30138245551209600
30,138,245,551,209,600 is an even composite number composed of six prime numbers multiplied together.
30138245551209600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 30138245551209600:
27 × 32 × 52 × 7 × 41 × 3646225991
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 41 × 3646225991)See below for interesting mathematical facts about the number 30138245551209600 from the Numbermatics database.
Names of 30138245551209600
- Cardinal: 30138245551209600 can be written as Thirty quadrillion, one hundred thirty-eight trillion, two hundred forty-five billion, five hundred fifty-one million, two hundred nine thousand, six hundred.
Scientific notation
- Scientific notation: 3.01382455512096 × 1016
Factors of 30138245551209600
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 3646226049
Divisors of 30138245551209600
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 41 42 45 48 50 56 60 63 64 70 72 75 80 82 84 90 96 100 105 112 120 123 126 128 140 144 150 160 164 168 175 180 192 200 205 210 224 225 240 246 252 280 287 288 300 315 320 328 336 350 360 369 384 400 410 420 448 450 480 492 504 525 560 574 576 600 615 630 640 656 672 700 720 738 800 820 840 861 896 900 960 984 1008 1025 1050 1120 1148 1152 1200 1230 1260 1312 1344 1400 1435 1440 1476 1575 1600 1640 1680 1722 1800 1845 1920 1968 2016 2050 2100 2240 2296 2400 2460 2520 2583 2624 2688 2800 2870 2880 2952 3075 3150 3200 3280 3360 3444 3600 3690 3936 4032 4100 4200 4305 4480 4592 4800 4920 5040 5166 5248 5600 5740 5760 5904 6150 6300 6560 6720 6888 7175 7200 7380 7872 8064 8200 8400 8610 9184 9225 9600 9840 10080 10332 11200 11480 11808 12300 12600 12915 13120 13440 13776 14350 14400 14760 15744 16400 16800 17220 18368 18450 19680 20160 20664 21525 22400 22960 23616 24600 25200 25830 26240 27552 28700 28800 29520 32800 33600 34440 36736 36900 39360 40320 41328 43050 45920 47232 49200 50400 51660 55104 57400 59040 64575 65600 67200 68880 73800 78720 82656 86100 91840 98400 100800 103320 110208 114800 118080 129150 131200 137760 147600 165312 172200 183680 196800 201600 206640 229600 236160 258300 275520 295200 330624 344400 393600 413280 459200 516600 551040 590400 688800 826560 918400 1033200 1180800 1377600 1653120 2066400 2755200 4132800 8265600 3646225991 7292451982 10938677973 14584903964 18231129955 21877355946 25523581937 29169807928 32816033919 36462259910 43754711892 51047163874 54693389865 58339615856 65632067838 72924519820 76570745811 87509423784 91155649775 102094327748 109386779730 116679231712 127617909685 131264135676 145849039640 149495265631 153141491622 164080169595 175018847568 182311299550 204188655496 218773559460 229712237433 233358463424 255235819370 262528271352 273466949325 291698079280 298990531262 306282983244 328160339190 350037695136 364622599100 382853729055 408377310992 437547118920 448485796893 459424474866 466716926848 510471638740 525056542704 546933898650 583396158560 597981062524 612565966488 638089548425 656320678380 700075390272 729245198200 747476328155 765707458110 816754621984 820400847975 875094237840 896971593786 918848949732 1020943277480 1046466859417 1050113085408 1093867797300 1148561187165 1166792317120 1195962125048 1225131932976 1276179096850 1312641356760 1345457390679 1400150780544 1458490396400 1494952656310 1531414916220 1633509243968 1640801695950 1750188475680 1793943187572 1837697899464 1914268645275 2041886554960 2092933718834 2100226170816 2187735594600 2242428984465 2297122374330 2333584634240 2391924250096 2450263865952 2552358193700 2625282713520 2690914781358 2916980792800 2989905312620 3062829832440 3139400578251 3267018487936 3281603391900 3500376951360 3587886375144 3675395798928 3737381640775 3828537290550 4083773109920 4185867437668 4200452341632 4375471189200 4484857968930 4594244748660 4783848500192 4900527731904 5104716387400 5232334297085 5250565427040 5381829562716 5742805935825 5833961585600 5979810625240 6125659664880 6278801156502 6563206783800 6727286953395 7000753902720 7175772750288 7350791597856 7474763281550 7657074581100 8167546219840 8371734875336 8750942378400 8969715937860 9188489497320 9418201734753 9567697000384 9801055463808 10209432774800 10464668594170 10501130854080 10763659125432 11212144922325 11485611871650 11667923171200 11959621250480 12251319329760 12557602313004 13126413567600 13454573906790 14351545500576 14701583195712 14949526563100 15314149162200 15697002891255 16335092439680 16743469750672 17501884756800 17939431875720 18376978994640 18836403469506 19135394000768 20418865549600 20929337188340 21002261708160 21527318250864 22424289844650 22971223743300 23919242500960 24502638659520 25115204626008 26161671485425 26252827135200 26909147813580 28703091001152 29403166391424 29899053126200 30628298324400 31394005782510 33486939501344 33636434766975 35003769513600 35878863751440 36753957989280 37672806939012 40837731099200 41858674376680 43054636501728 44848579689300 45942447486600 47091008673765 47838485001920 49005277319040 50230409252016 52323342970850 52505654270400 53818295627160 57406182002304 59798106252400 61256596648800 62788011565020 66973879002688 67272869533950 71757727502880 73507915978560 75345613878024 78485014456275 81675462198400 83717348753360 86109273003456 89697159378600 91884894973200 94182017347530 95676970003840 100460818504032 104646685941700 105011308540800 107636591254320 119596212504800 122513193297600 125576023130040 133947758005376 134545739067900 143515455005760 147015831957120 150691227756048 156970028912550 167434697506720 172218546006912 179394318757200 183769789946400 188364034695060 200921637008064 209293371883400 215273182508640 235455043368825 239192425009600 245026386595200 251152046260080 269091478135800 287030910011520 301382455512096 313940057825100 334869395013440 358788637514400 367539579892800 376728069390120 401843274016128 418586743766800 430546365017280 470910086737650 478384850019200 502304092520160 538182956271600 602764911024192 627880115650200 669738790026880 717577275028800 735079159785600 753456138780240 837173487533600 861092730034560 941820173475300 1004608185040320 1076365912543200 1205529822048384 1255760231300400 1435154550057600 1506912277560480 1674346975067200 1883640346950600 2009216370080640 2152731825086400 2511520462600800 3013824555120960 3348693950134400 3767280693901200 4305463650172800 5023040925201600 6027649110241920 7534561387802400 10046081850403200 15069122775604800 30138245551209600
- Sum of all divisors σ(n): 125900683126807680
- Sum of proper divisors (its aliquot sum) s(n): 95762437575598080
- 30138245551209600 is an abundant number, because the sum of its proper divisors (95762437575598080) is greater than itself. Its abundance is 65624192024388480
Bases of 30138245551209600
- Binary: 11010110001001010010011000111000011101110111100100000002
- Hexadecimal: 0x6B12931C3BBC80
- Base-36: 88R46VAQZK0
Squares and roots of 30138245551209600
- 30138245551209600 squared (301382455512096002) is 908313844905005246136023132160000
- 30138245551209600 cubed (301382455512096003) is 27374985695310360958882748203244315468660736000000
-
The
square root of 30138245551209600 is 173603702.5849667759 -
The
cube root of 30138245551209600 is 311199.8093979289
Scales and comparisons
How big is 30138245551209600?- 30,138,245,551,209,600 seconds is equal to 958,302,984 years, 42 weeks, 2 days, 8 hours.
-
To count from 1 to 30,138,245,551,209,600 would take you about two billion, eight hundred seventy-four million, nine hundred eight thousand, nine hundred fifty-four 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 30138245551209600 cubic inches would be around 25933.3 feet tall.
Recreational maths with 30138245551209600
- 30138245551209600 backwards is 00690215554283103
- The number of decimal digits it has is: 17
- The sum of 30138245551209600's digits is 54
- More coming soon!
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