107102406931477920
107,102,406,931,477,920 is an even composite number composed of six prime numbers multiplied together.
107102406931477920 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 107102406931477920:
25 × 33 × 5 × 31 × 47 × 17015939483
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 31 × 47 × 17015939483)See below for interesting mathematical facts about the number 107102406931477920 from the Numbermatics database.
Names of 107102406931477920
- Cardinal: 107102406931477920 can be written as One hundred seven quadrillion, one hundred two trillion, four hundred six billion, nine hundred thirty-one million, four hundred seventy-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.0710240693147792 × 1017
Factors of 107102406931477920
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 17015939571
Divisors of 107102406931477920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 47 48 54 60 62 72 80 90 93 94 96 108 120 124 135 141 144 155 160 180 186 188 216 235 240 248 270 279 282 288 310 360 372 376 423 432 465 470 480 496 540 558 564 620 705 720 744 752 837 846 864 930 940 992 1080 1116 1128 1240 1269 1395 1410 1440 1457 1488 1504 1674 1692 1860 1880 2115 2160 2232 2256 2480 2538 2790 2820 2914 2976 3348 3384 3720 3760 4185 4230 4320 4371 4464 4512 4960 5076 5580 5640 5828 6345 6696 6768 7285 7440 7520 8370 8460 8742 8928 10152 11160 11280 11656 12690 13113 13392 13536 14570 14880 16740 16920 17484 20304 21855 22320 22560 23312 25380 26226 26784 29140 33480 33840 34968 39339 40608 43710 44640 46624 50760 52452 58280 65565 66960 67680 69936 78678 87420 101520 104904 116560 131130 133920 139872 157356 174840 196695 203040 209808 233120 262260 314712 349680 393390 419616 524520 629424 699360 786780 1049040 1258848 1573560 2098080 3147120 6294240 17015939483 34031878966 51047818449 68063757932 85079697415 102095636898 136127515864 153143455347 170159394830 204191273796 255239092245 272255031728 306286910694 340318789660 408382547592 459430366041 510478184490 527494123973 544510063456 612573821388 680637579320 765717276735 799749155701 816765095184 918860732082 1020956368980 1054988247946 1225147642776 1361275158640 1531434553470 1582482371919 1599498311402 1633530190368 1837721464164 2041912737960 2109976495892 2297151830205 2399247467103 2450295285552 2637470619865 2722550317280 3062869106940 3164964743838 3198996622804 3675442928328 3998745778505 4083825475920 4219952991784 4594303660410 4747447115757 4798494934206 4900590571104 5274941239730 6125738213880 6329929487676 6397993245608 7197742401309 7350885856656 7912411859595 7997491557010 8167650951840 8439905983568 9188607320820 9494894231514 9596989868412 10549882479460 11996237335515 12251476427760 12659858975352 12795986491216 14242341347271 14395484802618 14701771713312 15824823719190 15994983114020 16879811967136 18377214641640 18989788463028 19193979736824 21099764958920 21593227203927 23737235578785 23992474671030 24502952855520 24792223826731 25319717950704 25591972982432 28484682694542 28790969605236 31649647438380 31989966228040 35988712006545 36754429283280 37979576926056 38387959473648 42199529917840 43186454407854 47474471157570 47984949342060 49584447653462 50639435901408 56969365389084 57581939210472 63299294876760 63979932456080 71211706736355 71977424013090 73508858566560 74376671480193 75959153852112 76775918947296 84399059835680 86372908815708 94948942315140 95969898684120 99168895306924 107966136019635 113938730778168 115163878420944 123961119133655 126598589753520 127959864912160 142423413472710 143954848026180 148753342960386 151918307704224 172745817631416 189897884630280 191939797368240 198337790613848 215932272039270 223130014440579 227877461556336 230327756841888 247922238267310 253197179507040 284846826945420 287909696052360 297506685920772 345491635262832 371883357400965 379795769260560 383879594736480 396675581227696 431864544078540 446260028881158 455754923112672 495844476534620 569693653890840 575819392104720 595013371841544 669390043321737 690983270525664 743766714801930 759591538521120 793351162455392 863729088157080 892520057762316 991688953069240 1115650072202895 1139387307781680 1151638784209440 1190026743683088 1338780086643474 1487533429603860 1727458176314160 1785040115524632 1983377906138480 2231300144405790 2278774615563360 2380053487366176 2677560173286948 2975066859207720 3346950216608685 3454916352628320 3570080231049264 3966755812276960 4462600288811580 5355120346573896 5950133718415440 6693900433217370 7140160462098528 8925200577623160 10710240693147792 11900267436830880 13387800866434740 17850401155246320 21420481386295584 26775601732869480 35700802310492640 53551203465738960 107102406931477920
- Sum of all divisors σ(n): 395183623677050880
- Sum of proper divisors (its aliquot sum) s(n): 288081216745572960
- 107102406931477920 is an abundant number, because the sum of its proper divisors (288081216745572960) is greater than itself. Its abundance is 180978809814095040
Bases of 107102406931477920
- Binary: 1011111001000000100010010010101111011110101110101101000002
- Hexadecimal: 0x17C811257BD75A0
- Base-36: TAKMUI0SVC0
Squares and roots of 107102406931477920
- 107102406931477920 squared (1071024069314779202) is 11470925570515889603402155447526400
- 107102406931477920 cubed (1071024069314779203) is 1228563738334088328653710808742748868296960217088000
-
The
square root of 107102406931477920 is 327265040.8025243383 -
The
cube root of 107102406931477920 is 474897.3472450549
Scales and comparisons
How big is 107102406931477920?- 107,102,406,931,477,920 seconds is equal to 3,405,525,250 years, 48 weeks, 13 hours, 12 minutes.
-
To count from 1 to 107,102,406,931,477,920 would take you about ten billion, two hundred sixteen million, five hundred seventy-five thousand, seven hundred fifty-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 107102406931477920 cubic inches would be around 39574.8 feet tall.
Recreational maths with 107102406931477920
- 107102406931477920 backwards is 029774139604201701
- The number of decimal digits it has is: 18
- The sum of 107102406931477920's digits is 63
- More coming soon!
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