993228200098992
993,228,200,098,992 is an even composite number composed of seven prime numbers multiplied together.
993228200098992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 993228200098992:
24 × 35 × 11 × 13 × 31 × 409 × 140897
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 31 × 409 × 140897)See below for interesting mathematical facts about the number 993228200098992 from the Numbermatics database.
Names of 993228200098992
- Cardinal: 993228200098992 can be written as Nine hundred ninety-three trillion, two hundred twenty-eight billion, two hundred million, ninety-eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 9.93228200098992 × 1014
Factors of 993228200098992
Divisors of 993228200098992
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 31 33 36 39 44 48 52 54 62 66 72 78 81 88 93 99 104 108 117 124 132 143 144 156 162 176 186 198 208 216 234 243 248 264 279 286 297 312 324 341 351 372 396 403 409 429 432 468 486 496 528 558 572 594 624 648 682 702 744 792 806 818 837 858 891 936 972 1023 1053 1116 1144 1188 1209 1227 1287 1296 1364 1404 1488 1584 1612 1636 1674 1716 1782 1872 1944 2046 2106 2232 2288 2376 2418 2454 2511 2574 2673 2728 2808 3069 3159 3224 3272 3348 3432 3564 3627 3681 3861 3888 4092 4212 4433 4464 4499 4752 4836 4908 5022 5148 5317 5346 5456 5616 6138 6318 6448 6544 6696 6864 7128 7254 7362 7533 7722 8184 8424 8866 8998 9207 9672 9816 10044 10296 10634 10692 10881 11043 11583 12276 12636 12679 13299 13392 13497 14256 14508 14724 15066 15444 15951 16368 16848 17732 17996 18414 19344 19632 20088 20592 21268 21384 21762 22086 23166 24552 25272 25358 26598 26994 27621 29016 29448 30132 30888 31902 32643 33129 34749 35464 35992 36828 38037 39897 40176 40491 42536 42768 43524 44172 46332 47853 49104 50544 50716 53196 53988 55242 58032 58487 58896 60264 61776 63804 65286 66258 69498 70928 71984 73656 76074 79794 80982 82863 85072 87048 88344 92664 95706 97929 99387 101432 106392 107976 110484 114111 116974 119691 120528 121473 127608 130572 132516 138996 139469 140897 143559 147312 152148 159588 161964 164827 165726 174096 175461 176688 185328 191412 195858 198774 202864 212784 215952 220968 228222 233948 239382 242946 255216 261144 265032 277992 278938 281794 287118 304296 319176 323928 329654 331452 342333 350922 359073 364419 382824 391716 397548 418407 422691 430677 441936 456444 467896 478764 485892 494481 522288 526383 530064 555984 557876 563588 574236 608592 638352 647856 659308 662904 684666 701844 718146 728838 765648 783432 795096 836814 845382 861354 912888 935792 957528 971784 988962 1026999 1052766 1077219 1093257 1115752 1127176 1148472 1255221 1268073 1292031 1318616 1325808 1369332 1403688 1436292 1457676 1483443 1549867 1566864 1579149 1590192 1673628 1690764 1722708 1813097 1825776 1831661 1915056 1943568 1977924 2053998 2105532 2154438 2186514 2231504 2254352 2296944 2510442 2536146 2584062 2637232 2738664 2807376 2872584 2915352 2966886 3080997 3099734 3158298 3347256 3381528 3445416 3626194 3663322 3765663 3804219 3955848 4107996 4211064 4308876 4367807 4373028 4450329 4649601 4737447 5020884 5072292 5168124 5439291 5477328 5494983 5745168 5830704 5933772 6161994 6199468 6316596 6694512 6763056 6890832 7252388 7326644 7531326 7608438 7911696 8215992 8422128 8617752 8735614 8746056 8900658 9299202 9474894 10041768 10144584 10336248 10878582 10989966 11296989 11412657 11867544 12323988 12398936 12633192 13103421 13350987 13948803 14212341 14504776 14653288 15062652 15216876 16317873 16431984 16484949 17235504 17471228 17492112 17801316 18598404 18949788 20083536 20148271 20289168 20672496 21757164 21979932 22593978 22825314 23735088 24647976 24797872 25266384 26206842 26701974 27897606 28424682 29009552 29306576 30125304 30433752 32635746 32969898 33890967 34237971 34942456 35602632 37196808 37899576 39310263 40052961 40296542 41846409 43514328 43959864 45187956 45650628 48045877 48953619 49295952 49454847 52413684 53403948 55795212 56781491 56849364 57626873 60250608 60444813 60867504 65271492 65939796 67781934 68475942 69884912 71205264 74393616 75799152 78620526 80105922 80593084 83692818 87028656 87919728 90375912 91301256 96091754 97907238 98909694 104827368 106807896 111590424 113562982 113698728 115253746 117930789 120889626 125539227 130542984 131879592 135563868 136951884 144137631 146860857 148364541 157241052 160211844 161186168 167385636 170344473 172880619 180751824 181334439 182602512 192183508 195814476 197819388 209654736 213615792 223180848 227125964 227397456 230507492 235861578 241779252 251078454 261085968 263759184 271127736 273903768 288275262 293721714 296729082 314482104 320423688 322372336 334771272 340688946 345761238 353792367 362668878 376617681 384367016 391628952 395638776 432412893 440582571 445093623 454251928 461014984 471723156 483558504 502156908 511033419 518641857 542255472 544003317 547807536 576550524 587443428 593458164 624596401 628964208 633895603 640847376 669542544 681377892 691522476 707584734 725337756 749149349 753235362 768734032 783257904 791277552 864825786 881165142 890187246 908503856 922029968 943446312 967117008 1004313816 1022066838 1037283714 1061377101 1088006634 1153101048 1174886856 1186916328 1249192802 1267791206 1297238679 1362755784 1383044952 1415169468 1450675512 1498298698 1506470724 1533100257 1555925571 1632009951 1729651572 1762330284 1780374492 1786433063 1873789203 1886892624 1901686809 2008627632 2044133676 2074567428 2122754202 2176013268 2247448047 2306202096 2349773712 2373832656 2498385604 2535582412 2594477358 2725511568 2766089904 2830338936 2901351024 2996597396 3012941448 3066200514 3111851142 3264019902 3459303144 3524660568 3560748984 3572866126 3747578406 3803373618 3891716037 4088267352 4149134856 4245508404 4352026536 4494896094 4599300771 4667776713 4896029853 4996771208 5071164824 5188954716 5359299189 5621367609 5660677872 5705060427 5993194792 6025882896 6132401028 6223702284 6528039804 6742344141 6918606288 7049321136 7121497968 7145732252 7495156812 7606747236 7783432074 8176534704 8240642839 8298269712 8491016808 8704053072 8989792188 9198601542 9335553426 9792059706 9993542416 10142329648 10377909432 10718598378 11242735218 11410120854 11675148111 11986389584 12264802056 12447404568 13056079608 13484688282 13797902313 14003330139 14291464504 14990313624 15213494472 15566864148 16077897567 16481285678 16864102827 16982033616 17115181281 17979584376 18397203084 18671106852 19584119412 19650763693 20227032423 20755818864 21437196756 22485470436 22820241708 23223629819 23350296222 24529604112 24721928517 24894809136 26112159216 26969376564 27595804626 28006660278 28582929008 29980627248 30426988944 31133728296 32155795134 32962571356 33728205654 34230362562 35959168752 36794406168 37342213704 39168238824 39301527386 40454064846 42874393512 44970940872 45640483416 46447259638 46700592444 48233692701 49443857034 50592308481 51345543843 53938753128 55191609252 56013320556 58952291079 60681097269 62267456592 64311590268 65925142712 67456411308 68460725124 69670889457 73588812336 74165785551 74684427408 78336477648 78603054772 80908129692 85748787024 89941881744 91280966832 92894519276 93401184888 96467385402 98887714068 101184616962 102691087686 107877506256 110383218504 112026641112 117904582158 121362194538 128623180536 131850285424 134912822616 136921450248 139341778914 144701078103 148331571102 151776925443 154036631529 157206109544 161816259384 176856873237 182043291807 185789038552 186802369776 192934770804 197775428136 202369233924 205382175372 209012668371 220766437008 222497356653 224053282224 235809164316 242724389076 255459928009 257246361072 269825645232 273842900496 278683557828 289402156206 296663142204 303553850886 308073263058 314412219088 323632518768 353713746474 364086583614 371578077104 385869541608 395550856272 404738467848 410764350744 418025336742 434103234309 444994713306 471618328632 485448778152 510919856018 530570619711 557367115656 578804312412 593326284408 607107701772 616146526116 627038005113 667492069959 707427492948 728173167228 766379784027 771739083216 809476935696 821528701488 836050673484 868206468618 889989426612 943236657264 970897556304 1021839712036 1061141239422 1114734231312 1157608624824 1186652568816 1214215403544 1232293052232 1254076010226 1334984139918 1414854985896 1456346334456 1532759568054 1591711859133 1672101346968 1736412937236 1779978853224 1881114015339 2002476209877 2043679424072 2122282478844 2299139352081 2315217249648 2428430807088 2464586104464 2508152020452 2669968279836 2829709971792 2912692668912 3065519136108 3183423718266 3344202693936 3472825874472 3559957706448 3762228030678 4004952419754 4087358848144 4244564957688 4598278704162 4775135577399 5016304040904 5339936559672 5643342046017 6131038272216 6366847436532 6897418056243 6945651748944 7524456061356 8009904839508 8489129915376 9196557408324 9550271154798 10032608081808 10679873119344 11286684092034 12262076544432 12733694873064 13794836112486 15048912122712 16019809679016 18393114816648 19100542309596 20692254168729 22573368184068 25467389746128 27589672224972 30097824245424 32039619358032 36786229633296 38201084619192 41384508337458 45146736368136 55179344449944 62076762506187 76402169238384 82769016674916 90293472736272 110358688899888 124153525012374 165538033349832 248307050024748 331076066699664 496614100049496 993228200098992
- Sum of all divisors σ(n): 3504378625413120
- Sum of proper divisors (its aliquot sum) s(n): 2511150425314128
- 993228200098992 is an abundant number, because the sum of its proper divisors (2511150425314128) is greater than itself. Its abundance is 1517922225215136
Bases of 993228200098992
- Binary: 111000011101010101111101100000110000111100101100002
- Hexadecimal: 0x38755F60C3CB0
- Base-36: 9S2IQHY300
Squares and roots of 993228200098992
- 993228200098992 squared (9932282000989922) is 986502257471883291958599416064
- 993228200098992 cubed (9932282000989923) is 979821861582391024153770843375863478195007488
-
The
square root of 993228200098992 is 31515523.1608011229 -
The
cube root of 993228200098992 is 99773.7618857799
Scales and comparisons
How big is 993228200098992?- 993,228,200,098,992 seconds is equal to 31,581,584 years, 26 weeks, 2 days, 9 hours, 43 minutes, 12 seconds.
-
To count from 1 to 993,228,200,098,992 would take you about seventy-eight million, nine hundred fifty-three thousand, nine hundred sixty-one 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 993228200098992 cubic inches would be around 8314.5 feet tall.
Recreational maths with 993228200098992
- 993228200098992 backwards is 299890002822399
- 993228200098992 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 993228200098992's digits is 72
- More coming soon!
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The information we have on file for 993228200098992 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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