990647945168992
990,647,945,168,992 is an even composite number composed of seven prime numbers multiplied together.
What does the number 990647945168992 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
990647945168992 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 990647945168992:
25 × 11 × 31 × 61 × 181 × 421 × 19531
(2 × 2 × 2 × 2 × 2 × 11 × 31 × 61 × 181 × 421 × 19531)See below for interesting mathematical facts about the number 990647945168992 from the Numbermatics database.
Names of 990647945168992
- Cardinal: 990647945168992 can be written as Nine hundred ninety trillion, six hundred forty-seven billion, nine hundred forty-five million, one hundred sixty-eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 9.90647945168992 × 1014
Factors of 990647945168992
Divisors of 990647945168992
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 8 11 16 22 31 32 44 61 62 88 122 124 176 181 244 248 341 352 362 421 488 496 671 682 724 842 976 992 1342 1364 1448 1684 1891 1952 1991 2684 2728 2896 3368 3782 3982 4631 5368 5456 5611 5792 6736 7564 7964 9262 10736 10912 11041 11222 13051 13472 15128 15928 18524 19531 20801 21472 22082 22444 25681 26102 30256 31856 37048 39062 41602 44164 44888 51362 52204 60512 61721 63712 74096 76201 78124 83204 88328 89776 102724 104408 121451 123442 143561 148192 152402 156248 166408 176656 179552 205448 208816 214841 242902 246884 282491 287122 304804 312496 332816 342271 353312 410896 417632 429682 485804 493768 564982 574244 605461 609608 624992 665632 684542 796111 821792 838211 859364 971608 987536 1129964 1148488 1191391 1210922 1219216 1369084 1592222 1676422 1718728 1943216 1975072 2259928 2296976 2362231 2382782 2421844 2438432 2738168 3184444 3352844 3437456 3535111 3764981 3886432 4519856 4593952 4648261 4724462 4765564 4843688 5476336 6368888 6660071 6705688 6874912 7070222 7529962 8222551 8757221 9039712 9296522 9448924 9531128 9687376 10952672 12737776 13105301 13320142 13411376 14140444 15059924 16445102 17514442 18593044 18897848 19062256 19374752 25475552 25984541 26210602 26640284 26822752 28280888 30119848 32890204 35028884 36933121 37186088 37795696 38124512 38886221 51130871 51969082 52421204 53280568 56561776 60239696 65780408 70057768 73866242 74372176 75591392 77772442 90448061 102261742 103938164 104842408 106561136 109588441 113123552 120479392 131560816 140115536 144096091 147732484 148744352 155544884 180896122 204523484 207876328 209684816 213122272 215641771 219176882 254899081 263121632 280231072 288192182 295464968 311089768 361792244 406264331 409046968 415752656 419369632 431283542 438353764 501575611 509798162 576384364 590929936 622179536 723584488 812528662 818093936 831505312 862567084 876707528 1003151222 1019596324 1152768728 1181859872 1205472851 1244359072 1447168976 1488281731 1585057001 1625057324 1636187872 1725134168 1753415056 2006302444 2039192648 2305537456 2372059481 2410945702 2803889891 2894337952 2976563462 3170114002 3250114648 3450268336 3506830112 4012604888 4078385296 4611074912 4744118962 4821891404 5517331721 5607779782 5953126924 6340228004 6500229296 6684894901 6900536672 8025209776 8156770592 9488237924 9643782808 11034663442 11215559564 11906253848 12680456008 13000458592 13369789802 15548843941 16050419552 16371099041 18976475848 19287565616 22069326884 22431119128 23812507696 25360912016 26739579604 31097687882 32742198082 37952951696 38575131232 44138653768 44862238256 46136733661 47625015392 50721824032 53479159208 62195375764 65484396164 73533843911 75905903392 88277307536 89724476512 90785185591 92273467322 106958318416 124390751528 130968792328 147067687822 171037283351 176554615072 181570371182 184546934644 213916636832 248781503056 261937584656 294135375644 342074566702 363140742364 369093869288 497563006112 507504070271 523875169312 588270751288 684149133404 726281484728 738187738576 998637041501 1015008140542 1176541502576 1368298266808 1452562969456 1476375477152 1997274083002 2030016281084 2353083005152 2736596533616 2814340753321 2905125938912 3994548166004 4060032562168 5473193067232 5628681506642 7989096332008 8120065124336 11257363013284 15978192664016 16240130248672 22514726026568 30957748286531 31956385328032 45029452053136 61915496573062 90058904106272 123830993146124 247661986292248 495323972584496 990647945168992
- Sum of all divisors σ(n): 2250059578970112
- Sum of proper divisors (its aliquot sum) s(n): 1259411633801120
- 990647945168992 is an abundant number, because the sum of its proper divisors (1259411633801120) is greater than itself. Its abundance is 268763688632128
Bases of 990647945168992
- Binary: 111000010011111101001100101101111010001000011000002
- Hexadecimal: 0x384FD32DE8860
- Base-36: 9R5LDSS50G
Squares and roots of 990647945168992
- 990647945168992 squared (9906479451689922) is 981383351267546180071438296064
- 990647945168992 cubed (9906479451689923) is 972205400356253703777775465252735689008447488
-
The
square root of 990647945168992 is 31474560.2855543003 -
The
cube root of 990647945168992 is 99687.2879701549
Scales and comparisons
How big is 990647945168992?- 990,647,945,168,992 seconds is equal to 31,499,540 years, 19 weeks, 5 days, 17 hours, 9 minutes, 52 seconds.
-
To count from 1 to 990,647,945,168,992 would take you about seventy-eight million, seven hundred forty-eight thousand, eight hundred fifty 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 990647945168992 cubic inches would be around 8307.3 feet tall.
Recreational maths with 990647945168992
- 990647945168992 backwards is 299861549746099
- 990647945168992 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 990647945168992's digits is 88
- More coming soon!
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