428146227968000000

Names of 428146227968000000

• Cardinal: 428146227968000000 can be written as Four hundred twenty-eight quadrillion, one hundred forty-six trillion, two hundred twenty-seven billion, nine hundred sixty-eight million.

Scientific notation

• Scientific notation: 4.28146227968 × 10¹⁷

Factors of 428146227968000000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 1194

Divisors of 428146227968000000

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1187 1250 1280 1600 2000 2048 2374 2500 2560 3125 3200 4000 4096 4748 5000 5120 5935 6250 6400 8000 8192 9496 10000 10240 11870 12500 12800 15625 16000 16384 18992 20000 20480 23740 25000 25600 29675 31250 32000 37984 40000 40960 47480 50000 51200 59350 62500 64000 75968 80000 81920 94960 100000 102400 118700 125000 128000 148375 151936 160000 189920 200000 204800 237400 250000 256000 296750 303872 320000 379840 400000 409600 474800 500000 512000 593500 607744 640000 741875 759680 800000 949600 1000000 1024000 1187000 1215488 1280000 1408969 1483750 1519360 1600000 1899200 2000000 2048000 2374000 2430976 2560000 2817938 2967500 3038720 3200000 3709375 3798400 4000000 4748000 4861952 5120000 5635876 5935000 6077440 6400000 7044845 7418750 7596800 8000000 9496000 9723904 10240000 11271752 11870000 12154880 12800000 14089690 14837500 15193600 16000000 18546875 18992000 19447808 22543504 23740000 24309760 25600000 28179380 29675000 30387200 32000000 35224225 37093750 37984000 45087008 47480000 48619520 51200000 56358760 59350000 60774400 64000000 70448450 74187500 75968000 90174016 94960000 97239040 112717520 118700000 121548800 128000000 140896900 148375000 151936000 176121125 180348032 189920000 225435040 237400000 243097600 256000000 281793800 296750000 303872000 352242250 360696064 379840000 450870080 474800000 486195200 563587600 593500000 607744000 704484500 721392128 759680000 880605625 901740160 949600000 1127175200 1187000000 1215488000 1408969000 1442784256 1519360000 1672446203 1761211250 1803480320 1899200000 2254350400 2374000000 2430976000 2817938000 2885568512 3038720000 3344892406 3522422500 3606960640 3798400000 4403028125 4508700800 4748000000 5635876000 5771137024 6077440000 6689784812 7044845000 7213921280 7596800000 8362231015 8806056250 9017401600 9496000000 11271752000 11542274048 12154880000 13379569624 14089690000 14427842560 15193600000 16724462030 17612112500 18034803200 18992000000 22015140625 22543504000 23084548096 26759139248 28179380000 28855685120 30387200000 33448924060 35224225000 36069606400 37984000000 41811155075 44030281250 45087008000 53518278496 56358760000 57711370240 60774400000 66897848120 70448450000 72139212800 75968000000 83622310150 88060562500 90174016000 107036556992 112717520000 115422740480 133795696240 140896900000 144278425600 151936000000 167244620300 176121125000 180348032000 209055775375 214073113984 225435040000 267591392480 281793800000 288556851200 303872000000 334489240600 352242250000 360696064000 418111550750 428146227968 450870080000 535182784960 563587600000 577113702400 668978481200 704484500000 721392128000 836223101500 856292455936 901740160000 1045278876875 1070365569920 1127175200000 1337956962400 1408969000000 1442784256000 1672446203000 1712584911872 1803480320000 2090557753750 2140731139840 2254350400000 2675913924800 2817938000000 2885568512000 3344892406000 3425169823744 3606960640000 4181115507500 4281462279680 4508700800000 5226394384375 5351827849600 5635876000000 6689784812000 6850339647488 7213921280000 8362231015000 8562924559360 9017401600000 10452788768750 10703655699200 11271752000000 13379569624000 13700679294976 14427842560000 16724462030000 17125849118720 18034803200000 20905577537500 21407311398400 22543504000000 26131971921875 26759139248000 27401358589952 33448924060000 34251698237440 36069606400000 41811155075000 42814622796800 45087008000000 52263943843750 53518278496000 66897848120000 68503396474880 72139212800000 83622310150000 85629245593600 90174016000000 104527887687500 107036556992000 133795696240000 137006792949760 167244620300000 171258491187200 180348032000000 209055775375000 214073113984000 267591392480000 334489240600000 342516982374400 360696064000000 418111550750000 428146227968000 535182784960000 668978481200000 685033964748800 836223101500000 856292455936000 1070365569920000 1337956962400000 1672446203000000 1712584911872000 2140731139840000 2675913924800000 3344892406000000 3425169823744000 4281462279680000 5351827849600000 6689784812000000 8562924559360000 10703655699200000 13379569624000000 17125849118720000 21407311398400000 26759139248000000 42814622796800000 53518278496000000 85629245593600000 107036556992000000 214073113984000000 428146227968000000
• Sum of all divisors σ(n): 1071221666080131720
• Sum of proper divisors (its aliquot sum) s(n): 643075438112131720
• 428146227968000000 is an abundant number, because the sum of its proper divisors (643075438112131720) is greater than itself. Its abundance is 214929210144131720

Bases of 428146227968000000

• Binary: 10111110001000101001011100111010101111101001100000000000000₂
• Hexadecimal: 0x5F114B9D5F4C000
• Base-36: 393P65TO4L4W

Squares and roots of 428146227968000000

• 428146227968000000 squared (428146227968000000²) is 183309192523226625409024000000000000
• 428146227968000000 cubed (428146227968000000³) is 78483139330679387897299330748383232000000000000000000
• The square root of 428146227968000000 is 654328837.7933529531
• The cube root of 428146227968000000 is 753698.0194745011

Scales and comparisons

• 428,146,227,968,000,000 seconds is equal to 13,613,725,706 years, 7 weeks, 4 days, 53 minutes, 20 seconds.
• To count from 1 to 428,146,227,968,000,000 would take you about forty billion, eight hundred forty-one million, one hundred seventy-seven thousand, one hundred eighteen 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 428146227968000000 cubic inches would be around 62808.2 feet tall.

Recreational maths with 428146227968000000

• 428146227968000000 backwards is 000000869722641824
• The number of decimal digits it has is: 18
• The sum of 428146227968000000's digits is 59
• More coming soon!