448385320768

Names of 448385320768

• Cardinal: 448385320768 can be written as Four hundred forty-eight billion, three hundred eighty-five million, three hundred twenty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.48385320768 × 10¹¹

Factors of 448385320768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 197

Divisors of 448385320768

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 64 68 71 77 88 89 98 112 119 121 136 142 154 176 178 187 196 224 238 242 272 284 308 352 356 374 392 448 476 484 497 539 544 568 616 623 704 712 748 781 784 833 847 952 968 979 994 1078 1088 1136 1207 1232 1246 1309 1331 1424 1496 1513 1562 1568 1666 1694 1904 1936 1958 1988 2057 2156 2272 2414 2464 2492 2618 2662 2848 2992 3026 3124 3136 3332 3388 3479 3808 3872 3916 3976 4114 4312 4361 4544 4828 4928 4984 5236 5324 5467 5696 5929 5984 6052 6248 6319 6664 6776 6853 6958 7616 7744 7832 7952 8228 8449 8591 8624 8722 9163 9317 9656 9968 10472 10591 10648 10769 10934 11858 11968 12104 12496 12638 13277 13328 13552 13706 13916 14399 15664 15904 16456 16643 16898 17182 17248 17444 18326 18634 19312 19936 20944 21182 21296 21538 21868 22627 23716 24208 24992 25276 26554 26656 27104 27412 27832 28798 31328 31808 32912 33286 33796 34364 34496 34888 36652 37268 38269 38624 39872 41888 42364 42592 43076 43736 44233 45254 47432 47971 48416 49984 50552 53108 53312 54208 54824 55664 57596 59143 60137 62656 65219 65824 66572 67592 68728 69509 69776 73304 74137 74536 75383 76538 77248 83776 84728 85184 86152 87472 88466 90508 92939 94501 94864 95942 96832 100793 101104 106216 107423 109648 111328 115192 116501 118286 118459 120274 130438 131648 133144 135184 137456 139018 139552 146047 146608 148274 149072 150766 153076 158389 169456 172304 174944 176932 181016 183073 185878 189002 189728 191884 201586 202208 212432 214846 219296 222656 230384 233002 236572 236918 240548 260876 266288 270368 274912 278036 279104 292094 293216 296548 298144 301532 306152 309631 316778 338912 344608 349888 353864 362032 366146 371756 378004 379456 383768 403172 404416 420959 424864 429692 438592 460768 466004 473144 473836 481096 486563 521752 527681 532576 540736 549824 556072 584188 586432 593096 596288 603064 612304 619262 633556 650573 661507 677824 689216 707728 724064 732292 743512 751961 756008 764599 767536 806344 815507 829213 841918 849728 859384 921536 932008 946288 947672 962192 973126 1022329 1043504 1055362 1065152 1108723 1112144 1168376 1181653 1186192 1206128 1224608 1238524 1267112 1281511 1301146 1323014 1415456 1448128 1464584 1487024 1503922 1512016 1529198 1535072 1606517 1612688 1631014 1658426 1683836 1718768 1864016 1892576 1895344 1924384 1946252 2013803 2044658 2087008 2110724 2217446 2224288 2336752 2363306 2372384 2412256 2449216 2477048 2534224 2563022 2602292 2646028 2830912 2929168 2974048 3007844 3024032 3058396 3070144 3213034 3225376 3262028 3316852 3367672 3405941 3437536 3728032 3785152 3790688 3848768 3892504 4027606 4089316 4174016 4221448 4434892 4448576 4630549 4673504 4726612 4744768 4824512 4954096 5068448 5126044 5204584 5263727 5292056 5352193 5804491 5858336 5948096 6015688 6048064 6116792 6426068 6450752 6524056 6633704 6735344 6811882 6875072 7156303 7456064 7581376 7785008 8055212 8178632 8271571 8410589 8442896 8869784 8970577 9261098 9347008 9453224 9908192 10136896 10252088 10409168 10527454 10584112 10704386 11245619 11608982 11716672 12031376 12233584 12852136 12998183 13048112 13267408 13470688 13623764 14096621 14312606 15570016 16110424 16357264 16543142 16821178 16885792 17739568 17941154 18522196 18906448 19816384 20504176 20818336 21054908 21168224 21408772 22491238 23217964 24062752 24467168 25704272 25996366 26096224 26534816 26941376 27247528 28193242 28625212 31140032 32220848 32714528 33086284 33642356 33771584 35479136 35882308 37044392 37465351 37812896 41008352 41636672 42109816 42336448 42817544 44982476 46435928 48125504 48934336 51408544 51992732 52192448 53069632 54495056 56386484 57250424 57900997 58874123 64441696 65429056 66172568 67284712 70958272 71764616 74088784 74930702 75625792 78719333 82016704 84219632 85635088 89964952 90987281 92871856 98676347 102817088 103985464 108990112 112772968 114500848 115801994 117748246 128883392 132345136 134569424 142980013 143529232 148177568 149861404 157438666 168439264 171270176 179929904 181974562 185743712 197352694 207970928 217980224 225545936 229001696 231603988 235496492 264690272 269138848 285960026 287058464 296355136 299722808 314877332 336878528 342540352 359859808 363949124 371487424 394705388 412118861 415941856 451091872 458003392 463207976 470992984 529380544 538277696 571920052 574116928 599445616 629754664 636910967 719719616 727898248 789410776 824237722 831883712 902183744 926415952 941985968 1000860091 1143840104 1198891232 1259509328 1273821934 1455796496 1578821552 1648475444 1852831904 1883971936 2001720182 2287680208 2397782464 2519018656 2547643868 2911592992 3157643104 3296950888 3705663808 3767943872 4003440364 4575360416 5038037312 5095287736 5823185984 6315286208 6593901776 7006020637 8006880728 9150720832 10190575472 13187803552 14012041274 16013761456 20381150944 26375607104 28024082548 32027522912 40762301888 56048165096 64055045824 112096330192 224192660384 448385320768
• Sum of all divisors σ(n): 1236138589440
• Sum of proper divisors (its aliquot sum) s(n): 787753268672
• 448385320768 is an abundant number, because the sum of its proper divisors (787753268672) is greater than itself. Its abundance is 339367947904

Bases of 448385320768

• Binary: 110100001100101110110010000011101000000₂
• Hexadecimal: 0x6865D90740
• Base-36: 5PZH1JR4

Squares and roots of 448385320768

• 448385320768 squared (448385320768²) is 201049395880222252109824
• 448385320768 cubed (448385320768³) is 90147597861966072219394799004024832
• The square root of 448385320768 is 669615.8008649437
• The cube root of 448385320768 is 7653.9178289803

Scales and comparisons

• 448,385,320,768 seconds is equal to 14,257 years, 13 weeks, 5 days, 21 hours, 59 minutes, 28 seconds.
• To count from 1 to 448,385,320,768 would take you about twenty-eight thousand, five hundred fourteen 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 448385320768 cubic inches would be around 637.8 feet tall.

Recreational maths with 448385320768

• 448385320768 backwards is 867023583844
• The number of decimal digits it has is: 12
• The sum of 448385320768's digits is 58
• More coming soon!