138272020306788956738789120

Names of 138272020306788956738789120

• Cardinal: 138272020306788956738789120 can be written as One hundred thirty-eight septillion, two hundred seventy-two sextillion, twenty quintillion, three hundred six quadrillion, seven hundred eighty-eight trillion, nine hundred fifty-six billion, seven hundred thirty-eight million, seven hundred eighty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3827202030678895673878912 × 10²⁶

Factors of 138272020306788956738789120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 24493241286972888

Divisors of 138272020306788956738789120

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 992 1240 1280 1984 2480 3968 4960 7936 9920 19840 39680 142271 284542 569084 711355 1138168 1422710 2276336 2845420 4410401 4552672 5690840 8820802 9105344 11381680 17641604 18210688 22052005 22763360 35283208 36421376 44104010 45526720 70566416 88208020 91053440 141132832 176416040 182106880 282265664 352832080 564531328 705664160 1129062656 1411328320 2822656640 5645313280 24493241286830579 48986482573661158 97972965147322316 122466206434152895 195945930294644632 244932412868305790 391891860589289264 489864825736611580 759290479891747949 783783721178578528 979729651473223160 1518580959783495898 1567567442357157056 1959459302946446320 3037161919566991796 3135134884714314112 3796452399458739745 3918918605892892640 6074323839133983592 6270269769428628224 7592904798917479490 7837837211785785280 12148647678267967184 15185809597834958980 15675674423571570560 24297295356535934368 30371619195669917960 31351348847143141120 48594590713071868736 60743238391339835920 97189181426143737472 121486476782679671840 194378362852287474944 242972953565359343680 485945907130718687360 971891814261437374720 3484677931118673304909 6969355862237346609818 13938711724474693219636 17423389655593366524545 27877423448949386439272 34846779311186733049090 55754846897898772878544 69693558622373466098180 108025015864678872452179 111509693795797545757088 139387117244746932196360 216050031729357744904358 223019387591595091514176 278774234489493864392720 432100063458715489808716 446038775183190183028352 540125079323394362260895 557548468978987728785440 864200126917430979617432 892077550366380366056704 1080250158646788724521790 1115096937957975457570880 1728400253834861959234864 2160500317293577449043580 2230193875915950915141760 3456800507669723918469728 4321000634587154898087160 4460387751831901830283520 6913601015339447836939456 8642001269174309796174320 13827202030678895673878912 17284002538348619592348640 27654404061357791347757824 34568005076697239184697280 69136010153394478369394560 138272020306788956738789120
• Sum of all divisors σ(n): 341891124258804422771589120
• Sum of proper divisors (its aliquot sum) s(n): 203619103952015466032800000
• 138272020306788956738789120 is an abundant number, because the sum of its proper divisors (203619103952015466032800000) is greater than itself. Its abundance is 65347083645226509294010880

Bases of 138272020306788956738789120

• Binary: 111001001100000001111010011110110010011010011110100110010101011001111011001111100000000₂
• Hexadecimal: 0x72603D3D934F4CAB3D9F00
• Base-36: HDGF1ER1Q199CVLKW

Squares and roots of 138272020306788956738789120

• 138272020306788956738789120 squared (138272020306788956738789120²) is 19119151599721057618049431929719422203726803830374400
• 138272020306788956738789120 cubed (138272020306788956738789120³) is 2643643718245206646393257756136546922561879536431484877425149387381332246528000
• The square root of 138272020306788956738789120 is 11758912377715.4218889405
• The cube root of 138272020306788956738789120 is 517104244.7824619511

Scales and comparisons

• 138,272,020,306,788,956,738,789,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,272,020,306,788,956,738,789,120 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 138272020306788956738789120 cubic inches would be around 43092020.4 feet tall.

Recreational maths with 138272020306788956738789120

• 138272020306788956738789120 backwards is 021987837659887603020272831
• The number of decimal digits it has is: 27
• The sum of 138272020306788956738789120's digits is 122
• More coming soon!