000 cubic inches would be around 2702.3 feet tall.

Recreational maths with 34099006128000

• 34099006128000 backwards is 00082160099043
• The number of decimal digits it has is: 14
• The sum of 34099006128000's digits is 42
• More coming soon!