138364898819048000

Names of 138364898819048000

• Cardinal: 138364898819048000 can be written as One hundred thirty-eight quadrillion, three hundred sixty-four trillion, eight hundred ninety-eight billion, eight hundred nineteen million, forty-eight thousand.

Scientific notation

• Scientific notation: 1.38364898819048 × 10¹⁷

Factors of 138364898819048000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2369

Divisors of 138364898819048000

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 160 176 200 220 242 250 275 320 352 400 440 484 500 550 605 704 800 880 968 1000 1100 1210 1331 1375 1600 1760 1936 2000 2200 2351 2420 2662 2750 3025 3520 3872 4000 4400 4702 4840 5324 5500 6050 6655 7744 8000 8800 9404 9680 10648 11000 11755 12100 13310 15125 17600 18808 19360 21296 22000 23510 24200 25861 26620 30250 33275 37616 38720 42592 44000 47020 48400 51722 53240 58775 60500 66550 75232 85184 88000 94040 96800 103444 106480 117550 121000 129305 133100 150464 166375 188080 193600 206888 212960 235100 242000 258610 266200 284471 293875 332750 376160 413776 425920 470200 484000 517220 532400 568942 587750 646525 665500 752320 827552 940400 968000 1034440 1064800 1137884 1175500 1293050 1331000 1422355 1655104 1880800 2068880 2129600 2275768 2351000 2586100 2662000 2844710 3129181 3232625 3761600 4137760 4551536 4702000 5172200 5324000 5527201 5689420 6258362 6465250 7111775 8275520 9103072 9404000 10344400 10648000 11054402 11378840 12516724 12930500 14223550 15645905 18206144 18808000 20688800 22108804 22757680 25033448 25861000 27636005 28447100 31291810 35558875 41377600 44217608 45515360 50066896 51722000 55272010 56894200 60799211 62583620 71117750 78229525 88435216 91030720 100133792 103444000 110544020 113788400 121598422 125167240 138180025 142235500 156459050 176870432 200267584 206888000 221088040 227576800 243196844 250334480 276360050 284471000 303996055 312918100 353740864 391147625 442176080 455153600 486393688 500668960 552720100 568942000 607992110 625836200 668791321 690900125 782295250 884352160 972787376 1001337920 1105440200 1137884000 1215984220 1251672400 1337582642 1381800250 1519980275 1564590500 1768704320 1945574752 2210880400 2275768000 2431968440 2503344800 2675165284 2763600500 3039960550 3129181000 3343956605 3891149504 4421760800 4863936880 5006689600 5350330568 5527201000 6079921100 6258362000 6687913210 7356704531 7599901375 8843521600 9727873760 10700661136 11054402000 12159842200 12516724000 13375826420 14713409062 15199802750 16719783025 19455747520 21401322272 22108804000 24319684400 25033448000 26751652840 29426818124 30399605500 33439566050 36783522655 42802644544 44217608000 48639368800 53503305680 58853636248 60799211000 66879132100 73567045310 83598915125 97278737600 107006611360 117707272496 121598422000 133758264200 147134090620 167197830250 183917613275 214013222720 235414544992 243196844000 267516528400 294268181240 334395660500 367835226550 470829089984 486393688000 535033056800 588536362480 668791321000 735670453100 919588066375 1070066113600 1177072724960 1337582642000 1471340906200 1839176132750 2354145449920 2675165284000 2942681812400 3678352265500 5350330568000 5885363624800 7356704531000 11770727249600 14713409062000 29426818124000 58853636248000
• Sum of all divisors σ(n): 138466428584708704
• Sum of proper divisors (its aliquot sum) s(n): 101529765660704
• 138364898819048000 is a deficient number, because the sum of its proper divisors (101529765660704) is less than itself. Its deficiency is 138263369053387296

Bases of 138364898819048000

• Binary: 111101011100100100010010001110011011111100000001001000000₂
• Hexadecimal: 0x1EB9224737E0240
• Base-36: 11UE9H091GE8

Squares and roots of 138364898819048000

• 138364898819048000 squared (138364898819048000²) is 19144845225205390625047626304000000
• 138364898819048000 cubed (138364898819048000³) is 2648974572491878094898895839359085221038592000000000
• The square root of 138364898819048000 is 371974325.4836924899
• 138364898819048000 is a perfect cube number. Its cube root is 517220

Scales and comparisons

• 138,364,898,819,048,000 seconds is equal to 4,399,575,791 years, 37 weeks, 10 hours, 13 minutes, 20 seconds.
• To count from 1 to 138,364,898,819,048,000 would take you about thirteen billion, one hundred ninety-eight million, seven hundred twenty-seven thousand, three hundred seventy-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 138364898819048000 cubic inches would be around 43101.7 feet tall.

Recreational maths with 138364898819048000

• 138364898819048000 backwards is 000840918898463831
• 138364898819048000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138364898819048000's digits is 80
• More coming soon!