146988728320000

Names of 146988728320000

• Cardinal: 146988728320000 can be written as One hundred forty-six trillion, nine hundred eighty-eight billion, seven hundred twenty-eight million, three hundred twenty thousand.

Scientific notation

• Scientific notation: 1.4698872832 × 10¹⁴

Factors of 146988728320000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 193

Divisors of 146988728320000

• Number of divisors d(n): 630
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 179 200 224 250 256 280 320 350 358 400 448 500 512 560 625 640 700 716 800 875 895 896 1000 1024 1120 1250 1253 1280 1400 1432 1600 1750 1790 1792 2000 2048 2240 2500 2506 2560 2800 2864 3200 3500 3580 3584 4000 4096 4375 4475 4480 5000 5012 5120 5600 5728 6265 6400 7000 7160 7168 8000 8192 8750 8950 8960 10000 10024 10240 11200 11456 12530 12800 14000 14320 14336 16000 16384 17500 17900 17920 20000 20048 20480 22375 22400 22912 25060 25600 28000 28640 28672 31325 32000 32041 32768 35000 35800 35840 40000 40096 40960 44750 44800 45824 50120 51200 56000 57280 57344 62650 64000 64082 65536 70000 71600 71680 80000 80192 81920 89500 89600 91648 100240 102400 111875 112000 114560 114688 125300 128000 128164 131072 140000 143200 143360 156625 160000 160205 160384 163840 179000 179200 183296 200480 204800 223750 224000 224287 229120 229376 250600 256000 256328 262144 280000 286400 286720 313250 320000 320410 320768 327680 358000 358400 366592 400960 409600 447500 448000 448574 458240 458752 501200 512000 512656 524288 560000 572800 573440 626500 640000 640820 641536 655360 716000 716800 733184 783125 801025 801920 819200 895000 896000 897148 916480 917504 1002400 1024000 1025312 1048576 1120000 1121435 1145600 1146880 1253000 1280000 1281640 1283072 1310720 1432000 1433600 1466368 1566250 1602050 1603840 1638400 1790000 1792000 1794296 1832960 1835008 2004800 2048000 2050624 2240000 2242870 2291200 2293760 2506000 2560000 2563280 2566144 2621440 2864000 2867200 2932736 3132500 3204100 3207680 3276800 3580000 3584000 3588592 3665920 3670016 4005125 4009600 4096000 4101248 4480000 4485740 4582400 4587520 5012000 5120000 5126560 5132288 5242880 5607175 5728000 5734400 5865472 6265000 6408200 6415360 6553600 7160000 7168000 7177184 7331840 7340032 8010250 8019200 8192000 8202496 8960000 8971480 9164800 9175040 10024000 10240000 10253120 10264576 11214350 11456000 11468800 11730944 12530000 12816400 12830720 13107200 14320000 14336000 14354368 14663680 16020500 16038400 16384000 16404992 17920000 17942960 18329600 18350080 20025625 20048000 20480000 20506240 20529152 22428700 22912000 22937600 23461888 25060000 25632800 25661440 26214400 28035875 28640000 28672000 28708736 29327360 32041000 32076800 32768000 32809984 35840000 35885920 36659200 36700160 40051250 40096000 40960000 41012480 41058304 44857400 45824000 45875200 46923776 50120000 51265600 51322880 56071750 57280000 57344000 57417472 58654720 64082000 64153600 65536000 65619968 71680000 71771840 73318400 80102500 80192000 81920000 82024960 82116608 89714800 91648000 91750400 93847552 100240000 102531200 102645760 112143500 114560000 114688000 114834944 117309440 128164000 128307200 131072000 131239936 140179375 143360000 143543680 146636800 160205000 160384000 163840000 164049920 164233216 179429600 183296000 183500800 187695104 200480000 205062400 205291520 224287000 229120000 229376000 229669888 234618880 256328000 256614400 262479872 280358750 286720000 287087360 293273600 320410000 320768000 327680000 328099840 328466432 358859200 366592000 400960000 410124800 410583040 448574000 458240000 458752000 459339776 469237760 512656000 513228800 524959744 560717500 573440000 574174720 586547200 640820000 641536000 655360000 656199680 656932864 717718400 733184000 801920000 820249600 821166080 897148000 916480000 917504000 918679552 938475520 1025312000 1026457600 1049919488 1121435000 1146880000 1148349440 1173094400 1281640000 1283072000 1312399360 1313865728 1435436800 1466368000 1603840000 1640499200 1642332160 1794296000 1832960000 1837359104 2050624000 2052915200 2099838976 2242870000 2293760000 2296698880 2346188800 2563280000 2566144000 2624798720 2870873600 2932736000 3207680000 3280998400 3284664320 3588592000 3665920000 3674718208 4101248000 4105830400 4199677952 4485740000 4587520000 4593397760 4692377600 5126560000 5132288000 5249597440 5741747200 5865472000 6415360000 6561996800 6569328640 7177184000 7331840000 7349436416 8202496000 8211660800 8399355904 8971480000 9186795520 10253120000 10264576000 10499194880 11483494400 11730944000 12830720000 13123993600 14354368000 14663680000 14698872832 16404992000 16423321600 16798711808 17942960000 18373591040 20506240000 20529152000 20998389760 22966988800 23461888000 25661440000 26247987200 28708736000 29327360000 29397745664 32809984000 32846643200 33597423616 35885920000 36747182080 41012480000 41058304000 41996779520 45933977600 51322880000 52495974400 57417472000 58654720000 58795491328 65619968000 71771840000 73494364160 82024960000 82116608000 83993559040 91867955200 102645760000 104991948800 114834944000 117309440000 117590982656 131239936000 143543680000 146988728320 164049920000 164233216000 167987118080 183735910400 205291520000 209983897600 229669888000 235181965312 262479872000 287087360000 293977456640 328099840000 367471820800 410583040000 419967795200 459339776000 524959744000 574174720000 587954913280 656199680000 734943641600 821166080000 839935590400 918679552000 1049919488000 1148349440000 1175909826560 1312399360000 1469887283200 1837359104000 2099838976000 2296698880000 2624798720000 2939774566400 3674718208000 4199677952000 4593397760000 5249597440000 5879549132800 7349436416000 9186795520000 10499194880000 14698872832000 18373591040000 20998389760000 29397745664000 36747182080000 73494364160000 146988728320000
• Sum of all divisors σ(n): 422191745214008
• Sum of proper divisors (its aliquot sum) s(n): 275203016894008
• 146988728320000 is an abundant number, because the sum of its proper divisors (275203016894008) is greater than itself. Its abundance is 128214288574008

Bases of 146988728320000

• Binary: 100001011010111101111010111100000000000000000000₂
• Hexadecimal: 0x85AF7AF00000
• Base-36: 1G3POTPDZ4

Squares and roots of 146988728320000

• 146988728320000 squared (146988728320000²) is 21605686253130770022400000000
• 146988728320000 cubed (146988728320000³) is 3175792346828597504254953914368000000000000
• The square root of 146988728320000 is 12123890.8078223799
• The cube root of 146988728320000 is 52774.9719153087

Scales and comparisons

• 146,988,728,320,000 seconds is equal to 4,673,786 years, 46 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 146,988,728,320,000 would take you about eleven million, six hundred eighty-four thousand, four hundred sixty-seven 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 146988728320000 cubic inches would be around 4397.9 feet tall.

Recreational maths with 146988728320000

• 146988728320000 backwards is 000023827889641
• The number of decimal digits it has is: 15
• The sum of 146988728320000's digits is 58
• More coming soon!