448989291319823424

Names of 448989291319823424

• Cardinal: 448989291319823424 can be written as Four hundred forty-eight quadrillion, nine hundred eighty-nine trillion, two hundred ninety-one billion, three hundred nineteen million, eight hundred twenty-three thousand, four hundred twenty-four.

Scientific notation

• Scientific notation: 4.48989291319823424 × 10¹⁷

Factors of 448989291319823424

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 10387

Divisors of 448989291319823424

• Number of divisors d(n): 315
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 991 1296 1728 1982 2592 2973 3964 5184 5946 7928 8919 9391 11892 15856 17838 18782 23784 26757 28173 31712 35676 37564 47568 53514 56346 63424 71352 75128 80271 84519 95136 107028 112692 142704 150256 160542 169038 190272 214056 225384 253557 285408 300512 321084 338076 428112 450768 507114 570816 601024 642168 676152 760671 856224 901536 982081 1014228 1284336 1352304 1521342 1712448 1803072 1964162 2028456 2568672 2704608 2946243 3042684 3928324 4056912 5137344 5409216 5892486 6085368 7856648 8113824 8838729 9306481 11784972 12170736 15713296 16227648 17677458 18612962 23569944 24341472 26516187 27919443 31426592 35354916 37225924 47139888 48682944 53032374 55838886 62853184 70709832 74451848 79548561 83758329 88190881 94279776 106064748 111677772 141419664 148903696 159097122 167516658 176381762 188559552 212129496 223355544 251274987 264572643 282839328 297807392 318194244 335033316 352763524 424258992 446711088 502549974 529145286 565678656 595614784 636388488 670066632 705527048 753824961 793717929 848517984 893422176 1005099948 1058290572 1272776976 1340133264 1411054096 1507649922 1587435858 1697035968 1786844352 2010199896 2116581144 2381153787 2545553952 2680266528 2822108192 3015299844 3174871716 4020399792 4233162288 4762307574 5091107904 5360533056 5644216384 6030599688 6349743432 7143461361 8040799584 8466324576 9222722671 9524615148 12061199376 12699486864 14286922722 16081599168 16932649152 18445445342 19049230296 24122398752 25398973728 27668168013 28573845444 36890890684 38098460592 48244797504 50797947456 55336336026 57147690888 73781781368 76196921184 83004504039 87397163071 110672672052 114295381776 147563562736 152393842368 166009008078 174794326142 221345344104 228590763552 249013512117 262191489213 295127125472 332018016156 349588652284 442690688208 457181527104 498027024234 524382978426 590254250944 664036032312 699177304568 747040536351 786574467639 885381376416 996054048468 1048765956852 1328072064624 1398354609136 1494081072702 1573148935278 1770762752832 1992108096936 2097531913704 2359723402917 2656144129248 2796709218272 2988162145404 3146297870556 3984216193872 4195063827408 4719446805834 5312288258496 5593418436544 5976324290808 6292595741112 7079170208751 7968432387744 8390127654816 9438893611668 11952648581616 12585191482224 14158340417502 15936864775488 16780255309632 18877787223336 23905297163232 25170382964448 28316680835004 37755574446672 47810594326464 50340765928896 56633361670008 75511148893344 86610588603361 113266723340016 151022297786688 173221177206722 226533446680032 259831765810083 346442354413444 453066893360064 519663531620166 692884708826888 779495297430249 1039327063240332 1385769417653776 1558990594860498 2078654126480664 2338485892290747 2771538835307552 3117981189720996 4157308252961328 4676971784581494 5543077670615104 6235962379441992 7015457676872241 8314616505922656 9353943569162988 12471924758883984 14030915353744482 16629233011845312 18707887138325976 24943849517767968 28061830707488964 37415774276651952 49887699035535936 56123661414977928 74831548553303904 112247322829955856 149663097106607808 224494645659911712 448989291319823424
• Sum of all divisors σ(n): 1332431186345201943
• Sum of proper divisors (its aliquot sum) s(n): 883441895025378519
• 448989291319823424 is an abundant number, because the sum of its proper divisors (883441895025378519) is greater than itself. Its abundance is 434452603705555095

Bases of 448989291319823424

• Binary: 11000111011001000010110000110110001000100101000110001000000₂
• Hexadecimal: 0x63B2161B1128C40
• Base-36: 3ESXF4XVUS00

Squares and roots of 448989291319823424

• 448989291319823424 squared (448989291319823424²) is 201591383719877265876191790539083776
• 448989291319823424 cubed (448989291319823424³) is 90512372512570282802958849846445750906743395063169024
• 448989291319823424 is a perfect square number. Its square root is 670066632
• The cube root of 448989291319823424 is 765735.2870760443

Scales and comparisons

• 448,989,291,319,823,424 seconds is equal to 14,276,470,648 years, 47 weeks, 15 hours, 50 minutes, 24 seconds.
• To count from 1 to 448,989,291,319,823,424 would take you about forty-two billion, eight hundred twenty-nine million, four hundred eleven thousand, nine hundred forty-six 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 448989291319823424 cubic inches would be around 63811.3 feet tall.

Recreational maths with 448989291319823424

• 448989291319823424 backwards is 424328913192989844
• The number of decimal digits it has is: 18
• The sum of 448989291319823424's digits is 90
• More coming soon!