990400456840564
990,400,456,840,564 is an even composite number composed of six prime numbers multiplied together.
990400456840564 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 990400456840564:
22 × 73 × 113 × 131 × 271 × 15277
(2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 131 × 271 × 15277)See below for interesting mathematical facts about the number 990400456840564 from the Numbermatics database.
Names of 990400456840564
- Cardinal: 990400456840564 can be written as Nine hundred ninety trillion, four hundred billion, four hundred fifty-six million, eight hundred forty thousand, five hundred sixty-four.
Scientific notation
- Scientific notation: 9.90400456840564 × 1014
Factors of 990400456840564
Divisors of 990400456840564
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 7 11 14 22 28 44 49 77 98 121 131 154 196 242 262 271 308 343 484 524 539 542 686 847 917 1078 1084 1331 1372 1441 1694 1834 1897 2156 2662 2882 2981 3388 3668 3773 3794 5324 5764 5929 5962 6419 7546 7588 9317 10087 11858 11924 12838 13279 15092 15277 15851 18634 20174 20867 23716 25676 26558 30554 31702 32791 35501 37268 40348 41503 41734 44933 53116 61108 63404 65219 65582 70609 71002 83006 83468 89866 92953 106939 110957 130438 131164 141218 142004 146069 166012 168047 174361 179732 185906 213878 221914 229537 248507 260876 282436 292138 336094 348722 360701 371812 390511 427756 443828 456533 459074 494263 497014 584276 672188 697444 721402 748573 776699 781022 913066 918148 988526 994028 1022483 1176329 1220527 1442804 1497146 1553398 1562044 1606759 1739549 1826132 1848517 1977052 2001287 2044966 2352658 2441054 2524907 2733577 2994292 3106796 3213518 3479098 3697034 4002574 4089932 4140067 4295621 4705316 4882108 5049814 5240011 5436893 5467154 6427036 6958196 7394068 8005148 8234303 8280134 8543689 8591242 10099628 10480022 10873786 10934308 11247313 12176843 12939619 14009009 16468606 16560268 17087378 17182484 17674349 19135039 20333687 20960044 21747572 22014157 22494626 24353686 25879238 28018018 28980469 30069347 32937212 34174756 35348698 38270078 40667374 44028314 44989252 45540737 47251831 48707372 51758476 56036036 57640121 57960938 59805823 60138694 70697396 76540156 81334748 88056628 90577333 91081474 94503662 98063063 115280242 115921876 119611646 120277388 123720443 133945273 142335809 154099099 181154666 182162948 189007324 196126126 202863283 210485429 230560484 239223292 242155727 247440886 267890546 284671618 308198198 318785159 330762817 362309332 392252252 405726566 420970858 484311454 494881772 500948107 535781092 542348777 569343236 616396396 634041331 637570318 661525634 686441441 811453132 841941716 968622908 996350663 1001896214 1078693693 1084697554 1268082662 1275140636 1323051268 1372882882 1420042981 1473398003 1695090089 1992701326 2003792428 2157387386 2169395108 2231496113 2315339719 2536165324 2663712997 2745765764 2840085962 2946796006 3390180178 3506636749 3796441439 3985402652 4314774772 4462992226 4630679438 5327425994 5510429177 5680171924 5893592012 5965836547 6780360356 6974454641 7013273498 7550855851 7592882878 8925984452 9261358876 10654851988 11020858354 11865630623 11931673094 13948909282 14026546996 15101711702 15185765756 15620472791 16207378033 18645990979 22041716708 23731261246 23863346188 24546457243 26575090073 27897818564 30203423404 31240945582 32414756066 37291981958 38573004239 41760855829 47462522492 49092914486 53150180146 62481891164 64829512132 65624202017 74583963916 77146008478 83059414361 83521711658 98185828972 106300360292 130521936853 131248404034 154292016956 166118828722 167043423316 171825200701 186025630511 261043873706 262496808068 270011029673 292325990803 332237657444 343650401402 372051261022 459369414119 522087747412 540022059346 584651981606 687300802804 721866222187 744102522044 913653557971 918738828238 1080044118692 1169303963212 1443732444374 1827307115942 1837477656476 1890077207711 2046281935621 2887464888748 3215585898833 3654614231884 3780154415422 4092563871242 5053063555309 6431171797666 7560308830844 8185127742484 10106127110618 12862343595332 20212254221236 22509101291831 35371444887163 45018202583662 70742889774326 90036405167324 141485779548652 247600114210141 495200228420282 990400456840564
- Sum of all divisors σ(n): 2248580546150400
- Sum of proper divisors (its aliquot sum) s(n): 1258180089309836
- 990400456840564 is an abundant number, because the sum of its proper divisors (1258180089309836) is greater than itself. Its abundance is 267779632469272
Bases of 990400456840564
- Binary: 111000010011000011100100110110101001010101011101002
- Hexadecimal: 0x384C3936A5574
- Base-36: 9R2FOSMCMS
Squares and roots of 990400456840564
- 990400456840564 squared (9904004568405642) is 980893064909997874500915838096
- 990400456840564 cubed (9904004568405643) is 971476939598602892077745271849888392309326144
-
The
square root of 990400456840564 is 31470628.4786396345 -
The
cube root of 990400456840564 is 99678.9858297283
Scales and comparisons
How big is 990400456840564?- 990,400,456,840,564 seconds is equal to 31,491,671 years, 6 days, 11 hours, 16 minutes, 4 seconds.
-
To count from 1 to 990,400,456,840,564 would take you about seventy-eight million, seven hundred twenty-nine thousand, one hundred seventy-seven 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 990400456840564 cubic inches would be around 8306.6 feet tall.
Recreational maths with 990400456840564
- 990400456840564 backwards is 465048654004099
- The number of decimal digits it has is: 15
- The sum of 990400456840564's digits is 64
- More coming soon!
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