138405221380800

Names of 138405221380800

• Cardinal: 138405221380800 can be written as One hundred thirty-eight trillion, four hundred five billion, two hundred twenty-one million, three hundred eighty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.384052213808 × 10¹⁴

Factors of 138405221380800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 8825984

Divisors of 138405221380800

• Number of divisors d(n): 630
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 242 264 270 275 288 297 300 320 324 330 352 360 363 396 400 405 432 440 450 480 484 495 528 540 550 576 594 600 605 648 660 675 704 720 726 792 800 810 825 864 880 891 900 960 968 990 1056 1080 1089 1100 1188 1200 1210 1296 1320 1350 1440 1452 1485 1584 1600 1620 1650 1728 1760 1782 1800 1815 1936 1980 2025 2112 2160 2178 2200 2376 2400 2420 2475 2592 2640 2700 2880 2904 2970 3025 3168 3240 3267 3300 3520 3564 3600 3630 3872 3960 4050 4320 4356 4400 4455 4752 4800 4840 4950 5184 5280 5400 5445 5808 5940 6050 6336 6480 6534 6600 7128 7200 7260 7425 7744 7920 8100 8640 8712 8800 8910 9075 9504 9680 9801 9900 10560 10800 10890 11616 11880 12100 12960 13068 13200 14256 14400 14520 14850 15840 16200 16335 17424 17600 17820 18150 19008 19360 19602 19800 21600 21780 22275 23232 23760 24200 25920 26136 26400 27225 28512 29040 29700 31680 32400 32670 34848 35640 36300 38720 39204 39600 43200 43560 44550 47520 48400 49005 52272 52800 54450 57024 58080 59400 64800 65340 69696 71280 72600 78408 79200 81675 87120 89100 95040 96800 98010 104544 108900 116160 118800 129600 130680 142560 145200 156816 158400 163350 174240 178200 193600 196020 209088 217800 237600 245025 261360 285120 290400 313632 326700 348480 356400 392040 435600 475200 490050 522720 580800 627264 653400 712800 784080 871200 980100 1045440 1306800 1425600 1568160 1742400 1960200 2613600 3136320 3920400 5227200 7840800 8825963 15681600 17651926 26477889 35303852 44129815 52955778 70607704 79433667 88259630 97085593 105911556 132389445 141215408 158867334 176519260 194171186 211823112 220649075 238301001 264778890 282430816 291256779 317734668 353038520 388342372 397168335 423646224 441298150 476602002 485427965 529557780 564861632 582513558 635469336 661947225 706077040 714903003 776684744 794336670 847292448 873770337 882596300 953204004 970855930 1059115560 1067941523 1165027116 1191505005 1270938672 1323894450 1412154080 1429806006 1456283895 1553369488 1588673340 1694584896 1747540674 1765192600 1906408008 1941711860 1985841675 2118231120 2135883046 2330054232 2383010010 2427139825 2541877344 2621311011 2647788900 2824308160 2859612012 2912567790 3106738976 3177346680 3203824569 3495081348 3530385200 3574515015 3812816016 3883423720 3971683350 4236462240 4271766092 4368851685 4660108464 4766020020 4854279650 5083754688 5242622022 5295577800 5339707615 5719224024 5825135580 5957525025 6213477952 6354693360 6407649138 6990162696 7060770400 7149030030 7281419475 7625632032 7766847440 7863933033 7943366700 8472924480 8543532184 8737703370 9320216928 9532040040 9611473707 9708559300 10485244044 10591155600 10679415230 11438448048 11650271160 11915050050 12709386720 12815298276 13106555055 13980325392 14121540800 14298060060 14562838950 15251264064 15533694880 15727866066 15886733400 16019122845 17087064368 17475406740 17872575075 18640433856 19064080080 19222947414 19417118600 20970488088 21182311200 21358830460 21844258425 22876896096 23300542320 23830100100 25418773440 25630596552 26213110110 26698538075 27960650784 28596120120 28834421121 29125677900 31067389760 31455732132 31773466800 32038245690 34174128736 34950813480 35745150150 38128160160 38445894828 38834237200 39319665165 41940976176 42364622400 42717660920 43688516850 45753792192 46601084640 47660200200 48057368535 51261193104 52426220220 53397076150 55921301568 57192240240 57668842242 58251355800 62911464264 63546933600 64076491380 65532775275 68348257472 69901626960 71490300300 76256320320 76891789656 77668474400 78639330330 80095614225 83881952352 85435321840 86503263363 87377033700 93202169280 95320400400 96114737070 102522386208 104852440440 106794152300 114384480480 115337684484 116502711600 125822928528 127093867200 128152982760 131065550550 139803253920 142980600600 144172105605 153783579312 155336948800 157278660660 160191228450 167763904704 170870643680 173006526726 174754067400 190640800800 192229474140 196598325825 205044772416 209704880880 213588304600 228768960960 230675368968 233005423200 240286842675 251645857056 256305965520 262131101100 279606507840 285961201200 288344211210 307567158624 314557321320 320382456900 341741287360 346013053452 349508134800 381281601600 384458948280 393196651650 419409761760 427176609200 432516316815 461350737936 466010846400 480573685350 503291714112 512611931040 524262202200 571922402400 576688422420 615134317248 629114642640 640764913800 692026106904 699016269600 720860528025 768917896560 786393303300 838819523520 854353218400 865032633630 922701475872 961147370700 1025223862080 1048524404400 1143844804800 1153376844840 1258229285280 1281529827600 1384052213808 1398032539200 1441721056050 1537835793120 1572786606600 1708706436800 1730065267260 1845402951744 1922294741400 2097048808800 2162581584075 2306753689680 2516458570560 2563059655200 2768104427616 2883442112100 3075671586240 3145573213200 3460130534520 3844589482800 4194097617600 4325163168150 4613507379360 5126119310400 5536208855232 5766884224200 6291146426400 6920261069040 7689178965600 8650326336300 9227014758720 11533768448400 12582292852800 13840522138080 15378357931200 17300652672600 23067536896800 27681044276160 34601305345200 46135073793600 69202610690400 138405221380800
• Sum of all divisors σ(n): 559196671572924
• Sum of proper divisors (its aliquot sum) s(n): 420791450192124
• 138405221380800 is an abundant number, because the sum of its proper divisors (420791450192124) is greater than itself. Its abundance is 282386228811324

Bases of 138405221380800

• Binary: 11111011110000011111010000011100011001011000000₂
• Hexadecimal: 0x7DE0FA0E32C0
• Base-36: 1D26HBAK00

Squares and roots of 138405221380800

• 138405221380800 squared (138405221380800²) is 19156005305468257458608640000
• 138405221380800 cubed (138405221380800³) is 2651291155075113502365939611947610112000000
• The square root of 138405221380800 is 11764574.8491307581
• The cube root of 138405221380800 is 51727.0238198575

Scales and comparisons

• 138,405,221,380,800 seconds is equal to 4,400,857 years, 48 weeks, 12 hours.
• To count from 1 to 138,405,221,380,800 would take you about eleven million, two thousand, one hundred forty-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 138405221380800 cubic inches would be around 4310.6 feet tall.

Recreational maths with 138405221380800

• 138405221380800 backwards is 008083122504831
• 138405221380800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138405221380800's digits is 45
• More coming soon!