978946468743672

Names of 978946468743672

• Cardinal: 978946468743672 can be written as Nine hundred seventy-eight trillion, nine hundred forty-six billion, four hundred sixty-eight million, seven hundred forty-three thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 9.78946468743672 × 10¹⁴

Factors of 978946468743672

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4158

Divisors of 978946468743672

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 121 132 143 156 169 198 216 234 242 264 286 297 312 338 351 363 396 429 468 484 507 572 594 676 702 726 792 858 936 968 1014 1089 1144 1188 1287 1352 1404 1452 1521 1573 1716 1859 2028 2178 2197 2376 2574 2808 2904 3042 3146 3267 3432 3718 3861 4056 4129 4356 4394 4563 4719 5148 5577 6084 6292 6534 6591 7436 7722 8258 8712 8788 9126 9438 10296 11154 12168 12387 12584 13068 13182 14157 14872 15444 16516 16731 17576 18252 18876 19773 20449 22308 24167 24774 26136 26364 28314 30888 33032 33462 36504 37161 37752 39546 40898 42471 44616 45419 48334 49548 50193 52728 53677 56628 59319 61347 66924 72501 74322 79092 81796 84942 90838 96668 99096 100386 107354 111483 113256 118638 122694 133848 136257 145002 148644 158184 161031 163592 169884 181676 184041 193336 200772 214708 217503 222966 237276 245388 265837 272514 290004 297288 322062 339768 363352 368082 401544 408771 429416 435006 445932 474552 483093 490776 499609 531674 545028 552123 580008 590447 644124 652509 697801 736164 797511 817542 870012 891864 966186 999218 1063348 1090056 1104246 1180894 1226313 1288248 1305018 1395602 1449279 1472328 1498827 1595022 1635084 1740024 1771341 1932372 1998436 2093403 2126696 2208492 2361788 2392533 2452626 2610036 2791204 2898558 2997654 3190044 3270168 3542682 3864744 3996872 4186806 4416984 4496481 4723576 4785066 4905252 5220072 5314023 5582408 5797116 5995308 6280209 6380088 6494917 7085364 7177599 7675811 8373612 8992962 9071413 9570132 9810504 10628046 11594232 11990616 12560418 12989834 13489443 14170728 14355198 15351622 15942069 16747224 17048641 17985924 18142826 18840627 19140264 19484751 21256092 23027433 25120836 25979668 26978886 27214239 28710396 30703244 31884138 34097282 35971848 36285652 37681254 38969502 42512184 46054866 50241672 51145923 51959336 53957772 54428478 57420792 58454253 61406488 63768276 68194564 69082299 72571304 75362508 77939004 81642717 84433921 92109732 99785543 102291846 107915544 108856956 116908506 127536552 136389128 138164598 150725016 153437769 155878008 163285434 168867842 175362759 184219464 187535051 199571086 204583692 207246897 217713912 221632333 233817012 244928151 253301763 276329196 299356629 306875538 326570868 337735684 350725518 375070102 399142172 409167384 414493794 443264666 460313307 467634024 489856302 506603526 552658392 562605153 598713258 613751076 653141736 664896999 675471368 701451036 750140204 759905289 798284344 828987588 886529332 898069887 920626614 979712604 1013207052 1097640973 1125210306 1197426516 1227502152 1329793998 1402902072 1500280408 1519810578 1657975176 1687815459 1773058664 1796139774 1841253228 1959425208 1994690997 2026414104 2062885561 2195281946 2250420612 2279715867 2394853032 2437955663 2659587996 2694209661 2881220329 3039621156 3292922919 3375630918 3592279548 3682506456 3989381994 4125771122 4390563892 4500841224 4559431734 4875911326 5063446377 5319175992 5388419322 5762440658 5984072991 6079242312 6188656683 6585845838 6751261836 7184559096 7313866989 7978763988 8251542244 8643660987 8781127784 9118863468 9751822652 9878768757 10126892754 10776838644 11524881316 11968145982 12377313366 13171691676 13502523672 14627733978 15957527976 16503084488 17287321974 18237726936 18565970049 19503645304 19757537514 20253785508 21553677288 21941600967 23049762632 23936291964 24754626732 25930982961 26343383352 26817512293 29255467956 29636306271 31693423619 34574643948 37131940098 37455864277 39515075028 40507571016 43883201934 47872583928 49509253464 51861965922 53635024586 55697910147 58510935912 59272612542 63386847238 65824802901 69149287896 74263880196 74911728554 77792948883 79030150056 80452536879 87766403868 95080270857 103723931844 107270049172 111395820294 112367592831 118545225084 126773694476 131649605802 148527760392 149823457108 155585897766 160905073758 175532807736 190160541714 207447863688 214540098344 222791640588 224735185662 237090450168 241357610637 253547388952 263299211604 285240812571 299646914216 311171795532 321810147516 337102778493 348627659809 380321083428 412014507047 445583281176 449470371324 482715221274 526598423208 570481625142 622343591064 643620295032 674205556986 697255319618 724072831911 760642166856 824029014094 855722437713 898940742648 965430442548 1011308335479 1045882979427 1140963250284 1236043521141 1348411113972 1394510639236 1448145663822 1648058028188 1711444875426 1930860885096 2022616670958 2091765958854 2281926500568 2472087042282 2696822227944 2789021278472 2896291327644 3137648938281 3296116056376 3422889750852 3708130563423 4045233341916 4183531917708 4532159577517 4944174084564 5792582655288 6275297876562 6845779501704 7416261126846 8090466683832 8367063835416 9064319155034 9412946814843 9888348169128 11124391690269 12550595753124 13596478732551 14832522253692 18128638310068 18825893629686 22248783380538 25101191506248 27192957465102 29665044507384 36257276620136 37651787259372 40789436197653 44497566761076 54385914930204 75303574518744 81578872395306 88995133522152 108771829860408 122368308592959 163157744790612 244736617185918 326315489581224 489473234371836 978946468743672
• Sum of all divisors σ(n): 3238730479404000
• Sum of proper divisors (its aliquot sum) s(n): 2259784010660328
• 978946468743672 is an abundant number, because the sum of its proper divisors (2259784010660328) is greater than itself. Its abundance is 1280837541916656

Bases of 978946468743672

• Binary: 11011110100101100010111100100001100000100111111000₂
• Hexadecimal: 0x37A58BC8609F8
• Base-36: 9N09SRUA60

Squares and roots of 978946468743672

• 978946468743672 squared (978946468743672²) is 958336188665705180054040043584
• 978946468743672 cubed (978946468743672³) is 938159827763561508840608852458270928604200448
• The square root of 978946468743672 is 31288120.2494440691
• The cube root of 978946468743672 is 99293.2321855263

Scales and comparisons

• 978,946,468,743,672 seconds is equal to 31,127,469 years, 32 weeks, 3 days, 19 hours, 1 minute, 12 seconds.
• To count from 1 to 978,946,468,743,672 would take you about seventy-seven million, eight hundred eighteen thousand, six hundred seventy-four 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 978946468743672 cubic inches would be around 8274.4 feet tall.

Recreational maths with 978946468743672

• 978946468743672 backwards is 276347864649879
• The number of decimal digits it has is: 15
• The sum of 978946468743672's digits is 90
• More coming soon!