137716408440

Names of 137716408440

• Cardinal: 137716408440 can be written as One hundred thirty-seven billion, seven hundred sixteen million, four hundred eight thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3771640844 × 10¹¹

Factors of 137716408440

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 485

Divisors of 137716408440

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 61 65 72 78 90 104 108 117 120 122 130 135 156 180 183 195 216 234 244 260 270 305 312 351 360 366 390 401 468 488 520 540 549 585 610 702 732 780 793 802 915 936 1080 1098 1170 1203 1220 1404 1464 1560 1586 1604 1647 1755 1830 2005 2196 2340 2379 2406 2440 2745 2808 3172 3208 3294 3510 3609 3660 3965 4010 4392 4680 4758 4812 5213 5490 6015 6344 6588 7020 7137 7218 7320 7930 8020 8235 9516 9624 10426 10827 10980 11895 12030 13176 14040 14274 14436 15639 15860 16040 16470 18045 19032 20852 21411 21654 21960 23790 24060 24461 26065 28548 28872 31278 31720 32940 35685 36090 41704 42822 43308 46917 47580 48120 48922 52130 54135 57096 62556 65880 71370 72180 73383 78195 85644 86616 93834 95160 97844 104260 107055 108270 122305 125112 140751 142740 144360 146766 156390 160801 171288 187668 195688 208520 214110 216540 220149 234585 244610 281502 285480 293532 312780 317993 321602 366915 375336 428220 433080 440298 469170 482403 489220 563004 587064 625560 635986 643204 660447 703755 733830 804005 856440 880596 938340 953979 964806 978440 1100745 1126008 1271972 1286408 1320894 1407510 1447209 1467660 1589965 1608010 1761192 1876680 1907958 1929612 2090413 2201490 2412015 2543944 2641788 2815020 2861937 2894418 2935320 3179930 3216020 3302235 3815916 3859224 4180826 4341627 4402980 4769895 4824030 5283576 5630040 5723874 5788836 6271239 6359860 6432040 6604470 7236045 7631832 8361652 8585811 8683254 8805960 9539790 9648060 9808861 10452065 11447748 11577672 12542478 12719720 13208940 14309685 14472090 16723304 17171622 17366508 18813717 19079580 19296120 19617722 20904130 21708135 22895496 25084956 26417880 28619370 28944180 29426583 31356195 34343244 34733016 37627434 38159160 39235444 41808260 42929055 43416270 49044305 50169912 56441151 57238740 57888360 58853166 62712390 68686488 75254868 78470888 83616520 85858110 86832540 88279749 94068585 98088610 112882302 114477480 117706332 125424780 127515193 147132915 150509736 171716220 173665080 176559498 188137170 196177220 225764604 235412664 250849560 255030386 264839247 282205755 294265830 343432440 353118996 376274340 382545579 392354440 441398745 451529208 510060772 529678494 564411510 588531660 637575965 706237992 752548680 765091158 882797490 1020121544 1059356988 1128823020 1147636737 1177063320 1275151930 1324196235 1530182316 1765594980 1912727895 2118713976 2257646040 2295273474 2550303860 2648392470 3060364632 3442910211 3531189960 3825455790 4590546948 5100607720 5296784940 5738183685 6885820422 7650911580 9181093896 10593569880 11476367370 13771640844 15301823160 17214551055 22952734740 27543281688 34429102110 45905469480 68858204220 137716408440
• Sum of all divisors σ(n): 503727134400
• Sum of proper divisors (its aliquot sum) s(n): 366010725960
• 137716408440 is an abundant number, because the sum of its proper divisors (366010725960) is greater than itself. Its abundance is 228294317520

Bases of 137716408440

• Binary: 10000000010000100010011010000001111000₂
• Hexadecimal: 0x201089A078
• Base-36: 1R9KSKU0

Squares and roots of 137716408440

• 137716408440 squared (137716408440²) is 18965809153612903233600
• 137716408440 cubed (137716408440³) is 2611903119794045283372654331584000
• The square root of 137716408440 is 371101.6147095025
• The cube root of 137716408440 is 5164.1069655647

Scales and comparisons

• 137,716,408,440 seconds is equal to 4,378 years, 49 weeks, 4 days, 21 hours, 54 minutes.
• To count from 1 to 137,716,408,440 would take you about eight thousand, seven hundred fifty-seven 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 137716408440 cubic inches would be around 430.3 feet tall.

Recreational maths with 137716408440

• 137716408440 backwards is 044804617731
• 137716408440 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137716408440's digits is 45
• More coming soon!