106814468528768

Names of 106814468528768

• Cardinal: 106814468528768 can be written as One hundred six trillion, eight hundred fourteen billion, four hundred sixty-eight million, five hundred twenty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.06814468528768 × 10¹⁴

Factors of 106814468528768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 98790

Divisors of 106814468528768

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 49 52 56 64 68 71 77 88 91 98 104 112 119 128 136 142 143 154 176 182 187 196 208 221 224 238 272 284 286 308 352 364 374 392 416 442 448 476 497 539 544 568 572 616 637 704 728 748 781 784 832 833 884 896 923 952 994 1001 1078 1088 1136 1144 1207 1232 1274 1309 1408 1456 1496 1547 1562 1568 1664 1666 1768 1846 1904 1988 2002 2156 2176 2272 2288 2414 2431 2464 2548 2618 2912 2992 3094 3124 3136 3332 3479 3536 3692 3808 3976 4004 4312 4544 4576 4828 4862 4928 5096 5236 5467 5824 5984 6188 6248 6272 6461 6664 6958 7007 7072 7384 7616 7952 8008 8449 8624 9088 9152 9163 9656 9724 9856 10153 10192 10472 10829 10934 11648 11968 12376 12496 12922 13277 13328 13916 14014 14144 14768 15232 15691 15904 16016 16898 17017 17248 18304 18326 19312 19448 20306 20384 20944 21658 21868 23936 24752 24992 25844 26554 26656 27832 28028 28288 29536 31382 31808 32032 33796 34034 34496 36652 38269 38624 38896 40612 40768 41888 43316 43736 45227 49504 49984 51688 53108 53312 55664 56056 59072 59143 62764 63616 64064 67592 68068 68992 71071 73304 76538 77248 77792 81224 81536 83776 86632 87472 90454 92939 98669 99008 99968 103376 106216 106624 109837 111328 112112 118144 118286 119119 125528 128128 135184 136136 142142 146608 153076 154496 155584 162448 167552 172601 173264 174944 180908 185878 197338 198016 206752 212432 219674 222656 224224 236572 238238 251056 270368 272272 284284 293216 306152 311168 324896 345202 346528 349888 361816 371756 394676 413504 424864 439348 445312 448448 473144 476476 497497 502112 540736 544544 568568 586432 612304 649792 650573 690404 690683 693056 699776 723632 743512 768859 789352 827008 849728 878696 896896 946288 952952 994994 1004224 1081472 1085359 1089088 1137136 1172864 1208207 1224608 1282697 1299584 1301146 1380808 1381366 1386112 1447264 1487024 1537718 1578704 1677373 1699456 1757392 1892576 1905904 1989988 2008448 2170718 2178176 2274272 2416414 2449216 2565394 2602292 2761616 2762732 2894528 2974048 3075436 3157408 3354746 3514784 3785152 3811808 3979976 4341436 4548544 4832828 4834781 4898432 5130788 5204584 5523232 5525464 5789056 5948096 6150872 6314816 6709492 7005499 7029568 7570304 7597513 7623616 7959952 8457449 8682872 8978879 9097088 9665656 9669562 10261576 10409168 11046464 11050928 11741611 11896192 12301744 12629632 13418984 14010998 14059136 14109667 15195026 15247232 15919904 16914898 17365744 17957758 18451103 19331312 19339124 20523152 20818336 21805849 22092928 22101856 23483222 24603488 26837968 28021996 28219334 30390052 31839808 33829796 34731488 35915516 36902206 38662624 38678248 41046304 41636672 43611698 44203712 46966444 49038493 49206976 53182591 53675936 56043992 56438668 60780104 62852153 63679616 67659592 69462976 71831032 73804412 77060489 77325248 77356496 82092608 82191277 83273344 87223396 88407424 91071487 93932888 98076986 98413952 98767669 106365182 107351872 112087984 112877336 119093483 121560208 125704306 129157721 135319184 138925952 143662064 147608824 152640943 154120978 154650496 154712992 164185216 164382554 174446792 182142974 187865776 196153972 197535338 212730364 214703744 224175968 225754672 238186966 239864339 243120416 251408612 258315442 270638368 287324128 295217648 305281886 308241956 309425984 328765108 343269451 348893584 364285948 375731552 392307944 395070676 425460728 448351936 451509344 476373932 479728678 486240832 502817224 516630884 539423423 541276736 574648256 590435296 610563772 616483912 618851968 637500409 657530216 686538902 691373683 697787168 728571896 751463104 784615888 790141352 833654381 850921456 896703872 903018688 904104047 952747864 959457356 972481664 1001786357 1005634448 1033261768 1068486601 1078846846 1082553472 1149296512 1180870592 1221127544 1232967824 1275000818 1310028313 1315060432 1373077804 1382747366 1395574336 1457143792 1502926208 1548215279 1569231776 1580282704 1667308762 1679050373 1701842912 1806037376 1808208094 1905495728 1918914712 2003572714 2011268896 2066523536 2136973202 2157693692 2361741184 2442255088 2465935648 2550001636 2620056626 2630120864 2746155608 2765494732 2791148672 2914287584 3096430558 3138463552 3160565408 3334617524 3358100746 3403685824 3616416188 3775963961 3810991456 3837829424 4007145428 4022537792 4133047072 4273946404 4315387384 4462502863 4884510176 4931871296 5100003272 5240113252 5260241728 5492311216 5530989464 5828575168 5835580667 6192861116 6276927104 6321130816 6669235048 6716201492 6807371648 7012504499 7232832376 7551927922 7621982912 7675658848 8014290856 8045075584 8266094144 8547892808 8630774768 8925005726 9170198191 9769020352 9863742592 10200006544 10480226504 10520483456 10837506953 10984622432 11061978928 11657150336 11671161334 11753352611 12385722232 12642261632 13338470096 13432402984 14025008998 14465664752 15103855844 15243965824 15351317696 16028581712 16532188288 17030368069 17095785616 17261549536 17850011452 18340396382 19538040704 20400013088 20960453008 21675013906 21969244864 22123957856 23342322668 23506705222 24771444464 26676940192 26864805968 28050017996 28931329504 30207711688 30702635392 32057163424 34060736138 34191571232 34523099072 35700022904 36680792764 40800026176 41920906016 43350027812 43938489728 44247915712 46684645336 47013410444 49087531493 49542888928 53353880384 53729611936 56100035992 57862659008 60415423376 64114326848 64191387337 68121472276 68383142464 69046198144 71400045808 73361585528 75862548671 81600052352 83841812032 86700055624 88495831424 93369290672 94026820888 98175062986 99085777856 106707760768 107459223872 112200071984 115725318016 119212576483 120830846752 128228653696 128382774674 136242944552 136766284928 142800091616 146723171056 151725097342 167683624064 173400111248 186738581344 188053641776 196350125972 198171555712 214918447744 224400143968 238425152966 241661693504 256765549348 272485889104 285600183232 293446342112 303450194684 346800222496 373477162688 376107283552 392700251944 448800287936 476850305932 483323387008 513531098696 544971778208 571200366464 586892684224 606900389368 693600444992 746954325376 752214567104 785400503888 834488035381 897600575872 953700611864 1027062197392 1089943556416 1173785368448 1213800778736 1387200889984 1504429134208 1570801007776 1668976070762 1907401223728 2054124394784 2179887112832 2427601557472 3141602015552 3337952141524 3814802447456 4108248789568 4855203114944 6283204031104 6675904283048 7629604894912 8216497579136 9710406229888 13351808566096 15259209789824 26703617132192 53407234264384 106814468528768
• Sum of all divisors σ(n): 312258628281600
• Sum of proper divisors (its aliquot sum) s(n): 205444159752832
• 106814468528768 is an abundant number, because the sum of its proper divisors (205444159752832) is greater than itself. Its abundance is 98629691224064

Bases of 106814468528768

• Binary: 11000010010010110101110011101000001101010000000₂
• Hexadecimal: 0x6125AE741A80
• Base-36: 11V1W0OZNK

Squares and roots of 106814468528768

• 106814468528768 squared (106814468528768²) is 11409330687083169510443597824
• 106814468528768 cubed (106814468528768³) is 1218681593609752191759446721274757966200832
• The square root of 106814468528768 is 10335108.5397671563
• The cube root of 106814468528768 is 47447.1387608077

Scales and comparisons

• 106,814,468,528,768 seconds is equal to 3,396,369 years, 36 weeks, 2 days, 22 hours, 26 minutes, 8 seconds.
• To count from 1 to 106,814,468,528,768 would take you about eight million, four hundred ninety thousand, nine hundred twenty-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 106814468528768 cubic inches would be around 3953.9 feet tall.

Recreational maths with 106814468528768

• 106814468528768 backwards is 867825864418601
• The number of decimal digits it has is: 15
• The sum of 106814468528768's digits is 74
• More coming soon!