993142317440
993,142,317,440 is an even composite number composed of seven prime numbers multiplied together.
993142317440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 993142317440:
27 × 5 × 72 × 132 × 17 × 73 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 13 × 17 × 73 × 151)See below for interesting mathematical facts about the number 993142317440 from the Numbermatics database.
Names of 993142317440
- Cardinal: 993142317440 can be written as Nine hundred ninety-three billion, one hundred forty-two million, three hundred seventeen thousand, four hundred forty.
Scientific notation
- Scientific notation: 9.9314231744 × 1011
Factors of 993142317440
Divisors of 993142317440
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 32 34 35 40 49 52 56 64 65 68 70 73 80 85 91 98 104 112 119 128 130 136 140 146 151 160 169 170 182 196 208 221 224 238 245 260 272 280 292 302 320 338 340 364 365 392 416 442 448 455 476 490 511 520 544 560 584 595 604 637 640 676 680 728 730 755 784 832 833 845 884 896 910 949 952 980 1022 1040 1057 1088 1105 1120 1168 1183 1190 1208 1241 1274 1352 1360 1456 1460 1510 1547 1568 1664 1666 1690 1768 1820 1898 1904 1960 1963 2044 2080 2114 2176 2210 2240 2336 2366 2380 2416 2482 2548 2555 2567 2704 2720 2873 2912 2920 3020 3094 3136 3185 3332 3380 3536 3577 3640 3796 3808 3920 3926 4088 4160 4165 4228 4420 4480 4672 4732 4745 4760 4832 4964 5096 5110 5134 5285 5408 5440 5746 5824 5840 5915 6040 6188 6205 6272 6370 6643 6664 6760 7072 7154 7280 7399 7592 7616 7735 7840 7852 8176 8281 8320 8330 8456 8687 8840 9344 9464 9490 9520 9664 9815 9928 10192 10220 10268 10570 10816 10829 10880 11023 11492 11648 11680 11830 12080 12337 12376 12410 12740 12835 13286 13328 13520 13741 14144 14308 14365 14560 14798 15184 15232 15470 15680 15704 16133 16352 16562 16660 16912 17374 17680 17885 17969 18928 18980 19040 19328 19630 19856 20111 20384 20440 20536 21140 21632 21658 22046 22984 23360 23660 24160 24674 24752 24820 25480 25519 25670 26572 26656 27040 27482 28288 28616 28730 29120 29596 30368 30940 31360 31408 32266 32704 33124 33215 33320 33371 33824 34748 35360 35770 35938 36995 37856 37960 38080 39260 39712 40222 40768 40880 41072 41405 42280 43316 43435 44092 45968 46501 46720 47320 48320 49348 49504 49640 50960 51038 51340 53144 53312 54080 54145 54964 55115 57232 57460 58240 59192 60736 60809 61685 61880 62816 64532 65408 66248 66430 66640 66742 67648 68705 69496 70720 71540 71876 73990 75712 75920 76160 77161 78520 79424 80444 80665 81536 81760 82144 82810 84560 86359 86632 86870 88184 89845 91936 93002 94640 96187 96640 98696 99008 99280 100555 101920 102076 102680 106288 106624 108160 108290 109928 110230 112931 114464 114920 118384 121472 121618 123370 123760 125632 125783 127595 129064 132496 132860 133280 133484 135296 137410 138992 140777 141440 143080 143299 143752 147980 151424 151840 154322 157040 158848 160888 161330 163520 164288 165620 166855 169120 172718 173264 173740 176368 178633 179690 183872 186004 187391 189280 192374 197392 198016 198560 201110 203840 204152 205360 209729 212576 216580 219856 220460 225862 228928 229840 232505 233597 236768 243236 246740 247520 251264 251566 255190 258128 264992 265720 266560 266968 274820 277984 281554 286160 286598 287504 295960 303680 304045 308644 314080 321776 322660 327040 328576 331240 333710 338240 345436 346528 347480 352736 357266 359380 367744 372008 374782 378560 384748 385805 394784 397120 402220 407680 408304 410720 419458 425152 431795 433160 433823 439712 440920 451724 457856 459680 465010 467194 473536 480935 486472 493480 495040 503132 510380 516256 529984 531440 533120 533936 540127 549640 555968 563108 564655 572320 573196 575008 591920 604513 607360 608090 617288 628160 628915 643552 645320 662480 667420 676480 690872 693056 694960 703885 705472 714532 716495 718760 744016 749564 757120 769496 771610 789568 790517 794240 804440 816608 821440 838916 850304 863590 866320 867646 879424 881840 893165 903448 919360 930020 934388 936955 947072 961870 972944 986960 990080 1003093 1006264 1020760 1032512 1048645 1059968 1062880 1067872 1080254 1099280 1111936 1126216 1129310 1144640 1146392 1150016 1167985 1183840 1209026 1216180 1234576 1250431 1256320 1257830 1287104 1290640 1311737 1324960 1334840 1381744 1386112 1389920 1407770 1410944 1429064 1432990 1437520 1468103 1488032 1499128 1538992 1543220 1579136 1581034 1608880 1633216 1635179 1642880 1677832 1727180 1732640 1735292 1758848 1763680 1786330 1806896 1838720 1860040 1862887 1868776 1873910 1923740 1945888 1973920 2006186 2012528 2041520 2065024 2097290 2125760 2135744 2160508 2169115 2198560 2252432 2258620 2289280 2292784 2300032 2335970 2367680 2418052 2432360 2436083 2469152 2500862 2515660 2574208 2581280 2623474 2649920 2669680 2700635 2763488 2779840 2815540 2858128 2865980 2875040 2936206 2976064 2998256 3022565 3036761 3077984 3086440 3162068 3217760 3266432 3270358 3355664 3454360 3465280 3470584 3527360 3572660 3613792 3720080 3725774 3737552 3747820 3847480 3891776 3947840 3952585 4012372 4025056 4083040 4194580 4251520 4271488 4321016 4338230 4397120 4504864 4517240 4585568 4671940 4735360 4836104 4864720 4872166 4938304 5001724 5015465 5031320 5162560 5246948 5299840 5339360 5401270 5526976 5559680 5631080 5716256 5731960 5750080 5872412 5952128 5996512 6045130 6073522 6155968 6172880 6252155 6324136 6435520 6540716 6558685 6711328 6908720 6930560 6941168 7021651 7054720 7145320 7227584 7340515 7440160 7451548 7475104 7495640 7694960 7783552 7895680 7905170 8024744 8050112 8166080 8175895 8389160 8642032 8676460 8794240 9009728 9034480 9171136 9182159 9314435 9343880 9672208 9729440 9744332 9876608 10003448 10030930 10062640 10276721 10325120 10493896 10678720 10802540 11053952 11262160 11432512 11463920 11500160 11744824 11993024 12090260 12147044 12180415 12311936 12345760 12504310 12648272 12871040 13040209 13081432 13117370 13422656 13817440 13882336 14043302 14290640 14455168 14681030 14880320 14903096 14950208 14991280 15183805 15389920 15810340 16049488 16100224 16332160 16351790 16778320 17052581 17284064 17352920 18019456 18068960 18342272 18364318 18628870 18687760 19344416 19458880 19488664 20006896 20061860 20125280 20553442 20987792 21257327 21357440 21605080 22524320 22865024 22927840 23489648 23986048 24180520 24294088 24360830 24691520 25008620 25296544 26080418 26162864 26234740 26845312 27634880 27764672 28086604 28581280 29362060 29760640 29806192 29900416 29982560 30367610 30779840 31620680 31669079 32098976 32703580 33556640 34105162 34568128 34705840 35108255 36137920 36728636 37257740 37375520 38688832 38917760 38977328 40013792 40123720 40250560 41106884 41975584 42514654 43210160 45048640 45855680 45910795 46979296 48361040 48588176 48721660 49383040 50017240 50593088 51383605 52160836 52325728 52469480 55269760 55529344 56173208 57162560 58724120 59612384 59965120 60735220 61559680 63241360 63338158 64197952 65201045 65407160 67113280 68210324 69136256 69411680 70216510 72275840 73457272 74515480 74751040 77377664 77954656 80027584 80247440 80501120 82213768 83951168 85029308 85262905 86420320 90097280 91281463 91711360 91821590 93958592 96722080 97176352 97443320 100034480 101186176 102767210 104321672 104651456 104938960 106286635 112346416 114325120 117448240 119224768 119368067 119930240 121470440 126482720 126676316 128395904 130402090 130814320 134226560 136420648 138823360 140433020 146914544 149030960 149502080 155909312 158345395 160055168 160494880 164427536 167902336 170058616 170525810 172840640 182562926 183643180 187917184 193444160 194352704 194886640 200068960 205534420 208643344 209302912 209877920 212573270 221683553 224692832 234896480 238449536 238736134 242940880 252965440 253352632 260804180 261628640 272841296 277646720 280866040 293829088 298061920 311818624 316690790 320989760 328855072 340117232 341051620 345681280 365125852 367286360 386888320 388705408 389773280 400137920 411068840 417286688 419755840 425146540 443367106 449385664 456407315 469792960 477472268 485881760 505930880 506705264 521608360 523257280 545682592 561732080 587658176 596123840 596840335 633381580 641979520 657710144 680234464 682103240 730251704 734572720 779546560 800275840 822137680 834573376 839511680 850293080 886734212 898771328 912814630 939585920 954944536 971763520 1013410528 1043216720 1046514560 1091365184 1108417765 1123464160 1175316352 1192247680 1193680670 1266763160 1315420288 1360468928 1364206480 1460503408 1469145440 1551784871 1559093120 1644275360 1669146752 1700586160 1773468424 1825629260 1909889072 1943527040 2026821056 2086433440 2182730368 2216835530 2246928320 2387361340 2533526320 2720937856 2728412960 2921006816 2938290880 3103569742 3288550720 3401172320 3546936848 3651258520 3819778144 4053642112 4172866880 4433671060 4493856640 4774722680 5067052640 5456825920 5842013632 5876581760 6207139484 6577101440 6802344640 7093873696 7302517040 7639556288 7758924355 8345733760 8867342120 9549445360 10134105280 10913651840 11684027264 12414278968 13604689280 14187747392 14605034080 15279112576 15517848710 17734684240 19098890720 20268210560 24828557936 28375494784 29210068160 31035697420 35469368480 38197781440 49657115872 58420136320 62071394840 70938736960 76395562880 99314231744 124142789680 141877473920 198628463488 248285579360 496571158720 993142317440
- Sum of all divisors σ(n): 3231210035520
- Sum of proper divisors (its aliquot sum) s(n): 2238067718080
- 993142317440 is an abundant number, because the sum of its proper divisors (2238067718080) is greater than itself. Its abundance is 1244925400640
Bases of 993142317440
- Binary: 11100111001110111110010100100001100000002
- Hexadecimal: 0xE73BE52180
- Base-36: CO8RAKJK
Squares and roots of 993142317440
- 993142317440 squared (9931423174402) is 986331662690093728153600
- 993142317440 cubed (9931423174403) is 979567713248488069709275676278784000
-
The
square root of 993142317440 is 996565.2600005681 -
The
cube root of 993142317440 is 9977.0886050211
Scales and comparisons
How big is 993142317440?- 993,142,317,440 seconds is equal to 31,578 years, 44 weeks, 2 days, 17 hours, 57 minutes, 20 seconds.
-
To count from 1 to 993,142,317,440 would take you about sixty-three thousand, one hundred fifty-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 993142317440 cubic inches would be around 831.4 feet tall.
Recreational maths with 993142317440
- 993142317440 backwards is 044713241399
- The number of decimal digits it has is: 12
- The sum of 993142317440's digits is 47
- More coming soon!
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The information we have on file for 993142317440 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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