448457828000

Names of 448457828000

• Cardinal: 448457828000 can be written as Four hundred forty-eight billion, four hundred fifty-seven million, eight hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 4.48457828 × 10¹¹

Factors of 448457828000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 352

Divisors of 448457828000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 89 91 100 104 109 112 125 127 130 140 160 175 178 182 200 208 218 224 250 254 260 280 325 350 356 364 400 416 436 445 455 500 508 520 545 560 623 635 650 700 712 728 763 800 872 875 889 890 910 1000 1016 1040 1090 1120 1157 1246 1270 1300 1400 1417 1424 1456 1526 1625 1651 1744 1750 1778 1780 1820 2000 2032 2080 2180 2225 2275 2314 2492 2540 2600 2725 2800 2834 2848 2912 3052 3115 3175 3250 3302 3488 3500 3556 3560 3640 3815 4000 4064 4360 4445 4450 4550 4628 4984 5080 5200 5450 5600 5668 5785 6104 6230 6350 6500 6604 7000 7085 7112 7120 7280 7630 8099 8255 8720 8890 8900 9100 9256 9701 9919 9968 10160 10400 10900 11125 11303 11336 11375 11557 11570 12208 12460 12700 13000 13208 13625 13843 14000 14170 14224 14240 14560 15260 15575 15875 16198 16510 17440 17780 17800 18200 18512 19075 19402 19838 19936 20320 21800 22225 22250 22606 22672 22750 23114 23140 24416 24920 25400 26000 26416 27250 27686 28000 28340 28448 28925 30520 31150 31750 32396 33020 35425 35560 35600 36400 37024 38150 38804 39676 40495 41275 43600 44450 44500 45212 45344 45500 46228 46280 48505 49595 49840 50800 52000 52832 54500 55372 56515 56680 57785 57850 61040 62300 63500 64792 66040 67907 69215 70850 71120 71200 72800 76300 77608 77875 79121 79352 80990 82550 87200 88900 89000 90424 91000 92456 92560 95375 96901 97010 99190 99680 101600 109000 110744 111125 113030 113360 115570 115700 122080 124600 126113 127000 129584 132080 135814 138430 141700 142240 144625 146939 152600 155216 155750 158242 158704 161980 165100 177125 177800 178000 179959 180848 182000 184912 185120 190750 193802 194020 198380 202475 206375 218000 221488 222250 226060 226720 231140 231400 242525 247975 249200 252226 254000 259168 264160 271628 276860 282575 283400 288925 289250 293878 305200 310432 311500 316484 317408 323960 330200 339535 346075 354250 355600 356000 359918 361696 364000 369824 381500 387604 388040 395605 396760 404950 412750 436000 442976 444500 452120 462280 462800 484505 485050 495950 498400 504452 508000 543256 553720 565150 566800 577850 578500 587756 610400 623000 630565 632968 647920 660400 679070 692150 708500 711200 719836 734695 763000 775208 776080 791210 793520 809900 825500 882791 889000 899795 904240 924560 925600 969010 970100 991900 1008904 1012375 1028573 1086512 1107440 1130300 1133600 1155700 1157000 1175512 1212625 1232027 1239875 1246000 1259713 1261130 1265936 1295840 1320800 1358140 1384300 1412875 1417000 1439672 1444625 1469390 1526000 1550416 1552160 1582420 1587040 1619800 1651000 1697675 1730375 1765582 1778000 1799590 1808480 1849120 1938020 1940200 1978025 1983800 2017808 2024750 2057146 2173024 2214880 2260600 2311400 2314000 2351024 2422525 2425250 2464054 2479750 2492000 2519426 2522260 2531872 2716280 2768600 2825750 2834000 2879344 2889250 2938780 3052000 3100832 3152825 3164840 3239600 3302000 3395350 3460750 3531164 3556000 3599180 3673475 3876040 3880400 3956050 3967600 4035616 4049500 4114292 4413955 4498975 4521200 4622800 4628000 4702048 4845050 4850500 4928108 4959500 5038852 5044520 5142865 5432560 5537200 5651500 5668000 5758688 5778500 5877560 6160135 6298565 6305650 6329680 6479200 6604000 6790700 6921500 7062328 7198360 7346950 7752080 7760800 7912100 7935200 8099000 8228584 8488375 8624189 8827910 8997950 9042400 9245600 9690100 9701000 9856216 9890125 9919000 10077704 10089040 10285730 10865120 11074400 11303000 11557000 11755120 12112625 12320270 12597130 12611300 12659360 13581400 13843000 14124656 14396720 14693900 15504160 15764125 15824200 16016351 16198000 16457168 16976750 17248378 17655820 17995900 18367375 19380200 19402000 19712432 19780250 19838000 20155408 20178080 20571460 22069775 22494875 22606000 23114000 23510240 24225250 24640540 25194260 25222600 25714325 27162800 27686000 28249312 28793440 29387800 30800675 31492825 31528250 31648400 32032702 32396000 32914336 33953500 34496756 35311640 35991800 36734750 38760400 38804000 39424864 39560500 39676000 40310816 41142920 43120945 44139550 44989750 45212000 46228000 48450500 49281080 50388520 50445200 51428650 54325600 55372000 58775600 61601350 62985650 63056500 63296800 64065404 67907000 68993512 70623280 71983600 73469500 77520800 79121000 80081755 82285840 86241890 88279100 89979500 96901000 98562160 100777040 100890400 102857300 110348875 112114457 117551200 123202700 125971300 126113000 128130808 128571625 135814000 137987024 141246560 143967200 146939000 154003375 157464125 158242000 160163510 164571680 172483780 176558200 179959000 193802000 197124320 201554080 205714600 215604725 220697750 224228914 246405400 251942600 252226000 256261616 257143250 271628000 275974048 293878000 308006750 314928250 316484000 320327020 344967560 353116400 359918000 387604000 400408775 411429200 431209450 441395500 448457828 492810800 503885200 504452000 512523232 514286500 560572285 587756000 616013500 629856500 640654040 689935120 706232800 719836000 800817550 822858400 862418900 882791000 896915656 985621600 1007770400 1028573000 1078023625 1121144570 1232027000 1259713000 1281308080 1379870240 1601635100 1724837800 1765582000 1793831312 2002043875 2057146000 2156047250 2242289140 2464054000 2519426000 2562616160 2802861425 3203270200 3449675600 3531164000 3587662624 4004087750 4114292000 4312094500 4484578280 4928108000 5038852000 5605722850 6406540400 6899351200 8008175500 8624189000 8969156560 11211445700 12813080800 14014307125 16016351000 17248378000 17938313120 22422891400 28028614250 32032702000 34496756000 44845782800 56057228500 64065404000 89691565600 112114457000 224228914000 448457828000
• Sum of all divisors σ(n): 1394852659200
• Sum of proper divisors (its aliquot sum) s(n): 946394831200
• 448457828000 is an abundant number, because the sum of its proper divisors (946394831200) is greater than itself. Its abundance is 497937003200

Bases of 448457828000

• Binary: 110100001101010001010110110011010100000₂
• Hexadecimal: 0x686A2B66A0
• Base-36: 5Q0O7MOW

Squares and roots of 448457828000

• 448457828000 squared (448457828000²) is 201114423494477584000000
• 448457828000 cubed (448457828000³) is 90191337539805587315327552000000000
• The square root of 448457828000 is 669669.9395971123
• The cube root of 448457828000 is 7654.3303718379

Scales and comparisons

• 448,457,828,000 seconds is equal to 14,259 years, 29 weeks, 5 days, 2 hours, 53 minutes, 20 seconds.
• To count from 1 to 448,457,828,000 would take you about twenty-eight thousand, five hundred nineteen 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 448457828000 cubic inches would be around 637.9 feet tall.

Recreational maths with 448457828000

• 448457828000 backwards is 000828754844
• 448457828000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 448457828000's digits is 50
• More coming soon!