138076284600800
138,076,284,600,800 is an even composite number composed of seven prime numbers multiplied together.
138076284600800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138076284600800:
25 × 52 × 73 × 13 × 31 × 151 × 8269
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 13 × 31 × 151 × 8269)See below for interesting mathematical facts about the number 138076284600800 from the Numbermatics database.
Names of 138076284600800
- Cardinal: 138076284600800 can be written as One hundred thirty-eight trillion, seventy-six billion, two hundred eighty-four million, six hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380762846008 × 1014
Factors of 138076284600800
Divisors of 138076284600800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 49 50 52 56 62 65 70 80 91 98 100 104 112 124 130 140 151 155 160 175 182 196 200 208 217 224 245 248 260 280 302 310 325 343 350 364 392 400 403 416 434 455 490 496 520 560 604 620 637 650 686 700 728 755 775 784 800 806 868 910 980 992 1040 1057 1085 1120 1208 1225 1240 1274 1300 1372 1400 1456 1510 1519 1550 1568 1612 1715 1736 1820 1960 1963 2015 2080 2114 2170 2275 2416 2450 2480 2548 2600 2744 2800 2821 2912 3020 3038 3100 3185 3224 3430 3472 3640 3775 3920 3926 4030 4228 4340 4459 4550 4681 4832 4900 4960 5096 5200 5285 5425 5488 5600 5642 6040 6076 6200 6370 6448 6860 6944 7280 7399 7550 7595 7840 7852 8060 8269 8456 8575 8680 8918 9100 9362 9800 9815 10075 10192 10400 10570 10633 10850 10976 11284 12080 12152 12400 12740 12896 13720 13741 14105 14560 14798 15100 15190 15704 15925 16120 16538 16912 17150 17360 17836 18200 18724 19600 19630 19747 20150 20384 21140 21266 21700 22295 22568 23405 24160 24304 24800 25480 26425 27440 27482 28210 29596 30200 30380 31408 31850 32240 32767 33076 33824 34300 34720 35672 36400 36995 37448 37975 39200 39260 39494 40300 41345 42280 42532 43400 44590 45136 46810 48608 49075 50960 51793 52850 53165 54880 54964 56420 57883 59192 60400 60760 60853 62816 63700 64480 65534 66152 68600 68705 70525 71344 72800 73990 74896 75950 78520 78988 80600 82690 84560 85064 86800 89180 90272 93620 96187 98150 98735 101920 103586 105700 106330 107497 109928 111475 112840 115766 117025 118384 120800 121520 121706 127400 131068 132304 137200 137410 138229 141050 142688 147980 149792 151900 157040 157976 161200 163835 165380 169120 170128 173600 178360 184975 187240 192374 196300 197470 206725 207172 211400 212660 214994 219856 222950 225680 229369 231532 234050 236768 243040 243412 254800 256339 258965 262136 264608 265825 274400 274820 276458 282100 289415 295960 303800 304265 314080 315952 322400 327670 330760 340256 343525 356720 369950 374480 384748 392600 394940 405181 413450 414344 422800 425320 425971 429988 439712 445900 451360 458738 463064 468100 480935 486824 493675 509600 512678 517930 524272 531650 537485 549640 552916 564200 578830 591920 607600 608530 631904 655340 661520 673309 687050 691145 713440 739900 748960 752479 769496 785200 789880 810362 819175 826900 828688 845600 850640 851942 859976 891800 917476 926128 936200 961870 973648 987350 1025356 1035860 1048544 1063300 1074970 1099280 1105832 1128400 1146845 1157660 1183840 1215200 1217060 1248619 1281695 1294825 1310680 1323040 1346618 1374100 1382290 1447075 1479800 1504958 1521325 1538992 1570400 1579760 1605583 1620724 1638350 1653800 1657376 1701280 1703884 1719952 1783600 1794373 1834952 1852256 1872400 1923740 1947296 1974700 2025905 2050712 2071720 2126600 2129855 2149940 2198560 2211664 2256800 2293690 2315320 2404675 2434120 2497238 2563390 2589650 2621360 2687425 2693236 2748200 2764580 2836267 2894150 2959600 2981797 3009916 3042650 3077984 3159520 3211166 3241448 3276700 3307600 3332407 3366545 3407768 3439904 3455725 3567200 3588746 3669904 3744800 3762395 3847480 3949400 4051810 4101424 4143440 4253200 4259710 4299880 4423328 4587380 4630640 4809350 4868240 4994476 5126780 5179300 5242720 5267353 5374850 5386472 5496400 5529160 5672534 5734225 5788300 5919200 5963594 6019832 6085300 6243095 6408475 6422332 6482896 6553400 6615200 6664814 6733090 6815536 6911450 7177492 7339808 7524790 7694960 7898800 8027915 8103620 8202848 8286880 8506400 8519420 8599760 8740333 8971865 9174760 9261280 9618700 9736480 9988952 10129525 10253560 10358600 10534706 10649275 10749700 10772944 10992800 11058320 11345068 11468450 11576600 11927188 12039664 12170600 12486190 12560611 12816950 12844664 12965792 13106800 13329628 13466180 13631072 13822900 14181335 14354984 14908985 15049580 15389920 15797600 16055830 16207240 16232047 16662035 16832725 17038840 17199520 17480666 17943730 18349520 18811975 19237400 19977904 20259050 20507120 20717200 20872579 21069412 21298550 21499400 21545888 22116640 22690136 22936900 23153200 23326849 23854376 24079328 24341200 24972380 25121222 25633900 25689328 26213600 26336765 26659256 26932360 27645800 28362670 28709968 29817970 30099160 31215475 32111660 32414480 32464094 33324070 33665450 34077680 34961332 35887460 36699040 36871471 37623950 38474800 38707189 39955808 40139575 40518100 41014240 41434400 41745158 42138824 42597100 42998800 43701665 44859325 45380272 45873800 46306400 46653698 47708752 48682400 49944760 50242444 51267800 51378656 52673530 53318512 53864720 55291600 56725340 57419936 59635940 60198320 61182331 62430950 62803055 64223320 64828960 64928188 66648140 67330900 68155360 69922664 70906675 71774920 73742942 74544925 75247900 76949600 77414378 80279150 81036200 81160235 83310175 83490316 84277648 85194200 85997600 87403330 87924277 89718650 90760544 91747600 93307396 95417504 99889520 100484888 102535600 104362895 105347060 106637024 107729440 110583200 113450680 113624329 116634245 119271880 120396640 122364662 124861900 125606110 128446640 129856376 131683825 133296280 134661800 139845328 141813350 143549840 147485884 149089850 150495800 154828756 160558300 162072400 162320470 163287943 166620350 166980632 168555296 170388400 174806660 175848554 179437300 183495200 184357355 186614792 193535945 199779040 200969776 205071200 208725790 210694120 218508325 226901360 227248658 233268490 238543760 244729324 249723800 251212220 256893280 259712752 263367650 266592560 269323600 270950323 279690656 283626700 287099680 294971768 298179700 300991600 305911655 309657512 314015275 321116600 324144800 324640940 326575886 333240700 333961264 340776800 349613320 351697108 358874600 368714710 373229584 387071890 401939552 405801175 417451580 421388240 428276317 437016650 439621385 453802720 454497316 466536980 477087520 489458648 499447600 502424440 503193457 519425504 521814475 526735300 533185120 538647200 541900646 567253400 568121645 583171225 589943536 596359400 601983200 611823310 619315024 628030550 642233200 649281880 653151772 666481400 667922528 699226640 703394216 717749200 737429420 746459168 774143780 795370303 811602350 816439715 834903160 842776480 856552634 874033300 879242770 908994632 921786775 933073960 967679725 978917296 998895200 1004848880 1006386914 1043628950 1053470600 1083801292 1134506800 1136243290 1143015601 1166342450 1179887072 1192718800 1223646620 1238630048 1256061100 1284466400 1298563760 1306303544 1332962800 1354751615 1398453280 1406788432 1435498400 1474858840 1529558275 1548287560 1590740606 1623204700 1632879430 1669806320 1713105268 1748066600 1758485540 1817989264 1843573550 1866147920 1896652261 1935359450 1957834592 2009697760 2012773828 2087257900 2106941200 2141381585 2167602584 2198106925 2269013600 2272486580 2286031202 2332684900 2385437600 2447293240 2512122200 2515967285 2597127520 2612607088 2665925600 2709503230 2813576864 2840608225 2949717680 3059116550 3096575120 3181481212 3246409400 3265758860 3339612640 3426210536 3496133200 3516971080 3522354199 3635978528 3687147100 3732295840 3793304522 3870718900 3976851515 4025547656 4082198575 4174515800 4213882400 4282763170 4335205168 4396213850 4544973160 4572062404 4665369800 4894586480 5024244400 5031934570 5225214176 5419006460 5567592121 5681216450 5715078005 5899435360 6118233100 6193150240 6362962424 6492818800 6531517720 6773758075 6852421072 6992266400 7033942160 7044708398 7374294200 7586609044 7741437800 7953703030 8051095312 8164397150 8349031600 8565526340 8670410336 8792427700 9089946320 9144124808 9330739600 9483261305 9789172960 10048488800 10063869140 10706907925 10838012920 11135184242 11362432900 11430156010 12236466200 12579836425 12725924848 12985637600 13063035440 13276565827 13547516150 13704842144 14067884320 14089416796 14748588400 15173218088 15482875600 15907406060 16102190624 16328794300 16698063200 17131052680 17584855400 17611770995 18179892640 18288249616 18661479200 18966522610 19884257575 20127738280 21413815850 21676025840 22270368484 22724865800 22860312020 24472932400 24656479393 25159672850 25451849696 26126070880 26553131654 27095032300 27837960605 28178833592 28575390025 29497176800 30346436176 30965751200 31814812120 32657588600 34262105360 35169710800 35223541990 36576499232 37933045220 39768515150 40255476560 42827631700 43352051680 44540736968 45449731600 45720624040 47416306525 48945864800 49312958786 50319345700 53106263308 54190064600 55675921210 56357667184 57150780050 60692872352 63629624240 65315177200 66382829135 68524210720 70339421600 70447083980 75866090440 79537030300 80510953120 85655263400 88058854975 89081473936 90899463200 91441248080 94832613050 98625917572 100638691400 106212526616 108380129200 111351842420 112715334368 114301560100 123282396965 127259248480 130630354400 132765658270 139189803025 140894167960 151732180880 159074060600 171310526800 172595355751 176117709950 178162947872 182882496160 189665226100 197251835144 201277382800 212425053232 216760258400 222703684840 228603120200 246564793930 265531316540 278379606050 281788335920 303464361760 318148121200 331914145675 342621053600 345190711502 352235419900 379330452200 394503670288 402554765600 424850106464 445407369680 457206240400 493129587860 531062633080 556759212100 563576671840 616411984825 636296242400 663828291350 690381423004 704470839800 758660904400 789007340576 862976778755 890814739360 914412480800 986259175720 1062125266160 1113518424200 1232823969650 1327656582700 1380762846008 1408941679600 1517321808800 1725953557510 1972518351440 2124250532320 2227036848400 2465647939300 2655313165400 2761525692016 2817883359200 3451907115020 3945036702880 4314883893775 4454073696800 4931295878600 5310626330800 5523051384032 6903814230040 8629767787550 9862591757200 10621252661600 13807628460080 17259535575100 19725183514400 27615256920160 34519071150200 69038142300400 138076284600800
- Sum of all divisors σ(n): 439935842304000
- Sum of proper divisors (its aliquot sum) s(n): 301859557703200
- 138076284600800 is an abundant number, because the sum of its proper divisors (301859557703200) is greater than itself. Its abundance is 163783273102400
Bases of 138076284600800
- Binary: 111110110010100011000111110010101000001111000002
- Hexadecimal: 0x7D9463E541E0
- Base-36: 1CXZDATS68
Squares and roots of 138076284600800
- 138076284600800 squared (1380762846008002) is 19065060369161119215360640000
- 138076284600800 cubed (1380762846008003) is 2632432701463723808329993315650432512000000
-
The
square root of 138076284600800 is 11750586.5641167037 -
The
cube root of 138076284600800 is 51686.0128000653
Scales and comparisons
How big is 138076284600800?- 138,076,284,600,800 seconds is equal to 4,390,398 years, 39 weeks, 20 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,076,284,600,800 would take you about ten million, nine hundred seventy-five thousand, nine hundred ninety-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 138076284600800 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138076284600800
- 138076284600800 backwards is 008006482670831
- The number of decimal digits it has is: 15
- The sum of 138076284600800's digits is 53
- More coming soon!
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The information we have on file for 138076284600800 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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