137221489152000000

Names of 137221489152000000

• Cardinal: 137221489152000000 can be written as One hundred thirty-seven quadrillion, two hundred twenty-one trillion, four hundred eighty-nine billion, one hundred fifty-two million.

Scientific notation

• Scientific notation: 1.37221489152 × 10¹⁷

Factors of 137221489152000000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 87

Divisors of 137221489152000000

• Number of divisors d(n): 7168
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 29 30 32 33 36 37 40 44 45 48 50 54 55 58 60 64 66 72 74 75 80 87 88 90 96 99 100 108 110 111 116 120 125 128 132 135 144 145 148 150 160 165 174 176 180 185 192 198 200 216 220 222 225 232 240 250 256 261 264 270 275 288 290 296 297 300 319 320 330 333 348 352 360 370 375 384 396 400 407 432 435 440 444 450 464 480 495 500 512 522 528 540 550 555 576 580 592 594 600 625 638 640 660 666 675 696 704 720 725 740 750 768 783 792 800 814 825 841 864 870 880 888 900 925 928 957 960 990 999 1000 1024 1044 1056 1073 1080 1100 1110 1125 1152 1160 1184 1188 1200 1221 1250 1276 1280 1305 1320 1332 1350 1375 1392 1408 1440 1450 1480 1485 1500 1536 1566 1584 1595 1600 1628 1650 1665 1682 1728 1740 1760 1776 1800 1850 1856 1875 1914 1920 1980 1998 2000 2035 2048 2088 2112 2146 2160 2175 2200 2220 2250 2304 2320 2368 2376 2400 2442 2475 2500 2523 2552 2560 2610 2640 2664 2700 2750 2775 2784 2816 2871 2880 2900 2960 2970 3000 3072 3125 3132 3168 3190 3200 3219 3256 3300 3330 3364 3375 3456 3480 3520 3552 3600 3625 3663 3700 3712 3750 3828 3840 3915 3960 3996 4000 4070 4096 4125 4176 4205 4224 4292 4320 4350 4400 4440 4500 4608 4625 4640 4736 4752 4785 4800 4884 4950 4995 5000 5046 5104 5120 5220 5280 5328 5365 5400 5500 5550 5568 5625 5632 5742 5760 5800 5920 5940 6000 6105 6144 6250 6264 6336 6380 6400 6438 6512 6525 6600 6660 6728 6750 6875 6912 6960 7040 7104 7200 7250 7326 7400 7424 7425 7500 7569 7656 7680 7830 7920 7975 7992 8000 8140 8192 8250 8325 8352 8410 8448 8584 8613 8640 8700 8800 8880 9000 9216 9250 9251 9280 9375 9472 9504 9570 9600 9657 9768 9900 9990 10000 10092 10175 10208 10240 10440 10560 10656 10730 10800 10875 10989 11000 11100 11136 11250 11264 11484 11520 11600 11803 11840 11880 12000 12210 12288 12375 12500 12528 12615 12672 12760 12800 12876 13024 13050 13200 13320 13456 13500 13750 13824 13875 13920 14080 14208 14355 14400 14500 14652 14800 14848 14850 15000 15138 15312 15360 15625 15660 15840 15950 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5488859566080000 5717562048000000 6237340416000000 6861074457600000 7623416064000000 8576343072000000 9148099276800000 11435124096000000 12474680832000000 13722148915200000 15246832128000000 17152686144000000 22870248192000000 27444297830400000 34305372288000000 45740496384000000 68610744576000000 137221489152000000
• Sum of all divisors σ(n): 589733724436704000
• Sum of proper divisors (its aliquot sum) s(n): 452512235284704000
• 137221489152000000 is an abundant number, because the sum of its proper divisors (452512235284704000) is greater than itself. Its abundance is 315290746132704000

Bases of 137221489152000000

• Binary: 111100111100000100011011110100100011101001000000000000000₂
• Hexadecimal: 0x1E78237A4748000
• Base-36: 11J4YHUV8QO0

Squares and roots of 137221489152000000

• 137221489152000000 squared (137221489152000000²) is 18829737085092453679104000000000000
• 137221489152000000 cubed (137221489152000000³) is 2583844563157026233444232025079808000000000000000000
• The square root of 137221489152000000 is 370434190.0419020447
• The cube root of 137221489152000000 is 515791.3358572751

Scales and comparisons

• 137,221,489,152,000,000 seconds is equal to 4,363,218,901 years, 5 weeks, 1 day.
• To count from 1 to 137,221,489,152,000,000 would take you about thirteen billion, eighty-nine million, six hundred fifty-six thousand, seven hundred three 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 137221489152000000 cubic inches would be around 42982.6 feet tall.

Recreational maths with 137221489152000000

• 137221489152000000 backwards is 000000251984122731
• 137221489152000000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137221489152000000's digits is 45
• More coming soon!