990978061442657640
990,978,061,442,657,640 is an even composite number composed of seven prime numbers multiplied together.
990978061442657640 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 990978061442657640:
23 × 3 × 5 × 112 × 61 × 521 × 2147483647
(2 × 2 × 2 × 3 × 5 × 11 × 11 × 61 × 521 × 2147483647)See below for interesting mathematical facts about the number 990978061442657640 from the Numbermatics database.
Names of 990978061442657640
- Cardinal: 990978061442657640 can be written as Nine hundred ninety quadrillion, nine hundred seventy-eight trillion, sixty-one billion, four hundred forty-two million, six hundred fifty-seven thousand, six hundred forty.
Scientific notation
- Scientific notation: 9.9097806144265764 × 1017
Factors of 990978061442657640
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 2147484250
Divisors of 990978061442657640
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 121 122 132 165 183 220 242 244 264 305 330 363 366 440 484 488 521 605 610 660 671 726 732 915 968 1042 1210 1220 1320 1342 1452 1464 1563 1815 1830 2013 2084 2420 2440 2605 2684 2904 3126 3355 3630 3660 4026 4168 4840 5210 5368 5731 6252 6710 7260 7320 7381 7815 8052 10065 10420 11462 12504 13420 14520 14762 15630 16104 17193 20130 20840 22143 22924 26840 28655 29524 31260 31781 34386 36905 40260 44286 45848 57310 59048 62520 63041 63562 68772 73810 80520 85965 88572 95343 110715 114620 126082 127124 137544 147620 158905 171930 177144 189123 190686 221430 229240 252164 254248 295240 315205 317810 343860 349591 378246 381372 442860 476715 504328 630410 635620 687720 699182 756492 762744 885720 945615 953430 1048773 1260820 1271240 1398364 1512984 1747955 1891230 1906860 2097546 2521640 2796728 3495910 3782460 3813720 3845501 4195092 5243865 6991820 7564920 7691002 8390184 10487730 11536503 13983640 15382004 19227505 20975460 23073006 30764008 38455010 41950920 46146012 57682515 76910020 92292024 115365030 153820040 230730060 461460120 2147483647 4294967294 6442450941 8589934588 10737418235 12884901882 17179869176 21474836470 23622320117 25769803764 32212254705 42949672940 47244640234 51539607528 64424509410 70866960351 85899345880 94489280468 118111600585 128849018820 130996502467 141733920702 188978560936 236223201170 257698037640 259845521287 261993004934 283467841404 354334801755 392989507401 472446402340 519691042574 523986009868 566935682808 654982512335 708669603510 779536563861 785979014802 944892804680 1039382085148 1047972019736 1118838980087 1299227606435 1309965024670 1417339207020 1440961527137 1559073127722 1571958029604 1964947537005 2078764170296 2237677960174 2598455212870 2619930049340 2834678414040 2881923054274 3118146255444 3143916059208 3356516940261 3897682819305 3929895074010 4322884581411 4475355920348 5196910425740 5239860098680 5594194900435 5763846108548 6236292510888 6713033880522 7204807635685 7795365638610 7859790148020 8645769162822 8950711840696 10393820851480 11188389800870 11527692217096 12307228780957 13426067761044 14409615271370 15590731277220 15719580296040 15850576798507 16782584701305 17291538325644 21614422907055 22376779601740 24614457561914 26852135522088 28819230542740 31181462554440 31701153597014 33565169402610 34583076651288 36921686342871 43228845814110 44753559203480 47551730395521 49228915123828 57638461085480 61536143904785 63402307194028 67130338805220 68249177785307 73843372685742 79252883992535 86457691628220 95103460791042 98457830247656 123072287809570 126804614388056 134260677610440 135379516590527 136498355570614 147686745371484 158505767985070 172915383256440 184608431714355 190206921582084 204747533355921 237758651977605 246144575619140 270759033181054 272996711141228 295373490742968 317011535970140 341245888926535 369216863428710 380413843164168 406138549771581 409495066711842 475517303955210 492289151238280 541518066362108 545993422282456 634023071940280 676897582952635 682491777853070 738433726857420 750740955638377 812277099543162 818990133423684 951034607910420 1023737666779605 1083036132724216 1353795165905270 1364983555706140 1476867453714840 1501481911276754 1624554199086324 1637980266847368 1902069215820840 2030692748857905 2047475333559210 2252222866915131 2707590331810540 2729967111412280 3002963822553508 3249108398172648 3753704778191885 4061385497715810 4094950667118420 4504445733830262 5415180663621080 6005927645107016 7507409556383770 8122770995431620 8189901334236840 8258150512022147 9008891467660524 11261114334575655 15014819112767540 16245541990863240 16516301024044294 18017782935321048 22522228669151310 24774451536066441 30029638225535080 33032602048088588 41290752560110735 45044457338302620 49548903072132882 66065204096177176 82581505120221470 90088914676605240 99097806144265764 123872257680332205 165163010240442940 198195612288531528 247744515360664410 330326020480885880 495489030721328820 990978061442657640
- Sum of all divisors σ(n): 3327715578331791360
- Sum of proper divisors (its aliquot sum) s(n): 2336737516889133720
- 990978061442657640 is an abundant number, because the sum of its proper divisors (2336737516889133720) is greater than itself. Its abundance is 1345759455446476080
Bases of 990978061442657640
- Binary: 1101110000001010100101001011111001000111111010101101011010002
- Hexadecimal: 0xDC0A94BE47EAD68
- Base-36: 7J1KEKN3MWKO
Squares and roots of 990978061442657640
- 990978061442657640 squared (9909780614426576402) is 982037518260647740744017866250369600
- 990978061442657640 cubed (9909780614426576403) is 973177636109895200951252756235227399533569856263744000
-
The
square root of 990978061442657640 is 995478810.1424648807 -
The
cube root of 990978061442657640 is 996983.5976126201
Scales and comparisons
How big is 990978061442657640?- 990,978,061,442,657,640 seconds is equal to 31,510,037,057 years, 24 weeks, 3 days, 15 hours, 34 minutes.
-
To count from 1 to 990,978,061,442,657,640 would take you about ninety-four billion, five hundred thirty million, one hundred eleven thousand, one hundred seventy-two 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 990978061442657640 cubic inches would be around 83082 feet tall.
Recreational maths with 990978061442657640
- 990978061442657640 backwards is 046756244160879099
- The number of decimal digits it has is: 18
- The sum of 990978061442657640's digits is 87
- More coming soon!
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The information we have on file for 990978061442657640 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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