990168376635616480
990,168,376,635,616,480 is an even composite number composed of seven prime numbers multiplied together.
990168376635616480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 990168376635616480:
25 × 5 × 131 × 1093 × 2011 × 3851 × 5581
(2 × 2 × 2 × 2 × 2 × 5 × 131 × 1093 × 2011 × 3851 × 5581)See below for interesting mathematical facts about the number 990168376635616480 from the Numbermatics database.
Names of 990168376635616480
- Cardinal: 990168376635616480 can be written as Nine hundred ninety quadrillion, one hundred sixty-eight trillion, three hundred seventy-six billion, six hundred thirty-five million, six hundred sixteen thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.9016837663561648 × 1017
Factors of 990168376635616480
Divisors of 990168376635616480
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1093 1310 2011 2096 2186 2620 3851 4022 4192 4372 5240 5465 5581 7702 8044 8744 10055 10480 10930 11162 15404 16088 17488 19255 20110 20960 21860 22324 27905 30808 32176 34976 38510 40220 43720 44648 55810 61616 64352 77020 80440 87440 89296 111620 123232 143183 154040 160880 174880 178592 223240 263441 286366 308080 321760 446480 504481 526882 572732 616160 715915 731111 892960 1008962 1053764 1145464 1317205 1431830 1462222 2017924 2107528 2198023 2290928 2522405 2634410 2863660 2924444 3655555 4035848 4209143 4215056 4396046 4581856 5044810 5268820 5727320 5848888 6100033 7311110 7744361 8071696 8418286 8430112 8792092 10089620 10537640 10990115 11223391 11454640 11697776 12200066 14622220 15488722 16143392 16836572 17584184 20179240 21045715 21075280 21492431 21980230 22446782 22909280 23395552 24400132 29244440 30500165 30977444 33673144 35168368 38721805 40358480 42091430 42150560 42984862 43960460 44893564 48800264 56116955 58488880 61000330 61954888 67346288 70336736 77443610 80716960 84182860 85969724 87920920 89787128 97600528 107462155 112233910 116977760 122000660 123909776 134692576 154887220 168365720 171939448 175841840 179574256 195201056 214924310 224467820 244001320 247819552 287941013 309774440 336731440 343878896 351683680 359148512 429848620 448935640 488002640 551397733 575882026 619548880 673462880 687757792 799104323 859697240 897871280 976005280 1014511291 1102795466 1151764052 1239097760 1439705065 1470264221 1598208646 1719394480 1795742560 2029022582 2205590932 2303528104 2756988665 2815508461 2879410130 2940528442 3196417292 3438788960 3995521615 4058045164 4411181864 4607056208 5072556455 5513977330 5631016922 5758820260 5881056884 6392834584 7351321105 7991043230 8116090328 8464586573 8822363728 9214112416 10145112910 11027954660 11262033844 11517640520 11762113768 12267166363 12785669168 14077542305 14702642210 15982086460 16232180656 16929173146 17644727456 20290225820 22055909320 22524067688 23035281040 23491227083 23524227536 24534332726 25571338336 28155084610 29405284420 31964172920 32464361312 33858346292 40580451640 42322932865 43221278741 44111818640 45048135376 46070562080 46982454166 47048455072 49068665452 56310169220 58810568840 61335831815 63928345840 67716692584 81160903280 84645865730 86442557482 88223637280 90096270752 93964908332 98137330904 112620338440 117456135415 117621137680 122671663630 127856691680 135433385168 162321806560 169291731460 172885114964 187929816664 196274661808 216106393705 225240676880 234912270830 235242275360 245343327260 270866770336 338583462920 345770229928 375859633328 392549323616 432212787410 450481353760 469824541660 490686654520 677166925840 691540459856 751719266656 864425574820 939649083320 981373309040 1108860841063 1354333851680 1383080919712 1606998793553 1728851149640 1879298166640 1962746618080 2217721682126 3077350747873 3213997587106 3457702299280 3758596333280 4435443364252 5544304205315 5661987515071 6154701495746 6427995174212 6915404598560 8034993967765 8870886728504 11088608410630 11323975030142 12309402991492 12855990348424 15386753739365 16069987935530 17741773457008 22177216821260 22647950060284 24618805982984 25711980696848 28309937575355 30773507478730 32139975871060 35483546914016 44354433642520 45295900120568 47240857663913 49237611965968 51423961393696 56619875150710 61547014957460 64279951742120 88708867285040 90591800241136 94481715327826 98475223931936 113239750301420 123094029914920 128559903484240 177417734570080 181183600482272 188963430655652 226479500602840 236204288319565 246188059829840 257119806968480 377926861311304 452959001205680 472408576639130 492376119659680 755853722622608 905918002411360 944817153278260 1511707445245216 1889634306556520 3779268613113040 6188552353972603 7558537226226080 12377104707945206 24754209415890412 30942761769863015 49508418831780824 61885523539726030 99016837663561648 123771047079452060 198033675327123296 247542094158904120 495084188317808240 990168376635616480
- Sum of all divisors σ(n): 2361495596219730432
- Sum of proper divisors (its aliquot sum) s(n): 1371327219584113952
- 990168376635616480 is an abundant number, because the sum of its proper divisors (1371327219584113952) is greater than itself. Its abundance is 381158842948497472
Bases of 990168376635616480
- Binary: 1101101111011100100011100100011101010011000011101100111000002
- Hexadecimal: 0xDBDC8E47530ECE0
- Base-36: 7ITLE8KQYS4G
Squares and roots of 990168376635616480
- 990168376635616480 squared (9901683766356164802) is 980433414089212051924881269647590400
- 990168376635616480 cubed (9901683766356164803) is 970794162028030252111854731177842935712522650529792000
-
The
square root of 990168376635616480 is 995072045.9522599211 -
The
cube root of 990168376635616480 is 996711.9930711777
Scales and comparisons
How big is 990168376635616480?- 990,168,376,635,616,480 seconds is equal to 31,484,291,585 years, 6 weeks, 4 days, 7 hours, 14 minutes, 40 seconds.
-
To count from 1 to 990,168,376,635,616,480 would take you about ninety-four billion, four hundred fifty-two million, eight hundred seventy-four thousand, seven hundred fifty-five 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 990168376635616480 cubic inches would be around 83059.3 feet tall.
Recreational maths with 990168376635616480
- 990168376635616480 backwards is 084616536673861099
- The number of decimal digits it has is: 18
- The sum of 990168376635616480's digits is 88
- More coming soon!
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