42426848358400
42,426,848,358,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 42426848358400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 936 divisors.
42426848358400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 42426848358400:
212 × 52 × 112 × 23 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 23 × 53 × 53 × 53)See below for interesting mathematical facts about the number 42426848358400 from the Numbermatics database.
Names of 42426848358400
- Cardinal: 42426848358400 can be written as Forty-two trillion, four hundred twenty-six billion, eight hundred forty-eight million, three hundred fifty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.24268483584 × 1013
Factors of 42426848358400
Divisors of 42426848358400
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 53 55 64 80 88 92 100 106 110 115 121 128 160 176 184 200 212 220 230 242 253 256 265 275 320 352 368 400 424 440 460 484 506 512 530 550 575 583 605 640 704 736 800 848 880 920 968 1012 1024 1060 1100 1150 1166 1210 1219 1265 1280 1325 1408 1472 1600 1696 1760 1840 1936 2024 2048 2120 2200 2300 2332 2420 2438 2530 2560 2650 2783 2809 2816 2915 2944 3025 3200 3392 3520 3680 3872 4048 4096 4240 4400 4600 4664 4840 4876 5060 5120 5300 5566 5618 5632 5830 5888 6050 6095 6325 6400 6413 6784 7040 7360 7744 8096 8480 8800 9200 9328 9680 9752 10120 10240 10600 11132 11236 11264 11660 11776 12100 12190 12650 12800 12826 13409 13568 13915 14045 14080 14575 14720 15488 16192 16960 17600 18400 18656 19360 19504 20240 20480 21200 22264 22472 22528 23320 23552 24200 24380 25300 25600 25652 26818 27136 27830 28090 28160 29150 29440 30475 30899 30976 32065 32384 33920 35200 36800 37312 38720 39008 40480 42400 44528 44944 45056 46640 47104 48400 48760 50600 51200 51304 53636 54272 55660 56180 56320 58300 58880 60950 61798 61952 64130 64607 64768 67045 67840 69575 70225 70400 73600 74624 77440 78016 80960 84800 89056 89888 93280 94208 96800 97520 101200 102400 102608 107272 108544 111320 112360 112640 116600 117760 121900 123596 123904 128260 129214 129536 134090 135680 139150 140450 140800 147200 147499 148877 149248 154495 154880 156032 160325 161920 169600 178112 179776 186560 193600 195040 202400 205216 214544 217088 222640 224720 225280 233200 235520 243800 247192 247808 256520 258428 259072 268180 271360 278300 280900 281600 294400 294998 297754 298496 308990 309760 312064 320650 323035 323840 335225 339200 339889 356224 359552 373120 387200 390080 404800 410432 429088 445280 449440 466400 471040 487600 494384 495616 513040 516856 518144 536360 542720 556600 561800 563200 588800 589996 595508 596992 617980 619520 624128 641300 646070 647680 670450 678400 679778 710677 712448 719104 737495 744385 746240 772475 774400 780160 809600 820864 858176 890560 898880 932800 975200 988768 1026080 1033712 1036288 1072720 1085440 1113200 1123600 1126400 1177600 1179992 1191016 1193984 1235960 1239040 1248256 1282600 1292140 1295360 1340900 1356800 1359556 1421354 1424896 1438208 1474990 1488770 1492480 1544950 1548800 1560320 1615175 1619200 1637647 1641728 1699445 1716352 1781120 1797760 1865600 1950400 1977536 2052160 2067424 2145440 2226400 2247200 2355200 2359984 2382032 2387968 2471920 2478080 2496512 2565200 2584280 2590720 2681800 2713600 2719112 2842708 2849792 2876416 2949980 2977540 2984960 3089900 3097600 3120640 3230350 3238400 3275294 3283456 3398890 3424171 3432704 3553385 3562240 3595520 3687475 3721925 3731200 3900800 3955072 4104320 4134848 4290880 4452800 4494400 4719968 4764064 4943840 4993024 5130400 5168560 5181440 5363600 5427200 5438224 5685416 5699584 5752832 5899960 5955080 5969920 6179800 6195200 6241280 6460700 6476800 6550588 6566912 6797780 6848342 6865408 7106770 7124480 7191040 7374950 7443850 7462400 7801600 7817447 7910144 8188235 8208640 8269696 8497225 8581760 8905600 8988800 9439936 9528128 9887680 10260800 10337120 10727200 10876448 11370832 11399168 11505664 11799920 11910160 11939840 12359600 12390400 12482560 12921400 12953600 13101176 13133824 13595560 13696684 13730816 14213540 14248960 14382080 14749900 14887700 14924800 15603200 15634894 15820288 16376470 16417280 16539392 16994450 17120855 17163520 17766925 17811200 17977600 18014117 18879872 19056256 19775360 20521600 20674240 21454400 21752896 22741664 23599840 23820320 24719200 24965120 25842800 25907200 26202352 26267648 27191120 27393368 27461632 28427080 28497920 28764160 29499800 29775400 29849600 31206400 31269788 31640576 32752940 32834560 33078784 33988900 34241710 34327040 35533850 35622400 35955200 36028234 37665881 37759744 38112512 39087235 39550720 40941175 41043200 41348480 42908800 43505792 45483328 47199680 47640640 49438400 51685600 52404704 54382240 54786736 54923264 56854160 56995840 57528320 58999600 59550800 59699200 62412800 62539576 63281152 65505880 65669120 66157568 67977800 68483420 68654080 71067700 71244800 71910400 72056468 75331762 75519488 76225024 78174470 79101440 81882350 82086400 82696960 85604275 85817600 87011584 90070585 90966656 94399360 95281280 98876800 103371200 104809408 108764480 109573472 113708320 117999200 119101600 124825600 125079152 126562304 131011760 131338240 132315136 135955600 136966840 137308160 142135400 142489600 143820800 144112936 150663524 151038976 152450048 156348940 158202880 163764700 164172800 165393920 171208550 171635200 174023168 180141170 181933312 188329405 188798720 190562560 195436175 197753600 206742400 209618816 217528960 219146944 227416640 235998400 238203200 250158304 262023520 264630272 271911200 273933680 274616320 284270800 284979200 287641600 288225872 301327048 302077952 304900096 312697880 316405760 327529400 328345600 330787840 342417100 343270400 348046336 360282340 363866624 376658810 377597440 381125120 390872350 395507200 413484800 414324691 419237632 435057920 438293888 450352925 454833280 471996800 476406400 500316608 524047040 543822400 547867360 568541600 576451744 602654096 604155904 609800192 625395760 632811520 655058800 656691200 661575680 684834200 686540800 696092672 720564680 727733248 753317620 755194880 762250240 781744700 791014400 826969600 828649382 838475264 870115840 876587776 900705850 909666560 941647025 943993600 952812800 1000633216 1048094080 1087644800 1095734720 1137083200 1152903488 1205308192 1250791520 1310117600 1323151360 1369668400 1373081600 1392185344 1441129360 1455466496 1506635240 1510389760 1524500480 1563489400 1582028800 1653939200 1657298764 1676950528 1740231680 1753175552 1801411700 1819333120 1883294050 1887987200 1905625600 2001266432 2071623455 2096188160 2175289600 2191469440 2274166400 2305806976 2410616384 2501583040 2620235200 2739336800 2882258720 2910932992 3013270480 3020779520 3049000960 3126978800 3164057600 3307878400 3314597528 3353901056 3480463360 3506351104 3602823400 3638666240 3766588100 3775974400 3811251200 4002532864 4143246910 4192376320 4350579200 4382938880 4548332800 4611613952 4821232768 5003166080 5240470400 5478673600 5764517440 6026540960 6253957600 6615756800 6629195056 6707802112 6960926720 7012702208 7205646800 7277332480 7533176200 7551948800 7622502400 8005065728 8286493820 8384752640 8701158400 8765877760 9096665600 9223227904 9642465536 10006332160 10358117275 10480940800 10957347200 11529034880 12053081920 12507915200 13258390112 14025404416 14411293600 14554664960 15066352400 15103897600 15245004800 16010131456 16572987640 16769505280 17402316800 17531755520 18193331200 18446455808 19284931072 20012664320 20716234550 20961881600 21914694400 23058069760 24106163840 25015830400 26516780224 28822587200 30132704800 32020262912 33145975280 33539010560 34804633600 35063511040 36386662400 36892911616 38569862144 40025328640 41432469100 41923763200 43829388800 46116139520 48212327680 50031660800 53033560448 57645174400 60265409600 66291950560 70127022080 72773324800 73785823232 77139724288 80050657280 82864938200 83847526400 87658777600 92232279040 96424655360 100063321600 106067120896 115290348800 120530819200 132583901120 154279448576 160101314560 165729876400 167695052800 175317555200 184464558080 192849310720 200126643200 212134241792 230580697600 241061638400 265167802240 331459752800 350635110400 368929116160 385698621440 400253286400 424268483584 461161395200 482123276800 530335604480 662919505600 771397242880 800506572800 848536967168 922322790400 964246553600 1060671208960 1325839011200 1697073934336 1844645580800 1928493107200 2121342417920 2651678022400 3856986214400 4242684835840 5303356044800 8485369671680 10606712089600 21213424179200 42426848358400
- Sum of all divisors σ(n): 122987672347680
- Sum of proper divisors (its aliquot sum) s(n): 80560823989280
- 42426848358400 is an abundant number, because the sum of its proper divisors (80560823989280) is greater than itself. Its abundance is 38133975630880
Bases of 42426848358400
- Binary: 10011010010110010001010011100110110000000000002
- Hexadecimal: 0x26964539B000
- Base-36: F1EMI30N4
Squares and roots of 42426848358400
- 42426848358400 squared (424268483584002) is 1800037461626668774850560000
- 42426848358400 cubed (424268483584003) is 76369916423873935103929020741320704000000
-
The
square root of 42426848358400 is 6513589.5141158535 -
The
cube root of 42426848358400 is 34877.6266095425
Scales and comparisons
How big is 42426848358400?- 42,426,848,358,400 seconds is equal to 1,349,042 years, 28 weeks, 1 day, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 42,426,848,358,400 would take you about three million, three hundred seventy-two thousand, six hundred 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 42426848358400 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42426848358400
- 42426848358400 backwards is 00485384862424
- The number of decimal digits it has is: 14
- The sum of 42426848358400's digits is 58
- 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 42426848358400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 42426848358400 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/42426848358400/
Chicago style:
Numbermatics. 2024. "Number 42426848358400 - Facts about the integer". https://numbermatics.com/n/42426848358400/
The information we have on file for 42426848358400 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 42426848358400, math, Factors of 42426848358400, curriculum, school, college, exams, university, Prime factorization of 42426848358400, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, four hundred twenty-six billion, eight hundred forty-eight million, three hundred fifty-eight thousand, four hundred.