138465423205200
138,465,423,205,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138465423205200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
138465423205200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138465423205200:
24 × 35 × 52 × 7 × 133 × 211 × 439
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 13 × 211 × 439)See below for interesting mathematical facts about the number 138465423205200 from the Numbermatics database.
Names of 138465423205200
- Cardinal: 138465423205200 can be written as One hundred thirty-eight trillion, four hundred sixty-five billion, four hundred twenty-three million, two hundred five thousand, two hundred.
Scientific notation
- Scientific notation: 1.384654232052 × 1014
Factors of 138465423205200
Divisors of 138465423205200
- Number of divisors d(n): 2880
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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 35 36 39 40 42 45 48 50 52 54 56 60 63 65 70 72 75 78 80 81 84 90 91 100 104 105 108 112 117 120 126 130 135 140 144 150 156 162 168 169 175 180 182 189 195 200 208 210 211 216 225 234 240 243 252 260 270 273 280 300 312 315 324 325 336 338 350 351 360 364 378 390 400 405 420 422 432 439 450 455 468 486 504 507 520 525 540 546 560 567 585 600 624 630 633 648 650 675 676 700 702 720 728 756 780 810 819 840 844 845 878 900 910 936 945 972 975 1008 1014 1040 1050 1053 1055 1080 1092 1134 1170 1183 1200 1215 1260 1266 1296 1300 1317 1350 1352 1365 1400 1404 1456 1477 1512 1521 1560 1575 1620 1638 1680 1688 1690 1701 1755 1756 1800 1820 1872 1890 1899 1944 1950 2025 2028 2100 2106 2110 2160 2184 2195 2197 2268 2275 2340 2366 2430 2457 2520 2532 2535 2600 2634 2700 2704 2730 2743 2800 2808 2835 2925 2954 3024 3042 3073 3120 3150 3159 3165 3240 3276 3376 3380 3402 3510 3512 3549 3600 3640 3780 3798 3888 3900 3951 4050 4056 4095 4200 4212 4220 4225 4368 4390 4394 4431 4536 4550 4563 4680 4725 4732 4860 4914 5040 5064 5070 5200 5265 5268 5275 5400 5460 5486 5616 5670 5697 5707 5850 5908 5915 6075 6084 6146 6300 6318 6330 6480 6552 6585 6591 6760 6804 6825 7020 7024 7098 7280 7371 7385 7560 7596 7605 7800 7902 8100 8112 8190 8229 8400 8424 8440 8450 8505 8775 8780 8788 8862 9072 9100 9126 9219 9360 9450 9464 9495 9720 9828 10128 10140 10530 10536 10550 10647 10800 10920 10972 10975 10985 11340 11394 11414 11700 11816 11830 11853 12150 12168 12285 12292 12600 12636 12660 12675 13104 13170 13182 13293 13520 13608 13650 13689 13715 14040 14175 14196 14742 14770 15120 15192 15210 15365 15379 15600 15795 15804 15825 16200 16380 16458 16848 16880 16900 17010 17091 17121 17550 17560 17576 17724 17745 18200 18252 18438 18900 18928 18990 19201 19440 19656 19755 19773 20280 20475 21060 21072 21100 21294 21840 21944 21950 21970 22113 22155 22680 22788 22815 22828 23400 23632 23660 23706 24300 24336 24570 24584 24687 25200 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18785161200 19019975715 19507667400 19713186675 19724419260 20287974096 20350591300 20483050770 21008257200 21027399120 21133306350 21368120865 21874474440 21916021400 21978638604 22529356200 22758945300 22792662256 23409200880 23436936900 23669303112 24262383600 24304971600 24420709560 24655524075 25239778200 25359967620 25641745038 26249369328 26284248900 26299225680 26627966001 27310734360 27343093050 27473298255 28177741800 28490827820 29261501100 29304851472 29586628890 30345260400 30431961144 30525886950 31249249200 31512385800 31541098680 31699959525 32772881232 32811711660 32874032100 32967957906 33813290160 34138417950 34188993384 35045665200 35503954668 35613534775 36457457400 36631064340 38039951430 38462617557 39015334800 39426373350 39448838520 40701182600 40966101540 41014639575 42266612700 42736241730 43748948880 43832042800 43957277208 44379943335 45058712400 45517890600 45788830425 46873873800 47338606224 48841419120 49311048150 49451936859 50479556400 50719935240 51207626925 51283490076 52568497800 53255932002 54621468720 54686186100 54946596510 56355483600 56981655640 58523002200 59173257780 60863922288 61051773900 63024771600 63082197360 63399919050 64104362595 65623423320 65748064200 65935915812 68276835900 68377986768 71007909336 71227069550 72914914800 73262128680 73966572225 76079902860 76925235114 78852746700 78897677040 81402365200 81932203080 82029279150 82419894765 84533225400 85472483460 87914554416 88759886670 91035781200 91577660850 93747747600 95099878575 98622096300 98903873718 101439870480 102415253850 102566980152 105136995600 106511864004 106840604325 109372372200 109893193020 113963311280 115387852671 117046004400 118346515560 122103547800 126799838100 128208725190 131246846640 131496128400 131871831624 133139830005 136553671800 137366491275 142015818672 142454139100 146524257360 147933144450 152159805720 153850470228 157705493400 163864406160 164058558300 164839789530 169066450800 170944966920 177519773340 183155321700 190199757150 192313087785 197244192600 197807747436 204830507700 205133960304 213023728008 213681208650 218744744400 219786386040 221899716675 230775705342 236693031120 244207095600 247259684295 253599676200 256417450380 263743663248 266279660010 273107343600 274732982550 284908278200 295866288900 304319611440 307700940456 315410986800 320521812975 328117116600 329679579060 341889933840 346163558013 355039546680 366310643400 380399514300 384626175570 394488385200 395615494872 409661015400 412099473825 426047456016 427362417300 439572772080 443799433350 461551410684 494519368590 507199352400 512834900760 532559320020 549465965100 569816556400 576939263355 591732577800 615401880912 641043625950 656234233200 659359158120 665699150025 692327116026 710079093360 732621286800 760799028600 769252351140 791230989744 819322030800 824198947650 854724834600 887598866700 923102821368 961565438925 989038737180 1025669801520 1065118640040 1098931930200 1153878526710 1183465155600 1236298421475 1282087251900 1318718316240 1331398300050 1384654232052 1521598057200 1538504702280 1648397895300 1709449669200 1730817790065 1775197733400 1846205642736 1923130877850 1978077474360 2130237280080 2197863860400 2307757053420 2472596842950 2564174503800 2662796600100 2769308464104 2884696316775 3077009404560 3296795790600 3461635580130 3550395466800 3846261755700 3956154948720 4615514106840 4945193685900 5128349007600 5325593200200 5538616928208 5769392633550 6593591581200 6923271160260 7692523511400 8654088950325 9231028213680 9890387371800 10651186400400 11538785267100 13846542320520 15385047022800 17308177900650 19780774743600 23077570534200 27693084641040 34616355801300 46155141068400 69232711602600 138465423205200
- Sum of all divisors σ(n): 621269813964800
- Sum of proper divisors (its aliquot sum) s(n): 482804390759600
- 138465423205200 is an abundant number, because the sum of its proper divisors (482804390759600) is greater than itself. Its abundance is 344338967554400
Bases of 138465423205200
- Binary: 111110111101110111111100101110100100011010100002
- Hexadecimal: 0x7DEEFE5D2350
- Base-36: 1D2Y4XWL00
Squares and roots of 138465423205200
- 138465423205200 squared (1384654232052002) is 19172673423395138641307040000
- 138465423205200 cubed (1384654232052003) is 2654752339545498554592907015674124608000000
-
The
square root of 138465423205200 is 11767133.1769977007 -
The
cube root of 138465423205200 is 51734.5225971849
Scales and comparisons
How big is 138465423205200?- 138,465,423,205,200 seconds is equal to 4,402,772 years, 8 weeks, 21 hours.
-
To count from 1 to 138,465,423,205,200 would take you about eleven million, six thousand, nine hundred thirty 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 138465423205200 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138465423205200
- 138465423205200 backwards is 002502324564831
- 138465423205200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138465423205200's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 138465423205200 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 138465423205200 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138465423205200/
Chicago style:
Numbermatics. 2024. "Number 138465423205200 - Facts about the integer". https://numbermatics.com/n/138465423205200/
The information we have on file for 138465423205200 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!
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