138328197120

Names of 138328197120

• Cardinal: 138328197120 can be written as One hundred thirty-eight billion, three hundred twenty-eight million, one hundred ninety-seven thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3832819712 × 10¹¹

Factors of 138328197120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 2450

Divisors of 138328197120

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 64 69 72 80 81 90 92 96 108 115 120 128 135 138 144 160 162 180 184 192 207 216 230 240 243 256 270 276 288 320 324 345 360 368 384 405 414 432 460 480 486 512 540 552 576 621 640 648 690 720 736 768 810 828 864 920 960 972 1024 1035 1080 1104 1152 1215 1242 1280 1296 1380 1440 1472 1536 1620 1656 1728 1840 1863 1920 1944 2048 2070 2160 2208 2304 2417 2430 2484 2560 2592 2760 2880 2944 3072 3105 3240 3312 3456 3680 3726 3840 3888 4140 4320 4416 4608 4834 4860 4968 5120 5184 5520 5589 5760 5888 6144 6210 6480 6624 6912 7251 7360 7452 7680 7776 8280 8640 8832 9216 9315 9668 9720 9936 10240 10368 11040 11178 11520 11776 12085 12420 12960 13248 13824 14502 14720 14904 15360 15552 16560 17280 17664 18432 18630 19336 19440 19872 20736 21753 22080 22356 23040 23552 24170 24840 25920 26496 27648 27945 29004 29440 29808 30720 31104 33120 34560 35328 36255 37260 38672 38880 39744 41472 43506 44160 44712 46080 47104 48340 49680 51840 52992 55296 55591 55890 58008 58880 59616 62208 65259 66240 69120 70656 72510 74520 77344 77760 79488 82944 87012 88320 89424 92160 96680 99360 103680 105984 108765 111182 111780 116016 117760 119232 124416 130518 132480 138240 141312 145020 149040 154688 155520 158976 165888 166773 174024 176640 178848 193360 195777 198720 207360 211968 217530 222364 223560 232032 235520 238464 248832 261036 264960 276480 277955 290040 298080 309376 311040 317952 326295 333546 348048 353280 357696 386720 391554 397440 414720 423936 435060 444728 447120 464064 476928 497664 500319 522072 529920 555910 580080 587331 596160 618752 622080 635904 652590 667092 696096 706560 715392 773440 783108 794880 829440 833865 870120 889456 894240 928128 953856 978885 1000638 1044144 1059840 1111820 1160160 1174662 1192320 1237504 1244160 1271808 1305180 1334184 1392192 1430784 1500957 1546880 1566216 1589760 1667730 1740240 1778912 1788480 1856256 1907712 1957770 2001276 2088288 2119680 2223640 2320320 2349324 2384640 2475008 2488320 2501595 2610360 2668368 2784384 2861568 2936655 3001914 3093760 3132432 3179520 3335460 3480480 3557824 3576960 3712512 3815424 3915540 4002552 4176576 4447280 4502871 4640640 4698648 4769280 4950016 5003190 5220720 5336736 5568768 5723136 5873310 6003828 6187520 6264864 6359040 6670920 6960960 7115648 7153920 7425024 7504785 7831080 8005104 8353152 8894560 9005742 9281280 9397296 9538560 10006380 10441440 10673472 11137536 11446272 11746620 12007656 12375040 12529728 13341840 13508613 13921920 14231296 14307840 14850048 15009570 15662160 16010208 16706304 17789120 18011484 18562560 18794592 19077120 20012760 20882880 21346944 22275072 22514355 23493240 24015312 24750080 25059456 26683680 27017226 27843840 28462592 28615680 30019140 31324320 32020416 33412608 35578240 36022968 37125120 37589184 40025520 41765760 42693888 44550144 45028710 46986480 48030624 50118912 53367360 54034452 55687680 56925184 57231360 60038280 62648640 64040832 66825216 67543065 71156480 72045936 74250240 75178368 80051040 83531520 85387776 90057420 93972960 96061248 100237824 106734720 108068904 111375360 113850368 120076560 125297280 128081664 133650432 135086130 142312960 144091872 150356736 160102080 167063040 170775552 180114840 187945920 192122496 200475648 213469440 216137808 222750720 240153120 250594560 256163328 270172260 284625920 288183744 300713472 320204160 334126080 341551104 360229680 375891840 384244992 400951296 426938880 432275616 480306240 501189120 512326656 540344520 569251840 576367488 601426944 640408320 668252160 720459360 751783680 768489984 853877760 864551232 960612480 1002378240 1024653312 1080689040 1152734976 1202853888 1280816640 1440918720 1503567360 1536979968 1707755520 1729102464 1921224960 2004756480 2161378080 2305469952 2561633280 2881837440 3007134720 3073959936 3458204928 3842449920 4322756160 4610939904 5123266560 5763674880 6014269440 6916409856 7684899840 8645512320 9221879808 11527349760 13832819712 15369799680 17291024640 23054699520 27665639424 34582049280 46109399040 69164098560 138328197120
• Sum of all divisors σ(n): 519008031360
• Sum of proper divisors (its aliquot sum) s(n): 380679834240
• 138328197120 is an abundant number, because the sum of its proper divisors (380679834240) is greater than itself. Its abundance is 242351637120

Bases of 138328197120

• Binary: 10000000110101000000001100100000000000₂
• Hexadecimal: 0x203500C800
• Base-36: 1RJP1C00

Squares and roots of 138328197120

• 138328197120 squared (138328197120²) is 19134690118469576294400
• 138328197120 cubed (138328197120³) is 2646867186537775702374642352128000
• The square root of 138328197120 is 371924.9885662431
• The cube root of 138328197120 is 5171.7426457719

Scales and comparisons

• 138,328,197,120 seconds is equal to 4,398 years, 21 weeks, 1 day, 19 hours, 12 minutes.
• To count from 1 to 138,328,197,120 would take you about eight thousand, seven 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 138328197120 cubic inches would be around 431 feet tall.

Recreational maths with 138328197120

• 138328197120 backwards is 021791823831
• 138328197120 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138328197120's digits is 45
• More coming soon!