126138378038400
126,138,378,038,400 is an even composite number composed of eight prime numbers multiplied together.
126138378038400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 126138378038400:
27 × 34 × 52 × 7 × 13 × 79 × 139 × 487
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 79 × 139 × 487)See below for interesting mathematical facts about the number 126138378038400 from the Numbermatics database.
Names of 126138378038400
- Cardinal: 126138378038400 can be written as One hundred twenty-six trillion, one hundred thirty-eight billion, three hundred seventy-eight million, thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.261383780384 × 1014
Factors of 126138378038400
Divisors of 126138378038400
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 79 80 81 84 90 91 96 100 104 105 108 112 117 120 126 128 130 135 139 140 144 150 156 158 160 162 168 175 180 182 189 192 195 200 208 210 216 224 225 234 237 240 252 260 270 273 278 280 288 300 312 315 316 320 324 325 336 350 351 360 364 378 384 390 395 400 405 416 417 420 432 448 450 455 468 474 480 487 504 520 525 540 546 553 556 560 567 576 585 600 624 630 632 640 648 650 672 675 695 700 702 711 720 728 756 780 790 800 810 819 832 834 840 864 896 900 910 936 945 948 960 973 974 975 1008 1027 1040 1050 1053 1080 1092 1106 1112 1120 1134 1152 1170 1185 1200 1248 1251 1260 1264 1296 1300 1344 1350 1365 1390 1400 1404 1422 1440 1456 1461 1512 1560 1575 1580 1600 1620 1638 1659 1664 1668 1680 1728 1755 1800 1807 1820 1872 1890 1896 1920 1946 1948 1950 1975 2016 2025 2054 2080 2085 2100 2106 2133 2160 2184 2212 2224 2240 2268 2275 2340 2370 2400 2435 2457 2496 2502 2520 2528 2592 2600 2688 2700 2730 2765 2780 2800 2808 2835 2844 2880 2912 2919 2922 2925 3024 3081 3120 3150 3160 3200 3240 3276 3318 3336 3360 3409 3456 3475 3510 3555 3600 3614 3640 3744 3753 3780 3792 3892 3896 3900 3950 4032 4050 4095 4108 4160 4170 4200 4212 4266 4320 4368 4383 4424 4448 4480 4536 4550 4680 4725 4740 4800 4865 4870 4914 4977 4992 5004 5040 5056 5135 5184 5200 5265 5400 5421 5460 5530 5560 5600 5616 5670 5688 5760 5824 5838 5844 5850 5925 6048 6162 6240 6255 6300 6320 6331 6399 6480 6552 6636 6672 6720 6818 6825 6950 7020 7110 7189 7200 7228 7280 7305 7371 7488 7506 7560 7584 7784 7792 7800 7900 8064 8100 8190 8216 8295 8320 8340 8400 8424 8532 8640 8736 8757 8766 8775 8848 8896 9035 9072 9100 9243 9360 9450 9480 9600 9730 9740 9828 9954 10008 10080 10112 10227 10270 10368 10400 10425 10530 10665 10800 10842 10920 10981 11060 11120 11200 11232 11259 11340 11376 11648 11676 11688 11700 11850 12096 12175 12285 12324 12480 12510 12600 12640 12649 12662 12798 12960 13104 13149 13272 13344 13440 13636 13650 13825 13900 14040 14175 14220 14378 14400 14456 14560 14595 14610 14742 14931 14976 15012 15120 15168 15405 15568 15584 15600 15800 16200 16263 16380 16432 16590 16680 16800 16848 17045 17064 17280 17472 17514 17532 17550 17696 17775 17792 18070 18144 18200 18486 18720 18765 18900 18960 18993 19460 19480 19656 19908 20016 20160 20454 20475 20540 20800 20850 21060 21330 21567 21600 21684 21840 21915 21962 22120 22240 22400 22464 22518 22680 22752 23352 23376 23400 23700 24192 24325 24350 24570 24648 24885 24960 25020 25200 25280 25298 25324 25596 25675 25920 26208 26271 26298 26325 26544 26688 27105 27272 27300 27650 27729 27800 28080 28350 28440 28756 28800 28912 29120 29190 29220 29484 29862 30024 30240 30336 30681 30810 31136 31168 31200 31275 31600 31655 31995 32400 32526 32760 32864 32943 33180 33360 33600 33696 34090 34128 34944 35028 35064 35100 35392 35550 35945 36140 36288 36400 36525 36855 36972 37440 37530 37800 37920 37947 37986 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66528680400 66739882560 67381612200 69306801120 69805411200 70076876688 71873719680 72996746550 75082367880 75622528800 75804313725 76032777600 77007556800 77863196320 78836486274 79834416480 80087859072 80857934640 83424853200 86337014400 86633501400 87596095860 88704907200 89842149600 90098841456 90747034560 92409068160 93435835584 93852959850 97029521568 97328995400 99793020600 100109823840 100830038400 101072418300 105115315032 106445888640 107810579520 109495119825 111233137600 112623551820 113433793200 114049166400 115511335200 116794794480 119789532800 120131788608 121286901960 122822179200 125137279800 129372695424 129505521600 129638620800 131394143790 133057360800 133479765120 134763224400 138613602240 140153753376 140779439775 145993493100 150164735760 151245057600 151608627450 154015113600 155726392640 157672972548 159668832960 161715869280 166849706400 173267002800 175192191720 177409814400 179684299200 180197682912 181494069120 186871671168 187705919700 194059043136 194657990800 197091215685 199586041200 200219647680 202144836600 210230630064 215621159040 218990239650 222466275200 225247103640 226867586400 228098332800 231022670400 233589588960 240263577216 242573803920 250274559600 259011043200 262788287580 266114721600 269526448800 277227204480 280307506752 281558879550 291986986200 300329471520 302490115200 303217254900 311452785280 315345945096 319337665920 323431738560 328485359475 333699412800 346534005600 350384383440 359368598400 360395365824 375411839400 388118086272 389315981600 394182431370 399172082400 400439295360 404289673200 420461260128 437980479300 450494207280 453735172800 462045340800 467179177920 485147607840 500549119200 525576575160 532229443200 539052897600 560615013504 563117759100 583973972400 600658943040 606434509800 630691890192 646863477120 656970718950 667398825600 693068011200 700768766880 720790731648 750823678800 778631963200 788364862740 798344164800 808579346400 840922520256 875960958600 900988414560 907470345600 934358355840 970295215680 985456078425 1001098238400 1051153150320 1078105795200 1126235518200 1167947944800 1201317886080 1212869019600 1261383780384 1313941437900 1386136022400 1401537533760 1501647357600 1557263926400 1576729725480 1596688329600 1617158692800 1681845040512 1751921917200 1801976829120 1940590431360 1970912156850 2002196476800 2102306300640 2252471036400 2335895889600 2425738039200 2522767560768 2627882875800 2803075067520 3003294715200 3153459450960 3234317385600 3503843834400 3603953658240 3941824313700 4204612601280 4504942072800 4671791779200 4851476078400 5045535121536 5255765751600 6006589430400 6306918901920 7007687668800 7883648627400 8409225202560 9009884145600 9702952156800 10511531503200 12613837803840 14015375337600 15767297254800 18019768291200 21023063006400 25227675607680 31534594509600 42046126012800 63069189019200 126138378038400
- Sum of all divisors σ(n): 585521857536000
- Sum of proper divisors (its aliquot sum) s(n): 459383479497600
- 126138378038400 is an abundant number, because the sum of its proper divisors (459383479497600) is greater than itself. Its abundance is 333245101459200
Bases of 126138378038400
- Binary: 111001010111000111000010011011100101100100000002
- Hexadecimal: 0x72B8E1372C80
- Base-36: 18PN65HK00
Squares and roots of 126138378038400
- 126138378038400 squared (1261383780384002) is 15910890414158311431874560000
- 126138378038400 cubed (1261383780384003) is 2006973909988655831139193656847663104000000
-
The
square root of 126138378038400 is 11231134.3166396153 -
The
cube root of 126138378038400 is 50151.3252895547
Scales and comparisons
How big is 126138378038400?- 126,138,378,038,400 seconds is equal to 4,010,810 years, 13 weeks.
-
To count from 1 to 126,138,378,038,400 would take you about ten million, twenty-seven thousand and twenty-five 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 126138378038400 cubic inches would be around 4179.3 feet tall.
Recreational maths with 126138378038400
- 126138378038400 backwards is 004830873831621
- 126138378038400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 126138378038400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 126138378038400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 126138378038400 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/126138378038400/
Chicago style:
Numbermatics. 2024. "Number 126138378038400 - Facts about the integer". https://numbermatics.com/n/126138378038400/
The information we have on file for 126138378038400 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 126138378038400, math, Factors of 126138378038400, curriculum, school, college, exams, university, Prime factorization of 126138378038400, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-six trillion, one hundred thirty-eight billion, three hundred seventy-eight million, thirty-eight thousand, four hundred.