2138388224000

Names of 2138388224000

• Cardinal: 2138388224000 can be written as Two trillion, one hundred thirty-eight billion, three hundred eighty-eight million, two hundred twenty-four thousand.

Scientific notation

• Scientific notation: 2.138388224 × 10¹²

Factors of 2138388224000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 85

Divisors of 2138388224000

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 71 80 98 100 112 125 128 140 142 160 175 196 200 224 245 250 256 280 284 320 343 350 355 392 400 448 490 497 500 512 560 568 640 686 700 710 784 800 875 896 980 994 1000 1024 1120 1136 1225 1280 1372 1400 1420 1568 1600 1715 1750 1775 1792 1960 1988 2000 2048 2240 2272 2401 2450 2485 2560 2744 2800 2840 3136 3200 3430 3479 3500 3550 3584 3920 3976 4000 4480 4544 4802 4900 4970 5120 5488 5600 5680 6125 6272 6400 6860 6958 7000 7100 7168 7840 7952 8000 8575 8875 8960 9088 9604 9800 9940 10240 10976 11200 11360 12005 12250 12425 12544 12800 13720 13916 14000 14200 14336 15680 15904 16000 16807 17150 17395 17750 17920 18176 19208 19600 19880 21952 22400 22720 24010 24353 24500 24850 25088 25600 27440 27832 28000 28400 31360 31808 32000 33614 34300 34790 35500 35840 36352 38416 39200 39760 42875 43904 44800 45440 48020 48706 49000 49700 50176 51200 54880 55664 56000 56800 60025 62125 62720 63616 64000 67228 68600 69580 71000 71680 72704 76832 78400 79520 84035 85750 86975 87808 89600 90880 96040 97412 98000 99400 100352 109760 111328 112000 113600 117649 120050 121765 124250 125440 127232 128000 134456 137200 139160 142000 145408 153664 156800 159040 168070 170471 171500 173950 175616 179200 181760 192080 194824 196000 198800 219520 222656 224000 227200 235298 240100 243530 248500 250880 254464 256000 268912 274400 278320 284000 300125 307328 313600 318080 336140 340942 343000 347900 351232 358400 363520 384160 389648 392000 397600 420175 434875 439040 445312 448000 454400 470596 480200 487060 497000 501760 508928 537824 548800 556640 568000 588245 600250 608825 614656 627200 636160 672280 681884 686000 695800 702464 727040 768320 779296 784000 795200 840350 852355 869750 878080 890624 896000 908800 941192 960400 974120 994000 1017856 1075648 1097600 1113280 1136000 1176490 1193297 1200500 1217650 1229312 1254400 1272320 1344560 1363768 1372000 1391600 1536640 1558592 1568000 1590400 1680700 1704710 1739500 1756160 1781248 1792000 1817600 1882384 1920800 1948240 1988000 2100875 2151296 2195200 2226560 2272000 2352980 2386594 2401000 2435300 2458624 2508800 2544640 2689120 2727536 2744000 2783200 2941225 3044125 3073280 3117184 3136000 3180800 3361400 3409420 3479000 3512320 3562496 3635200 3764768 3841600 3896480 3976000 4201750 4261775 4302592 4390400 4453120 4544000 4705960 4773188 4802000 4870600 4917248 5089280 5378240 5455072 5488000 5566400 5882450 5966485 6088250 6146560 6234368 6272000 6361600 6722800 6818840 6958000 7124992 7529536 7683200 7792960 7952000 8353079 8403500 8523550 8605184 8780800 8906240 9088000 9411920 9546376 9604000 9741200 10756480 10910144 10976000 11132800 11764900 11932970 12176500 12293120 12468736 12544000 12723200 13445600 13637680 13916000 14706125 15059072 15366400 15585920 15904000 16706158 16807000 17047100 17210368 17561600 17812480 18176000 18823840 19092752 19208000 19482400 21308875 21512960 21820288 21952000 22265600 23529800 23865940 24353000 24586240 24937472 25446400 26891200 27275360 27832000 29412250 29832425 30118144 30732800 31171840 31808000 33412316 33614000 34094200 34420736 35624960 37647680 38185504 38416000 38964800 41765395 42617750 43025920 43640576 43904000 44531200 47059600 47731880 48706000 49874944 53782400 54550720 55664000 58824500 59664850 60236288 61465600 62343680 63616000 66824632 67228000 68188400 75295360 76371008 76832000 77929600 83530790 85235500 86051840 87281152 87808000 89062400 94119200 95463760 97412000 107564800 109101440 111328000 117649000 119329700 120472576 122931200 124687360 127232000 133649264 134456000 136376800 149162125 150590720 152742016 153664000 155859200 167061580 170471000 172103680 174562304 178124800 188238400 190927520 194824000 208826975 215129600 218202880 222656000 235298000 238659400 240945152 249374720 267298528 268912000 272753600 298324250 301181440 305484032 307328000 311718400 334123160 340942000 349124608 376476800 381855040 389648000 417653950 430259200 436405760 445312000 470596000 477318800 534597056 537824000 545507200 596648500 602362880 610968064 614656000 623436800 668246320 681884000 752953600 763710080 779296000 835307900 860518400 872811520 890624000 941192000 954637600 1044134875 1069194112 1075648000 1091014400 1193297000 1204725760 1221936128 1246873600 1336492640 1363768000 1505907200 1527420160 1558592000 1670615800 1745623040 1882384000 1909275200 2088269750 2138388224 2151296000 2182028800 2386594000 2443872256 2672985280 2727536000 3011814400 3054840320 3117184000 3341231600 3764768000 3818550400 4176539500 4276776448 4302592000 4364057600 4773188000 5345970560 5455072000 6023628800 6109680640 6234368000 6682463200 7529536000 7637100800 8353079000 8553552896 8728115200 9546376000 10691941120 10910144000 12219361280 13364926400 15059072000 15274201600 16706158000 17107105792 19092752000 21383882240 21820288000 26729852800 30118144000 30548403200 33412316000 38185504000 42767764480 43640576000 53459705600 61096806400 66824632000 76371008000 85535528960 106919411200 133649264000 152742016000 213838822400 267298528000 305484032000 427677644800 534597056000 1069194112000 2138388224000
• Sum of all divisors σ(n): 6313141205280
• Sum of proper divisors (its aliquot sum) s(n): 4174752981280
• 2138388224000 is an abundant number, because the sum of its proper divisors (4174752981280) is greater than itself. Its abundance is 2036364757280

Bases of 2138388224000

• Binary: 11111000111100001110111101101100000000000₂
• Hexadecimal: 0x1F1E1DED800
• Base-36: RAD14XKW

Squares and roots of 2138388224000

• 2138388224000 squared (2138388224000²) is 4572704196541874176000000
• 2138388224000 cubed (2138388224000³) is 9778216805720525260848103424000000000
• The square root of 2138388224000 is 1462322.8863694913
• The cube root of 2138388224000 is 12883.3513648271

Scales and comparisons

• 2,138,388,224,000 seconds is equal to 67,994 years, 6 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 2,138,388,224,000 would take you about one hundred sixty-nine thousand, nine hundred eighty-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 2138388224000 cubic inches would be around 1073.6 feet tall.

Recreational maths with 2138388224000

• 2138388224000 backwards is 0004228838312
• The number of decimal digits it has is: 13
• The sum of 2138388224000's digits is 41
• More coming soon!