138763345920

Names of 138763345920

• Cardinal: 138763345920 can be written as One hundred thirty-eight billion, seven hundred sixty-three million, three hundred forty-five thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3876334592 × 10¹¹

Factors of 138763345920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 575

Divisors of 138763345920

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 181 192 204 240 255 256 272 320 340 362 367 384 408 480 510 512 543 544 640 680 724 734 768 816 905 960 1020 1024 1086 1088 1101 1280 1360 1448 1468 1536 1632 1810 1835 1920 2040 2048 2172 2176 2202 2560 2715 2720 2896 2936 3072 3077 3264 3620 3670 3840 4080 4096 4344 4352 4404 5120 5430 5440 5505 5792 5872 6144 6154 6239 6528 7240 7340 7680 8160 8192 8688 8704 8808 9231 10240 10860 10880 11010 11584 11744 12288 12308 12478 13056 14480 14680 15360 15385 16320 17376 17408 17616 18462 18717 20480 21720 21760 22020 23168 23488 24576 24616 24956 26112 28960 29360 30720 30770 31195 32640 34752 34816 35232 36924 37434 40960 43440 43520 44040 46155 46336 46976 49232 49912 52224 57920 58720 61440 61540 62390 65280 66427 69504 69632 70464 73848 74868 86880 87040 88080 92310 92672 93585 93952 98464 99824 104448 115840 117440 122880 123080 124780 130560 132854 139008 139264 140928 147696 149736 173760 174080 176160 184620 185344 187170 187904 196928 199281 199648 208896 231680 234880 246160 249560 261120 265708 278016 281856 295392 299472 332135 347520 348160 352320 369240 370688 374340 375808 393856 398562 399296 417792 463360 469760 492320 499120 522240 531416 556032 563712 590784 598944 664270 695040 696320 704640 738480 741376 748680 751616 787712 797124 798592 926720 939520 984640 996405 998240 1044480 1062832 1112064 1127424 1129259 1181568 1197888 1328540 1390080 1409280 1476960 1482752 1497360 1503232 1575424 1594248 1597184 1853440 1879040 1969280 1992810 1996480 2088960 2125664 2224128 2254848 2258518 2363136 2395776 2657080 2780160 2818560 2953920 2994720 3006464 3150848 3188496 3194368 3387777 3706880 3758080 3938560 3985620 3992960 4251328 4448256 4509696 4517036 4726272 4791552 5314160 5560320 5637120 5646295 5907840 5989440 6301696 6376992 6388736 6775554 7413760 7516160 7877120 7971240 7985920 8502656 9019392 9034072 9452544 9583104 10628320 11120640 11274240 11292590 11815680 11978880 12603392 12753984 12777472 13551108 15032320 15754240 15942480 15971840 16938885 17005312 18068144 18905088 19166208 21256640 22241280 22548480 22585180 23631360 23957760 25206784 25507968 25554944 27102216 31508480 31884960 31943680 33877770 34010624 36136288 37810176 38332416 42513280 45096960 45170360 47262720 47915520 51015936 51109888 54204432 63016960 63769920 63887360 67755540 68021248 72272576 75620352 76664832 85026560 90340720 94525440 95831040 102031872 108408864 126033920 127539840 127774720 135511080 136042496 144545152 153329664 170053120 180681440 189050880 191662080 204063744 216817728 255079680 255549440 271022160 272084992 289090304 340106240 361362880 378101760 383324160 408127488 433635456 510159360 542044320 544169984 578180608 680212480 722725760 766648320 816254976 867270912 1020318720 1084088640 1156361216 1360424960 1445451520 1632509952 1734541824 2040637440 2168177280 2312722432 2720849920 2890903040 3469083648 4081274880 4336354560 4625444864 5781806080 6938167296 8162549760 8672709120 9250889728 11563612160 13876334592 17345418240 23127224320 27752669184 34690836480 46254448640 69381672960 138763345920
• Sum of all divisors σ(n): 474019693056
• Sum of proper divisors (its aliquot sum) s(n): 335256347136
• 138763345920 is an abundant number, because the sum of its proper divisors (335256347136) is greater than itself. Its abundance is 196493001216

Bases of 138763345920

• Binary: 10000001001110111100001010000000000000₂
• Hexadecimal: 0x204EF0A000
• Base-36: 1RQW42YO

Squares and roots of 138763345920

• 138763345920 squared (138763345920²) is 19255266170913580646400
• 138763345920 cubed (138763345920³) is 2671925160456155033662220402688000
• The square root of 138763345920 is 372509.5246030631
• The cube root of 138763345920 is 5177.1600081021

Scales and comparisons

• 138,763,345,920 seconds is equal to 4,412 years, 12 weeks, 5 days, 5 hours, 52 minutes.
• To count from 1 to 138,763,345,920 would take you about eight thousand, eight hundred twenty-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 138763345920 cubic inches would be around 431.4 feet tall.

Recreational maths with 138763345920

• 138763345920 backwards is 029543367831
• 138763345920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138763345920's digits is 51
• More coming soon!