444972313968

Names of 444972313968

• Cardinal: 444972313968 can be written as Four hundred forty-four billion, nine hundred seventy-two million, three hundred thirteen thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 4.44972313968 × 10¹¹

Factors of 444972313968

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 487

Divisors of 444972313968

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 49 52 56 57 76 78 84 91 98 104 112 114 133 147 152 156 168 169 182 196 208 228 247 266 273 294 304 312 336 338 343 361 364 392 399 443 456 494 507 532 546 588 624 637 676 686 722 728 741 784 798 886 912 931 988 1014 1029 1064 1083 1092 1176 1183 1274 1329 1352 1372 1444 1456 1482 1596 1729 1772 1862 1911 1976 2028 2058 2128 2166 2184 2352 2366 2527 2548 2658 2704 2744 2793 2888 2964 3101 3192 3211 3458 3544 3549 3724 3822 3952 4056 4116 4332 4368 4459 4693 4732 5054 5096 5187 5316 5488 5586 5759 5776 5928 6202 6384 6422 6517 6916 7088 7098 7448 7581 7644 8112 8232 8281 8417 8664 8918 9303 9386 9464 9633 10108 10192 10374 10632 11172 11518 11856 12103 12404 12844 13034 13377 13832 14079 14196 14896 15162 15288 16464 16562 16834 17277 17328 17689 17836 18606 18772 18928 19266 19551 20216 20748 21264 21707 22344 22477 23036 24206 24808 24843 25251 25688 26068 26754 27664 28158 28392 30324 30576 32851 33124 33668 34554 35378 35672 36309 37212 37544 38532 39102 40313 40432 41496 43414 44688 44954 46072 48412 49616 49686 50502 51376 52136 53067 53508 56316 56784 57967 58919 60648 61009 65121 65702 66248 67336 67431 69108 70756 71344 72618 74424 74867 75088 77064 78204 80626 82992 84721 86828 89908 92144 96824 98553 99372 101004 104272 106134 107016 109421 112632 115934 117838 120939 121296 122018 123823 130242 131404 132496 134672 134862 138216 141512 145236 148848 149734 151949 154128 156408 157339 159923 161252 169442 173656 173901 176757 179816 183027 193648 197106 198744 202008 212268 214032 218842 224601 225264 229957 231868 235676 241878 244036 247646 254163 260484 262808 269724 276432 282191 283024 290472 299468 303898 312816 314678 319846 322504 328263 338884 347312 347802 353514 359632 366054 371469 394212 397488 404016 412433 424536 427063 437684 449202 455847 459914 463736 471352 472017 479769 483756 488072 495292 508326 520968 524069 525616 539448 564382 580944 598936 607796 629356 639692 645008 656526 677768 689871 695604 707028 732108 742938 765947 788424 824866 846573 849072 854126 875368 898404 911694 919828 927472 942704 944034 959538 967512 976144 990584 1016652 1041936 1048138 1078896 1101373 1119461 1128764 1197872 1215592 1237299 1258712 1279384 1281189 1313052 1355536 1379742 1391208 1414056 1422473 1464216 1485876 1531894 1572207 1576848 1609699 1649732 1693146 1708252 1750736 1796808 1823388 1839656 1888068 1919076 1935024 1975337 1981168 2033304 2078999 2096276 2202746 2238922 2257528 2297841 2431184 2474598 2517424 2558768 2562378 2626104 2759484 2782416 2828112 2844946 2887031 2928432 2971752 2989441 3063788 3144414 3219398 3299464 3304119 3358383 3386292 3416504 3593616 3646776 3668483 3679312 3776136 3838152 3950674 4066608 4157998 4192552 4267419 4405492 4477844 4515056 4595682 4829097 4949196 5124756 5252208 5361629 5518968 5689892 5774062 5926011 5943504 5978882 6127576 6236997 6288828 6438796 6598928 6608238 6716766 6772584 6833008 7293552 7336966 7552272 7676304 7836227 7901348 8315996 8385104 8534838 8661093 8810984 8955688 8968323 9191364 9658194 9898392 9957311 10249512 10723258 11005449 11037936 11379784 11548124 11852022 11957764 12255152 12473994 12577656 12877592 13216476 13433532 13545168 14552993 14673932 15672454 15802696 16084887 16631992 17069676 17322186 17621968 17911376 17936646 18382728 19316388 19796784 19914622 20499024 20926087 21446516 22010898 22759568 23096248 23508681 23704044 23915528 24947988 25155312 25679381 25755184 26432952 26867064 27026987 29105986 29347864 29871933 31344908 31605392 32169774 33263984 34139352 34644372 35873292 36765456 37531403 38632776 39829244 41852174 42893032 43658979 44021796 46192496 47017362 47408088 47831056 49895976 51358762 52865904 53734128 54053974 54853589 58211972 58695728 59743866 62689816 62778261 64339548 68278704 69288744 69701177 71746584 75062806 77038143 77265552 79658488 81080961 83704348 85786064 87317958 88043592 94034724 94816176 99791952 101870951 102717524 108107948 109707178 112594209 116423944 119487732 125379632 125556522 128679096 138577488 139402354 143493168 150125612 154076286 159316976 162161922 164560767 167408696 174635916 176087184 188069448 189188909 203741902 205435048 209103531 216215896 219414356 225188418 232847888 238975464 251113044 257358192 278804708 300251224 305612853 308152572 324323844 329121534 334817392 349271832 376138896 378377818 407483804 410870096 418207062 432431792 438828712 450376836 477950928 487908239 502226088 557609416 567566727 600502448 611225706 616305144 648647688 658243068 698543664 713096657 756755636 814967608 836414124 877657424 900753672 975816478 1004452176 1115218832 1135133454 1222451412 1232610288 1297295376 1316486136 1324322363 1426193314 1463724717 1513511272 1629935216 1672828248 1801507344 1951632956 2139289971 2270266908 2444902824 2632972272 2648644726 2852386628 2927449434 3027022544 3345656496 3903265912 3972967089 4278579942 4540533816 4889805648 5297289452 5704773256 5854898868 7806531824 7945934178 8557159884 9081067632 9270256541 10594578904 11409546512 11709797736 15891868356 17114319768 18540513082 21189157808 23419595472 27810769623 31783736712 34228639536 37081026164 55621539246 63567473424 74162052328 111243078492 148324104656 222486156984 444972313968
• Sum of all divisors σ(n): 1535467795200
• Sum of proper divisors (its aliquot sum) s(n): 1090495481232
• 444972313968 is an abundant number, because the sum of its proper divisors (1090495481232) is greater than itself. Its abundance is 645523167264

Bases of 444972313968

• Binary: 110011110011010011010101010110101110000₂
• Hexadecimal: 0x679A6AAD70
• Base-36: 5OF10YUO

Squares and roots of 444972313968

• 444972313968 squared (444972313968²) is 198000360198036367905024
• 444972313968 cubed (444972313968³) is 88104678443817729356516697732575232
• The square root of 444972313968 is 667062.4513252113
• The cube root of 444972313968 is 7634.4483871479

Scales and comparisons

• 444,972,313,968 seconds is equal to 14,148 years, 38 weeks, 4 days, 12 hours, 32 minutes, 48 seconds.
• To count from 1 to 444,972,313,968 would take you about twenty-eight thousand, two hundred ninety-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 444972313968 cubic inches would be around 636.2 feet tall.

Recreational maths with 444972313968

• 444972313968 backwards is 869313279444
• The number of decimal digits it has is: 12
• The sum of 444972313968's digits is 60
• More coming soon!