137898145328764800

Names of 137898145328764800

• Cardinal: 137898145328764800 can be written as One hundred thirty-seven quadrillion, eight hundred ninety-eight trillion, one hundred forty-five billion, three hundred twenty-eight million, seven hundred sixty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 1.378981453287648 × 10¹⁷

Factors of 137898145328764800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 120709160861

Divisors of 137898145328764800

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 50 51 56 60 64 68 70 75 80 84 85 96 100 102 105 112 119 120 128 136 140 150 160 168 170 175 192 200 204 210 224 238 240 255 272 280 300 320 336 340 350 357 384 400 408 420 425 448 476 480 510 525 544 560 595 600 640 672 680 700 714 800 816 840 850 896 952 960 1020 1050 1088 1120 1190 1200 1275 1344 1360 1400 1428 1600 1632 1680 1700 1785 1904 1920 2040 2100 2176 2240 2380 2400 2550 2688 2720 2800 2856 2975 3200 3264 3360 3400 3570 3808 4080 4200 4480 4760 4800 5100 5440 5600 5712 5950 6528 6720 6800 7140 7616 8160 8400 8925 9520 9600 10200 10880 11200 11424 11900 13440 13600 14280 15232 16320 16800 17850 19040 20400 22400 22848 23800 27200 28560 32640 33600 35700 38080 40800 45696 47600 54400 57120 67200 71400 76160 81600 95200 114240 142800 163200 190400 228480 285600 380800 571200 1142400 120709160827 241418321654 362127482481 482836643308 603545804135 724254964962 844964125789 965673286616 1207091608270 1448509929924 1689928251578 1810637412405 1931346573232 2052055734059 2414183216540 2534892377367 2897019859848 3017729020675 3379856503156 3621274824810 3862693146464 4104111468118 4224820628945 4828366433080 5069784754734 5794039719696 6035458041350 6156167202177 6759713006312 7242549649620 7725386292928 8208222936236 8449641257890 9053187062025 9656732866160 10139569509468 10260278670295 11588079439392 12070916082700 12312334404354 12674461886835 13519426012624 14364390138413 14485099299240 15450772585856 16416445872472 16899282515780 18106374124050 19313465732320 20279139018936 20520557340590 21124103144725 23176158878784 24141832165400 24624668808708 25348923773670 27038852025248 28728780276826 28970198598480 30780836010885 32832891744944 33798565031560 36212748248100 38626931464640 40558278037872 41041114681180 42248206289450 43093170415239 46352317757568 48283664330800 49249337617416 50697847547340 51301393351475 54077704050496 57457560553652 57940397196960 61561672021770 63372309434175 65665783489888 67597130063120 71821950692065 72425496496200 77253862929280 81116556075744 82082229362360 84496412578900 86186340830478 96567328661600 98498675234832 101395695094680 102602786702950 108155408100992 114915121107304 115880794393920 123123344043540 126744618868350 131331566979776 135194260126240 143643901384130 144850992992400 153904180054425 162233112151488 164164458724720 168992825157800 172372681660956 193134657323200 196997350469664 202791390189360 205205573405900 215465852076195 229830242214608 231761588787840 246246688087080 253489237736700 262663133959552 270388520252480 287287802768260 289701985984800 307808360108850 324466224302976 328328917449440 337985650315600 344745363321912 359109753460325 386269314646400 393994700939328 405582780378720 410411146811800 430931704152390 459660484429216 492493376174160 506978475473400 540777040504960 574575605536520 579403971969600 615616720217700 656657834898880 675971300631200 689490726643824 718219506920650 787989401878656 811165560757440 820822293623600 861863408304780 919320968858432 984986752348320 1013956950946800 1077329260380975 1149151211073040 1158807943939200 1231233440435400 1313315669797760 1351942601262400 1378981453287648 1436439013841300 1622331121514880 1641644587247200 1723726816609560 1838641937716864 1969973504696640 2027913901893600 2154658520761950 2298302422146080 2462466880870800 2703885202524800 2757962906575296 2872878027682600 3283289174494400 3447453633219120 3939947009393280 4055827803787200 4309317041523900 4596604844292160 4924933761741600 5515925813150592 5745756055365200 6566578348988800 6894907266438240 8111655607574400 8618634083047800 9193209688584320 9849867523483200 11491512110730400 13789814532876480 17237268166095600 19699735046966400 22983024221460800 27579629065752960 34474536332191200 45966048442921600 68949072664382400 137898145328764800
• Sum of all divisors σ(n): 549622607814915840
• Sum of proper divisors (its aliquot sum) s(n): 411724462486151040
• 137898145328764800 is an abundant number, because the sum of its proper divisors (411724462486151040) is greater than itself. Its abundance is 273826317157386240

Bases of 137898145328764800

• Binary: 111101001111010011010000111101111100000011001011110000000₂
• Hexadecimal: 0x1E9E9A1EF819780
• Base-36: 11PST9EW56DC

Squares and roots of 137898145328764800

• 137898145328764800 squared (137898145328764800²) is 19015898485113137230678293719040000
• 137898145328764800 cubed (137898145328764800³) is 2622257132857169801519497334637270279681441792000000
• The square root of 137898145328764800 is 371346395.3356283759
• The cube root of 137898145328764800 is 516637.7564527253

Scales and comparisons

• 137,898,145,328,764,800 seconds is equal to 4,384,734,474 years, 25 weeks, 1 day, 13 hours, 20 minutes.
• To count from 1 to 137,898,145,328,764,800 would take you about thirteen billion, one hundred fifty-four million, two hundred three thousand, four hundred twenty-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 137898145328764800 cubic inches would be around 43053.1 feet tall.

Recreational maths with 137898145328764800

• 137898145328764800 backwards is 008467823541898731
• 137898145328764800 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137898145328764800's digits is 84
• More coming soon!