990090316800

Names of 990090316800

• Cardinal: 990090316800 can be written as Nine hundred ninety billion, ninety million, three hundred sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 9.900903168 × 10¹¹

Factors of 990090316800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 5503

Divisors of 990090316800

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 61 64 65 72 75 78 80 90 96 100 104 117 120 122 128 130 144 150 156 160 180 183 192 195 200 208 225 234 240 244 256 260 288 300 305 312 320 325 360 366 384 390 400 416 450 468 480 488 512 520 549 576 585 600 610 624 640 650 720 732 768 780 793 800 832 900 915 936 960 975 976 1024 1040 1098 1152 1170 1200 1220 1248 1280 1300 1440 1464 1525 1536 1560 1586 1600 1664 1800 1830 1872 1920 1950 1952 2080 2196 2304 2340 2379 2400 2440 2496 2560 2600 2745 2880 2925 2928 3050 3072 3120 3172 3200 3328 3600 3660 3744 3840 3900 3904 3965 4160 4392 4575 4608 4680 4758 4800 4880 4992 5120 5200 5419 5490 5760 5850 5856 6100 6240 6344 6400 6656 7137 7200 7320 7488 7680 7800 7808 7930 8320 8784 9150 9216 9360 9516 9600 9760 9984 10400 10838 10980 11520 11700 11712 11895 12200 12480 12688 12800 13312 13725 14274 14400 14640 14976 15360 15600 15616 15860 16257 16640 17568 18300 18720 19032 19200 19520 19825 19968 20800 21676 21960 23040 23400 23424 23790 24400 24960 25376 25600 27095 27450 28548 28800 29280 29952 31200 31232 31720 32514 33280 35136 35685 36600 37440 38064 38400 39040 39650 39936 41600 43352 43920 46080 46800 46848 47580 48771 48800 49920 50752 54190 54900 57096 57600 58560 59475 59904 62400 62464 63440 65028 66560 70272 70447 71370 73200 74880 76128 76800 78080 79300 81285 83200 86704 87840 93600 93696 95160 97542 97600 99840 101504 108380 109800 114192 115200 117120 118950 119808 124800 126880 130056 135475 140544 140894 142740 146400 149760 152256 156160 158600 162570 166400 173408 175680 178425 187200 187392 190320 195084 195200 199680 203008 211341 216760 219600 228384 230400 234240 237900 243855 249600 253760 260112 270950 281088 281788 285480 292800 299520 304512 312320 317200 325140 330559 332800 346816 351360 352235 356850 374400 380640 390168 390400 406016 406425 422682 433520 439200 456768 468480 475800 487710 499200 507520 520224 541900 562176 563576 570960 585600 599040 609024 634023 634400 650280 661118 693632 702720 704470 713700 748800 761280 780336 780800 812032 812850 845364 867040 878400 913536 936960 951600 975420 991677 998400 1015040 1040448 1056705 1083800 1127152 1141920 1171200 1218048 1219275 1268046 1268800 1300560 1322236 1387264 1405440 1408940 1427400 1497600 1522560 1560672 1561600 1625700 1652795 1690728 1734080 1756800 1761175 1827072 1903200 1950840 1983354 2030080 2080896 2113410 2167600 2254304 2283840 2342400 2436096 2438550 2536092 2537600 2601120 2644472 2774528 2810880 2817880 2854800 2975031 2995200 3045120 3121344 3170115 3251400 3305590 3381456 3468160 3513600 3522350 3654144 3806400 3901680 3966708 4060160 4161792 4226820 4297267 4335200 4508608 4567680 4684800 4877100 4958385 5072184 5075200 5202240 5283525 5288944 5549056 5635760 5709600 5950062 6090240 6242688 6340230 6502800 6611180 6762912 6936320 7027200 7044700 7308288 7612800 7803360 7933416 8263975 8323584 8453640 8594534 8670400 9017216 9135360 9754200 9916770 10144368 10150400 10404480 10567050 10577888 11271520 11419200 11900124 12180480 12485376 12680460 12891801 13005600 13222360 13525824 13872640 14054400 14089400 14875155 15225600 15606720 15850575 15866832 16527950 16647168 16907280 17189068 17340800 18034432 18270720 19508400 19833540 20288736 20300800 20808960 21134100 21155776 21486335 22543040 22838400 23800248 24791925 24970752 25360920 25783602 26011200 26444720 27051648 27745280 28178800 29750310 30451200 31213440 31701150 31733664 33055900 33814560 34378136 34681600 36068864 36541440 38675403 39016800 39667080 40577472 41617920 42268200 42311552 42972670 45086080 45676800 47600496 49583850 49941504 50721840 51567204 52022400 52889440 54103296 56357600 59500620 60902400 62426880 63402300 63467328 64459005 66111800 67629120 68756272 69363200 72137728 74375775 77350806 78033600 79334160 81154944 83235840 84536400 84623104 85945340 90172160 91353600 95200992 99167700 101443680 103134408 104044800 105778880 107431675 108206592 112715200 119001240 124853760 126804600 126934656 128918010 132223600 135258240 137512544 138726400 148751550 154701612 156067200 158668320 162309888 169072800 169246208 171890680 180344320 182707200 190401984 193377015 198335400 202887360 206268816 208089600 211557760 214863350 216413184 225430400 238002480 249707520 253609200 253869312 257836020 264447200 270516480 275025088 297503100 309403224 312134400 317336640 322295025 324619776 338145600 338492416 343781360 360688640 380803968 386754030 396670800 405774720 412537632 416179200 423115520 429726700 450860800 476004960 507218400 507738624 515672040 528894400 541032960 550050176 595006200 618806448 624268800 634673280 644590050 649239552 676291200 687562720 761607936 773508060 793341600 811549440 825075264 846231040 859453400 901721600 952009920 966885075 1014436800 1015477248 1031344080 1057788800 1082065920 1100100352 1190012400 1237612896 1248537600 1269346560 1289180100 1352582400 1375125440 1523215872 1547016120 1586683200 1623098880 1650150528 1692462080 1718906800 1803443200 1904019840 1933770150 2028873600 2062688160 2115577600 2200200704 2380024800 2475225792 2538693120 2578360200 2705164800 2750250880 3046431744 3094032240 3173366400 3246197760 3300301056 3437813600 3808039680 3867540300 4057747200 4125376320 4231155200 4400401408 4760049600 4950451584 5077386240 5156720400 5410329600 5500501760 6188064480 6346732800 6600602112 6875627200 7616079360 7735080600 8115494400 8250752640 8462310400 9520099200 9900903168 10313440800 11001003520 12376128960 12693465600 13201204224 13751254400 15232158720 15470161200 16230988800 16501505280 19040198400 19801806336 20626881600 22002007040 24752257920 25386931200 27502508800 30940322400 33003010560 38080396800 39603612672 41253763200 49504515840 55005017600 61880644800 66006021120 76160793600 82507526400 99009031680 110010035200 123761289600 165015052800 198018063360 247522579200 330030105600 495045158400 990090316800
• Sum of all divisors σ(n): 3880984430960
• Sum of proper divisors (its aliquot sum) s(n): 2890894114160
• 990090316800 is an abundant number, because the sum of its proper divisors (2890894114160) is greater than itself. Its abundance is 1900803797360

Bases of 990090316800

• Binary: 1110011010000101111110110100110000000000₂
• Hexadecimal: 0xE685FB4C00
• Base-36: CMUA7LS0

Squares and roots of 990090316800

• 990090316800 squared (990090316800²) is 980278835421124362240000
• 990090316800 cubed (990090316800³) is 970564582714436081222399557632000000
• The square root of 990090316800 is 995032.8219712149
• The cube root of 990090316800 is 9966.8580048251

Scales and comparisons

• 990,090,316,800 seconds is equal to 31,481 years, 42 weeks, 16 hours.
• To count from 1 to 990,090,316,800 would take you about sixty-two thousand, nine hundred sixty-three 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 990090316800 cubic inches would be around 830.6 feet tall.

Recreational maths with 990090316800

• 990090316800 backwards is 008613090099
• 990090316800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 990090316800's digits is 45
• More coming soon!