138213257431200
138,213,257,431,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138213257431200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138213257431200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138213257431200:
25 × 3 × 52 × 7 × 17 × 31 × 127 × 122921
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 31 × 127 × 122921)See below for interesting mathematical facts about the number 138213257431200 from the Numbermatics database.
Names of 138213257431200
- Cardinal: 138213257431200 can be written as One hundred thirty-eight trillion, two hundred thirteen billion, two hundred fifty-seven million, four hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.382132574312 × 1014
Factors of 138213257431200
Divisors of 138213257431200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 31 32 34 35 40 42 48 50 51 56 60 62 68 70 75 80 84 85 93 96 100 102 105 112 119 120 124 127 136 140 150 155 160 168 170 175 186 200 204 210 217 224 238 240 248 254 255 272 280 300 310 336 340 350 357 372 381 400 408 420 425 434 465 476 480 496 508 510 525 527 544 560 595 600 620 635 651 672 680 700 714 744 762 775 800 816 840 850 868 889 930 952 992 1016 1020 1050 1054 1085 1120 1190 1200 1240 1270 1275 1302 1360 1400 1428 1488 1524 1550 1581 1632 1680 1700 1736 1778 1785 1860 1904 1905 2032 2040 2100 2108 2159 2170 2325 2380 2400 2480 2540 2550 2604 2635 2667 2720 2800 2856 2975 2976 3048 3100 3162 3175 3255 3360 3400 3472 3556 3570 3689 3720 3808 3810 3937 4064 4080 4200 4216 4318 4340 4445 4650 4760 4960 5080 5100 5208 5270 5334 5425 5600 5712 5950 6096 6200 6324 6350 6477 6510 6800 6944 7112 7140 7378 7440 7620 7874 7905 8160 8400 8432 8636 8680 8890 8925 9300 9520 9525 10160 10200 10416 10540 10668 10795 10850 11067 11424 11811 11900 12192 12400 12648 12700 12954 13020 13175 13335 13600 14224 14280 14756 14880 15113 15240 15748 15810 16275 16800 16864 17272 17360 17780 17850 18445 18600 19040 19050 19685 20320 20400 20832 21080 21336 21590 21700 22134 22225 23622 23800 24800 25296 25400 25908 26040 26350 26670 27559 28448 28560 29512 30226 30480 31496 31620 32385 32550 34544 34720 35560 35700 36890 37200 38100 39370 39525 40800 42160 42672 43180 43400 44268 44450 45339 47244 47600 50592 50800 51816 52080 52700 53340 53975 55118 55335 57120 59024 59055 60452 60960 62992 63240 64770 65100 66675 66929 69088 71120 71400 73780 74400 75565 76200 78740 79050 82677 84320 85344 86360 86800 88536 88900 90678 92225 94488 95200 98425 101600 103632 104160 105400 106680 107950 110236 110670 118048 118110 120904 122921 125984 126480 129540 130200 133350 133858 137795 142240 142800 147560 151130 152400 157480 158100 161925 165354 172720 173600 177072 177800 181356 184450 188976 196850 200787 207264 210800 213360 215900 220472 221340 226695 236220 241808 245842 252960 259080 260400 266700 267716 275590 276675 285600 295120 295275 302260 304800 314960 316200 323850 330708 334645 345440 354144 355600 362712 368763 368900 377825 377952 393700 401574 413385 421600 426720 431800 440944 442680 453390 468503 472440 483616 491684 518160 520800 533400 535432 551180 553350 590240 590550 604520 614605 629920 632400 647700 661416 669290 688975 711200 725424 737526 737800 755650 787400 803148 826770 860447 863600 881888 885360 906780 937006 944880 983368 1003935 1036320 1066800 1070864 1102360 1106700 1133475 1181100 1209040 1229210 1264800 1295400 1322832 1338580 1377950 1405509 1450848 1475052 1475600 1511300 1574800 1606296 1653540 1673225 1720894 1727200 1770720 1813560 1843815 1874012 1889760 1966736 2007870 2066925 2089657 2133600 2141728 2204720 2213400 2266950 2342515 2362200 2418080 2458420 2581341 2590800 2645664 2677160 2755900 2811018 2950104 2951200 3022600 3073025 3149600 3212592 3307080 3346450 3441788 3627120 3687630 3748024 3810551 3933472 4015740 4133850 4179314 4302235 4409440 4426800 4533900 4685030 4724400 4916840 5019675 5162682 5181600 5354320 5511800 5622036 5900208 6045200 6146050 6268971 6425184 6614160 6692900 6883576 7027545 7254240 7375260 7496048 7621102 8031480 8267700 8358628 8604470 8853600 9067800 9219075 9370060 9448800 9833680 10039350 10325364 10448285 10708640 11023600 11244072 11431653 11712575 11800416 12090400 12292100 12537942 12906705 13228320 13385800 13767152 14055090 14627599 14750520 14992096 15242204 15610967 16062960 16535400 16717256 17208940 18135600 18438150 18740120 19052755 19667360 20078700 20650728 20896570 21511175 22047200 22488144 22863306 23425150 24584200 25075884 25813410 26673857 26771600 27534304 28110180 29255198 29501040 30484408 31221934 31344855 32125920 33070800 33434512 34417880 35137725 36271200 36876300 37480240 38105510 40157400 41301456 41793140 43022350 43882797 44976288 45726612 46832901 46850300 49168400 50151768 51626820 52241425 53347714 53543200 56220360 57158265 58510396 59002080 60968816 62443868 62689710 64533525 64779367 66141600 66869024 68835760 70275450 73137995 73752600 74960480 76211020 78054835 80021571 80314800 82602912 83586280 86044700 87765594 91453224 93665802 93700600 95263775 98336800 100303536 103253640 104482850 106695428 109276769 112440720 114316530 117020792 121937632 124887736 125379420 129067050 129558734 133369285 137671520 140550900 146275990 147505200 152422040 156109670 156724275 160043142 160629600 167172560 172089400 175531188 182906448 187331604 187401200 190527550 194338101 200607072 206507280 208965700 213390856 218553538 219413985 224881440 228633060 234041584 234164505 249775472 250758840 258134100 259117468 265386439 266738570 281101800 285791325 292551980 295010400 304844080 312219340 313448550 320086284 323896835 327830307 334345120 344178800 351062376 365689975 365812896 374663208 374802400 381055100 388676202 390274175 400107855 413014560 417931400 426781712 437107076 438827970 453455569 457266120 468083168 468329010 483939977 499550944 501517680 516268200 518234936 530772878 533477140 546383845 562203600 571582650 585103960 609688160 624438680 626897100 640172568 647793670 655660614 666846425 688357600 702124752 731379950 749326416 762110200 777352404 780548350 796159317 800215710 835862800 853563424 874214152 877655940 906911138 914532240 936658020 967879954 971690505 1003035360 1032536400 1036469872 1061545756 1066954280 1092767690 1097069925 1124407200 1143165300 1170207920 1170822525 1248877360 1253794200 1280345136 1295587340 1311321228 1326932195 1333692850 1360366707 1404249504 1451819931 1462759900 1498652832 1524220400 1554704808 1561096700 1592318634 1600431420 1619484175 1639151535 1671725600 1748428304 1755311880 1813822276 1829064480 1857705073 1873316040 1935759908 1943381010 2000539275 2065072800 2072939744 2123091512 2133908560 2185535380 2194139850 2267277845 2286330600 2340415840 2341645050 2419699885 2497754720 2507588400 2560690272 2591174680 2622642456 2653864390 2667385700 2720733414 2731919225 2903639862 2925519800 3048440800 3109409616 3122193400 3184637268 3200862840 3238968350 3278303070 3387579839 3496856608 3510623760 3627644552 3715410146 3746632080 3871519816 3886762020 3980796585 4001078550 4246183024 4267817120 4371070760 4388279700 4534555690 4572661200 4683290100 4839399770 4858452525 5015176800 5182349360 5245284912 5307728780 5334771400 5441466828 5463838450 5573115219 5807279724 5851039600 6218819232 6244386800 6369274536 6401725680 6477936700 6556606140 6634660975 6775159678 6801833535 7021247520 7255289104 7259099655 7430820292 7493264160 7743039632 7773524040 7961593170 8002157100 8195757675 8226979609 8492366048 8742141520 8776559400 9069111380 9145322400 9288525365 9366580200 9678799540 9716905050 10162739517 10364698720 10490569824 10615457560 10669542800 10882933656 10927676900 11146230438 11336389225 11614559448 11702079200 12098499425 12488773600 12738549072 12803451360 12955873400 13113212280 13269321950 13550319356 13603667070 14510578208 14518199310 14861640584 15486079264 15547048080 15923186340 16004314200 16391515350 16453959218 16937899195 17484283040 17553118800 18138222760 18577050730 18733160400 19357599080 19433810100 19903982925 20325479034 21230915120 21339085600 21765867312 21855353800 22292460876 22672778450 23229118896 24196998850 24680938827 25477098144 25911746800 26226424560 26538643900 27100638712 27207334140 27865576095 29036398620 29723281168 31094096160 31846372680 32008628400 32783030700 32907918436 33875798390 34009167675 35106237600 36276445520 36295498275 37154101460 37466320800 38715198160 38867620200 39807965850 40650958068 41134898045 42461830240 43531734624 43710707600 44584921752 45345556900 46442626825 46458237792 48393997700 49361877654 50813697585 51823493600 52452849120 53077287800 54201277424 54414668280 55731152190 57588857263 58072797240 59446562336 63692745360 64017256800 65566061400 65815836872 67751596780 68018335350 72552891040 72590996550 74308202920 77430396320 77735240400 79615931700 81301916136 82269796090 84689495975 87421415200 89169843504 90691113800 92885253650 96787995400 98723755308 101627395170 106154575600 108402554848 108829336560 111462304380 115177714526 116145594480 123404694135 127385490720 131132122800 131631673744 135503193560 136036670700 139327880475 145181993100 148616405840 155470480800 159231863400 162603832272 164539592180 169378991950 172766571789 178339687008 181382227600 185770507300 193575990800 197447510616 203254790340 205674490225 212309151200 217658673120 222924608760 230355429052 232291188960 246809388270 254068487925 262264245600 263263347488 271006387120 272073341400 278655760950 287944286315 290363986200 297232811680 318463726800 325207664544 329079184360 338757983900 345533143578 362764455200 371541014600 387151981600 394895021232 406509580680 411348980450 445849217520 460710858104 493618776540 508136975850 542012774240 544146682800 557311521900 575888572630 580727972400 617023470675 636927453600 658158368720 677515967800 691066287156 743082029200 789790042464 813019161360 822697960900 863832858945 891698435040 921421716208 987237553080 1016273951700 1088293365600 1114623043800 1151777145260 1161455944800 1234046941350 1316316737440 1355031935600 1382132574312 1439721431575 1486164058400 1626038322720 1645395921800 1727665717890 1842843432416 1974475106160 2032547903400 2229246087600 2303554290520 2468093882700 2710063871200 2764265148624 2879442863150 3290791843600 3455331435780 3948950212320 4065095806800 4319164294725 4458492175200 4607108581040 4936187765400 5528530297248 5758885726300 6581583687200 6910662871560 8130191613600 8638328589450 9214217162080 9872375530800 11517771452600 13821325743120 17276657178900 19744751061600 23035542905200 27642651486240 34553314357800 46071085810400 69106628715600 138213257431200
- Sum of all divisors σ(n): 566388324827136
- Sum of proper divisors (its aliquot sum) s(n): 428175067395936
- 138213257431200 is an abundant number, because the sum of its proper divisors (428175067395936) is greater than itself. Its abundance is 289961809964736
Bases of 138213257431200
- Binary: 111110110110100010010000001110011001000101000002
- Hexadecimal: 0x7DB4481CC8A0
- Base-36: 1CZQAKWWIO
Squares and roots of 138213257431200
- 138213257431200 squared (1382132574312002) is 19102904529743162022733440000
- 138213257431200 cubed (1382132574312003) is 2640274661453028229865948249416739328000000
-
The
square root of 138213257431200 is 11756413.4595207223 -
The
cube root of 138213257431200 is 51703.0981375279
Scales and comparisons
How big is 138213257431200?- 138,213,257,431,200 seconds is equal to 4,394,754 years, 3 weeks, 2 days, 12 hours, 40 minutes.
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To count from 1 to 138,213,257,431,200 would take you about ten million, nine hundred eighty-six thousand, eight hundred eighty-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 138213257431200 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138213257431200
- 138213257431200 backwards is 002134752312831
- 138213257431200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138213257431200's digits is 42
- More coming soon!
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The information we have on file for 138213257431200 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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