138774640320

Names of 138774640320

• Cardinal: 138774640320 can be written as One hundred thirty-eight billion, seven hundred seventy-four million, six hundred forty thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3877464032 × 10¹¹

Factors of 138774640320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5267

Divisors of 138774640320

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 64 72 80 90 96 106 120 144 159 160 180 181 192 212 240 265 288 318 320 360 362 424 477 480 530 543 576 636 720 724 795 848 905 954 960 1060 1086 1272 1440 1448 1590 1629 1696 1810 1908 2120 2172 2385 2544 2715 2880 2896 3180 3258 3392 3620 3816 4240 4344 4770 5023 5088 5430 5792 6360 6516 7240 7632 8145 8480 8688 9540 9593 10046 10176 10860 11584 12720 13032 14480 15069 15264 16290 16960 17376 19080 19186 20092 21720 25115 25440 26064 28779 28960 30138 30528 32580 34752 38160 38372 40184 43440 45207 47965 50230 50880 52128 57558 57920 60276 65160 75345 76320 76744 80368 86337 86880 90414 95930 100460 104256 115116 120552 130320 143895 150690 152640 153488 160736 172674 173760 180828 191860 200920 226035 230232 241104 260640 266219 287790 301380 306976 321472 345348 361656 383720 401840 431685 452070 460464 482208 521280 532438 575580 602760 613952 690696 723312 767440 798657 803680 863370 904140 909163 920928 964416 1064876 1151160 1205520 1331095 1381392 1446624 1534880 1597314 1607360 1726740 1808280 1818326 1841856 2129752 2302320 2395971 2411040 2662190 2727489 2762784 2893248 3069760 3194628 3453480 3616560 3636652 3993285 4259504 4545815 4604640 4791942 4822080 5324380 5454978 5525568 6389256 6906960 7233120 7273304 7986570 8182467 8519008 9091630 9209280 9583884 10648760 10909956 11979855 12778512 13637445 13813920 14466240 14546608 15973140 16364934 17038016 18183260 19167768 21297520 21819912 23959710 25557024 27274890 27627840 29093216 31946280 32729868 36366520 38335536 40912335 42595040 43639824 47919420 48185639 51114048 54549780 58186432 63892560 65459736 72733040 76671072 81824670 85190080 87279648 95838840 96371278 109099560 127785120 130919472 144556917 145466080 153342144 163649340 174559296 191677680 192742556 218199120 240928195 255570240 261838944 289113834 290932160 327298680 383355360 385485112 433670751 436398240 481856390 523677888 578227668 654597360 722784585 766710720 770970224 867341502 872796480 963712780 1156455336 1309194720 1445569170 1541940448 1734683004 1927425560 2168353755 2312910672 2618389440 2891138340 3083880896 3469366008 3854851120 4336707510 4625821344 5782276680 6938732016 7709702240 8673415020 9251642688 11564553360 13877464032 15419404480 17346830040 23129106720 27754928064 34693660080 46258213440 69387320160 138774640320
• Sum of all divisors σ(n): 489117388032
• Sum of proper divisors (its aliquot sum) s(n): 350342747712
• 138774640320 is an abundant number, because the sum of its proper divisors (350342747712) is greater than itself. Its abundance is 211568107392

Bases of 138774640320

• Binary: 10000001001111100111001111011011000000₂
• Hexadecimal: 0x204F9CF6C0
• Base-36: 1RR2U5S0

Squares and roots of 138774640320

• 138774640320 squared (138774640320²) is 19258400795945369702400
• 138774640320 cubed (138774640320³) is 2672577643595720394819985440768000
• The square root of 138774640320 is 372524.6841754249
• The cube root of 138774640320 is 5177.3004662547

Scales and comparisons

• 138,774,640,320 seconds is equal to 4,412 years, 31 weeks, 2 days, 23 hours, 12 minutes.
• To count from 1 to 138,774,640,320 would take you about eight thousand, eight hundred twenty-five 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 138774640320 cubic inches would be around 431.4 feet tall.

Recreational maths with 138774640320

• 138774640320 backwards is 023046477831
• 138774640320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138774640320's digits is 45
• More coming soon!