3948879440540448

Names of 3948879440540448

• Cardinal: 3948879440540448 can be written as Three quadrillion, nine hundred forty-eight trillion, eight hundred seventy-nine billion, four hundred forty million, five hundred forty thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 3.948879440540448 × 10¹⁵

Factors of 3948879440540448

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3340

Divisors of 3948879440540448

• Number of divisors d(n): 486
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 67 68 72 96 102 134 136 144 153 201 204 268 272 288 289 306 402 408 536 544 578 603 612 804 816 867 1072 1139 1156 1206 1224 1608 1632 1734 2144 2278 2312 2412 2448 2601 3216 3251 3417 3468 4489 4556 4624 4824 4896 5202 6432 6502 6834 6936 8978 9112 9248 9648 9753 10251 10404 13004 13467 13668 13872 17956 18224 19296 19363 19506 20502 20808 26008 26934 27336 27744 29259 35912 36448 38726 39012 40401 41004 41616 52016 53868 54672 55267 58089 58518 71824 76313 77452 78024 80802 82008 83232 104032 107736 109344 110534 116178 117036 143648 152626 154904 156048 161604 164016 165801 174267 215472 217817 221068 228939 232356 234072 305252 309808 312096 323208 328032 331602 348534 430944 435634 442136 457878 464712 468144 497403 610504 619616 646416 653451 663204 686817 697068 871268 884272 915756 929424 936288 939539 994806 1221008 1292832 1297321 1306902 1326408 1373634 1394136 1742536 1768544 1831512 1858848 1879078 1960353 1989612 2442016 2594642 2613804 2652816 2747268 2788272 2818617 3485072 3663024 3702889 3758156 3891963 3920706 3979224 5189284 5227608 5305632 5494536 5576544 5637234 6970144 7326048 7405778 7516312 7783926 7841412 7958448 8455851 10378568 10455216 10569001 10989072 11108667 11274468 11675889 14593739 14811556 15032624 15567852 15682824 15916896 16911702 20757136 20910432 21138002 21978144 22217334 22548936 23351778 29187478 29623112 30065248 31135704 31365648 31707003 33326001 33823404 41514272 42276004 43781217 44434668 45097872 46703556 58374956 59246224 62271408 62731296 62949113 63414006 66652002 67646808 84552008 87562434 88869336 90195744 93407112 95121009 116749912 118492448 124542816 125898226 126828012 131343651 133304004 135293616 169104016 175124868 177738672 179673017 186814224 188847339 190242018 233499824 248093563 251796452 253656024 262687302 266608008 270587232 338208032 350249736 355477344 359346034 373628448 377694678 380484036 466999648 496187126 503592904 507312048 525374604 533216016 539019051 566542017 700499472 708123067 718692068 744280689 755389356 760968072 992374252 1007185808 1014624096 1050749208 1066432032 1078038102 1133084034 1400998944 1416246134 1437384136 1488561378 1510778712 1521936144 1617057153 1984748504 2014371616 2101498416 2124369201 2156076204 2232842067 2266168068 2832492268 2874768272 2977122756 3021557424 3043872288 3054441289 3234114306 3969497008 4202996832 4217590571 4248738402 4312152408 4465684134 4532336136 5664984536 5749536544 5954245512 6043114848 6108882578 6373107603 6468228612 7938994016 8435181142 8497476804 8624304816 8931368268 9064672272 9163323867 11329969072 11908491024 12038092139 12217765156 12652771713 12746215206 12936457224 16870362284 16994953608 17248609632 17862736536 18129344544 18326647734 22659938144 23816982048 24076184278 24435530312 25305543426 25492430412 25872914448 27489971601 33740724568 33989907216 35725473072 36114276417 36653295468 37958315139 47444245489 48152368556 48871060624 50611086852 50984860824 51745828896 54979943202 67481449136 67979814432 71450946144 72228552834 73306590936 75916630278 94888490978 96304737112 97742121248 101222173704 101969721648 108342829251 109959886404 134962898272 142332736467 144457105668 146613181872 151833260556 189776981956 192609474224 202444347408 203939443296 204647566363 216685658502 219919772808 284665472934 288914211336 293226363744 303666521112 379553963912 385218948448 404888694816 409295132726 426998209401 433371317004 439839545616 569330945868 577828422672 607333042224 613942699089 759107927824 806552173313 818590265452 853996418802 866742634008 879679091232 1138661891736 1155656845344 1214666084448 1227885398178 1518215855648 1613104346626 1637180530904 1707992837604 1733485268016 1841828097267 2277323783472 2419656519939 2455770796356 3226208693252 3274361061808 3415985675208 3466970536032 3683656194534 4554647566944 4839313039878 4911541592712 6452417386504 6548722123616 6831971350416 7258969559817 7367312389068 9678626079756 9823083185424 12904834773008 13663942700832 13711386946321 14517939119634 14734624778136 19357252159512 19646166370848 25809669546016 27422773892642 29035878239268 29469249556272 38714504319024 41134160838963 54845547785284 58071756478536 58938499112544 77429008638048 82268321677926 109691095570568 116143512957072 123402482516889 164536643355852 219382191141136 232287025914144 246804965033778 329073286711704 438764382282272 493609930067556 658146573423408 987219860135112 1316293146846816 1974439720270224 3948879440540448
• Sum of all divisors σ(n): 12113477955917793
• Sum of proper divisors (its aliquot sum) s(n): 8164598515377345
• 3948879440540448 is an abundant number, because the sum of its proper divisors (8164598515377345) is greater than itself. Its abundance is 4215719074836897

Bases of 3948879440540448

• Binary: 1110000001110111110000100100010100000111001100100000₂
• Hexadecimal: 0xE077C24507320
• Base-36: 12VRE65UO80

Squares and roots of 3948879440540448

• 3948879440540448 squared (3948879440540448²) is 15593648835923041591470324040704
• 3948879440540448 cubed (3948879440540448³) is 61577439291183988688898977956500702412910395392
• The square root of 3948879440540448 is 62840110.1251457705
• The cube root of 3948879440540448 is 158060.9635030415

Scales and comparisons

• 3,948,879,440,540,448 seconds is equal to 125,562,151 years, 27 weeks, 1 day, 9 hours, 40 minutes, 48 seconds.
• To count from 1 to 3,948,879,440,540,448 would take you about three hundred seventy-six million, six hundred eighty-six thousand, four 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 3948879440540448 cubic inches would be around 13171.7 feet tall.

Recreational maths with 3948879440540448

• 3948879440540448 backwards is 8440450449788493
• The number of decimal digits it has is: 16
• The sum of 3948879440540448's digits is 81
• More coming soon!