42349967456972400

Names of 42349967456972400

• Cardinal: 42349967456972400 can be written as Forty-two quadrillion, three hundred forty-nine trillion, nine hundred sixty-seven billion, four hundred fifty-six million, nine hundred seventy-two thousand, four hundred.

Scientific notation

• Scientific notation: 4.23499674569724 × 10¹⁶

Factors of 42349967456972400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 17834621

Divisors of 42349967456972400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 97 100 108 120 135 144 150 180 194 200 216 225 240 270 291 300 360 388 400 432 450 485 540 582 600 675 720 776 873 900 970 1080 1164 1200 1350 1455 1552 1746 1800 1940 2160 2267 2328 2425 2619 2700 2910 3492 3600 3880 4365 4534 4656 4850 5238 5400 5820 6801 6984 7275 7760 8730 9068 9700 10476 10800 11335 11640 13095 13602 13968 14550 17460 18136 19400 20403 20952 21825 22670 23280 26190 27204 29100 34005 34920 36272 38800 40806 41904 43650 45340 52380 54408 56675 58200 61209 65475 68010 69840 81612 87300 90680 102015 104760 108816 113350 116400 122418 130950 136020 163224 170025 174600 181360 204030 209520 219899 226700 244836 261900 272040 306045 326448 340050 349200 408060 439798 453400 489672 510075 523800 544080 612090 659697 680100 816120 879596 906800 979344 1020150 1047600 1099495 1224180 1319394 1360200 1530225 1632240 1759192 1979091 2040300 2198990 2448360 2638788 2720400 3060450 3298485 3518384 3958182 4080600 4397980 4896720 5277576 5497475 5937273 6120900 6596970 7916364 8161200 8795960 9895455 10555152 10994950 11874546 12241800 13193940 15832728 16492425 17591920 17832247 19790910 21989900 23749092 24483600 26387880 29686365 31665456 32984850 35664494 39581820 43979800 47498184 49477275 52775760 53496741 59372730 65969700 71328988 79163640 87959600 89161235 94996368 98954550 106993482 118745460 131939400 142657976 148431825 158327280 160490223 178322470 197909100 213986964 237490920 263878800 267483705 285315952 296863650 320980446 356644940 395818200 427973928 445806175 474981840 481470669 534967410 593727300 641960892 713289880 791636400 802451115 855947856 891612350 962941338 1069934820 1187454600 1283921784 1337418525 1426579760 1604902230 1729727959 1783224700 1925882676 2139869640 2374909200 2407353345 2567843568 2674837050 3209804460 3459455918 3566449400 3851765352 4012255575 4279739280 4814706690 5189183877 5349674100 6419608920 6918911836 7132898800 7703530704 8024511150 8648639795 9629413380 10378367754 10699348200 12036766725 12839217840 13837823672 15567551631 16049022300 17297279590 19258826760 20756735508 21398696400 24073533450 25945919385 27675647344 31135103262 32098044600 34594559180 38517653520 40425703949 41513471016 43243198975 46702654893 48147066900 51891838770 62270206524 64196089200 69189118360 77837758155 80851407898 83026942032 86486397950 93405309786 96294133800 103783677540 121277111847 124540413048 129729596925 138378236720 155675516310 161702815796 172972795900 186810619572 192588267600 202128519745 207567355080 233513274465 242554223694 249080826096 259459193850 311351032620 323405631592 345945591800 363831335541 373621239144 389188790775 404257039490 415134710160 467026548930 485108447388 518918387700 606385559235 622702065240 646811263184 691891183600 727662671082 747242478288 778377581550 808514078980 934053097860 970216894776 1010642598725 1037836775400 1091494006623 1167566372325 1212771118470 1245404130480 1455325342164 1556755163100 1617028157960 1819156677705 1868106195720 1940433789552 2021285197450 2075673550800 2182988013246 2335132744650 2425542236940 2910650684328 3031927796175 3113510326200 3234056315920 3638313355410 3736212391440 3921293283053 4042570394900 4365976026492 4670265489300 4851084473880 5457470033115 5821301368656 6063855592350 6227020652400 7276626710820 7842586566106 8085140789800 8731952052984 9095783388525 9340530978600 9702168947760 10914940066230 11763879849159 12127711184700 14553253421640 15685173132212 16170281579600 17463904105968 18191566777050 18681061957200 19606466415265 21829880132460 23527759698318 24255422369400 27287350165575 29106506843280 31370346264424 35291639547477 36383133554100 39212932830530 43659760264920 47055519396636 48510844738800 54574700331150 58819399245795 62740692528848 70583279094954 72766267108200 78425865661060 87319520529840 94111038793272 98032332076325 105874918642431 109149400662300 117638798491590 141166558189908 145532534216400 156851731322120 176458197737385 188222077586544 196064664152650 211749837284862 218298801324600 235277596983180 282333116379816 294096996228975 313703462644240 352916395474770 392129328305300 423499674569724 436597602649200 470555193966360 529374593212155 564666232759632 588193992457950 705832790949540 784258656610600 846999349139448 882290988686925 941110387932720 1058749186424310 1176387984915900 1411665581899080 1568517313221200 1693998698278896 1764581977373850 2117498372848620 2352775969831800 2646872966060775 2823331163798160 3529163954747700 4234996745697240 4705551939663600 5293745932121550 7058327909495400 8469993491394480 10587491864243100 14116655818990800 21174983728486200 42349967456972400
• Sum of all divisors σ(n): 152355662618503680
• Sum of proper divisors (its aliquot sum) s(n): 110005695161531280
• 42349967456972400 is an abundant number, because the sum of its proper divisors (110005695161531280) is greater than itself. Its abundance is 67655727704558880

Bases of 42349967456972400

• Binary: 10010110011101010001001000101110100001011010111001110000₂
• Hexadecimal: 0x9675122E85AE70
• Base-36: BKZT6GS4HO0

Squares and roots of 42349967456972400

• 42349967456972400 squared (42349967456972400²) is 1793519743606621328645374361760000
• 42349967456972400 cubed (42349967456972400³) is 75955502775177895932930163365447532911935424000000
• The square root of 42349967456972400 is 205791077.2044609323
• The cube root of 42349967456972400 is 348565.4683920729

Scales and comparisons

• 42,349,967,456,972,400 seconds is equal to 1,346,597,968 years, 4 weeks, 1 day, 15 hours.
• To count from 1 to 42,349,967,456,972,400 would take you about four billion, thirty-nine million, seven hundred ninety-three thousand, nine hundred 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 42349967456972400 cubic inches would be around 29047.1 feet tall.

Recreational maths with 42349967456972400

• 42349967456972400 backwards is 00427965476994324
• The number of decimal digits it has is: 17
• The sum of 42349967456972400's digits is 81
• More coming soon!