138345292800

Names of 138345292800

• Cardinal: 138345292800 can be written as One hundred thirty-eight billion, three hundred forty-five million, two hundred ninety-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.383452928 × 10¹¹

Factors of 138345292800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 70

Divisors of 138345292800

• Number of divisors d(n): 2376
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 19 20 22 24 25 26 30 32 33 34 36 38 39 40 44 45 48 50 51 52 55 57 60 64 65 66 68 72 75 76 78 80 85 88 90 95 96 99 100 102 104 110 114 117 120 128 130 132 136 143 144 150 152 153 156 160 165 169 170 171 176 180 187 190 192 195 198 200 204 208 209 220 221 225 228 234 240 247 255 256 260 264 272 275 285 286 288 300 304 306 312 320 323 325 330 338 340 342 352 360 374 380 384 390 396 400 408 416 418 425 429 440 442 450 456 468 475 480 494 495 507 510 512 520 528 544 550 561 570 572 576 585 600 608 612 624 627 640 646 650 660 663 676 680 684 704 715 720 741 748 760 765 768 780 792 800 816 825 832 836 845 850 855 858 880 884 900 912 935 936 950 960 969 975 988 990 1014 1020 1024 1040 1045 1056 1088 1100 1105 1122 1140 1144 1152 1170 1200 1216 1224 1235 1248 1254 1275 1280 1287 1292 1300 1320 1326 1352 1360 1368 1408 1425 1430 1440 1482 1496 1520 1521 1530 1536 1560 1584 1600 1615 1632 1650 1664 1672 1683 1690 1700 1710 1716 1760 1768 1800 1824 1859 1870 1872 1881 1900 1920 1938 1950 1976 1980 1989 2028 2040 2080 2090 2112 2145 2176 2200 2210 2223 2244 2280 2288 2304 2340 2400 2431 2432 2448 2470 2475 2496 2508 2535 2550 2560 2574 2584 2600 2640 2652 2704 2717 2720 2736 2805 2816 2850 2860 2873 2880 2907 2925 2964 2992 3040 3042 3060 3072 3120 3135 3168 3200 3211 3230 3264 3300 3315 3328 3344 3366 3380 3400 3420 3432 3520 3536 3553 3575 3600 3648 3705 3718 3740 3744 3762 3800 3825 3840 3876 3900 3952 3960 3978 4056 4080 4160 4180 4199 4224 4225 4275 4290 4352 4400 4420 4446 4488 4560 4576 4608 4675 4680 4800 4845 4862 4864 4896 4940 4950 4992 5016 5070 5100 5120 5148 5168 5200 5225 5280 5304 5408 5434 5440 5472 5525 5577 5610 5632 5700 5720 5746 5760 5814 5850 5928 5984 6080 6084 6120 6175 6240 6270 6336 6400 6422 6435 6460 6528 6600 6630 6656 6688 6732 6760 6800 6840 6864 7040 7072 7106 7150 7200 7293 7296 7410 7436 7480 7488 7524 7600 7605 7650 7680 7752 7800 7904 7920 7956 8075 8112 8151 8160 8320 8360 8398 8415 8448 8450 8550 8580 8619 8704 8800 8840 8892 8976 9120 9152 9216 9295 9350 9360 9405 9600 9633 9690 9724 9728 9792 9880 9900 9945 9984 10032 10140 10200 10296 10336 10400 10450 10560 10608 10659 10725 10816 10868 10880 10944 11050 11115 11154 11220 11264 11400 11440 11492 11520 11628 11700 11856 11968 12155 12160 12168 12240 12350 12480 12540 12597 12672 12675 12800 12844 12870 12920 13056 13200 13260 13312 13376 13464 13520 13585 13600 13680 13728 14025 14080 14144 14212 14300 14365 14400 14535 14586 14592 14820 14872 14960 14976 15048 15200 15210 15300 15360 15504 15600 15675 15808 15840 15912 16055 16150 16224 16302 16320 16575 16640 16720 16731 16796 16830 16896 16900 17100 17160 17238 17408 17600 17680 17765 17784 17952 18240 18304 18525 18590 18700 18720 18810 19200 19266 19380 19448 19456 19584 19760 19800 19890 19968 20064 20280 20400 20592 20672 20800 20900 20995 21120 21216 21318 21450 21632 21736 21760 21879 21888 22100 22230 22308 22440 22800 22880 22984 23040 23256 23400 23712 23936 24225 24310 24320 24336 24453 24480 24700 24960 25080 25194 25344 25350 25600 25688 25740 25840 25857 26112 26400 26520 26752 26928 27040 27170 27200 27360 27456 27885 28050 28160 28288 28424 28600 28730 28800 28899 29070 29172 29184 29640 29744 29920 29952 30096 30400 30420 30600 31008 31200 31350 31603 31616 31680 31824 31977 32110 32175 32300 32448 32604 32640 33150 33280 33440 33462 33592 33660 33792 33800 34200 34320 34476 35200 35321 35360 35530 35568 35904 36465 36480 36608 37050 37180 37400 37440 37620 37791 38025 38400 38532 38760 38896 39168 39520 39600 39780 39936 40128 40560 40755 40800 41184 41344 41600 41800 41990 42075 42240 42432 42636 42900 43095 43264 43472 43520 43758 43776 44200 44460 44616 44880 45600 45760 45968 46080 46189 46475 46512 46800 47025 47424 47872 48165 48450 48620 48640 48672 48906 48960 49400 49725 49920 50160 50388 50688 50700 51376 51480 51680 51714 52224 52800 53040 53295 53504 53856 54080 54340 54400 54587 54720 54912 55575 55770 56100 56320 56576 56848 57200 57460 57600 57798 58140 58344 58368 59280 59488 59840 59904 60192 60775 60800 60840 61200 62016 62400 62700 62985 63206 63232 63360 63648 63954 64220 64350 64600 64896 65208 65280 66300 66560 66880 66924 67184 67320 67600 67925 68400 68640 68952 70400 70642 70720 71060 71136 71808 71825 72675 72930 72960 73216 74100 74360 74800 74880 75240 75582 76050 76800 77064 77520 77792 78336 79040 79200 79560 80256 80275 81120 81510 81600 82368 82688 83200 83600 83655 83980 84150 84480 84864 85272 85800 86190 86528 86944 87040 87516 87552 88400 88825 88920 89232 89760 91200 91520 91936 92378 92950 93024 93600 94050 94809 94848 95744 96330 96900 97240 97280 97344 97812 97920 98800 99450 99840 100320 100776 101376 101400 102752 102960 103360 103428 104975 105600 105963 106080 106590 107008 107712 108160 108680 108800 109174 109395 109440 109824 111150 111540 112200 113152 113696 114400 114920 115200 115596 116280 116688 118560 118976 119680 119808 120384 121550 121600 121680 122265 122400 124032 124800 125400 125970 126412 126464 126720 127296 127908 128440 128700 129200 129285 129792 130416 130560 132600 133760 133848 134368 134640 135200 135850 136800 137280 137904 138567 139425 140800 141284 141440 142120 142272 143616 143650 144495 145350 145860 145920 146432 148200 148720 149600 149760 150480 151164 152100 154128 155040 155584 156672 158015 158080 158400 159120 159885 160512 160550 162240 163020 163200 163761 164736 165376 166400 167200 167310 167960 168300 168960 169728 170544 171600 172380 173056 173888 175032 175104 176605 176800 177650 177840 178464 179520 182325 182400 183040 183872 184756 185900 186048 187200 188100 188955 189618 189696 191488 192660 193800 194480 194688 195624 195840 197600 198900 199680 200640 201552 202800 203775 205504 205920 206720 206856 209950 211200 211926 212160 213180 214016 215424 215475 216320 217360 217600 218348 218790 218880 219648 222300 223080 224400 226304 227392 228800 229840 230400 230945 231192 232560 233376 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459680 461890 462384 465120 466752 474045 474240 475904 478720 481536 481650 486200 486400 486720 489060 489600 491283 496128 499200 501600 503880 505648 506880 509184 511632 513760 514800 516800 517140 519168 521664 529815 530400 532950 535040 535392 537472 538560 540800 543400 545870 546975 547200 549120 551616 554268 557700 565136 565760 568480 568854 569088 574464 574600 577980 581400 583440 592800 594880 598400 599040 600457 601920 604656 608400 611325 616512 620160 622336 629850 632060 632320 633600 635778 636480 639540 642048 642200 646425 648960 652080 652800 655044 658944 668800 669240 671840 673200 678912 682176 686400 689520 692835 695552 700128 706420 707200 710600 711360 713856 718080 722475 729300 729600 732160 735488 739024 743600 744192 748800 752400 755820 758472 758784 770640 775200 777920 778752 782496 783360 790075 790400 795600 799425 802560 806208 811200 815100 818805 822016 823680 826880 827424 831402 836550 839800 844800 847704 848640 852720 861696 861900 865280 869440 873392 875160 875520 883025 889200 892320 897600 909568 915200 919360 923780 924768 930240 933504 944775 948090 948480 951808 957440 963072 963300 972400 973440 978120 979200 982566 992256 998400 1003200 1007760 1011296 1018368 1023264 1027520 1029600 1033600 1034280 1043328 1059630 1060800 1065900 1070080 1070784 1074944 1077120 1081600 1086800 1091740 1093950 1094400 1098240 1103232 1108536 1115400 1130272 1131520 1136960 1137708 1138176 1149200 1154725 1155960 1162800 1166880 1185600 1189760 1196800 1200914 1203840 1209312 1216800 1222650 1233024 1240320 1244672 1259700 1264120 1264640 1267200 1271556 1272960 1279080 1284400 1292850 1297920 1304160 1305600 1310088 1317888 1337600 1338480 1343680 1346400 1364352 1364675 1372800 1379040 1385670 1391104 1400256 1412840 1414400 1421200 1422135 1422720 1427712 1436160 1444950 1458600 1459200 1470976 1478048 1487200 1488384 1497600 1504800 1511640 1516944 1541280 1550400 1555840 1557504 1564992 1580150 1580800 1589445 1591200 1598850 1605120 1612416 1622400 1630200 1637610 1644032 1647360 1653760 1654848 1662804 1673100 1679600 1695408 1697280 1705440 1723392 1723800 1738880 1746784 1750320 1766050 1778400 1784640 1795200 1801371 1819136 1830400 1838720 1847560 1849536 1860480 1867008 1889550 1896180 1896960 1903616 1926144 1926600 1944800 1946880 1956240 1958400 1965132 2006400 2015520 2022592 2036736 2046528 2055040 2059200 2067200 2068560 2078505 2086656 2119260 2121600 2131800 2141568 2149888 2154240 2163200 2173600 2183480 2187900 2188800 2196480 2206464 2217072 2230800 2260544 2273920 2275416 2276352 2298400 2309450 2311920 2325600 2333760 2370225 2371200 2379520 2393600 2401828 2407680 2418624 2433600 2445300 2456415 2466048 2480640 2489344 2519400 2528240 2534400 2543112 2545920 2558160 2568800 2585700 2595840 2608320 2620176 2649075 2675200 2676960 2687360 2692800 2728704 2729350 2745600 2758080 2771340 2782208 2800512 2825680 2828800 2842400 2844270 2845440 2855424 2872320 2889900 2917200 2941952 2956096 2974400 2976768 2995200 3002285 3009600 3023280 3033888 3082560 3100800 3111680 3129984 3160300 3161600 3178890 3182400 3197700 3210240 3224832 3244800 3260400 3275220 3288064 3294720 3309696 3325608 3346200 3359200 3390816 3394560 3410880 3447600 3464175 3477760 3493568 3500640 3532100 3556800 3569280 3590400 3602742 3638272 3660800 3677440 3695120 3699072 3720960 3734016 3779100 3792360 3793920 3853200 3889600 3893760 3912480 3916800 3930264 4012800 4031040 4045184 4093056 4094025 4110080 4118400 4134400 4137120 4157010 4173312 4238520 4243200 4263600 4283136 4299776 4308480 4326400 4347200 4366960 4375800 4377600 4412928 4434144 4461600 4521088 4547840 4550832 4596800 4618900 4623840 4651200 4667520 4740450 4742400 4759040 4787200 4803656 4815360 4837248 4867200 4890600 4912830 4932096 4961280 5038800 5056480 5086224 5091840 5116320 5137600 5171400 5216640 5240352 5298150 5350400 5353920 5374720 5385600 5404113 5457408 5458700 5491200 5516160 5542680 5601024 5651360 5657600 5684800 5688540 5690880 5710848 5779800 5834400 5912192 5948800 6004570 6019200 6046560 6067776 6165120 6201600 6223360 6259968 6320600 6323200 6357780 6364800 6395400 6449664 6489600 6520800 6550440 6589440 6619392 6651216 6692400 6718400 6781632 6821760 6895200 6928350 6955520 6987136 7001280 7064200 7110675 7113600 7138560 7180800 7205484 7354880 7390240 7398144 7441920 7468032 7558200 7584720 7706400 7779200 7787520 7824960 7860528 7947225 8025600 8062080 8090368 8186112 8188050 8220160 8236800 8268800 8274240 8314020 8346624 8477040 8486400 8527200 8566272 8616960 8694400 8733920 8751600 8825856 8868288 8923200 9006855 9042176 9095680 9101664 9193600 9237800 9247680 9302400 9335040 9480900 9484800 9518080 9607312 9630720 9674496 9734400 9781200 9825660 9864192 10077600 10112960 10172448 10183680 10232640 10275200 10342800 10392525 10433280 10480704 10596300 10707840 10749440 10771200 10808226 10914816 10917400 10982400 11032320 11085360 11202048 11302720 11369600 11377080 11381760 11559600 11668800 11824384 11897600 12009140 12038400 12093120 12135552 12282075 12330240 12403200 12446720 12519936 12641200 12715560 12729600 12790800 12899328 12979200 13041600 13100880 13238784 13302432 13384800 13436800 13563264 13643520 13790400 13856700 13911040 13974272 14002560 14128400 14221350 14227200 14277120 14361600 14410968 14709760 14780480 14796288 14883840 15011425 15116400 15169440 15412800 15558400 15649920 15721056 15894450 16051200 16124160 16180736 16372224 16376100 16440320 16473600 16548480 16628040 16954080 16972800 17054400 17132544 17388800 17467840 17503200 17736576 17846400 18013710 18084352 18191360 18203328 18387200 18475600 18495360 18604800 18670080 18961800 18969600 19214624 19348992 19468800 19562400 19651320 20155200 20225920 20344896 20465280 20550400 20685600 20785050 20866560 20961408 21192600 21415680 21498880 21542400 21616452 21834800 22064640 22170720 22404096 22605440 22739200 22754160 23119200 23337600 23648768 23795200 24018280 24076800 24186240 24271104 24564150 24660480 24806400 25039872 25282400 25431120 25459200 25581600 26083200 26201760 26477568 26604864 26769600 26873600 27020565 27126528 27287040 27580800 27713400 27948544 28005120 28256800 28442700 28454400 28554240 28821936 29560960 29592576 30022850 30232800 30338880 30825600 31116800 31299840 31442112 31788900 32248320 32361472 32744448 32752200 32947200 33096960 33256080 33908160 34108800 34777600 34935680 35006400 35473152 35692800 36027420 36168704 36406656 36774400 36951200 36990720 37209600 37340160 37923600 38429248 38697984 38937600 39124800 39302640 40310400 40451840 40689792 40930560 41100800 41371200 41570100 41733120 41922816 42385200 42831360 43084800 43232904 43669600 44129280 44341440 45034275 45210880 45478400 45508320 46238400 46675200 47297536 47590400 48036560 48153600 48372480 48542208 49128300 49320960 50564800 50862240 50918400 51163200 52166400 52403520 53209728 53539200 53747200 54041130 54253056 54574080 55161600 55426800 55897088 56010240 56513600 56885400 56908800 57643872 59121920 60045700 60465600 60677760 61651200 62233600 62599680 62884224 63577800 64496640 65504400 66193920 66512160 67816320 68217600 69555200 69871360 70012800 70946304 71385600 72054840 72813312 73548800 73902400 73981440 74419200 75847200 76858496 78249600 78605280 80620800 80903680 81379584 81861120 82201600 82742400 83140200 83845632 84770400 85662720 86465808 87339200 88682880 90068550 90421760 90956800 91016640 92476800 93350400 96073120 96744960 97084416 98256600 101129600 101724480 102326400 104332800 104807040 106419456 107078400 107494400 108082260 108506112 110323200 110853600 112020480 113027200 113770800 115287744 118243840 120091400 120931200 121355520 123302400 125199360 125768448 127155600 131008800 132387840 133024320 135102825 135632640 136435200 139742720 140025600 141892608 142771200 144109680 145626624 147804800 147962880 151694400 153716992 156499200 157210560 161241600 161807360 162759168 163722240 165484800 166280400 167691264 169540800 172931616 174678400 177365760 180137100 180843520 182033280 184953600 186700800 192146240 193489920 196513200 202259200 203448960 204652800 208665600 209614080 212838912 214156800 216164520 220646400 221707200 226054400 227541600 230575488 236487680 240182800 241862400 242711040 246604800 251536896 254311200 262017600 266048640 270205650 271265280 272870400 279485440 280051200 288219360 291253248 295609600 303388800 307433984 312998400 314421120 322483200 325518336 330969600 332560800 339081600 345863232 349356800 354731520 360274200 364066560 369907200 384292480 393026400 404518400 406897920 409305600 419228160 425677824 428313600 432329040 443414400 452108800 455083200 461150976 480365600 483724800 485422080 503073792 508622400 524035200 532097280 540411300 542530560 560102400 576438720 591219200 606777600 614867968 625996800 628842240 661939200 665121600 678163200 691726464 698713600 709463040 720548400 728133120 739814400 768584960 786052800 809036800 813795840 818611200 838456320 864658080 886828800 904217600 910166400 922301952 960731200 967449600 1017244800 1048070400 1064194560 1080822600 1152877440 1182438400 1213555200 1257684480 1330243200 1356326400 1383452928 1397427200 1441096800 1456266240 1537169920 1572105600 1627591680 1729316160 1773657600 1820332800 1844603904 1921462400 2034489600 2096140800 2128389120 2161645200 2305754880 2427110400 2515368960 2660486400 2712652800 2766905856 2882193600 3074339840 3144211200 3458632320 3547315200 3640665600 3842924800 4068979200 4192281600 4323290400 4611509760 5320972800 5533811712 5764387200 6288422400 6917264640 7281331200 7685849600 8137958400 8646580800 9223019520 10641945600 11528774400 12576844800 13834529280 15371699200 17293161600 23057548800 27669058560 34586323200 46115097600 69172646400 138345292800
• Sum of all divisors σ(n): 652165356960
• Sum of proper divisors (its aliquot sum) s(n): 513820064160
• 138345292800 is an abundant number, because the sum of its proper divisors (513820064160) is greater than itself. Its abundance is 375474771360

Bases of 138345292800

• Binary: 10000000110110000001011010010000000000₂
• Hexadecimal: 0x203605A400
• Base-36: 1RJZ7R40

Squares and roots of 138345292800

• 138345292800 squared (138345292800²) is 19139420039917731840000
• 138345292800 cubed (138345292800³) is 2647848669444606299316682752000000
• The square root of 138345292800 is 371947.9705550227
• The cube root of 138345292800 is 5171.9556917911

Scales and comparisons

• 138,345,292,800 seconds is equal to 4,398 years, 49 weeks, 3 days, 16 hours.
• To count from 1 to 138,345,292,800 would take you about eight thousand, seven hundred ninety-seven 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 138345292800 cubic inches would be around 431 feet tall.

Recreational maths with 138345292800

• 138345292800 backwards is 008292543831
• 138345292800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138345292800's digits is 45
• More coming soon!