442450934016

Names of 442450934016

• Cardinal: 442450934016 can be written as Four hundred forty-two billion, four hundred fifty million, nine hundred thirty-four thousand and sixteen.

Scientific notation

• Scientific notation: 4.42450934016 × 10¹¹

Factors of 442450934016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 115

Divisors of 442450934016

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 64 71 76 78 84 91 96 104 112 114 128 133 142 152 156 168 169 182 192 208 213 224 228 247 256 266 273 284 304 312 336 338 361 364 384 399 416 426 448 456 494 497 507 532 546 568 608 624 672 676 722 728 741 768 798 832 852 896 912 923 988 994 1014 1064 1083 1092 1136 1183 1216 1248 1344 1349 1352 1444 1456 1482 1491 1596 1664 1704 1729 1792 1824 1846 1976 1988 2028 2128 2166 2184 2272 2366 2432 2496 2527 2688 2698 2704 2769 2888 2912 2964 2982 3192 3211 3328 3408 3458 3549 3648 3692 3952 3976 4047 4056 4256 4332 4368 4544 4693 4732 4864 4992 5054 5187 5376 5396 5408 5538 5776 5824 5928 5964 6384 6422 6461 6816 6859 6916 7098 7296 7384 7581 7904 7952 8094 8112 8512 8664 8736 9088 9386 9443 9464 9633 9984 10108 10374 10792 10816 11076 11552 11648 11856 11928 11999 12768 12844 12922 13632 13718 13832 14079 14196 14592 14768 15162 15808 15904 16188 16224 17024 17328 17472 17537 18176 18772 18886 18928 19266 19383 20216 20577 20748 21584 21632 22152 22477 23104 23296 23712 23856 23998 25536 25631 25688 25844 27264 27436 27664 28158 28329 28392 29536 30324 31616 31808 32376 32448 32851 34048 34656 34944 35074 35997 37544 37772 37856 38532 38766 40432 41154 41496 43168 43264 44304 44954 46208 47424 47712 47996 48013 51072 51262 51376 51688 52611 54528 54872 55328 56316 56658 56784 59072 60648 61009 63232 63616 64752 64896 65702 67431 69312 69888 70148 71994 75088 75544 75712 76893 77064 77532 80864 82308 82992 83993 86336 88608 89167 89908 92416 94848 95424 95992 96026 98553 102144 102524 102752 103376 105222 109744 110656 112632 113316 113568 118144 121296 122018 122759 127232 129504 129792 131404 134862 138624 140296 143988 144039 150176 151088 151424 153786 154128 155064 161728 164616 165984 167986 172672 177216 178334 179417 179816 183027 189696 190848 191984 192052 197106 205048 205504 206752 210444 219488 221312 225264 226632 227136 227981 236288 242592 244036 245518 251979 259008 262808 267501 269724 277248 280592 287976 288078 300352 302176 302848 307572 308256 310128 323456 329232 331968 333203 335972 345344 354432 356668 358834 359632 366054 368277 381696 383968 384104 394212 410096 411008 413504 420888 427063 438976 442624 450528 453264 454272 455962 485184 486989 488072 491036 503958 518016 525616 535002 538251 539448 561184 575952 576156 600704 604352 615144 616512 620256 624169 646912 658464 663936 666406 671944 683943 708864 713336 717668 719264 732108 736554 767936 768208 788424 820192 822016 827008 841776 854126 877952 901056 906528 908544 911924 970368 973978 976144 982072 999609 1007916 1036032 1051232 1070004 1076502 1078896 1122368 1151904 1152312 1159171 1201408 1208704 1230288 1233024 1240512 1248338 1281189 1316928 1327872 1332812 1343888 1367886 1426672 1435336 1438528 1460967 1464216 1473108 1535872 1536416 1576848 1595867 1640384 1654016 1683552 1708252 1755904 1802112 1813056 1823848 1872507 1940736 1947956 1952288 1964144 1999218 2015832 2102464 2140008 2153004 2157792 2244736 2303808 2304624 2318342 2332421 2417408 2460576 2466048 2481024 2496676 2562378 2633856 2665624 2687776 2735772 2853344 2870672 2877056 2921934 2928432 2946216 3071744 3072832 3153696 3191734 3280768 3367104 3408923 3416504 3477513 3604224 3626112 3647696 3745014 3895912 3904576 3928288 3998436 4031664 4204928 4280016 4306008 4315584 4331639 4489472 4607616 4609248 4636684 4664842 4787601 4921152 4962048 4993352 5124756 5267712 5331248 5375552 5471544 5706688 5741344 5754112 5843868 5856864 5892432 6145664 6307392 6330857 6383468 6561536 6734208 6817846 6833008 6955026 6997263 7252224 7295392 7490028 7791824 7809152 7856576 7996872 8063328 8114197 8409856 8560032 8612016 8631168 8663278 9215232 9218496 9273368 9329684 9575202 9842304 9986704 10226769 10249512 10662496 10751104 10943088 11413376 11482688 11687736 11713728 11784864 12291328 12614784 12661714 12766936 12994917 13468416 13635692 13666016 13910052 13994526 14590784 14980056 15583648 15618304 15713152 15993744 16126656 16228394 17120064 17224032 17262336 17326556 18436992 18546736 18659368 18992571 19150404 19684608 19973408 20453538 20499024 21324992 21502208 21886176 22826752 22965376 23375472 23427456 23569728 24342591 25229568 25323428 25533872 25989834 27271384 27332032 27820104 27989052 29181568 29960112 30321473 31167296 31426304 31987488 32253312 32456788 34240128 34448064 34653112 36873984 37093472 37318736 37985142 38300808 39946816 40907076 40998048 42649984 43772352 44315999 45930752 46750944 46854912 47139456 48685182 50646856 51067744 51979668 54542768 54664064 55640208 55978104 58363136 59920224 60642946 62334592 63974976 64506624 64913576 68480256 68896128 69306224 74186944 74637472 75970284 76601616 79893632 81814152 81996096 82301141 85299968 87544704 88631998 90964419 93501888 94278912 97370364 101293712 102135488 103959336 109085536 109328128 111280416 111956208 119840448 121285892 124669184 127949952 129827152 132947997 137792256 138612448 148373888 149274944 151940568 153203232 159787264 163628304 163992192 164602282 175089408 177263996 181928838 187003776 194740728 202587424 204270976 207918672 218171072 222560832 223912416 239680896 242571784 246903423 255899904 259654304 265895994 277224896 296747776 298549888 303881136 306406464 327256608 327984384 329204564 354527992 363857676 374007552 389481456 405174848 408541952 415837344 436342144 445121664 447824832 479361792 485143568 493806846 519308608 531791988 554449792 576107987 597099776 607762272 612812928 654513216 658409128 709055984 727715352 778962912 810349696 831674688 872684288 890243328 895649664 970287136 987613692 1038617216 1063583976 1108899584 1152215974 1215524544 1225625856 1309026432 1316818256 1418111968 1455430704 1557925824 1620699392 1663349376 1728323961 1791299328 1940574272 1975227384 2077234432 2127167952 2304431948 2431049088 2618052864 2633636512 2836223936 2910861408 3115851648 3326698752 3456647922 3881148544 3950454768 4254335904 4608863896 4862098176 5267273024 5672447872 5821722816 6231703296 6913295844 7762297088 7900909536 8508671808 9217727792 10534546048 11344895744 11643445632 13826591688 15801819072 17017343616 18435455584 21069092096 23286891264 27653183376 31603638144 34034687232 36870911168 55306366752 63207276288 73741822336 110612733504 147483644672 221225467008 442450934016
• Sum of all divisors σ(n): 1559886612480
• Sum of proper divisors (its aliquot sum) s(n): 1117435678464
• 442450934016 is an abundant number, because the sum of its proper divisors (1117435678464) is greater than itself. Its abundance is 674984744448

Bases of 442450934016

• Binary: 110011100000100001000010111100100000000₂
• Hexadecimal: 0x6704217900
• Base-36: 5N9BV1MO

Squares and roots of 442450934016

• 442450934016 squared (442450934016²) is 195762829011630785888256
• 442450934016 cubed (442450934016³) is 86615446541810543343598979405316096
• The square root of 442450934016 is 665169.8535081097
• The cube root of 442450934016 is 7620.0011826867

Scales and comparisons

• 442,450,934,016 seconds is equal to 14,068 years, 29 weeks, 4 days, 21 hours, 13 minutes, 36 seconds.
• To count from 1 to 442,450,934,016 would take you about twenty-eight thousand, one 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 442450934016 cubic inches would be around 635 feet tall.

Recreational maths with 442450934016

• 442450934016 backwards is 610439054244
• 442450934016 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 442450934016's digits is 42
• More coming soon!