48564578669120000

Names of 48564578669120000

• Cardinal: 48564578669120000 can be written as Forty-eight quadrillion, five hundred sixty-four trillion, five hundred seventy-eight billion, six hundred sixty-nine million, one hundred twenty thousand.

Scientific notation

• Scientific notation: 4.856457866912 × 10¹⁶

Factors of 48564578669120000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 800350

Divisors of 48564578669120000

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 128 160 200 244 250 256 305 320 400 488 500 512 610 625 640 800 976 1000 1220 1250 1280 1525 1600 1952 2000 2440 2500 2560 3050 3121 3200 3904 4000 4880 5000 6100 6242 6400 7625 7808 8000 9760 10000 12200 12484 12800 15250 15605 15616 16000 19520 20000 24400 24968 30500 31210 31232 32000 38125 39040 40000 48800 49936 61000 62420 64000 76250 78025 78080 80000 97600 99872 122000 124840 152500 156050 156160 160000 190381 195200 199744 244000 249680 305000 312100 320000 380762 390125 390400 399488 488000 499360 610000 624200 761524 780250 780800 797161 798976 951905 976000 998720 1220000 1248400 1523048 1560500 1594322 1597952 1903810 1950625 1952000 1997440 2440000 2496800 3046096 3121000 3188644 3807620 3901250 3904000 3985805 3994880 4759525 4880000 4993600 6092192 6242000 6377288 7615240 7802500 7971610 7989760 9519050 9760000 9987200 12184384 12484000 12754576 15230480 15605000 15943220 19038100 19520000 19929025 19974400 23797625 24368768 24968000 25509152 30460960 31210000 31886440 38076200 39858050 39948800 47595250 48626821 48737536 49936000 51018304 60921920 62420000 63772880 76152400 79716100 95190500 97253642 97475072 99645125 99872000 102036608 118988125 121843840 124840000 127545760 152304800 159432200 190381000 194507284 199290250 199744000 204073216 237976250 243134105 243687680 249680000 255091520 304609600 318864400 380762000 389014568 398580500 408146432 475952500 486268210 487375360 498225625 499360000 510183040 609219200 637728800 761524000 778029136 797161000 951905000 972536420 996451250 998720000 1020366080 1215670525 1218438400 1275457600 1523048000 1556058272 1594322000 1903810000 1945072840 1992902500 2040732160 2431341050 2436876800 2487939481 2550915200 3046096000 3112116544 3188644000 3807620000 3890145680 3985805000 4862682100 4975878962 5101830400 6078352625 6092192000 6224233088 6377288000 7615240000 7780291360 7971610000 9725364200 9951757924 10203660800 12156705250 12184384000 12439697405 12448466176 12754576000 15230480000 15560582720 15943220000 19450728400 19903515848 24313410500 24879394810 24896932352 25509152000 30391763125 30460960000 31121165440 31886440000 38901456800 39807031696 48626821000 49758789620 51018304000 60783526250 60921920000 62198487025 62242330880 63772880000 77802913600 79614063392 97253642000 99517579240 121567052500 124396974050 124484661760 127545760000 151764308341 155605827200 159228126784 194507284000 199035158480 243134105000 248793948100 255091520000 303528616682 310992435125 311211654400 318456253568 389014568000 398070316960 486268210000 497587896200 607057233364 621984870250 622423308800 636912507136 758821541705 778029136000 796140633920 972536420000 995175792400 1214114466728 1243969740500 1273825014272 1517643083410 1554962175625 1556058272000 1592281267840 1945072840000 1990351584800 2428228933456 2487939481000 3035286166820 3109924351250 3112116544000 3184562535680 3794107708525 3890145680000 3980703169600 4856457866912 4975878962000 6070572333640 6219848702500 6369125071360 7588215417050 7780291360000 7961406339200 9712915733824 9951757924000 12141144667280 12439697405000 15176430834100 15560582720000 15922812678400 18970538542625 19425831467648 19903515848000 24282289334560 24879394810000 30352861668200 31845625356800 37941077085250 38851662935296 39807031696000 48564578669120 49758789620000 60705723336400 75882154170500 77703325870592 79614063392000 94852692713125 97129157338240 99517579240000 121411446672800 151764308341000 159228126784000 189705385426250 194258314676480 199035158480000 242822893345600 303528616682000 379410770852500 388516629352960 398070316960000 485645786691200 607057233364000 758821541705000 796140633920000 971291573382400 1214114466728000 1517643083410000 1942583146764800 2428228933456000 3035286166820000 4856457866912000 6070572333640000 9712915733824000 12141144667280000 24282289334560000 48564578669120000
• Sum of all divisors σ(n): 123281481260013384
• Sum of proper divisors (its aliquot sum) s(n): 74716902590893384
• 48564578669120000 is an abundant number, because the sum of its proper divisors (74716902590893384) is greater than itself. Its abundance is 26152323921773384

Bases of 48564578669120000

• Binary: 10101100100010010011101000011100001111010100101000000000₂
• Hexadecimal: 0xAC893A1C3D4A00
• Base-36: DA6PFFZBWU8

Squares and roots of 48564578669120000

• 48564578669120000 squared (48564578669120000²) is 2358518301309145310441574400000000
• 48564578669120000 cubed (48564578669120000³) is 114540447586487255314249364514269462528000000000000
• The square root of 48564578669120000 is 220373724.9971511463
• The cube root of 48564578669120000 is 364843.4398782359

Scales and comparisons

• 48,564,578,669,120,000 seconds is equal to 1,544,203,381 years, 29 weeks, 5 days, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 48,564,578,669,120,000 would take you about four billion, six hundred thirty-two million, six hundred ten thousand, one hundred forty-four 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 48564578669120000 cubic inches would be around 30403.6 feet tall.

Recreational maths with 48564578669120000

• 48564578669120000 backwards is 00002196687546584
• The number of decimal digits it has is: 17
• The sum of 48564578669120000's digits is 71
• More coming soon!