148446089474906347920
148,446,089,474,906,347,920 is an even composite number composed of six prime numbers multiplied together.
148446089474906347920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 148446089474906347920:
24 × 32 × 5 × 37 × 4184017 × 1331806409
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 37 × 4184017 × 1331806409)See below for interesting mathematical facts about the number 148446089474906347920 from the Numbermatics database.
Names of 148446089474906347920
- Cardinal: 148446089474906347920 can be written as One hundred forty-eight quintillion, four hundred forty-six quadrillion, eighty-nine trillion, four hundred seventy-four billion, nine hundred six million, three hundred forty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.4844608947490634792 × 1020
Factors of 148446089474906347920
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 1335990473
Divisors of 148446089474906347920
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 4184017 8368034 12552051 16736068 20920085 25104102 33472136 37656153 41840170 50208204 62760255 66944272 75312306 83680340 100416408 125520510 150624612 154808629 167360680 188280765 200832816 251041020 301249224 309617258 334721360 376561530 464425887 502082040 602498448 619234516 753123060 774043145 928851774 1004164080 1238469032 1331806409 1393277661 1506246120 1548086290 1857703548 2322129435 2476938064 2663612818 2786555322 3012492240 3096172580 3715407096 3995419227 4644258870 5327225636 5573110644 6192345160 6659032045 6966388305 7430814192 7990838454 9288517740 10654451272 11146221288 11986257681 12384690320 13318064090 13932776610 15981676908 18577035480 19977096135 21308902544 22292442576 23972515362 26636128180 27865553220 31963353816 37154070960 39954192270 47945030724 49276837133 53272256360 55731106440 59931288405 63926707632 79908384540 95890061448 98553674266 106544512720 111462212880 119862576810 147830511399 159816769080 191780122896 197107348532 239725153620 246384185665 295661022798 319633538160 394214697064 443491534197 479450307240 492768371330 591322045596 739152556995 788429394128 886983068394 958900614480 985536742660 1182644091192 1478305113990 1773966136788 1971073485320 2217457670985 2365288182384 2956610227980 3547932273576 3942146970640 4434915341970 5913220455960 7095864547152 8869830683940 11826440911920 17739661367880 35479322735760 5572300655964953 11144601311929906 16716901967894859 22289202623859812 27861503279824765 33433803935789718 44578405247719624 50150705903684577 55723006559649530 66867607871579436 83584509839474295 89156810495439248 100301411807369154 111446013119299060 133735215743158872 167169019678948590 200602823614738308 206175124270703261 222892026238598120 250753529518422885 267470431486317744 334338039357897180 401205647229476616 412350248541406522 445784052477196240 501507059036845770 618525372812109783 668676078715794360 802411294458953232 824700497082813044 1003014118073691540 1030875621353516305 1237050745624219566 1337352157431588720 1649400994165626088 1855576118436329349 2006028236147383080 2061751242707032610 2474101491248439132 3092626864060548915 3298801988331252176 3711152236872658698 4012056472294766160 4123502485414065220 4948202982496878264 6185253728121097830 7422304473745317396 8247004970828130440 9277880592181646745 9896405964993756528 12370507456242195660 14844608947490634792 16494009941656260880 18555761184363293490 24741014912484391320 29689217894981269584 37111522368726586980 49482029824968782640 74223044737453173960 148446089474906347920
- Sum of all divisors σ(n): 512005396228828135920
- Sum of proper divisors (its aliquot sum) s(n): 363559306753921788000
- 148446089474906347920 is an abundant number, because the sum of its proper divisors (363559306753921788000) is greater than itself. Its abundance is 215113217279015440080
Bases of 148446089474906347920
- Binary: 100000001100000110100111001111100000010101111010010101011001100100002
- Hexadecimal: 0x80C1A73E057A55990
- Base-36: VBTNMYJCD5C40
Squares and roots of 148446089474906347920
- 148446089474906347920 squared (1484460894749063479202) is 22036241480391901205530609054712088326400
- 148446089474906347920 cubed (1484460894749063479203) is 3271193874488898884571536175823983385023236783767088921088000
-
The
square root of 148446089474906347920 is 12183845430.5242377331 -
The
cube root of 148446089474906347920 is 5294881.6074726343
Scales and comparisons
How big is 148446089474906347920?- 148,446,089,474,906,347,920 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 148,446,089,474,906,347,920 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 148446089474906347920 cubic inches would be around 441240.1 feet tall.
Recreational maths with 148446089474906347920
- 148446089474906347920 backwards is 029743609474980644841
- The number of decimal digits it has is: 21
- The sum of 148446089474906347920's digits is 99
- More coming soon!
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