106348643821086400
106,348,643,821,086,400 is an even composite number composed of four prime numbers multiplied together.
106348643821086400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 106348643821086400:
26 × 52 × 3532 × 8113
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 353 × 353 × 811 × 811 × 811)See below for interesting mathematical facts about the number 106348643821086400 from the Numbermatics database.
Names of 106348643821086400
- Cardinal: 106348643821086400 can be written as One hundred six quadrillion, three hundred forty-eight trillion, six hundred forty-three billion, eight hundred twenty-one million, eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.063486438210864 × 1017
Factors of 106348643821086400
Divisors of 106348643821086400
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 353 400 706 800 811 1412 1600 1622 1765 2824 3244 3530 4055 5648 6488 7060 8110 8825 11296 12976 14120 16220 17650 20275 22592 25952 28240 32440 35300 40550 51904 56480 64880 70600 81100 112960 124609 129760 141200 162200 249218 259520 282400 286283 324400 498436 564800 572566 623045 648800 657721 996872 1145132 1246090 1297600 1315442 1431415 1993744 2290264 2492180 2630884 2862830 3115225 3288605 3987488 4580528 4984360 5261768 5725660 6230450 6577210 7157075 7974976 9161056 9968720 10523536 11451320 12460900 13154420 14314150 16443025 18322112 19937440 21047072 22902640 24921800 26308840 28628300 32886050 39874880 42094144 45805280 49843600 52617680 57256600 65772100 91610560 99687200 101057899 105235360 114513200 131544200 199374400 202115798 210470720 229026400 232175513 263088400 404231596 458052800 464351026 505289495 526176800 533411731 808463192 928702052 1010578990 1052353600 1066823462 1160877565 1616926384 1857404104 2021157980 2133646924 2321755130 2526447475 2667058655 3233852768 3714808208 4042315960 4267293848 4643510260 5052894950 5334117310 5804387825 6467705536 7429616416 8084631920 8534587696 9287020520 10105789900 10668234620 11608775650 13335293275 14859232832 16169263840 17069175392 18574041040 20211579800 21336469240 23217551300 26670586550 32338527680 34138350784 37148082080 40423159600 42672938480 46435102600 53341173100 74296164160 80846319200 81957956089 85345876960 92870205200 106682346200 161692638400 163915912178 170691753920 185740410400 188294341043 213364692400 327831824356 371480820800 376588682086 409789780445 426729384800 655663648712 753177364172 819579560890 853458769600 941471705215 1311327297424 1506354728344 1639159121780 1882943410430 2048948902225 2622654594848 3012709456688 3278318243560 3765886820860 4097897804450 4707358526075 5245309189696 6025418913376 6556636487120 7531773641720 8195795608900 9414717052150 12050837826752 13113272974240 15063547283440 16391591217800 18829434104300 26226545948480 30127094566880 32783182435600 37658868208600 60254189133760 65566364871200 66467902388179 75317736417200 131132729742400 132935804776358 150635472834400 265871609552716 301270945668800 332339511940895 531743219105432 664679023881790 1063486438210864 1329358047763580 1661697559704475 2126972876421728 2658716095527160 3323395119408950 4253945752843456 5317432191054320 6646790238817900 10634864382108640 13293580477635800 21269728764217280 26587160955271600 53174321910543200 106348643821086400
- Sum of all divisors σ(n): 262751531189713384
- Sum of proper divisors (its aliquot sum) s(n): 156402887368626984
- 106348643821086400 is an abundant number, because the sum of its proper divisors (156402887368626984) is greater than itself. Its abundance is 50054243547540584
Bases of 106348643821086400
- Binary: 1011110011101001110000111001100010100110011100110110000002
- Hexadecimal: 0x179D387314CE6C0
- Base-36: T35G4IAGM9S
Squares and roots of 106348643821086400
- 106348643821086400 squared (1063486438210864002) is 11310034042584298525693276264960000
- 106348643821086400 cubed (1063486438210864003) is 1202806781999159497217368937989404161881452544000000
-
The
square root of 106348643821086400 is 326111397.8705534297 -
The
cube root of 106348643821086400 is 473780.6491902807
Scales and comparisons
How big is 106348643821086400?- 106,348,643,821,086,400 seconds is equal to 3,381,557,915 years, 28 weeks, 6 days, 13 hours, 46 minutes, 40 seconds.
-
To count from 1 to 106,348,643,821,086,400 would take you about ten billion, one hundred forty-four million, six hundred seventy-three thousand, seven hundred forty-six 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 106348643821086400 cubic inches would be around 39481.7 feet tall.
Recreational maths with 106348643821086400
- 106348643821086400 backwards is 004680128346843601
- 106348643821086400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 106348643821086400's digits is 64
- More coming soon!
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