4640828504102400
4,640,828,504,102,400 is an even composite number composed of four prime numbers multiplied together.
What does the number 4640828504102400 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 120 divisors.
4640828504102400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 4640828504102400:
29 × 3 × 52 × 120854908961
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 120854908961)See below for interesting mathematical facts about the number 4640828504102400 from the Numbermatics database.
Names of 4640828504102400
- Cardinal: 4640828504102400 can be written as Four quadrillion, six hundred forty trillion, eight hundred twenty-eight billion, five hundred four million, one hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 4.6408285041024 × 1015
Factors of 4640828504102400
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 120854908971
Divisors of 4640828504102400
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1200 1280 1536 1600 1920 2400 2560 3200 3840 4800 6400 7680 9600 12800 19200 38400 120854908961 241709817922 362564726883 483419635844 604274544805 725129453766 966839271688 1208549089610 1450258907532 1812823634415 1933678543376 2417098179220 2900517815064 3021372724025 3625647268830 3867357086752 4834196358440 5801035630128 6042745448050 7251294537660 7734714173504 9064118172075 9668392716880 11602071260256 12085490896100 14502589075320 15469428347008 18128236344150 19336785433760 23204142520512 24170981792200 29005178150640 30938856694016 36256472688300 38673570867520 46408285041024 48341963584400 58010356301280 61877713388032 72512945376600 77347141735040 92816570082048 96683927168800 116020712602560 145025890753200 154694283470080 185633140164096 193367854337600 232041425205120 290051781506400 309388566940160 386735708675200 464082850410240 580103563012800 773471417350400 928165700820480 1160207126025600 1546942834700800 2320414252051200 4640828504102400
- Sum of all divisors σ(n): 15330686911647624
- Sum of proper divisors (its aliquot sum) s(n): 10689858407545224
- 4640828504102400 is an abundant number, because the sum of its proper divisors (10689858407545224) is greater than itself. Its abundance is 6049029903442824
Bases of 4640828504102400
- Binary: 100000111110011001111000101100111001101010110000000002
- Hexadecimal: 0x107CCF16735600
- Base-36: 19P1B6KP91C
Squares and roots of 4640828504102400
- 4640828504102400 squared (46408285041024002) is 21537289204489319693629685760000
- 4640828504102400 cubed (46408285041024003) is 99950865641290938012304899232198582861824000000
-
The
square root of 4640828504102400 is 68123626.6217705119 -
The
cube root of 4640828504102400 is 166800.9449473465
Scales and comparisons
How big is 4640828504102400?- 4,640,828,504,102,400 seconds is equal to 147,563,991 years, 21 weeks, 13 hours, 20 minutes.
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To count from 1 to 4,640,828,504,102,400 would take you about four hundred forty-two million, six hundred ninety-one thousand, nine hundred seventy-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 4640828504102400 cubic inches would be around 13900.1 feet tall.
Recreational maths with 4640828504102400
- 4640828504102400 backwards is 0042014058280464
- 4640828504102400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4640828504102400's digits is 48
- More coming soon!
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