998140442451152
998,140,442,451,152 is an even composite number composed of six prime numbers multiplied together.
998140442451152 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 998140442451152:
24 × 73 × 113 × 133 × 37 × 412
(2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 13 × 37 × 41 × 41)See below for interesting mathematical facts about the number 998140442451152 from the Numbermatics database.
Names of 998140442451152
- Cardinal: 998140442451152 can be written as Nine hundred ninety-eight trillion, one hundred forty billion, four hundred forty-two million, four hundred fifty-one thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 9.98140442451152 × 1014
Factors of 998140442451152
Divisors of 998140442451152
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 37 41 44 49 52 56 74 77 82 88 91 98 104 112 121 143 148 154 164 169 176 182 196 208 242 259 286 287 296 308 328 338 343 364 392 407 451 481 484 518 533 539 572 574 592 616 637 656 676 686 728 784 814 847 902 962 968 1001 1036 1066 1078 1144 1148 1183 1232 1274 1331 1352 1372 1456 1517 1573 1628 1681 1694 1804 1813 1859 1924 1936 2002 2009 2072 2132 2156 2197 2288 2296 2366 2548 2662 2704 2744 2849 3034 3146 3157 3256 3362 3367 3388 3608 3626 3718 3731 3773 3848 4004 4018 4144 4264 4312 4394 4459 4477 4592 4732 4961 5096 5291 5324 5488 5698 5863 5929 6068 6253 6292 6314 6512 6724 6734 6776 6929 7007 7216 7252 7436 7462 7546 7696 8008 8036 8281 8528 8624 8788 8918 8954 9317 9464 9922 10192 10582 10619 10648 11011 11396 11726 11767 11858 12136 12506 12584 12628 12691 13013 13448 13468 13552 13858 14014 14063 14504 14872 14924 15092 15379 16016 16072 16562 16687 17303 17576 17836 17908 18491 18634 18928 19721 19844 19943 20449 21164 21238 21296 21853 22022 22099 22792 23452 23534 23569 23716 24167 24272 25012 25168 25256 25382 26026 26117 26896 26936 27716 28028 28126 29008 29744 29848 30184 30758 31339 32144 33124 33374 34606 34727 35152 35672 35816 36982 37037 37268 39442 39688 39886 40898 41041 41503 42328 42476 43706 43771 44044 44198 45584 46904 47068 47138 47432 48334 48503 49049 49247 50024 50512 50764 52052 52234 53872 54571 55432 56056 56252 57967 58201 59696 60368 61516 62197 62678 64493 65219 66248 66748 68783 69212 69454 71344 71632 73964 74074 74333 74536 76219 77077 78884 79376 79772 81289 81796 82082 82369 83006 84656 84952 87412 87542 88088 88396 90077 91091 93808 94136 94276 94864 96668 97006 98098 98494 100048 101528 104104 104468 107653 109142 110864 112112 112504 115934 116402 116809 121121 123032 124394 125356 128986 129437 130438 132496 133496 137566 138047 138424 138908 139601 143143 147928 148148 148666 149072 152438 152971 154154 154693 157768 159544 162578 163592 164164 164738 164983 166012 169169 169904 174824 175084 176176 176792 180154 182182 182819 183557 188272 188552 193336 194012 196196 196988 203056 203401 208208 208936 215306 216931 218284 219373 224939 225008 231868 232804 233618 240383 242242 243089 246064 248788 250712 256373 257972 258874 259259 260876 265837 266992 275132 276094 276848 277816 279202 284089 286286 287287 295856 296296 297332 304876 305942 306397 308308 309386 315536 319088 325156 327184 328328 329476 329966 332024 338338 339521 344729 349648 350168 353584 360308 364364 365638 367114 377104 381997 386672 388024 392392 393976 406802 407407 417872 430612 433862 435379 436568 438746 449878 451451 456533 463736 465608 467236 480766 481481 484484 486178 497576 501424 512746 515944 517748 518518 520331 521752 531674 533533 539539 550264 552188 555632 558404 568178 569023 572572 574574 576583 592592 594664 609752 611884 612794 616616 618772 630539 637637 640211 650312 656656 658952 659932 664048 676676 679042 684167 689458 700336 709423 720616 728728 731276 734228 753571 756613 763994 776048 784784 787952 808561 813604 814814 817663 838409 847847 861224 867724 870758 873136 877492 894179 899756 902902 906059 913066 927472 931216 934472 961532 962962 966329 968968 972356 990847 995152 1002001 1025492 1031888 1035496 1037036 1040662 1043504 1063348 1067066 1070797 1079078 1100528 1104376 1116808 1136356 1138046 1145144 1149148 1153166 1184183 1189328 1219504 1223768 1225588 1233232 1237544 1261078 1275274 1280422 1284899 1300624 1317904 1319864 1353352 1358084 1368334 1378916 1418846 1423807 1441232 1457456 1462552 1468456 1507142 1513226 1518517 1527988 1535611 1574573 1617122 1627208 1629628 1635326 1676818 1682681 1695694 1701623 1722448 1735448 1741516 1754984 1788358 1794611 1799512 1805804 1812118 1814813 1826132 1860859 1868944 1923064 1925924 1932658 1937936 1944712 1981694 1988623 2004002 2011009 2019127 2050984 2070992 2074072 2081324 2126696 2134132 2141594 2144779 2158156 2208752 2233616 2237411 2272712 2276092 2290288 2298296 2306332 2368366 2376647 2386241 2413103 2447536 2451176 2475088 2522156 2550548 2560844 2569798 2639728 2644213 2673979 2706704 2716168 2736668 2757832 2820103 2837692 2847614 2851849 2924207 2925104 2936912 3014284 3026452 3037034 3047653 3055976 3071222 3124979 3149146 3160157 3234244 3254416 3259256 3270652 3332849 3353636 3365362 3370367 3391388 3403246 3470896 3483032 3509968 3576716 3589222 3599024 3611608 3624236 3629626 3652264 3693157 3721718 3734731 3846128 3851848 3865316 3889424 3963388 3977246 3983161 4008004 4022018 4038254 4101968 4148144 4162648 4253392 4268264 4283188 4289558 4316312 4413773 4474822 4481477 4545424 4552184 4596592 4612664 4736732 4753294 4772482 4789169 4826206 4902352 4965961 5044312 5101096 5121688 5139596 5288426 5296291 5347958 5432336 5473336 5515664 5640206 5659927 5675384 5695228 5703698 5723641 5848414 5868863 5934929 6028568 6052904 6074068 6095306 6111952 6142444 6249958 6259253 6298292 6320314 6342413 6468488 6518512 6541304 6665698 6707272 6730724 6740734 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3050700653 3069727892 3128103979 3163317157 3226197832 3237478244 3257670416 3262515256 3273922652 3356989636 3368727362 3373737367 3474366896 3486515032 3513477968 3574975976 3592811222 3605373499 3615219608 3627860236 3738465731 3754708496 3826110652 3849974128 3855699848 3869181316 3893313424 3981223246 4012012004 4056426143 4106069968 4120426856 4152292144 4272532264 4287471188 4304778764 4436022019 4437382768 4549969424 4572668828 4601188592 4635915592 4777254482 4793958169 4907254352 4915591967 5067011404 5087465812 5144735596 5162724182 5293714426 5301587291 5437768336 5459719408 5478809336 5540484488 5645846206 5665586927 5700923228 5709401698 5874731863 5900256208 6012459596 6049959344 6058956904 6080142068 6101401306 6139455784 6256207958 6326634314 6452395664 6474956488 6525030512 6547845304 6695693641 6713979272 6737454724 6747474734 6973030064 7149951952 7185622444 7210746998 7230439216 7255720472 7476931462 7533362837 7652221304 7711399696 7738362632 7962446492 8024024008 8112852286 8240853712 8545064528 8574942376 8609557528 8872044038 8903065171 9003287293 9145337656 9271831184 9554508964 9587916338 9831183934 9976615649 10134022808 10174931624 10289471192 10325448364 10521804293 10587428852 10603174582 10640248619 10957618672 11080968976 11291692412 11331173854 11401846456 11418803396 11749463726 11790545767 12024919192 12117913808 12160284136 12202802612 12278911568 12512415916 12574839277 12653268628 12949912976 13095690608 13391387282 13427958544 13474909448 13494949468 13934281361 13990530983 14371244888 14421493996 14511440944 14953862924 15066725674 15304442608 15476725264 15924892984 16048048016 16225704572 16534263889 16720390687 17149884752 17219115056 17744088076 17806130342 18006574586 18290675312 18528000491 19109017928 19175832676 19662367868 19760461721 19953231298 20268045616 20349863248 20578942384 20650896728 21043608586 21174857704 21206349164 21280497238 21896727853 22583384824 22662347708 22803692912 22837606792 23498927452 23581091534 24049838384 24320568272 24405605224 25024831832 25149678554 25306537256 26782774564 26949818896 26989898936 27868562722 27981061966 28394983001 28742489776 28842987992 29907725848 30133451348 31052154133 31849785968 32451409144 33068527778 33440781374 33557707183 34409143769 35488176152 35612260684 36013149172 37056000982 37111111037 38218035856 38351665352 39324735736 39520923442 39659108489 39906462596 41123123041 41301793456 42087217172 42349715408 42412698328 42560994476 43793455706 45166769648 45324695416 45675213584 46869855487 46997854904 47162183068 48811210448 50049663664 50299357108 50613074512 52733539859 53565549128 53979797872 55737125444 55962123932 56789966002 57685975984 59815451696 60266902696 62104308266 62321456197 64902818288 66137055556 66881562748 67115414366 68818287538 70976352304 71224521368 72026298344 73652630051 74112001964 74222222074 76703330704 78649471472 79041846884 79318216978 79812925192 82246246082 84174434344 84825396656 85121988952 87586911412 90649390832 93739710974 93995709808 94324366136 97933716881 100598714216 105467079718 107131098256 111474250888 111924247864 113579932004 115739847223 117042734809 120533805392 124208616532 124642912394 129696003437 132274111112 133763125496 134230828732 137636575076 138323232047 142449042736 144052596688 147305260102 148224003928 148444444148 153277094971 158083693768 158636433956 159625850384 164492492164 168348868688 170243977904 175173822824 181876902779 187479421948 188648732272 195867433762 201197428432 210934159436 217365078931 222948501776 223848495728 227159864008 231479694446 234085469618 240864006383 248417233064 249285824788 259392006874 264548222224 267526250992 268461657464 275273150152 276646464094 294610520204 296448007856 296888888296 306554189942 316167387536 317272867912 328984984328 350347645648 363753805558 369134779013 374958843896 391734867524 421868318872 434730157862 436250193379 454319728016 462959388892 468170939236 481728012766 496834466128 498571649576 515568410357 518784013748 536923314928 550546300304 553292928188 589221040408 593777776592 613108379884 634545735824 657969968656 685536018167 727507611116 738269558026 749917687792 783469735048 810178930561 843736637744 869460315724 872500386758 925918777784 936341878472 963456025532 997143299152 1031136820714 1037568027496 1106585856376 1178442080816 1226216759768 1273138319453 1371072036334 1455015222232 1476539116052 1521555552517 1566939470096 1620357861122 1686048044681 1738920631448 1745000773516 1851837555568 1872683756944 1926912051064 2062273641428 2075136054992 2213171712752 2452433519536 2546276638906 2742144072668 2910030444464 2953078232104 3043111105034 3240715722244 3372096089362 3477841262896 3490001547032 3853824102128 4124547282856 4798752127169 5092553277812 5484288145336 5671252513927 5906156464208 6086222210068 6481431444488 6744192178724 6980003094064 8249094565712 8911968236171 9597504254338 10185106555624 10968576290672 11342505027854 12172444420136 12962862888976 13488384357448 17823936472342 19195008508676 20370213111248 22685010055708 24344888840272 26976768714896 35647872944684 38390017017352 45370020111416 62383777653197 71295745889368 76780034034704 90740040222832 124767555306394 142591491778736 249535110612788 499070221225576 998140442451152
- Sum of all divisors σ(n): 2828841359232000
- Sum of proper divisors (its aliquot sum) s(n): 1830700916780848
- 998140442451152 is an abundant number, because the sum of its proper divisors (1830700916780848) is greater than itself. Its abundance is 832560474329696
Bases of 998140442451152
- Binary: 111000101111001101101011101000001000011100110100002
- Hexadecimal: 0x38BCDAE821CD0
- Base-36: 9TT7E07NWW
Squares and roots of 998140442451152
- 998140442451152 squared (9981404424511522) is 996284342856581477581906127104
- 998140442451152 cubed (9981404424511523) is 994431694786023452491049319684126853023223808
-
The
square root of 998140442451152 is 31593360.7337230269 -
The
cube root of 998140442451152 is 99937.9762869153
Scales and comparisons
How big is 998140442451152?- 998,140,442,451,152 seconds is equal to 31,737,778 years, 32 weeks, 1 day, 6 hours, 12 minutes, 32 seconds.
-
To count from 1 to 998,140,442,451,152 would take you about seventy-nine million, three hundred forty-four thousand, four 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 998140442451152 cubic inches would be around 8328.2 feet tall.
Recreational maths with 998140442451152
- 998140442451152 backwards is 251154244041899
- The number of decimal digits it has is: 15
- The sum of 998140442451152's digits is 59
- More coming soon!
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MLA style:
"Number 998140442451152 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 998140442451152 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/998140442451152/
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Numbermatics. 2024. "Number 998140442451152 - Facts about the integer". https://numbermatics.com/n/998140442451152/
The information we have on file for 998140442451152 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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