448192831912992

Names of 448192831912992

• Cardinal: 448192831912992 can be written as Four hundred forty-eight trillion, one hundred ninety-two billion, eight hundred thirty-one million, nine hundred twelve thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 4.48192831912992 × 10¹⁴

Factors of 448192831912992

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 4036

Divisors of 448192831912992

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 181 204 216 243 272 288 306 324 362 408 432 459 486 543 544 612 648 724 729 816 864 918 972 1086 1224 1296 1377 1448 1458 1629 1632 1836 1944 2172 2187 2448 2592 2754 2896 2916 3077 3258 3672 3833 3888 4131 4344 4374 4887 4896 5508 5792 5832 6154 6516 6561 7344 7666 7776 8262 8688 8748 9231 9774 11016 11499 11664 12308 12393 13032 13122 14661 14688 15332 16524 17376 17496 18462 19548 22032 22998 23328 24616 24786 26064 26244 27693 29322 30664 32761 33048 34497 34992 36924 37179 39096 43983 44064 45996 49232 49572 52128 52488 55386 58644 61328 65161 65522 66096 68994 69984 73848 74358 78192 83079 87966 91992 98283 98464 99144 103491 104976 110772 111537 117288 122656 130322 131044 131949 132192 137988 147696 148716 156384 166158 175932 183984 195483 196566 198288 206982 209952 221544 223074 234576 249237 260644 262088 263898 275976 294849 295392 297432 310473 332316 351864 367968 390966 393132 395847 396576 413964 443088 446148 469152 498474 521288 524176 527796 551952 556937 586449 589698 594864 620946 664632 693773 703728 747711 781932 786264 791694 827928 884547 886176 892296 931419 996948 1042576 1048352 1055592 1103904 1113874 1172898 1179396 1187541 1189728 1241892 1329264 1387546 1407456 1495422 1563864 1572528 1583388 1655856 1670811 1759347 1769094 1784592 1862838 1993896 2081319 2085152 2111184 2227748 2243133 2345796 2358792 2375082 2483784 2653641 2658528 2775092 2794257 2990844 3127728 3145056 3166776 3311712 3341622 3518694 3538188 3569184 3725676 3987792 4162638 4222368 4455496 4486266 4691592 4717584 4750164 4967568 5012433 5278041 5307282 5550184 5588514 5981688 6243957 6255456 6333552 6683244 6729399 7037388 7076376 7451352 7960923 7975584 8325276 8382771 8910992 8972532 9383184 9435168 9500328 9935136 10024866 10556082 10614564 11100368 11177028 11794141 11963376 12487914 12667104 13366488 13458798 14074776 14152752 14902704 15037299 15834123 15921846 16650552 16765542 17821984 17945064 18731871 18766368 19000656 20049732 20188197 21112164 21229128 22200736 22354056 23588282 23882769 23926752 24975828 25148313 26732976 26917596 28149552 28305504 29805408 30074598 31668246 31843692 33301104 33531084 35382423 35890128 37463742 38001312 40099464 40376394 42224328 42458256 44708112 45111897 47176564 47502369 47765538 49951656 50296626 53465952 53835192 56195613 56299104 60149196 63336492 63687384 66602208 67062168 70764846 71648307 71780256 74927484 80198928 80752788 84448656 84916512 89416224 90223794 94353128 95004738 95531076 99903312 100593252 106147269 107670384 112391226 120298392 125572913 126672984 127374768 134124336 135335691 141529692 142507107 143296614 149854968 160397856 161505576 168586839 168897312 180447588 188706256 190009476 191062152 199806624 201186504 212294538 214944921 215340768 224782452 240596784 251145826 253345968 254749536 268248672 270671382 283059384 285014214 286593228 299709936 318441807 323011152 337173678 360895176 376718739 377412512 380018952 382124304 402373008 406007073 424589076 427521321 429889842 449564904 481193568 502291652 505760517 506691936 541342764 566118768 570028428 573186456 599419872 636883614 646022304 674347356 721790352 753437478 760037904 764248608 804746016 812014146 849178152 855042642 859779684 899129808 955325421 1004583304 1011521034 1082685528 1130156217 1132237536 1140056856 1146372912 1218021219 1273767228 1348694712 1443580704 1506874956 1517281551 1520075808 1624028292 1698356304 1710085284 1719559368 1798259616 1910650842 2009166608 2023042068 2134739521 2165371056 2260312434 2280113712 2292745824 2436042438 2547534456 2697389424 2865976263 3013749912 3034563102 3248056584 3390468651 3396712608 3420170568 3439118736 3654063657 3821301684 4018333216 4046084136 4269479042 4330742112 4520624868 4551844653 4560227424 4872084876 5095068912 5394778848 5731952526 6027499824 6069126204 6404218563 6496113168 6780937302 6840341136 6878237472 7308127314 7642603368 8092168272 8538958084 8597928789 9041249736 9103689306 9744169752 10171405953 10190137824 11463905052 12054999648 12138252408 12808437126 12992226336 13561874604 13680682272 14616254628 15285206736 16184336544 17077916168 17195857578 18082499472 18207378612 19212655689 19488339504 20342811906 22927810104 24276504816 25616874252 25793786367 27123749208 29232509256 30514217859 30570413472 34155832336 34391715156 36164998944 36414757224 38425311378 38976679008 40685623812 45855620208 48553009632 51233748504 51587572734 54247498416 57637967067 58465018512 61028435718 68311664672 68783430312 72829514448 76850622756 77381359101 81371247624 91542653577 91711240416 102467497008 103175145468 108494996832 115275934134 116930037024 122056871436 137566860624 145659028896 153701245512 154762718202 162742495248 172913901201 183085307154 204934994016 206350290936 230551868268 244113742872 274627960731 275133721248 307402491024 309525436404 325484990496 345827802402 366170614308 412700581872 461103736536 488227485744 518741703603 549255921462 614804982048 619050872808 691655604804 732341228616 823883882193 825401163744 922207473072 976454971488 1037483407206 1098511842924 1238101745616 1383311209608 1464682457232 1556225110809 1647767764386 1844414946144 2074966814412 2197023685848 2476203491232 2766622419216 2929364914464 3112450221618 3295535528772 4149933628824 4394047371696 4668675332427 5533244838432 6224900443236 6591071057544 8299867257648 8788094743392 9337350664854 12449800886472 13182142115088 14006025997281 16599734515296 18674701329708 24899601772944 26364284230176 28012051994562 37349402659416 49799203545888 56024103989124 74698805318832 112048207978248 149397610637664 224096415956496 448192831912992
• Sum of all divisors σ(n): 1409507987060628
• Sum of proper divisors (its aliquot sum) s(n): 961315155147636
• 448192831912992 is an abundant number, because the sum of its proper divisors (961315155147636) is greater than itself. Its abundance is 513122323234644

Bases of 448192831912992

• Binary: 1100101111010000100000110100010010111110000100000₂
• Hexadecimal: 0x197A106897C20
• Base-36: 4EVCY04I00

Squares and roots of 448192831912992

• 448192831912992 squared (448192831912992²) is 200876814578187500154258392064
• 448192831912992 cubed (448192831912992³) is 90031548391458851238318567585508771071295488
• The square root of 448192831912992 is 21170565.2242209159
• The cube root of 448192831912992 is 76528.2241343303

Scales and comparisons

• 448,192,831,912,992 seconds is equal to 14,251,145 years, 36 weeks, 4 days, 43 minutes, 12 seconds.
• To count from 1 to 448,192,831,912,992 would take you about thirty-five million, six hundred twenty-seven thousand, eight hundred sixty-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 448192831912992 cubic inches would be around 6377.4 feet tall.

Recreational maths with 448192831912992

• 448192831912992 backwards is 299219138291844
• 448192831912992 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 448192831912992's digits is 72
• More coming soon!