993980123136

Names of 993980123136

• Cardinal: 993980123136 can be written as Nine hundred ninety-three billion, nine hundred eighty million, one hundred twenty-three thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 9.93980123136 × 10¹¹

Factors of 993980123136

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 3222

Divisors of 993980123136

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 17 18 21 22 24 26 28 32 33 34 36 39 42 44 48 51 52 56 63 64 66 68 72 77 78 84 88 91 96 99 102 104 112 117 119 126 128 132 136 143 144 153 154 156 168 176 182 187 192 198 204 208 221 224 231 234 238 252 256 264 272 273 286 288 306 308 312 336 352 357 364 374 384 396 408 416 429 442 448 462 468 476 504 512 528 544 546 561 572 576 612 616 624 663 672 693 704 714 728 748 768 792 816 819 832 858 884 896 924 936 952 1001 1008 1024 1056 1071 1088 1092 1122 1144 1152 1224 1232 1248 1287 1309 1326 1344 1386 1408 1428 1456 1496 1536 1547 1584 1632 1638 1664 1683 1716 1768 1792 1848 1872 1904 1989 2002 2016 2048 2112 2142 2176 2184 2244 2288 2304 2431 2448 2464 2496 2574 2618 2652 2688 2772 2816 2856 2912 2992 3003 3072 3094 3168 3169 3264 3276 3328 3366 3432 3536 3584 3696 3744 3808 3927 3978 4004 4032 4224 4284 4352 4368 4488 4576 4608 4641 4862 4896 4928 4992 5148 5236 5304 5376 5544 5632 5712 5824 5984 6006 6144 6188 6336 6338 6528 6552 6656 6732 6864 7072 7168 7293 7392 7488 7616 7854 7956 8008 8064 8448 8568 8704 8736 8976 9009 9152 9216 9282 9507 9724 9792 9856 9984 10296 10472 10608 10752 11088 11264 11424 11648 11781 11968 12012 12376 12672 12676 13056 13104 13312 13464 13728 13923 14144 14336 14586 14784 14976 15232 15708 15912 16016 16128 16896 17017 17136 17408 17472 17952 18018 18304 18432 18564 19014 19448 19584 19712 19968 20592 20944 21216 21504 21879 22176 22183 22528 22848 23296 23562 23936 24024 24752 25344 25352 26112 26208 26624 26928 27456 27846 28288 28521 29172 29568 29952 30464 31416 31824 32032 32256 33792 34034 34272 34816 34859 34944 35904 36036 36608 37128 38028 38896 39168 39424 39936 41184 41197 41888 42432 43008 43758 44352 44366 45696 46592 47124 47872 48048 49504 50688 50704 51051 52224 52416 53856 53873 54912 55692 56576 57042 58344 59136 59904 60928 62832 63648 64064 64512 66549 67584 68068 68544 69718 69888 71808 72072 73216 74256 76056 77792 78336 78848 79872 82368 82394 83776 84864 87516 88704 88732 91392 93184 94248 95744 96096 99008 101376 101408 102102 104448 104577 104832 107712 107746 109824 111384 113152 114084 116688 118272 119808 121856 123591 125664 127296 128128 129024 133098 136136 137088 139436 139776 143616 144144 146432 148512 152112 153153 155584 156672 157696 161619 164736 164788 167552 169728 175032 177408 177464 182784 186368 188496 191488 192192 198016 199647 202752 202816 204204 209154 209664 215424 215492 219648 222768 226304 228168 233376 236544 239616 243712 244013 247182 251328 254592 256256 266196 272272 274176 278872 279552 287232 288288 288379 292864 297024 304224 306306 311168 313344 313731 323238 329472 329576 335104 339456 350064 354816 354928 365568 370773 376992 377111 382976 384384 396032 399294 405632 408408 418308 419328 430848 430984 439296 445536 452608 453167 456336 466752 473088 484857 488026 494364 502656 509184 512512 532392 544544 548352 557744 559104 574464 576576 576758 592603 594048 608448 612612 622336 627462 646476 658944 659152 670208 678912 700128 700349 709632 709856 731136 732039 741546 753984 754222 768768 792064 798588 811264 816816 836616 838656 861696 861968 865137 878592 891072 906334 912672 933504 969714 976052 988728 1005312 1018368 1025024 1064784 1089088 1096704 1115488 1131333 1148928 1153152 1153516 1185206 1188096 1216896 1225224 1244672 1254924 1292952 1317888 1318304 1340416 1357824 1359501 1400256 1400698 1419264 1419712 1464078 1483092 1507968 1508444 1537536 1584128 1597176 1622528 1633632 1673232 1677312 1723392 1723936 1730274 1777809 1782144 1812668 1825344 1867008 1939428 1952104 1977456 2010624 2036736 2050048 2101047 2129568 2178176 2193408 2196117 2230976 2262666 2306304 2307032 2370412 2376192 2433792 2450448 2489344 2509848 2585904 2595411 2635776 2636608 2680832 2719002 2800512 2801396 2839424 2928156 2966184 3015936 3016888 3075072 3168256 3172169 3194352 3245056 3267264 3346464 3393999 3446784 3447872 3460548 3555618 3564288 3625336 3650688 3734016 3878856 3904208 3954912 4021248 4073472 4078503 4148221 4202094 4259136 4356352 4392234 4461952 4525332 4612608 4614064 4740824 4752384 4867584 4900896 4902443 4978688 5019696 5171808 5190822 5273216 5333427 5438004 5601024 5602792 5678848 5856312 5932368 6031872 6033776 6150144 6303141 6344338 6388704 6490112 6534528 6692928 6787998 6895744 6921096 7111236 7128576 7250672 7301376 7468032 7703839 7757712 7808416 7909824 8042496 8157006 8296442 8404188 8518272 8712704 8784468 8923904 9050664 9225216 9228128 9481648 9504768 9516507 9735168 9801792 9804886 10039392 10343616 10381644 10546432 10666854 10876008 11202048 11205584 11357696 11712624 11864736 12063744 12067552 12444663 12606282 12688676 12777408 13069056 13385856 13575996 13791488 13842192 14222472 14257152 14501344 14602752 14707329 14936064 15407678 15515424 15616832 15819648 16314012 16592884 16808376 17036544 17425408 17568936 17847808 18101328 18450432 18456256 18963296 19033014 19470336 19603584 19609772 20078784 20687232 20763288 21092864 21333708 21752016 22404096 22411168 22715392 23111517 23425248 23729472 24127488 24135104 24889326 25212564 25377352 25554816 26138112 26771712 27151992 27582976 27684384 28444944 28514304 28549521 29002688 29205504 29414658 30815356 31030848 31233664 31639296 32628024 33185768 33616752 34073088 34850816 35137872 35695616 36202656 36912512 37333989 37926592 38066028 39207168 39219544 40157568 41374464 41526576 42185728 42667416 43504032 44121987 44808192 44822336 45430784 46223034 46850496 47458944 48270208 49778652 50425128 50754704 51109632 52276224 53543424 53926873 54303984 55165952 55368768 56889888 57099042 58005376 58411008 58829316 61630712 62061696 62467328 63278592 65256048 66371536 67233504 68146176 69334551 70275744 71391232 72405312 73825024 74667978 75853184 76132056 78414336 78439088 80315136 82748928 83053152 84371456 85334832 87008064 88243974 89644672 92446068 93700992 94917888 96540416 99557304 100850256 101509408 102219264 104552448 107086848 107853746 108607968 110331904 110737536 113779776 114198084 116010752 117658632 123261424 124123392 124934656 126557184 130512096 132743072 134467008 136292352 138669102 140551488 144810624 147650048 149335956 151706368 152264112 156828672 156878176 160630272 161780619 165497856 166106304 170669664 174016128 176487948 179289344 184892136 187401984 189835776 193080832 199114608 201700512 203018816 204438528 214173696 215707492 217215936 221475072 227559552 228396168 232021504 235317264 246522848 248246784 249869312 253114368 261024192 265486144 268934016 277338204 281102976 289621248 295300096 298671912 303412736 304528224 313657344 313756352 321260544 323561238 330995712 332212608 341339328 348032256 352975896 358578688 369784272 374803968 379671552 386161664 398229216 403401024 406037632 408877056 431414984 434431872 442950144 455119104 456792336 464043008 470634528 485341857 493045696 496493568 499738624 522048384 530972288 537868032 554676408 562205952 579242496 590600192 597343824 606825472 609056448 627512704 642521088 647122476 664425216 682678656 696064512 705951792 717157376 739568544 749607936 759343104 772323328 796458432 806802048 812075264 862829968 868863744 885900288 910238208 913584672 928086016 941269056 970683714 986091392 992987136 1044096768 1061944576 1075736064 1109352816 1124411904 1158484992 1194687648 1213650944 1218112896 1255025408 1294244952 1328850432 1365357312 1392129024 1411903584 1434314752 1479137088 1499215872 1592916864 1613604096 1624150528 1725659936 1737727488 1771800576 1820476416 1827169344 1882538112 1941367428 1972182784 2088193536 2123889152 2151472128 2218705632 2248823808 2316969984 2389375296 2436225792 2510050816 2588489904 2657700864 2730714624 2784258048 2823807168 2958274176 3185833728 3227208192 3248301056 3451319872 3475454976 3640952832 3654338688 3765076224 3882734856 3944365568 4176387072 4247778304 4302944256 4437411264 4497647616 4778750592 4872451584 5020101632 5176979808 5315401728 5461429248 5647614336 5916548352 6371667456 6454416384 6496602112 6902639744 6950909952 7308677376 7530152448 7765469712 7888731136 8352774144 8495556608 8874822528 9557501184 9744903168 10040203264 10353959616 10922858496 11295228672 11833096704 12743334912 12908832768 13805279488 14617354752 15060304896 15530939424 15777462272 17749645056 19115002368 19489806336 20707919232 22590457344 23666193408 25486669824 27610558976 29234709504 30120609792 31061878848 35499290112 38230004736 41415838464 45180914688 47332386816 55221117952 58469419008 62123757696 70998580224 76460009472 82831676928 90361829376 110442235904 124247515392 141997160448 165663353856 248495030784 331326707712 496990061568 993980123136
• Sum of all divisors σ(n): 4082519750400
• Sum of proper divisors (its aliquot sum) s(n): 3088539627264
• 993980123136 is an abundant number, because the sum of its proper divisors (3088539627264) is greater than itself. Its abundance is 2094559504128

Bases of 993980123136

• Binary: 1110011101101101110101010000100000000000₂
• Hexadecimal: 0xE76DD50800
• Base-36: COMM3NK0

Squares and roots of 993980123136

• 993980123136 squared (993980123136²) is 987996485189457722474496
• 993980123136 cubed (993980123136³) is 982048868006552387274265648699539456
• The square root of 993980123136 is 996985.5180171875
• The cube root of 993980123136 is 9979.8933431171

Scales and comparisons

• 993,980,123,136 seconds is equal to 31,605 years, 25 weeks, 4 days, 13 hours, 45 minutes, 36 seconds.
• To count from 1 to 993,980,123,136 would take you about sixty-three thousand, two hundred ten 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 993980123136 cubic inches would be around 831.7 feet tall.

Recreational maths with 993980123136

• 993980123136 backwards is 631321089399
• The number of decimal digits it has is: 12
• The sum of 993980123136's digits is 54
• More coming soon!