138521819520

Names of 138521819520

• Cardinal: 138521819520 can be written as One hundred thirty-eight billion, five hundred twenty-one million, eight hundred nineteen thousand, five hundred twenty.

Scientific notation

• Scientific notation: 1.3852181952 × 10¹¹

Factors of 138521819520

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 254

Divisors of 138521819520

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 32 35 36 37 38 40 42 45 48 54 56 57 60 63 64 70 72 74 76 80 81 84 90 95 96 105 108 111 112 114 120 126 128 133 135 140 144 148 152 160 162 168 171 180 181 185 189 190 192 210 216 222 224 228 240 243 252 259 266 270 280 285 288 296 304 315 320 324 333 336 342 360 362 370 378 380 384 399 405 420 432 444 448 456 480 486 504 513 518 532 540 543 555 560 567 570 576 592 608 630 640 648 665 666 672 684 703 720 724 740 756 760 777 798 810 840 855 864 888 896 905 912 945 960 972 999 1008 1026 1036 1064 1080 1086 1110 1120 1134 1140 1152 1184 1197 1215 1216 1260 1267 1295 1296 1330 1332 1344 1368 1406 1440 1448 1480 1512 1520 1539 1554 1596 1620 1629 1665 1680 1701 1710 1728 1776 1810 1824 1890 1920 1944 1995 1998 2016 2052 2072 2109 2128 2160 2172 2220 2240 2268 2280 2331 2368 2394 2430 2432 2520 2534 2565 2590 2592 2660 2664 2688 2715 2736 2812 2835 2880 2896 2960 2997 3024 3040 3078 3108 3192 3240 3258 3330 3360 3402 3420 3439 3456 3515 3552 3591 3620 3648 3780 3801 3885 3888 3990 3996 4032 4104 4144 4218 4256 4320 4344 4440 4480 4536 4560 4617 4662 4736 4788 4860 4887 4921 4995 5040 5068 5130 5180 5184 5320 5328 5430 5472 5624 5670 5760 5792 5920 5985 5994 6048 6080 6156 6216 6327 6335 6384 6480 6516 6660 6697 6720 6804 6840 6878 6993 7030 7104 7182 7240 7296 7560 7602 7695 7770 7776 7980 7992 8064 8145 8208 8288 8436 8505 8512 8640 8688 8880 8991 9072 9120 9234 9324 9576 9720 9774 9842 9990 10080 10136 10260 10317 10360 10368 10545 10640 10656 10773 10860 10944 11248 11340 11403 11584 11655 11840 11970 11988 12096 12160 12312 12432 12654 12670 12768 12960 13032 13320 13394 13440 13608 13680 13756 13986 14060 14208 14364 14480 14661 14763 14985 15120 15204 15390 15540 15552 15960 15984 16290 16416 16576 16872 17010 17024 17195 17280 17376 17760 17955 17982 18144 18240 18468 18648 18981 19005 19152 19440 19548 19684 19980 20091 20160 20272 20520 20634 20720 20979 21090 21280 21312 21546 21720 21888 22496 22680 22806 23085 23168 23310 23680 23940 23976 24073 24192 24435 24605 24624 24864 25308 25340 25536 25920 26064 26640 26788 27216 27360 27512 27972 28120 28728 28960 29322 29526 29970 30240 30408 30780 30951 31080 31104 31635 31920 31968 32319 32580 32832 33152 33485 33744 34020 34209 34390 34752 34965 35520 35910 35964 36288 36480 36936 37296 37962 38010 38304 38880 39096 39368 39960 40182 40320 40544 41040 41268 41440 41958 42180 42560 42624 43092 43440 43983 44289 44955 44992 45360 45612 46170 46620 46879 47880 47952 48146 48870 49210 49248 49728 50616 50680 51072 51585 51840 52128 53280 53576 53865 54432 54720 55024 55944 56240 56943 57015 57456 57920 58644 59052 59940 60273 60480 60816 61560 61902 62160 62937 63270 63840 63936 64638 65160 65664 66970 67488 68040 68418 68780 69504 69930 71040 71820 71928 72219 72576 73305 73815 73872 74592 75924 76020 76608 77760 78192 78736 79920 80364 81088 82080 82536 82880 83916 84360 85120 86184 86880 87966 88578 89910 89984 90720 91224 92340 92853 93240 93758 94905 95760 95904 96292 97740 98420 98496 99456 100455 101232 101360 102627 103170 104256 104895 106560 107152 107730 108864 109440 110048 111888 112480 113886 114030 114912 115840 117288 118104 119880 120365 120546 120960 121632 123120 123804 124320 125874 126540 127243 127680 127872 129276 130320 132867 133940 134976 136080 136836 137560 139860 140637 143640 143856 144438 146610 147630 147744 149184 151848 152040 153216 154755 155520 156384 157472 159840 160728 161595 162176 164160 165072 165760 167832 168720 170829 171045 172368 173760 175932 177156 179820 180819 181440 182448 184680 185706 186480 187516 189810 191520 191808 192584 195480 196840 196992 200910 202464 202720 205254 206340 208512 209790 213120 214304 215460 216657 217728 219915 220096 221445 223776 224960 227772 228060 229824 234395 234576 236208 239760 240730 241092 243264 246240 247608 248640 251748 253080 254486 255360 258552 260640 265734 267880 269952 272160 273672 275120 278559 279720 281274 284715 287280 287712 288876 293220 295260 295488 298368 301365 303696 304080 307881 309510 312768 314685 314944 319680 321456 323190 328320 330144 335664 337440 341658 342090 344736 347520 351864 354312 359640 361095 361638 362880 364896 369360 371412 372960 375032 379620 381729 383040 383616 385168 390960 393680 398601 401820 404928 405440 410508 412680 419580 421911 428608 430920 433314 439830 440192 442890 447552 449920 455544 456120 459648 464265 468790 469152 472416 479520 481460 482184 486528 492480 495216 497280 503496 506160 508972 513135 517104 521280 531468 535760 542457 544320 547344 550240 557118 559440 562548 569430 574560 575424 577752 586440 590520 590976 602730 607392 608160 615762 619020 625536 629370 629888 636215 639360 642912 646380 649971 660288 664335 671328 674880 683316 684180 689472 703185 703728 708624 719280 722190 723276 729792 738720 742824 745920 750064 759240 763458 766080 770336 781920 787360 797202 803640 809856 810880 821016 825360 835677 839160 843822 854145 857216 861840 866628 879660 885780 890701 895104 904095 911088 912240 928530 937580 938304 944832 959040 962920 964368 984960 990432 1006992 1012320 1017944 1026270 1034208 1042560 1062936 1071520 1083285 1084914 1088640 1094688 1100480 1114236 1118880 1125096 1138860 1145187 1149120 1150848 1155504 1172880 1181040 1195803 1205460 1214784 1216320 1231524 1238040 1258740 1265733 1272430 1285824 1292760 1299942 1320576 1328670 1342656 1349760 1366632 1368360 1378944 1392795 1406370 1407456 1417248 1438560 1444380 1446552 1459584 1477440 1485648 1491840 1500128 1518480 1526916 1539405 1540672 1563840 1574720 1594404 1607280 1627371 1642032 1650720 1671354 1678320 1687644 1708290 1723680 1733256 1759320 1771560 1781402 1808190 1822176 1824480 1857060 1875160 1876608 1889664 1908645 1918080 1925840 1928736 1949913 1980864 1993005 2013984 2024640 2035888 2052540 2068416 2109555 2125872 2143040 2166570 2169828 2189376 2200960 2228472 2237760 2250192 2277720 2290374 2298240 2311008 2345760 2362080 2391606 2410920 2429568 2432640 2463048 2476080 2517480 2531466 2544860 2571648 2585520 2599884 2657340 2672103 2685312 2712285 2733264 2736720 2785590 2812740 2814912 2834496 2877120 2888760 2893104 2954880 2971296 3000256 3036960 3053832 3078810 3081344 3127680 3149440 3188808 3214560 3249855 3254742 3284064 3301440 3342708 3356640 3375288 3416580 3435561 3447360 3466512 3518640 3543120 3562804 3616380 3644352 3648960 3714120 3750320 3797199 3817290 3851680 3857472 3899826 3961728 3986010 4027968 4049280 4071776 4105080 4136832 4178385 4219110 4251744 4286080 4333140 4339656 4378752 4453505 4456944 4475520 4500384 4555440 4580748 4622016 4691520 4724160 4783212 4821840 4926096 4952160 5034960 5062932 5089720 5171040 5199768 5314680 5344206 5424570 5466528 5473440 5571180 5625480 5629824 5668992 5725935 5754240 5777520 5786208 5849739 5942592 5979015 6000512 6073920 6107664 6157620 6328665 6377616 6429120 6499710 6509484 6568128 6602880 6685416 6713280 6750576 6833160 6871122 6894720 6933024 7037280 7086240 7125608 7232760 7288704 7297920 7428240 7500640 7594398 7634580 7703360 7714944 7799652 7972020 8016309 8055936 8136855 8143552 8210160 8356770 8438220 8503488 8666280 8679312 8907010 8913888 9000768 9110880 9161496 9244032 9383040 9448320 9566424 9643680 9749565 9852192 9904320 10069920 10125864 10179440 10306683 10342080 10399536 10629360 10688412 10849140 10933056 10946880 11142360 11250960 11391597 11451870 11555040 11572416 11699478 11885184 11958030 12147840 12215328 12315240 12657330 12755232 12858240 12999420 13018968 13136256 13360515 13370832 13426560 13501152 13666320 13742244 13866048 14074560 14172480 14251216 14465520 14856480 15001280 15188796 15269160 15406720 15599304 15944040 16032618 16273710 16287104 16420320 16713540 16876440 17006976 17177805 17332560 17358624 17814020 17827776 18001536 18221760 18322992 18985995 19132848 19287360 19499130 19704384 19808640 20139840 20251728 20358880 20613366 20684160 20799072 21258720 21376824 21698280 21866112 21893760 22284720 22501920 22783194 22903740 23110080 23144832 23398956 23916060 24048927 24430656 24630480 25314660 25510464 25998840 26037936 26721030 26741664 27002304 27332640 27484488 27732096 28149120 28344960 28502432 28931040 29248695 29712960 30002560 30377592 30538320 30920049 31198608 31888080 32065236 32547420 32840640 33427080 33752880 34355610 34665120 34717248 35628040 35655552 36443520 36645984 37971990 38265696 38574720 38998260 39408768 40081545 40279680 40503456 40717760 41226732 41598144 42517440 42753648 43396560 44569440 45003840 45566388 45807480 46220160 46797912 47832120 48097854 48861312 49260960 50629320 51020928 51533415 51997680 52075872 53442060 53483328 54004608 54665280 54968976 56957985 57004864 57862080 58497390 59425920 60755184 61076640 61840098 62397216 63776160 64130472 65094840 65681280 66854160 67505760 68711220 69330240 69434496 71256080 72146781 73291968 75943980 76531392 77996520 80163090 81006912 81435520 82453464 83196288 85034880 85507296 86793120 89138880 90007680 91132776 91614960 93595824 95664240 96195708 98521920 101258640 103066830 103995360 104151744 106884120 106966656 109330560 109937952 113915970 114009728 115724160 116994780 120244635 121510368 122153280 123680196 124794432 127552320 128260944 130189680 133708320 135011520 137422440 138660480 142512160 144293562 146583936 151887960 153062784 154600245 155993040 160326180 162013824 164906928 171014592 173586240 178277760 182265552 183229920 187191648 191328480 192391416 197043840 202517280 206133660 207990720 208303488 213768240 216440343 219875904 227831940 233989560 240489270 243020736 244306560 247360392 249588864 255104640 256521888 260379360 267416640 270023040 274844880 285024320 288587124 303775920 309200490 311986080 320652360 329813856 342029184 347172480 360733905 364531104 366459840 374383296 382656960 384782832 405034560 412267320 415981440 427536480 432880686 439751808 455663880 467979120 480978540 486041472 494720784 513043776 520758720 534833280 549689760 570048640 577174248 607551840 618400980 623972160 641304720 659627712 721467810 729062208 732919680 748766592 765313920 769565664 810069120 824534640 855072960 865761372 911327760 935958240 961957080 989441568 1026087552 1041517440 1082201715 1099379520 1154348496 1215103680 1236801960 1247944320 1282609440 1319255424 1442935620 1458124416 1539131328 1649069280 1710145920 1731522744 1822655520 1871916480 1923914160 1978883136 2164403430 2198759040 2308696992 2430207360 2473603920 2565218880 2885871240 3078262656 3298138560 3463045488 3645311040 3743832960 3847828320 3957766272 4328806860 4617393984 4947207840 5130437760 5771742480 6596277120 6926090976 7290622080 7695656640 8657613720 9234787968 9894415680 11543484960 13852181952 15391313280 17315227440 19788831360 23086969920 27704363904 34630454880 46173939840 69260909760 138521819520
• Sum of all divisors σ(n): 616265395200
• Sum of proper divisors (its aliquot sum) s(n): 477743575680
• 138521819520 is an abundant number, because the sum of its proper divisors (477743575680) is greater than itself. Its abundance is 339221756160

Bases of 138521819520

• Binary: 10000001000000100010110011100110000000₂
• Hexadecimal: 0x20408B3980
• Base-36: 1RMWBC00

Squares and roots of 138521819520

• 138521819520 squared (138521819520²) is 19188294483131453030400
• 138521819520 cubed (138521819520³) is 2657997465288946821112425873408000
• The square root of 138521819520 is 372185.1951918561
• The cube root of 138521819520 is 5174.1545386295

Scales and comparisons

• 138,521,819,520 seconds is equal to 4,404 years, 29 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 138,521,819,520 would take you about eight thousand, eight hundred nine 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 138521819520 cubic inches would be around 431.2 feet tall.

Recreational maths with 138521819520

• 138521819520 backwards is 025918125831
• 138521819520 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138521819520's digits is 45
• More coming soon!