30070141303406400
30,070,141,303,406,400 is an even composite number composed of six prime numbers multiplied together.
30070141303406400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 30070141303406400:
26 × 33 × 52 × 7 × 31 × 3207687031
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 31 × 3207687031)See below for interesting mathematical facts about the number 30070141303406400 from the Numbermatics database.
Names of 30070141303406400
- Cardinal: 30070141303406400 can be written as Thirty quadrillion, seventy trillion, one hundred forty-one billion, three hundred three million, four hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 3.00701413034064 × 1016
Factors of 30070141303406400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 3207687079
Divisors of 30070141303406400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 32 35 36 40 42 45 48 50 54 56 60 62 63 64 70 72 75 80 84 90 93 96 100 105 108 112 120 124 126 135 140 144 150 155 160 168 175 180 186 189 192 200 210 216 217 224 225 240 248 252 270 279 280 288 300 310 315 320 336 350 360 372 378 400 420 432 434 448 450 465 480 496 504 525 540 558 560 576 600 620 630 651 672 675 700 720 744 756 775 800 837 840 864 868 900 930 945 960 992 1008 1050 1080 1085 1116 1120 1200 1240 1260 1302 1344 1350 1395 1400 1440 1488 1512 1550 1575 1600 1674 1680 1728 1736 1800 1860 1890 1953 1984 2016 2100 2160 2170 2232 2240 2325 2400 2480 2520 2604 2700 2790 2800 2880 2976 3024 3100 3150 3255 3348 3360 3472 3600 3720 3780 3906 4032 4185 4200 4320 4340 4464 4650 4725 4800 4960 5040 5208 5400 5425 5580 5600 5859 5952 6048 6200 6300 6510 6696 6720 6944 6975 7200 7440 7560 7812 8370 8400 8640 8680 8928 9300 9450 9765 9920 10080 10416 10800 10850 11160 11200 11718 12096 12400 12600 13020 13392 13888 13950 14400 14880 15120 15624 16275 16740 16800 17360 17856 18600 18900 19530 20160 20832 20925 21600 21700 22320 23436 24800 25200 26040 26784 27900 29295 29760 30240 31248 32550 33480 33600 34720 37200 37800 39060 41664 41850 43200 43400 44640 46872 48825 49600 50400 52080 53568 55800 58590 60480 62496 65100 66960 69440 74400 75600 78120 83700 86800 89280 93744 97650 100800 104160 111600 117180 124992 130200 133920 146475 148800 151200 156240 167400 173600 187488 195300 208320 223200 234360 260400 267840 292950 302400 312480 334800 347200 374976 390600 446400 468720 520800 585900 624960 669600 781200 937440 1041600 1171800 1339200 1562400 1874880 2343600 3124800 4687200 9374400 3207687031 6415374062 9623061093 12830748124 16038435155 19246122186 22453809217 25661496248 28869183279 32076870310 38492244372 44907618434 48115305465 51322992496 57738366558 64153740620 67361427651 76984488744 80192175775 86607549837 89815236868 96230610930 99438297961 102645984992 112269046085 115476733116 128307481240 134722855302 144345916395 153968977488 160384351550 173215099674 179630473736 192461221860 198876595922 202084282953 205291969984 224538092170 230953466232 240576527325 256614962480 269445710604 288691832790 298314893883 307937954976 320768703100 336807138255 346430199348 359260947472 384922443720 397753191844 404168565906 433037749185 449076184340 461906932464 481153054650 497191489805 513229924960 538891421208 561345230425 577383665580 596629787766 606252848859 615875909952 641537406200 673614276510 692860398696 696068085727 718521894944 721729581975 769844887440 795506383688 808337131812 866075498370 894944681649 898152368680 923813864928 962306109300 994382979610 1010421414765 1026459849920 1077782842416 1122690460850 1154767331160 1193259575532 1212505697718 1283074812400 1347228553020 1385720797392 1392136171454 1437043789888 1443459163950 1491574469415 1539689774880 1591012767376 1616674263624 1684035691275 1732150996740 1789889363298 1796304737360 1847627729856 1924612218600 1988765959220 2020842829530 2088204257181 2155565684832 2165188745925 2245380921700 2309534662320 2386519151064 2425011395436 2485957449025 2566149624800 2684834044947 2694457106040 2771441594784 2784272342908 2886918327900 2983148938830 3031264244295 3079379549760 3182025534752 3233348527248 3368071382550 3464301993480 3480340428635 3579778726596 3592609474720 3849224437200 3977531918440 4041685659060 4176408514362 4311131369664 4330377491850 4474723408245 4490761843400 4619069324640 4773038302128 4850022790872 4971914898050 5052107073825 5132299249600 5369668089894 5388914212080 5542883189568 5568544685816 5773836655800 5966297877660 6062528488590 6264612771543 6364051069504 6466697054496 6736142765100 6928603986960 6960680857270 7159557453192 7185218949440 7457872347075 7698448874400 7955063836880 8083371318120 8352817028724 8660754983700 8949446816490 8981523686800 9238138649280 9546076604256 9700045581744 9943829796100 10104214147650 10441021285905 10739336179788 10777828424160 11137089371632 11547673311600 11932595755320 12125056977180 12529225543086 12933394108992 13424170224735 13472285530200 13857207973920 13921361714540 14319114906384 14915744694150 15156321221475 15396897748800 15910127673760 16166742636240 16705634057448 17321509967400 17401702143175 17898893632980 17963047373600 18793838314629 19092153208512 19400091163488 19887659592200 20208428295300 20882042571810 21478672359576 21555656848320 22274178743264 22373617041225 23095346623200 23865191510640 24250113954360 25058451086172 26848340449470 26944571060400 27714415947840 27842723429080 28638229812768 29831489388300 30312642442950 31323063857715 31820255347520 32333485272480 33411268114896 34643019934800 34803404286350 35797787265960 35926094747200 37587676629258 38800182326976 39775319184400 40416856590600 41764085143620 42957344719152 44548357486528 44747234082450 46190693246400 47730383021280 48500227908720 50116902172344 52205106429525 53696680898940 53889142120800 55685446858160 57276459625536 59662978776600 60625284885900 62646127715430 64666970544960 66822536229792 67120851123675 69286039869600 69606808572700 71595574531920 75175353258516 79550638368800 80833713181200 83528170287240 85914689438304 89494468164900 93969191573145 95460766042560 97000455817440 100233804344688 104410212859050 107393361797880 107778284241600 111370893716320 119325957553200 121250569771800 125292255430860 133645072459584 134241702247350 138572079739200 139213617145400 143191149063840 150350706517032 156615319288575 159101276737600 161667426362400 167056340574480 171829378876608 178988936329800 187938383146290 194000911634880 200467608689376 208820425718100 214786723595760 222741787432640 238651915106400 242501139543600 250584510861720 268483404494700 278427234290800 286382298127680 300701413034064 313230638577150 323334852724800 334112681148960 357977872659600 375876766292580 400935217378752 417640851436200 429573447191520 469845957865725 477303830212800 485002279087200 501169021723440 536966808989400 556854468581600 601402826068128 626461277154300 668225362297920 715955745319200 751753532585160 835281702872400 859146894383040 939691915731450 970004558174400 1002338043446880 1073933617978800 1113708937163200 1202805652136256 1252922554308600 1431911490638400 1503507065170320 1670563405744800 1879383831462900 2004676086893760 2147867235957600 2505845108617200 3007014130340640 3341126811489600 3758767662925800 4295734471915200 5011690217234400 6014028260681280 7517535325851600 10023380434468800 15035070651703200 30070141303406400
- Sum of all divisors σ(n): 129317517772636160
- Sum of proper divisors (its aliquot sum) s(n): 99247376469229760
- 30070141303406400 is an abundant number, because the sum of its proper divisors (99247376469229760) is greater than itself. Its abundance is 69177235165823360
Bases of 30070141303406400
- Binary: 11010101101010010100010010110101011110000111111010000002
- Hexadecimal: 0x6AD4A25ABC3F40
- Base-36: 882Z47K09C0
Squares and roots of 30070141303406400
- 30070141303406400 squared (300701413034064002) is 904213398006827548660243560960000
- 30070141303406400 cubed (300701413034064003) is 27189824646498555271916606932238617314054144000000
-
The
square root of 30070141303406400 is 173407443.0450042707 -
The
cube root of 30070141303406400 is 310965.2235987361
Scales and comparisons
How big is 30070141303406400?- 30,070,141,303,406,400 seconds is equal to 956,137,480 years, 20 weeks, 3 days, 12 hours.
-
To count from 1 to 30,070,141,303,406,400 would take you about two billion, eight hundred sixty-eight million, four hundred twelve thousand, four hundred forty-one 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 30070141303406400 cubic inches would be around 25913.8 feet tall.
Recreational maths with 30070141303406400
- 30070141303406400 backwards is 00460430314107003
- 30070141303406400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 30070141303406400's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 30070141303406400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 30070141303406400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/30070141303406400/
Chicago style:
Numbermatics. 2024. "Number 30070141303406400 - Facts about the integer". https://numbermatics.com/n/30070141303406400/
The information we have on file for 30070141303406400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 30070141303406400, math, Factors of 30070141303406400, curriculum, school, college, exams, university, Prime factorization of 30070141303406400, STEM, science, technology, engineering, physics, economics, calculator, thirty quadrillion, seventy trillion, one hundred forty-one billion, three hundred three million, four hundred six thousand, four hundred.