3998097362190976

Names of 3998097362190976

• Cardinal: 3998097362190976 can be written as Three quadrillion, nine hundred ninety-eight trillion, ninety-seven billion, three hundred sixty-two million, one hundred ninety thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 3.998097362190976 × 10¹⁵

Factors of 3998097362190976

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 7120

Divisors of 3998097362190976

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 8 11 16 22 32 41 44 64 82 88 121 128 149 164 176 242 298 328 352 451 484 596 656 704 902 968 1192 1312 1408 1639 1681 1804 1936 2384 2624 3278 3362 3608 3872 4768 4961 5248 6109 6556 6724 6917 7216 7744 9536 9922 12218 13112 13448 13834 14432 15488 18029 18491 19072 19844 22201 24436 26224 26896 27668 28864 36058 36982 39688 44402 48872 52448 53792 55336 57728 67199 72116 73964 76087 79376 88804 97744 104896 107584 110672 134398 144232 147928 152174 158752 177608 195488 203401 209792 215168 221344 244211 250469 268796 283597 288464 295856 304348 317504 355216 390976 406802 442688 488422 500938 537592 567194 576928 591712 608696 635008 710432 739189 781952 813604 836957 885376 910241 976844 1001876 1030633 1075184 1134388 1153856 1183424 1217392 1420864 1478378 1627208 1673914 1820482 1953688 2003752 2061266 2150368 2268776 2307712 2366848 2434784 2686321 2755159 2841728 2956756 3119567 3254416 3347828 3640964 3907376 4007504 4122532 4300736 4537552 4869568 5372642 5510318 5913512 6239134 6508832 6695656 7281928 7814752 8015008 8245064 8601472 9075104 9739136 10012651 10745284 11020636 11336963 11627477 11827024 12478268 13017664 13391312 14563856 15629504 16030016 16490128 18150208 20025302 21490568 22041272 22673926 23254954 23654048 24956536 26035328 26782624 29127712 30306749 31259008 32060032 32980256 34315237 36300416 37319881 40050604 42255953 42981136 44082544 45347852 46509908 47308096 49913072 53565248 58255424 60613498 65960512 68630474 74639762 80101208 84511906 85962272 88165088 90695704 93019816 94616192 99826144 107130496 110139161 116510848 121226996 124706593 127902247 131921024 137260948 149279524 153564317 160202416 169023812 171924544 176330176 181391408 186039632 199652288 220278322 242453992 249413186 255804494 274521896 298559048 307128634 320404832 338047624 343849088 352660352 362782816 372079264 399304576 410518691 440556644 464815483 484907984 498826372 511608988 549043792 597118096 614257268 640809664 676095248 725565632 744158528 821037382 881113288 929630966 969815968 997652744 1023217976 1098087584 1194236192 1228514536 1281619328 1352190496 1406924717 1451131264 1488317056 1642074764 1689207487 1732494073 1762226576 1859261932 1939631936 1995305488 2046435952 2196175168 2388472384 2457029072 2704380992 2813849434 3284149528 3378414974 3464988146 3524453152 3718523864 3879263872 3990610976 4092871904 4392350336 4515705601 4776944768 4914058144 5112970313 5408761984 5627698868 6296136997 6568299056 6756829948 6929976292 7048906304 7437047728 7981221952 8185743808 9031411202 9828116288 10225940626 11255397736 12592273994 13136598112 13513659896 13859952584 14097812608 14874095456 15962443904 16371487616 18062822404 18581282357 19057434803 19656232576 20451881252 22510795472 25184547988 26273196224 27027319792 27719905168 29748190912 36125644808 37162564714 38114869606 40903762504 45021590944 50369095976 52546392448 54054639584 55439810336 59496381824 69257506967 72251289616 74325129428 76229739212 81807525008 90043181888 100738191952 108109279168 110879620672 138515013934 144502579232 148650258856 152459478424 163615050016 180086363776 201476383904 209631782833 216218558336 221759241344 258141616877 277030027868 289005158464 297300517712 304918956848 327230100032 402952767808 419263565666 516283233754 554060055736 578010316928 594601035424 609837913696 654460200064 761832576637 805905535616 838527131332 1032566467508 1108120111472 1189202070848 1219675827392 1523665153274 1677054262664 2065132935016 2216240222944 2378404141696 2439351654784 2839557785647 3047330306548 3354108525328 4130265870032 4432480445888 5679115571294 6094660613096 6708217050656 8260531740064 8864960891776 11358231142588 12189321226192 13416434101312 16521063480128 22716462285176 24378642452384 26832868202624 31235135642117 33042126960256 45432924570352 48757284904768 62470271284234 90865849140704 97514569809536 124940542568468 181731698281408 249881085136936 363463396562816 499762170273872 999524340547744 1999048681095488 3998097362190976
• Sum of all divisors σ(n): 9035550449028810
• Sum of proper divisors (its aliquot sum) s(n): 5037453086837834
• 3998097362190976 is an abundant number, because the sum of its proper divisors (5037453086837834) is greater than itself. Its abundance is 1039355724646858

Bases of 3998097362190976

• Binary: 1110001101000011111110010101000011010000001010000000₂
• Hexadecimal: 0xE343F950D0280
• Base-36: 13D7GKLMT8G

Squares and roots of 3998097362190976

• 3998097362190976 squared (3998097362190976²) is 15984782517558440327647095832576
• 3998097362190976 cubed (3998097362190976³) is 63908716818646828780873510215196031038234034176
• The square root of 3998097362190976 is 63230509.7416664513
• The cube root of 3998097362190976 is 158714.9324613517

Scales and comparisons

• 3,998,097,362,190,976 seconds is equal to 127,127,129 years, 9 weeks, 6 days, 8 hours, 36 minutes, 16 seconds.
• To count from 1 to 3,998,097,362,190,976 would take you about three hundred eighty-one million, three hundred eighty-one thousand, three hundred eighty-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 3998097362190976 cubic inches would be around 13226.2 feet tall.

Recreational maths with 3998097362190976

• 3998097362190976 backwards is 6790912637908993
• 3998097362190976 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 3998097362190976's digits is 88
• More coming soon!