137525920469309160000

Names of 137525920469309160000

• Cardinal: 137525920469309160000 can be written as One hundred thirty-seven quintillion, five hundred twenty-five quadrillion, nine hundred twenty trillion, four hundred sixty-nine billion, three hundred nine million, one hundred sixty thousand.

Scientific notation

• Scientific notation: 1.3752592046930916 × 10²⁰

Factors of 137525920469309160000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4431

Divisors of 137525920469309160000

• Number of divisors d(n): 315
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 144 150 160 180 192 200 225 240 250 288 300 320 360 375 400 450 480 500 576 600 625 720 750 800 900 960 1000 1125 1200 1250 1440 1500 1600 1800 1875 2000 2250 2400 2500 2880 3000 3600 3750 4000 4421 4500 4800 5000 5625 6000 7200 7500 8000 8842 9000 10000 11250 12000 13263 14400 15000 17684 18000 20000 22105 22500 24000 26526 30000 35368 36000 39789 40000 44210 45000 53052 60000 66315 70736 72000 79578 88420 90000 106104 110525 120000 132630 141472 159156 176840 180000 198945 212208 221050 265260 282944 318312 331575 353680 360000 397890 424416 442100 530520 552625 636624 663150 707360 795780 848832 884200 994725 1061040 1105250 1273248 1326300 1414720 1591560 1657875 1768400 1989450 2122080 2210500 2546496 2652600 2763125 3183120 3315750 3536800 3978900 4244160 4421000 4973625 5305200 5526250 6366240 6631500 7073600 7957800 8289375 8842000 9947250 10610400 11052500 12732480 13263000 15915600 16578750 17684000 19545241 19894500 21220800 22105000 24868125 26526000 31831200 33157500 35368000 39090482 39789000 44210000 49736250 53052000 58635723 63662400 66315000 78180964 79578000 88420000 97726205 99472500 106104000 117271446 132630000 156361928 159156000 175907169 176840000 195452410 198945000 234542892 265260000 293178615 312723856 318312000 351814338 390904820 397890000 469085784 488631025 530520000 586357230 625447712 703628676 781809640 795780000 879535845 938171568 977262050 1172714460 1250895424 1407257352 1465893075 1563619280 1591560000 1759071690 1876343136 1954524100 2345428920 2443155125 2814514704 2931786150 3127238560 3518143380 3752686272 3909048200 4397679225 4690857840 4886310250 5629029408 5863572300 6254477120 7036286760 7329465375 7818096400 8795358450 9381715680 9772620500 11258058816 11727144600 12215775625 14072573520 14658930750 15636192800 17590716900 18763431360 19545241000 21988396125 23454289200 24431551250 28145147040 29317861500 31272385600 35181433800 36647326875 39090482000 43976792250 46908578400 48863102500 56290294080 58635723000 70362867600 73294653750 78180964000 87953584500 93817156800 97726205000 109941980625 117271446000 140725735200 146589307500 156361928000 175907169000 195452410000 219883961250 234542892000 281451470400 293178615000 351814338000 390904820000 439767922500 469085784000 586357230000 703628676000 781809640000 879535845000 1172714460000 1407257352000 1759071690000 2345428920000 3518143380000 7036286760000
• Sum of all divisors σ(n): 137525938640963911753
• Sum of proper divisors (its aliquot sum) s(n): 18171654751753
• 137525920469309160000 is a deficient number, because the sum of its proper divisors (18171654751753) is less than itself. Its deficiency is 137525902297654408247

Bases of 137525920469309160000

• Binary: 1110111010010001110001110000000010111110101110010110111101001000000₂
• Hexadecimal: 0x7748E3805F5CB7A40
• Base-36: T0UVA49WOZKG0

Squares and roots of 137525920469309160000

• 137525920469309160000 squared (137525920469309160000²) is 18913378800930748207105487659905600000000
• 137525920469309160000 cubed (137525920469309160000³) is 2601079828782719921297149386725347198212662815296000000000000
• 137525920469309160000 is a perfect square number. Its square root is 11727144600
• The cube root of 137525920469309160000 is 5161724.8864196849

Scales and comparisons

• 137,525,920,469,309,160,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,525,920,469,309,160,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137525920469309160000 cubic inches would be around 430143.7 feet tall.

Recreational maths with 137525920469309160000

• 137525920469309160000 backwards is 000061903964029525731
• 137525920469309160000 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 137525920469309160000's digits is 72
• More coming soon!