138322060413680
138,322,060,413,680 is an even composite number composed of eight prime numbers multiplied together.
138322060413680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138322060413680:
24 × 5 × 113 × 13 × 17 × 61 × 173 × 557
(2 × 2 × 2 × 2 × 5 × 11 × 11 × 11 × 13 × 17 × 61 × 173 × 557)See below for interesting mathematical facts about the number 138322060413680 from the Numbermatics database.
Names of 138322060413680
- Cardinal: 138322060413680 can be written as One hundred thirty-eight trillion, three hundred twenty-two billion, sixty million, four hundred thirteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3832206041368 × 1014
Factors of 138322060413680
Divisors of 138322060413680
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 26 34 40 44 52 55 61 65 68 80 85 88 104 110 121 122 130 136 143 170 173 176 187 208 220 221 242 244 260 272 286 305 340 346 374 440 442 484 488 520 557 572 605 610 671 680 692 715 748 793 865 880 884 935 968 976 1037 1040 1105 1114 1144 1210 1220 1331 1342 1360 1384 1430 1496 1573 1586 1730 1768 1870 1903 1936 2057 2074 2210 2228 2249 2288 2420 2431 2440 2662 2684 2768 2785 2860 2941 2992 3146 3172 3355 3460 3536 3740 3806 3965 4114 4148 4420 4456 4498 4840 4862 4880 5185 5324 5368 5570 5720 5882 6127 6292 6344 6655 6710 6920 7241 7381 7480 7612 7865 7930 8228 8296 8723 8840 8912 8996 9469 9515 9680 9724 10285 10370 10553 10648 10736 11140 11245 11407 11440 11764 12155 12254 12584 12688 13310 13420 13481 13840 14482 14705 14762 14960 15224 15730 15860 16456 16592 17303 17446 17680 17992 18938 19030 19448 20570 20740 20933 21106 21296 22280 22490 22627 22814 23528 24310 24508 24739 25168 26620 26741 26840 26962 28964 29410 29524 30448 30635 31460 31720 32351 32912 33977 34606 34892 35984 36205 36905 37876 38060 38233 38896 41140 41480 41866 42212 43615 44560 44980 45254 45628 47056 47345 48620 49016 49478 52765 53240 53482 53680 53924 57035 57928 58820 59048 61270 62920 63440 64702 67397 67405 67954 69212 69784 72410 73810 75752 76120 76466 79651 81191 82280 82960 83732 84424 86515 87230 89960 90508 91256 94690 95953 96361 97240 98032 98956 104159 104665 105530 106480 106964 107848 113135 114070 115856 116083 117640 118096 122540 123097 123695 125477 125840 129404 133705 134794 134810 135908 137189 138424 139568 144820 147620 148291 151504 152240 152932 159302 161755 162382 164560 167464 168848 169885 173030 174460 179401 179920 181016 182512 189380 191165 191906 192722 194480 197912 208318 209330 211060 213928 215696 226270 228140 230263 232166 235280 245080 246194 247390 250954 258808 267410 269588 269620 271816 272129 274378 276848 289640 294151 295240 296582 305864 318604 323510 324764 334928 336985 339770 346060 348920 355861 358802 362032 373747 378760 382330 383812 385444 395824 398255 405955 416636 418660 420563 422120 427856 441701 452540 456280 460526 464332 479765 481805 490160 492388 494780 501908 517616 520795 534820 539176 539240 543632 544258 548756 577609 579280 580415 588302 590480 593164 611728 615485 627385 637208 647020 649528 673970 679540 685945 692120 697840 711722 717604 741367 741455 747494 757520 764660 767624 770888 796510 811910 833272 837320 841126 844240 876161 883402 897005 905080 912560 921052 928664 959530 963610 984776 989560 1003816 1041590 1055483 1059971 1069640 1078352 1078480 1088516 1097512 1145749 1151315 1155218 1160830 1176604 1186328 1230970 1252693 1254770 1274416 1276913 1294040 1299056 1347940 1354067 1359080 1360645 1371890 1380247 1384240 1423444 1435208 1470755 1482734 1482910 1494988 1509079 1529320 1535248 1541776 1593020 1623820 1631201 1638137 1666544 1674640 1682252 1752322 1766804 1779305 1794010 1810160 1842104 1857328 1868735 1919060 1927220 1969552 1973411 1979120 2007632 2083180 2102815 2110966 2119942 2139280 2177032 2195024 2208505 2291498 2302630 2310436 2321660 2332213 2353208 2372656 2461940 2505386 2509540 2553826 2588080 2695880 2708134 2718160 2721290 2743780 2760494 2846888 2870416 2888045 2941510 2965468 2965820 2989976 2993419 3018158 3058640 3186040 3247640 3262402 3276274 3364504 3504644 3533608 3558610 3588020 3684208 3706835 3737470 3838120 3854440 3914471 3946822 4111217 4166360 4205630 4221932 4239884 4354064 4380805 4417010 4582996 4605260 4620872 4626193 4643320 4664426 4706416 4858711 4923880 5010772 5019080 5107652 5277415 5299855 5391760 5416268 5442580 5487560 5520988 5693776 5728745 5776090 5878021 5883020 5930936 5931640 5979952 5986838 6036316 6263465 6353699 6372080 6384565 6495280 6524804 6552548 6729008 6770335 6901235 7009288 7067216 7117220 7176040 7413670 7474940 7508917 7545395 7676240 7708880 7828942 7893644 8156005 8190685 8222434 8332720 8411260 8443864 8479768 8761610 8834020 9165992 9210520 9241744 9252386 9286640 9328852 9637771 9717422 9847760 9867055 10021544 10038160 10215304 10554830 10599710 10832536 10885160 10975120 11041976 11457490 11552180 11659681 11661065 11756042 11766040 11861872 11863280 11973676 12072632 12526930 12603239 12707398 12769130 13049608 13105096 13540670 13779623 13802470 14018576 14046043 14234440 14352080 14827340 14894737 14949880 14967095 15017834 15090790 15657884 15787288 16312010 16381370 16444868 16599869 16822520 16887728 16959536 17523220 17668040 17943211 18019507 18331984 18421040 18504772 18657704 19275542 19434844 19572355 19734110 20043088 20430608 20556085 21109660 21199420 21295781 21665072 21707521 21770320 22083952 22914980 23104360 23130965 23319362 23322130 23512084 23532080 23947352 24145264 24293555 25053860 25206478 25414796 25538260 25654343 26099216 26210192 27081340 27559246 27604940 28092086 28468880 29390105 29654680 29789474 29899760 29934190 30035668 30181580 31315768 31574576 31768495 32624020 32762740 32889736 33199738 33645040 35046440 35336080 35886422 36039014 37009544 37315408 37544585 38551084 38869688 39144710 39468220 41112170 42219320 42398840 42591562 43415042 45223387 45829960 46208720 46261930 46638724 46644260 47024168 47894704 48188855 48587110 50107720 50412956 50829592 50888123 51076520 51308686 53445821 54162680 55118492 55209880 56184172 58298405 58780210 59309360 59578948 59868380 60071336 60363160 62631536 63016195 63536990 64658231 65248040 65525480 65779472 66399476 68898115 69890689 70092880 70230215 71772844 72078028 74019088 74473685 75089170 76414273 77102168 77739376 78289420 78936440 82224340 82598087 82999345 84438640 84797680 85183124 86830084 89716055 90097535 90446774 91659920 92523860 93277448 93288520 94048336 96377710 97174220 99926357 100215440 100825912 101659184 101776246 102153040 102617372 106478905 106891642 108325360 108537605 110236984 110419760 112368344 116596810 117560420 119157896 119736760 120142672 120726320 126032390 127073980 128256491 128271715 129316462 130496080 131050960 132798952 137796230 139781378 140460430 143545688 144156056 148947370 150178340 151575853 152828546 154204336 156578840 157872880 163842107 164448680 165196174 165998690 170366248 173660168 179432110 180195070 180893548 182598559 185047720 186554896 186577040 192755420 194348440 198214577 199852714 201651824 203552492 205234744 212957810 213783284 217075210 220473968 224736688 226116935 233193620 234253591 235120840 238315792 238782731 239473520 252064780 254147960 254440615 256512982 256543430 258632924 265597904 267229105 275592460 279562756 280920860 282197773 287091376 288312112 297894740 300356680 303151706 305657092 313157680 323291155 327684214 328897360 330392348 331997380 340732496 347320336 349453445 358864220 360390140 361787096 365197118 370095440 382071365 385510840 388696880 396429154 399705428 407104984 410469488 412990435 425915620 427566568 434150420 452233870 466387240 468507182 470241680 477565462 499631785 504129560 508295920 508881230 513025964 513086860 517265848 534458210 551184920 559125512 561841720 564395546 587904031 595789480 600713360 606303412 611314184 641282455 646582310 655368428 660784696 663994760 698906890 711240541 717728440 720780280 723574192 730394236 757879265 764142730 768797579 771021680 792858308 799410856 814209968 819210535 825980870 840557003 851831240 855133136 868300840 904467740 908578957 912992795 932774480 937014364 955130924 991072885 999263570 1008259120 1017762460 1026051928 1026173720 1034531696 1068916420 1099189927 1102369840 1118251024 1123683440 1128791092 1171267955 1175808062 1191578960 1193913655 1212606824 1222628368 1282564910 1293164620 1299042641 1310736856 1321569392 1327989520 1397813780 1410988865 1422481082 1435456880 1441560560 1460788472 1515758530 1528285460 1537595158 1585716616 1598821712 1638421070 1651961740 1667334383 1681114006 1703662480 1736601680 1808935480 1817157914 1825985590 1874028728 1910261848 1982145770 1998527140 2035524920 2052103856 2052347440 2137832840 2180360347 2198379854 2257582184 2342535910 2351616124 2387827310 2425213648 2565129820 2576789501 2586329240 2598085282 2621473712 2795627560 2821977730 2844962164 2921576944 2939520155 3031517060 3056570920 3075190316 3104175503 3171433232 3276842140 3303923480 3334668766 3362228012 3556202705 3617870960 3634315828 3651971180 3748057456 3820523696 3843987895 3964291540 3997054280 4071049840 4202785015 4275665680 4360720694 4396759708 4515164368 4542894785 4685071820 4703232248 4775654620 5130259640 5153579002 5172658480 5196170564 5495949635 5591255120 5643955460 5689924328 5879040310 6063034120 6113141840 6150380632 6208351006 6495213205 6553684280 6607846960 6669337532 6724456024 7112405410 7268631656 7303942360 7687975790 7823645951 7928583080 7994108560 8336671915 8405570030 8721441388 8793519416 9085789570 9246127033 9370143640 9406464496 9551309240 9994368527 10260519280 10307158004 10392341128 10901801735 10991899270 11287910920 11379848656 11758080620 12091089197 12126068240 12300761264 12416702012 12883947505 12990426410 13107368560 13338675064 13448912048 14224810820 14289469051 14537263312 14607884720 15375951580 15520877515 15647291902 15857166160 16673343830 16811140060 17442882776 17587038832 18171579140 18492254066 18740287280 19102618480 19988737054 20614316008 20784682256 21803603470 21983798540 22575821840 23516161240 24182178394 24833404024 25767895010 25980852820 26677350128 28344684511 28449621640 28578938102 30751903160 31041755030 31294583804 33346687660 33622280120 34885765552 36343158280 36984508132 39118229755 39977474108 41228632016 43607206940 43967597080 46230635165 47032322480 48364356788 49666808048 49971842635 51535790020 51961705640 56689369022 56899243280 57157876204 60455445985 61503806320 62083510060 62589167608 66693375320 67244560240 71447345255 72686316560 73969016264 78236459510 79954948216 87214413880 87935194160 92461270330 96728713576 99943685270 101707397363 103071580040 103923411280 113378738044 114315752408 120910891970 124167020120 125178335216 133001981167 133386750640 141723422555 142894690510 147938032528 156472919020 157184159561 159909896432 174428827760 184922540660 193457427152 199887370540 203414794726 206143160080 226757476088 228631504816 241821783940 248334040240 266003962334 283446845110 285789381020 312945838040 314368319122 369845081320 399774741080 406829589452 453514952176 483643567880 508536986815 532007924668 566893690220 571578762040 625891676080 628736638244 665009905835 739690162640 785920797805 799549482160 813659178904 967287135760 1017073973630 1064015849336 1133787380440 1143157524080 1257473276488 1330019811670 1571841595610 1627318357808 1729025755171 2034147947260 2128031698672 2267574760880 2514946552976 2660039623340 3143683191220 3458051510342 4068295894520 5320079246680 6287366382440 6916103020684 8136591789040 8645128775855 10640158493360 12574732764880 13832206041368 17290257551710 27664412082736 34580515103420 69161030206840 138322060413680
- Sum of all divisors σ(n): 413075748460032
- Sum of proper divisors (its aliquot sum) s(n): 274753688046352
- 138322060413680 is an abundant number, because the sum of its proper divisors (274753688046352) is greater than itself. Its abundance is 136431627632672
Bases of 138322060413680
- Binary: 111110111001101100111010100011010001010111100002
- Hexadecimal: 0x7DCD9D468AF0
- Base-36: 1D149ZEF3K
Squares and roots of 138322060413680
- 138322060413680 squared (1383220604136802) is 19132992397085739732731142400
- 138322060413680 cubed (1383220604136803) is 2646514930244173811281649855557562988032000
-
The
square root of 138322060413680 is 11761039.9375939541 -
The
cube root of 138322060413680 is 51716.6616598017
Scales and comparisons
How big is 138322060413680?- 138,322,060,413,680 seconds is equal to 4,398,213 years, 34 weeks, 3 days, 7 hours, 21 minutes, 20 seconds.
-
To count from 1 to 138,322,060,413,680 would take you about ten million, nine hundred ninety-five thousand, five hundred thirty-four 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 138322060413680 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138322060413680
- 138322060413680 backwards is 086314060223831
- The number of decimal digits it has is: 15
- The sum of 138322060413680's digits is 47
- 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 138322060413680 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 138322060413680 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138322060413680/
Chicago style:
Numbermatics. 2024. "Number 138322060413680 - Facts about the integer". https://numbermatics.com/n/138322060413680/
The information we have on file for 138322060413680 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 138322060413680, math, Factors of 138322060413680, curriculum, school, college, exams, university, Prime factorization of 138322060413680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred twenty-two billion, sixty million, four hundred thirteen thousand, six hundred eighty.