3681331332096

Names of 3681331332096

• Cardinal: 3681331332096 can be written as Three trillion, six hundred eighty-one billion, three hundred thirty-one million, three hundred thirty-two thousand and ninety-six.

Scientific notation

• Scientific notation: 3.681331332096 × 10¹²

Factors of 3681331332096

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 252

Divisors of 3681331332096

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 22 24 31 32 33 34 37 44 48 51 62 64 66 68 74 88 93 96 102 111 124 128 132 136 148 151 176 186 187 192 204 222 248 256 264 272 296 302 341 352 372 374 384 407 408 444 453 496 512 527 528 544 561 592 604 629 682 704 744 748 768 814 816 888 906 992 1023 1024 1054 1056 1088 1122 1147 1184 1208 1221 1258 1364 1369 1408 1488 1496 1536 1581 1628 1632 1661 1776 1812 1887 1984 2046 2108 2112 2176 2244 2294 2368 2416 2442 2516 2567 2728 2738 2816 2976 2992 3072 3162 3256 3264 3322 3441 3552 3624 3774 3968 4092 4107 4216 4224 4352 4488 4588 4681 4736 4832 4884 4983 5032 5134 5456 5476 5587 5632 5797 5952 5984 6324 6512 6528 6644 6882 6919 7104 7248 7548 7701 7936 8184 8214 8432 8448 8704 8976 9176 9362 9472 9664 9768 9966 10064 10268 10912 10952 11174 11264 11594 11904 11968 12617 12648 13024 13056 13288 13764 13838 14043 14208 14496 15059 15096 15402 15872 16368 16428 16761 16864 16896 17391 17408 17952 18352 18724 18944 19328 19499 19536 19932 20128 20536 20757 21824 21904 22348 23188 23273 23808 23936 25234 25296 26048 26112 26576 27528 27676 28086 28237 28416 28992 30118 30192 30804 31744 32736 32856 33522 33728 33792 34782 35904 36704 37448 37851 37888 38656 38998 39072 39864 40256 41072 41514 42439 43648 43808 44696 45177 46376 46546 47616 47872 50468 50592 51491 52096 52224 53152 55056 55352 56172 56474 56832 57984 58497 60236 60384 61457 61608 65472 65712 67044 67456 69564 69819 71808 73408 74896 75702 77312 77996 78144 79577 79728 80512 82144 83028 84711 84878 87296 87616 89392 90354 92752 93092 94979 95232 95744 100936 101184 102982 104192 106304 110112 110704 112344 112948 113664 115968 116994 120472 120768 122914 123216 127317 130944 131424 134088 134912 139128 139638 143616 146816 149792 151404 154473 154624 155992 156288 159154 159456 161024 164288 166056 169422 169756 173197 174592 175232 178784 180708 184371 185504 186184 189958 191488 201872 202368 205964 206719 208384 212608 214489 220224 221408 224688 225896 231936 233988 238731 240944 241536 245828 246432 254634 256003 261888 262848 268176 269824 278256 279276 284937 287232 293632 299584 302808 308946 311984 312576 318308 318912 322048 328576 332112 338844 339512 346394 349184 350464 357568 361416 368742 371008 372368 379916 403744 404736 411928 413438 416768 425216 428978 440448 442816 449376 451792 463872 466829 467976 477462 481888 483072 491656 492864 509268 512006 519591 523776 525696 536352 539648 556512 558552 569874 574464 587264 599168 605616 617892 620157 623968 625152 636616 637824 643467 644096 657152 664224 677688 679024 692788 700928 715136 721463 722832 737484 742016 744736 759832 768009 807488 809472 823856 826876 850432 857956 875347 880896 885632 898752 903584 933658 935952 954924 963776 966144 983312 985728 1018536 1024012 1039182 1044769 1047552 1051392 1072704 1113024 1117104 1139748 1174528 1198336 1211232 1235784 1240314 1247936 1250304 1273232 1275648 1286934 1314304 1328448 1355376 1358048 1385576 1400487 1401856 1430272 1442926 1445664 1474968 1484032 1489472 1519664 1536018 1614976 1618944 1647712 1653752 1700864 1715912 1750694 1761792 1771264 1797504 1807168 1867316 1871904 1905167 1909848 1927552 1932288 1966624 1971456 2037072 2048024 2078364 2089538 2102784 2145408 2164389 2226048 2234208 2273909 2279496 2396672 2422464 2471568 2480628 2495872 2546464 2551296 2573868 2626041 2628608 2656896 2710752 2716096 2771152 2800974 2860544 2885852 2891328 2944349 2949936 2968064 2978944 3039328 3072036 3134307 3229952 3295424 3307504 3431824 3501388 3514223 3523584 3542528 3595008 3614336 3734632 3743808 3810334 3819696 3855104 3933248 3942912 4074144 4096048 4156728 4179076 4205568 4290816 4328778 4452096 4468416 4547818 4558992 4793344 4844928 4943136 4961256 4991744 5092928 5102592 5147736 5252082 5313792 5421504 5432192 5542304 5601948 5715501 5721088 5771704 5782656 5888698 5899872 5936128 5957888 6078656 6144072 6268614 6408289 6459904 6590848 6615008 6821727 6863648 7002776 7028446 7085056 7190016 7228672 7469264 7487616 7620668 7639392 7710208 7866496 7885824 7936093 8148288 8192096 8313456 8358152 8581632 8657556 8833047 8904192 8936832 9095636 9117984 9689856 9886272 9922512 9983488 10185856 10295472 10504164 10542669 10627584 10843008 10864384 11084608 11203896 11431002 11543408 11565312 11777396 11799744 11915776 12157312 12288144 12537228 12816578 12919808 13181696 13230016 13643454 13727296 14005552 14056892 14380032 14457344 14938528 14975232 15241336 15278784 15420416 15732992 15872186 16296576 16384192 16626912 16716304 17163264 17315112 17666094 17808384 17873664 18191272 18235968 19224867 19379712 19772544 19845024 19966976 20371712 20590944 21008328 21085338 21255168 21686016 21728768 22169216 22407792 22862004 23086816 23130624 23554792 23599488 23808279 23831552 24314624 24576288 25074456 25633156 26363392 26460032 27286908 27454592 28011104 28113784 28914688 29877056 29950464 30482672 30557568 31465984 31744372 32387839 32593152 32768384 33253824 33432608 34630224 35332188 35747328 36382544 36471936 38449734 38656453 38759424 39545088 39690048 40743424 41181888 42016656 42170676 43372032 43457536 44338432 44815584 45724008 46173632 46261248 47109584 47198976 47616558 48629248 49152576 50148912 51266312 52726784 52920064 54573816 54909184 56022208 56227568 59754112 59900928 60965344 61115136 62931968 63488744 64775678 65186304 65536768 66507648 66865216 69260448 70491179 70664376 71494656 72765088 72943872 76899468 77312906 79090176 79380096 81486848 82363776 84033312 84341352 86744064 88676864 89631168 91448016 92347264 94219168 94397952 95233116 97163517 97258496 98305152 100297824 102532624 105840128 108940913 109147632 109818368 112044416 112455136 115969359 119508224 121930688 122230272 126977488 129551356 130372608 131073536 133015296 133730432 138520896 140982358 141328752 145530176 145887744 153798936 154625812 158180352 158760192 164727552 168066624 168682704 177353728 179262336 182896032 184694528 188438336 188795904 190466232 194327034 196610304 200595648 205065248 211473537 211680256 217881826 218295264 219636736 224088832 224910272 231938718 239016448 243861376 244460544 253954976 259102712 262147072 266030592 267460864 277041792 281964716 282657504 291060352 291775488 307597872 309251624 317520384 326822739 329455104 336133248 337365408 358524672 365792064 369389056 376876672 380932464 388654068 393220608 401191296 410130496 422947074 435763652 436590528 448177664 449820544 463877436 478032896 487722752 507909952 518205424 532061184 534921728 554083584 563929432 565315008 582120704 615195744 618503248 635040768 653645478 658910208 672266496 674730816 717049344 731584128 738778112 753753344 761864928 777308136 786441216 802382592 820260992 845894148 871527304 873181056 896355328 899641088 927754872 975445504 1015819904 1036410848 1069843456 1108167168 1127858864 1130630016 1164241408 1198350043 1230391488 1237006496 1307290956 1344532992 1349461632 1434098688 1463168256 1507506688 1523729856 1554616272 1604765184 1640521984 1691788296 1743054608 1746362112 1799282176 1855509744 1950891008 2031639808 2072821696 2216334336 2255717728 2261260032 2328482816 2396700086 2460782976 2474012992 2614581912 2689065984 2698923264 2926336512 3015013376 3047459712 3109232544 3209530368 3281043968 3383576592 3486109216 3492724224 3595050129 3598564352 3711019488 4063279616 4145643392 4511435456 4522520064 4793400172 4921565952 4948025984 5229163824 5397846528 5852673024 6094919424 6218465088 6562087936 6767153184 6972218432 6985448448 7190100258 7422038976 8126559232 8291286784 9022870912 9045040128 9586800344 9843131904 9896051968 10458327648 10795693056 12189838848 12436930176 13534306368 13944436864 14380200516 14844077952 16582573568 18045741824 19173600688 19686263808 19792103936 20916655296 24379677696 24873860352 27068612736 27888873728 28760401032 29688155904 33165147136 36091483648 38347201376 39584207872 41833310592 49747720704 54137225472 55777747456 57520802064 59376311808 72182967296 76694402752 83666621184 99495441408 108274450944 111555494912 115041604128 118752623616 153388805504 167333242368 216548901888 230083208256 306777611008 334666484736 460166416512 613555222016 920332833024 1227110444032 1840665666048 3681331332096
• Sum of all divisors σ(n): 12103730601984
• Sum of proper divisors (its aliquot sum) s(n): 8422399269888
• 3681331332096 is an abundant number, because the sum of its proper divisors (8422399269888) is greater than itself. Its abundance is 4741067937792

Bases of 3681331332096

• Binary: 110101100100100000011100100100010000000000₂
• Hexadecimal: 0x35920724400
• Base-36: 1AZ6HMJ9C

Squares and roots of 3681331332096

• 3681331332096 squared (3681331332096²) is 13552200376671709839753216
• 3681331332096 cubed (3681331332096³) is 49890139865484778547256697353180020736
• The square root of 3681331332096 is 1918679.5803614527
• The cube root of 3681331332096 is 15440.7468352899

Scales and comparisons

• 3,681,331,332,096 seconds is equal to 117,054 years, 49 weeks, 2 days, 12 hours, 41 minutes, 36 seconds.
• To count from 1 to 3,681,331,332,096 would take you about two hundred ninety-two thousand, six hundred thirty-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 3681331332096 cubic inches would be around 1286.7 feet tall.

Recreational maths with 3681331332096

• 3681331332096 backwards is 6902331331863
• 3681331332096 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3681331332096's digits is 48
• More coming soon!