137338489061223840

Names of 137338489061223840

• Cardinal: 137338489061223840 can be written as One hundred thirty-seven quadrillion, three hundred thirty-eight trillion, four hundred eighty-nine billion, sixty-one million, two hundred twenty-three thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3733848906122384 × 10¹⁷

Factors of 137338489061223840

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 18204609853

Divisors of 137338489061223840

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 32 36 39 40 45 48 52 60 62 65 72 78 80 90 93 96 104 117 120 124 130 144 155 156 160 169 180 186 195 208 234 240 248 260 279 288 310 312 338 360 372 390 403 416 465 468 480 496 507 520 558 585 620 624 676 720 744 780 806 845 930 936 992 1014 1040 1116 1170 1209 1240 1248 1352 1395 1440 1488 1521 1560 1612 1690 1860 1872 2015 2028 2080 2232 2340 2418 2480 2535 2704 2790 2976 3042 3120 3224 3380 3627 3720 3744 4030 4056 4464 4680 4836 4960 5070 5239 5408 5580 6045 6084 6240 6448 6760 7254 7440 7605 8060 8112 8928 9360 9672 10140 10478 11160 12090 12168 12896 13520 14508 14880 15210 15717 16120 16224 18135 18720 19344 20280 20956 22320 24180 24336 26195 27040 29016 30420 31434 32240 36270 38688 40560 41912 44640 47151 48360 48672 52390 58032 60840 62868 64480 72540 78585 81120 83824 94302 96720 104780 116064 121680 125736 145080 157170 167648 188604 193440 209560 235755 243360 251472 290160 314340 377208 419120 471510 502944 580320 628680 754416 838240 943020 1257360 1508832 1886040 2514720 3772080 7544160 18204609799 36409219598 54613829397 72818439196 91023048995 109227658794 145636878392 163841488191 182046097990 218455317588 236659927387 273069146985 291273756784 327682976382 364092195980 436910635176 473319854774 546138293970 564342903769 582547513568 655365952764 709979782161 728184391960 819207440955 873821270352 946639709548 1092276587940 1128685807538 1183299636935 1310731905528 1419959564322 1456368783920 1638414881910 1693028711307 1747642540704 1893279419096 2129939346483 2184553175880 2257371615076 2366599273870 2621463811056 2821714518845 2839919128644 2912737567840 3076579056031 3276829763820 3386057422614 3549898910805 3786558838192 4259878692966 4369106351760 4514743230152 4733198547740 5079086133921 5242927622112 5643429037690 5679838257288 6153158112062 6553659527640 6772114845228 7099797821610 7336457748997 7573117676384 8465143556535 8519757385932 8738212703520 9029486460304 9229737168093 9466397095480 10158172267842 10649696732415 11286858075380 11359676514576 12306316224124 13107319055280 13544229690456 14199595643220 14672915497994 15382895280155 16930287113070 17039514771864 18058972920608 18459474336186 18932794190960 20316344535684 21299393464830 22009373246991 22573716150760 22719353029152 24612632448248 25395430669605 26214638110560 27088459380912 27689211504279 28399191286440 29345830995988 30765790560310 33860574226140 34079029543728 36682288744985 36918948672372 37865588381920 40632689071368 42598786929660 44018746493982 45147432301520 46148685840465 49225264896496 50790861339210 54176918761824 55378423008558 56798382572880 58691661991976 61531581120620 66028119740973 67721148452280 68158059087456 73364577489970 73837897344744 81265378142736 85197573859320 88037492987964 90294864603040 92297371680930 95373950736961 98450529792992 101581722678420 110046866234955 110756846017116 113596765145760 117383323983952 123063162241240 132056239481946 135442296904560 138446057521395 146729154979940 147675794689488 162530756285472 170395147718640 176074985975928 184594743361860 190747901473922 203163445356840 220093732469910 221513692034232 234766647967904 246126324482480 264112478963892 270884593809120 276892115042790 286121852210883 293458309959880 295351589378976 330140598704865 340790295437280 352149971951856 369189486723720 381495802947844 406326890713680 440187464939820 443027384068464 476869753684805 492252648964960 528224957927784 553784230085580 572243704421766 586916619919760 660281197409730 704299943903712 738378973447440 762991605895688 812653781427360 858365556632649 880374929879640 886054768136928 953739507369610 1056449915855568 1107568460171160 1144487408843532 1173833239839520 1320562394819460 1430609261054415 1476757946894880 1525983211791376 1716731113265298 1760749859759280 1907479014739220 2112899831711136 2215136920342320 2288974817687064 2641124789638920 2861218522108830 3051966423582752 3433462226530596 3521499719518560 3814958029478440 4291827783163245 4430273840684640 4577949635374128 5282249579277840 5722437044217660 6866924453061192 7629916058956880 8583655566326490 9155899270748256 10564499158555680 11444874088435320 13733848906122384 15259832117913760 17167311132652980 22889748176870640 27467697812244768 34334622265305960 45779496353741280 68669244530611920 137338489061223840
• Sum of all divisors σ(n): 523862842174963200
• Sum of proper divisors (its aliquot sum) s(n): 386524353113739360
• 137338489061223840 is an abundant number, because the sum of its proper divisors (386524353113739360) is greater than itself. Its abundance is 249185864052515520

Bases of 137338489061223840

• Binary: 111100111111011001010000011001110011110111010110110100000₂
• Hexadecimal: 0x1E7ECA0CE7BADA0
• Base-36: 11KAFIVGCH40

Squares and roots of 137338489061223840

• 137338489061223840 squared (137338489061223840²) is 18861860577619900356503878584345600
• 137338489061223840 cubed (137338489061223840³) is 2590459432613779865399312367656020179625801519104000
• The square root of 137338489061223840 is 370592079.0589348795
• The cube root of 137338489061223840 is 515937.8882096851

Scales and comparisons

• 137,338,489,061,223,840 seconds is equal to 4,366,939,136 years, 16 weeks, 24 minutes.
• To count from 1 to 137,338,489,061,223,840 would take you about thirteen billion, one hundred million, eight hundred seventeen thousand, four hundred eight 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 137338489061223840 cubic inches would be around 42994.8 feet tall.

Recreational maths with 137338489061223840

• 137338489061223840 backwards is 048322160984833731
• 137338489061223840 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137338489061223840's digits is 72
• More coming soon!