982993428004896

Names of 982993428004896

• Cardinal: 982993428004896 can be written as Nine hundred eighty-two trillion, nine hundred ninety-three billion, four hundred twenty-eight million, four thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 9.82993428004896 × 10¹⁴

Factors of 982993428004896

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 460979

Divisors of 982993428004896

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 32 33 36 38 42 44 48 56 57 61 63 66 72 76 77 83 84 88 96 99 112 114 122 126 132 133 144 152 154 166 168 171 176 183 198 209 224 228 231 244 249 252 264 266 288 304 308 332 336 342 352 366 396 399 418 427 456 462 488 498 504 528 532 549 581 608 616 627 664 671 672 684 693 732 747 792 798 836 854 912 913 924 976 996 1008 1056 1064 1098 1159 1162 1197 1232 1254 1281 1328 1342 1368 1386 1463 1464 1494 1577 1584 1596 1672 1708 1743 1824 1826 1848 1881 1952 1992 2013 2016 2128 2196 2318 2324 2394 2464 2508 2562 2656 2684 2736 2739 2772 2926 2928 2988 3154 3168 3192 3344 3416 3477 3486 3652 3696 3762 3843 3984 4026 4256 4389 4392 4636 4648 4697 4731 4788 5016 5063 5124 5229 5368 5472 5478 5544 5852 5856 5976 6039 6308 6384 6391 6688 6832 6954 6972 7304 7392 7524 7686 7968 8052 8113 8217 8778 8784 9272 9296 9394 9462 9576 10032 10126 10248 10431 10458 10736 10956 11039 11088 11704 11952 12078 12616 12749 12768 12782 13167 13664 13908 13944 14091 14193 14608 15048 15189 15372 16104 16226 16434 17347 17556 17568 18544 18592 18788 18924 19152 19173 20064 20252 20496 20862 20916 21472 21912 22078 22176 23408 23904 24156 24339 25232 25498 25564 26334 27816 27888 28182 28386 29216 30096 30378 30744 32208 32452 32868 33117 34694 35112 35441 37088 37576 37848 38247 38304 38346 40504 40992 41724 41832 42273 43824 44156 45567 46816 48312 48678 50464 50996 51128 52041 52668 55632 55693 55776 56364 56772 57519 60192 60756 61488 64416 64904 65736 66234 69388 70224 70882 73017 75152 75696 76494 76692 81008 83448 83664 84546 87648 88312 89243 91134 96197 96624 97356 99351 101992 102256 104082 105336 106323 111264 111386 112728 113544 114741 115038 121429 121512 122976 129808 131472 132468 138776 140448 141764 146034 150304 151392 152988 153384 156123 162016 166896 167079 167328 169092 176624 178486 182268 192394 193248 194712 198702 203984 204512 208164 210672 212646 222772 225456 227088 229482 230076 242858 243024 259616 262944 264936 267729 277552 283528 288591 292068 305976 306768 312246 318969 333792 334158 338184 353248 356972 364287 364536 384788 389424 389851 397404 407968 416328 421344 425292 445544 450912 454176 458964 460152 460793 485716 486048 501237 529872 535458 555104 567056 577182 584136 611952 613536 624492 637938 668316 673379 676368 713944 728574 729072 769576 778848 779702 794808 803187 832656 850584 865773 891088 917928 920304 921586 971432 1002474 1058167 1059744 1070916 1092861 1134112 1154364 1168272 1169553 1223904 1248984 1275876 1336632 1346758 1352736 1382379 1427888 1457148 1458144 1539152 1559404 1589616 1606374 1665312 1701168 1731546 1782176 1835856 1840608 1843172 1942864 2004948 2020137 2116334 2141832 2185722 2308728 2336544 2339106 2497968 2551752 2673264 2693516 2764758 2855776 2914296 3078304 3118808 3174501 3179232 3212748 3225551 3402336 3463092 3508659 3671712 3686344 3885728 4009896 4040274 4147137 4232668 4283664 4371444 4617456 4678212 4995936 5068723 5103504 5346528 5387032 5529516 5828592 6060411 6237616 6349002 6425496 6451102 6926184 7017318 7372688 7407169 8019792 8080548 8294274 8465336 8567328 8742888 8755067 9234912 9356424 9523503 9676653 10137446 10207008 10774064 11059032 11657184 12120822 12475232 12698004 12850992 12902204 13852368 14034636 14745376 14814338 15206169 16039584 16161096 16588548 16930672 17485776 17510134 18712848 19047006 19353306 20274892 21548128 22118064 22221507 24241644 25396008 25701984 25804408 26265201 27704736 28069272 28108373 29029959 29628676 30412338 32322192 33177096 33861344 34971552 35020268 35481061 37425696 38094012 38245819 38706612 40549784 44236128 44443014 45618507 48483288 50792016 51608816 52530402 56138544 56216746 58059918 59257352 60824676 61285469 64644384 66354192 66664521 70040536 70962122 76188024 76491638 77413224 78795603 81099568 84325119 88886028 91237014 96305737 96966576 101584032 103217632 105060804 106443183 112277088 112433492 114737457 116119836 118514704 121649352 122570938 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191841028104 194152365792 195971576556 205303556392 207777093216 209281121568 211487398452 212034820536 223814532788 223967516064 230966500941 244161308496 246735298194 255788037472 261295435408 265961425326 269165779848 281983197936 282713094048 287761542156 293957364834 307955334588 310288329547 311665639824 328980397592 335721799182 335951274096 354615233768 358887706464 359281223686 366241962744 370102947291 383682056208 391943153112 398942137989 410607112784 422974796904 424069641072 447629065576 461933001882 487595946431 488322616992 493470596388 503582698773 522590870816 531922850652 538331559696 538921835529 563966395872 575523084312 587914729668 615910669176 620576659094 623331279648 657960795184 671443598364 671902548192 709230467536 718562447372 732483925488 740205894582 767364112416 783886306224 797884275978 821214225568 845949593808 848139282144 895258131152 923866003764 930864988641 975191892862 986941192776 1007165397546 1063845701304 1076663119392 1077843671058 1151046168624 1175829459336 1231821338352 1241153318188 1315921590368 1342887196728 1418460935072 1437124894744 1462787839293 1464967850976 1480411789164 1567772612448 1595768551956 1616765506587 1691899187616 1790516262304 1847732007528 1861729977282 1950383785724 1973882385552 2014330795092 2127691402608 2155687342116 2302092337248 2351658918672 2463642676704 2482306636376 2685774393456 2792594965923 2874249789488 2925575678586 2960823578328 3191537103912 3233531013174 3413171625017 3695464015056 3723459954564 3900767571448 3947764771104 4028661590184 4255382805216 4311374684232 4388363517879 4703317837344 4964613272752 5371548786912 5585189931846 5748499578976 5851151357172 5921647156656 6383074207824 6467062026348 6826343250034 7390928030112 7446919909128 7801535142896 8057323180368 8622749368464 8776727035758 9929226545504 10239514875051 11170379863692 11702302714344 11843294313312 12766148415648 12934124052696 13652686500068 14893839818256 15603070285792 16114646360736 17245498736928 17553454071516 20479029750102 22340759727384 23404605428688 25868248105392 27305373000136 29787679636512 30718544625153 35106908143032 40958059500204 44681519454768 46809210857376 51736496210784 54610746000272 61437089250306 70213816286064 81916119000408 89363038909536 109221492000544 122874178500612 140427632572128 163832238000816 245748357001224 327664476001632 491496714002448 982993428004896
• Sum of all divisors σ(n): 3773661330216960
• Sum of proper divisors (its aliquot sum) s(n): 2790667902212064
• 982993428004896 is an abundant number, because the sum of its proper divisors (2790667902212064) is greater than itself. Its abundance is 1807674474207168

Bases of 982993428004896

• Binary: 11011111100000011011111110000101111100000000100000₂
• Hexadecimal: 0x37E06FE17C020
• Base-36: 9OFWY2W940

Squares and roots of 982993428004896

• 982993428004896 squared (982993428004896²) is 966276079500816655646999970816
• 982993428004896 cubed (982993428004896³) is 949843035787639180819176057574367509105115136
• The square root of 982993428004896 is 31352726.0059615231
• The cube root of 982993428004896 is 99429.8699615483

Scales and comparisons

• 982,993,428,004,896 seconds is equal to 31,256,150 years, 21 weeks, 3 days, 1 hour, 21 minutes, 36 seconds.
• To count from 1 to 982,993,428,004,896 would take you about seventy-eight million, one hundred forty thousand, three hundred seventy-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 982993428004896 cubic inches would be around 8285.8 feet tall.

Recreational maths with 982993428004896

• 982993428004896 backwards is 698400824399289
• The number of decimal digits it has is: 15
• The sum of 982993428004896's digits is 81
• More coming soon!