993085317120

Names of 993085317120

• Cardinal: 993085317120 can be written as Nine hundred ninety-three billion, eighty-five million, three hundred seventeen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 9.9308531712 × 10¹¹

Factors of 993085317120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 166

Divisors of 993085317120

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 29 30 32 34 39 40 48 51 52 58 60 64 65 68 78 80 85 87 96 97 102 104 116 120 128 130 136 145 156 160 169 170 174 192 194 195 204 208 221 232 240 255 256 260 272 290 291 312 320 338 340 348 377 384 388 390 408 416 435 442 464 480 485 493 507 510 512 520 544 580 582 624 640 663 676 680 696 754 768 776 780 816 832 845 870 884 928 960 970 986 1014 1020 1024 1040 1088 1105 1131 1160 1164 1248 1261 1280 1326 1352 1360 1392 1455 1479 1508 1536 1552 1560 1632 1649 1664 1690 1740 1768 1856 1885 1920 1940 1972 2028 2040 2048 2080 2176 2210 2262 2320 2328 2465 2496 2522 2535 2560 2652 2704 2720 2784 2813 2873 2910 2958 3016 3072 3104 3120 3264 3298 3315 3328 3380 3480 3536 3712 3770 3783 3840 3880 3944 4056 4080 4096 4160 4352 4420 4524 4640 4656 4901 4930 4947 4992 5044 5070 5120 5304 5408 5440 5568 5626 5655 5746 5820 5916 6032 6144 6208 6240 6305 6409 6528 6596 6630 6656 6760 6960 7072 7395 7424 7540 7566 7680 7760 7888 8112 8160 8192 8245 8320 8439 8619 8704 8840 9048 9280 9312 9802 9860 9894 9984 10088 10140 10240 10608 10816 10880 11136 11252 11310 11492 11640 11832 12064 12288 12416 12480 12610 12818 13056 13192 13260 13312 13520 13920 14065 14144 14365 14703 14790 14848 15080 15132 15360 15520 15776 16224 16320 16393 16490 16640 16878 17238 17408 17680 18096 18560 18624 18915 19227 19604 19720 19788 19968 20176 20280 20480 21216 21437 21632 21760 22272 22504 22620 22984 23280 23664 24128 24505 24576 24735 24832 24960 25220 25636 26112 26384 26520 26624 27040 27840 28130 28288 28730 29406 29580 29696 30160 30264 30720 31040 31552 32045 32448 32640 32786 32980 33280 33756 34476 34816 35360 36192 36569 37120 37248 37830 38454 39208 39440 39576 39936 40352 40560 40960 42195 42432 42874 43095 43264 43520 44544 45008 45240 45968 46560 47328 47821 48256 49010 49179 49470 49664 49920 50440 51272 52224 52768 53040 53248 54080 55680 56260 56576 57460 58812 59160 59392 60320 60528 61440 62080 63104 64090 64311 64896 65280 65572 65960 66560 67512 68952 69632 70720 72384 73138 73515 74240 74496 75660 76908 78416 78880 79152 79872 80704 81120 81965 83317 84390 84864 85748 86190 86528 87040 89088 90016 90480 91936 93120 94656 95642 96135 96512 98020 98358 98940 99328 99840 100880 102544 104448 105536 106080 106496 107185 108160 109707 111360 112520 113152 114920 117624 118320 118784 120640 121056 122880 124160 126208 128180 128622 129792 130560 131144 131920 133120 135024 137904 139264 141440 143463 144768 146276 147030 148480 148992 151320 153816 156832 157760 158304 159744 161408 162240 163930 166634 168780 169728 171496 172380 173056 174080 178176 180032 180960 182845 183872 186240 189312 191284 192270 193024 196040 196716 197880 198656 199680 201760 205088 208896 211072 212160 214370 216320 219414 222720 225040 226304 229840 235248 236640 237568 239105 241280 242112 245895 248320 249951 252416 256360 257244 259584 261120 262288 263840 266240 270048 275808 278681 282880 286926 289536 292552 294060 296960 297984 302640 307632 313664 315520 316608 319488 321555 322816 324480 327860 333268 337560 339456 342992 344760 346112 348160 356352 360064 361920 365690 367744 372480 378624 382568 384540 386048 392080 393432 395760 397312 399360 403520 410176 416585 417792 422144 424320 428740 432640 438828 445440 450080 452608 459680 470496 473280 475397 478210 482560 484224 491790 496640 499902 504832 512720 514488 519168 522240 524576 527680 532480 540096 548535 551616 557362 565760 573852 579072 585104 588120 593920 595968 605280 615264 621673 627328 631040 633216 643110 645632 648960 655720 666536 675120 678912 685984 689520 692224 696320 712704 717315 720128 723840 731380 735488 744960 757248 765136 769080 772096 784160 786864 791520 794624 798720 807040 820352 833170 836043 844288 848640 857480 865280 877656 890880 900160 905216 919360 940992 946560 950794 956420 965120 968448 983580 993280 999804 1009664 1025440 1028976 1038336 1044480 1049152 1055360 1080192 1097070 1103232 1114724 1131520 1147704 1158144 1170208 1176240 1187840 1191936 1210560 1230528 1243346 1249755 1254656 1262080 1266432 1286220 1291264 1297920 1311440 1333072 1350240 1357824 1371968 1379040 1384448 1393405 1426191 1434630 1440256 1447680 1462760 1470976 1489920 1514496 1530272 1538160 1544192 1568320 1573728 1583040 1597440 1614080 1640704 1666340 1672086 1688576 1697280 1714960 1730560 1755312 1781760 1800320 1810432 1838720 1865019 1881984 1893120 1901588 1912840 1930240 1936896 1967160 1986560 1999608 2019328 2050880 2057952 2076672 2088960 2098304 2110720 2160384 2194140 2206464 2229448 2263040 2295408 2316288 2340416 2352480 2376985 2383872 2421120 2461056 2486692 2499510 2509312 2524160 2532864 2572440 2582528 2595840 2622880 2666144 2700480 2715648 2743936 2758080 2786810 2852382 2869260 2880512 2895360 2925520 2941952 2979840 3028992 3060544 3076320 3088384 3108365 3136640 3147456 3166080 3228160 3281408 3332680 3344172 3377152 3394560 3429920 3461120 3510624 3563520 3600640 3677440 3730038 3763968 3786240 3803176 3825680 3860480 3873792 3934320 3973120 3999216 4038656 4101760 4115904 4153344 4180215 4196608 4221440 4320768 4388280 4412928 4458896 4526080 4590816 4632576 4680832 4704960 4753970 4842240 4922112 4973384 4999020 5018624 5048320 5065728 5144880 5165056 5191680 5245760 5332288 5400960 5431296 5487872 5516160 5573620 5704764 5738520 5761024 5790720 5851040 5883904 5959680 6057984 6121088 6152640 6216730 6273280 6294912 6332160 6456320 6562816 6665360 6688344 6754304 6789120 6859840 6922240 7021248 7130955 7201280 7354880 7460076 7527936 7572480 7606352 7651360 7720960 7747584 7868640 7998432 8081749 8203520 8231808 8360430 8393216 8442880 8641536 8776560 8825856 8917792 9052160 9181632 9265152 9325095 9361664 9409920 9507940 9684480 9844224 9946768 9998040 10037248 10096640 10131456 10289760 10330112 10383360 10491520 10664576 10801920 10975744 11032320 11147240 11409528 11477040 11522048 11581440 11702080 11767808 11919360 12115968 12242176 12305280 12433460 12546560 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44588960 45638112 45908160 46325760 46808320 48490494 48968704 49221120 49733840 50186240 50359296 50657280 51650560 52502528 53322880 53506752 54878720 56169984 57047640 57610240 58839040 59680608 60223488 60579840 60850816 61210880 62949120 63987456 64653992 65628160 65854464 66883440 67145728 67543040 69132288 70212480 70606848 71342336 73453056 74600760 74893312 75279360 76063520 77475840 78753792 79574144 79984320 80817490 82318080 83932160 85316608 86415360 87805952 88258560 89177920 91276224 91816320 93616640 96980988 97937408 98442240 99467680 100372480 100718592 101314560 106645760 107013504 109757440 112339968 114095280 115220480 117678080 119361216 120446976 121226235 121701632 122421760 125898240 127974912 129307984 131256320 131708928 133766880 134291456 140424960 142684672 146906112 149201520 149786624 150558720 152127040 154951680 157507584 159148288 159968640 161634980 164636160 167864320 170633216 172830720 175611904 176517120 178355840 182552448 183632640 187233280 193961976 195874816 196884480 198935360 200744960 201437184 202629120 213291520 214027008 219514880 224679936 228190560 238722432 242452470 243403264 244843520 251796480 255949824 258615968 262512640 263417856 267533760 280849920 285369344 293812224 298403040 299573248 301117440 304254080 318296576 319937280 323269960 329272320 335728640 341266432 345661440 353034240 356711680 365104896 367265280 374466560 387923952 391749632 393768960 397870720 402874368 426583040 428054016 439029760 449359872 456381120 477444864 484904940 486806528 489687040 503592960 511899648 517231936 526835712 535067520 561699840 570738688 587624448 596806080 602234880 608508160 636593152 639874560 646539920 658544640 671457280 682532864 713423360 730209792 734530560 748933120 775847904 787537920 795741440 853166080 856108032 878059520 898719744 912762240 954889728 969809880 973613056 979374080 1007185920 1023799296 1034463872 1070135040 1123399680 1141477376 1175248896 1193612160 1217016320 1273186304 1279749120 1293079840 1317089280 1426846720 1460419584 1469061120 1497866240 1551695808 1591482880 1706332160 1712216064 1825524480 1909779456 1939619760 1947226112 1958748160 2014371840 2047598592 2068927744 2140270080 2246799360 2282954752 2387224320 2434032640 2546372608 2559498240 2586159680 2634178560 2853693440 2920839168 2938122240 3103391616 3182965760 3412664320 3424432128 3651048960 3819558912 3879239520 3894452224 4137855488 4280540160 4493598720 4774448640 4868065280 5092745216 5118996480 5172319360 5707386880 5841678336 5876244480 6206783232 6365931520 6848864256 7302097920 7639117824 7758479040 8275710976 8561080320 9548897280 9736130560 10237992960 10344638720 11414773760 11683356672 12413566464 12731863040 14604195840 15278235648 15516958080 16551421952 17122160640 19097794560 19472261120 20689277440 24827132928 25463726080 29208391680 31033916160 33102843904 34244321280 38195589120 41378554880 49654265856 58416783360 62067832320 66205687808 76391178240 82757109760 99308531712 124135664640 165514219520 198617063424 248271329280 331028439040 496542658560 993085317120
• Sum of all divisors σ(n): 3807812877120
• Sum of proper divisors (its aliquot sum) s(n): 2814727560000
• 993085317120 is an abundant number, because the sum of its proper divisors (2814727560000) is greater than itself. Its abundance is 1821642242880

Bases of 993085317120

• Binary: 1110011100111000011111110110000000000000₂
• Hexadecimal: 0xE7387F6000
• Base-36: CO7TCUTC

Squares and roots of 993085317120

• 993085317120 squared (993085317120²) is 986218447079330965094400
• 993085317120 cubed (993085317120³) is 979399059267371329268207874736128000
• The square root of 993085317120 is 996536.6612021857
• The cube root of 993085317120 is 9976.8977266635

Scales and comparisons

• 993,085,317,120 seconds is equal to 31,577 years, 2 weeks, 1 day, 32 minutes.
• To count from 1 to 993,085,317,120 would take you about sixty-three thousand, one hundred fifty-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 993085317120 cubic inches would be around 831.4 feet tall.

Recreational maths with 993085317120

• 993085317120 backwards is 021713580399
• 993085317120 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 993085317120's digits is 48
• More coming soon!