401428800
401,428,800 is an even composite number composed of five prime numbers multiplied together.
401428800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 401428800:
26 × 32 × 52 × 61 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 61 × 457)See below for interesting mathematical facts about the number 401428800 from the Numbermatics database.
Names of 401428800
- Cardinal: 401428800 can be written as Four hundred one million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.014288 × 108
Factors of 401428800
Divisors of 401428800
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 61 64 72 75 80 90 96 100 120 122 144 150 160 180 183 192 200 225 240 244 288 300 305 320 360 366 400 450 457 480 488 549 576 600 610 720 732 800 900 914 915 960 976 1098 1200 1220 1371 1440 1464 1525 1600 1800 1828 1830 1952 2196 2285 2400 2440 2742 2745 2880 2928 3050 3600 3656 3660 3904 4113 4392 4570 4575 4800 4880 5484 5490 5856 6100 6855 7200 7312 7320 8226 8784 9140 9150 9760 10968 10980 11425 11712 12200 13710 13725 14400 14624 14640 16452 17568 18280 18300 19520 20565 21936 21960 22850 24400 27420 27450 27877 29248 29280 32904 34275 35136 36560 36600 41130 43872 43920 45700 48800 54840 54900 55754 58560 65808 68550 73120 73200 82260 83631 87744 87840 91400 97600 102825 109680 109800 111508 131616 137100 139385 146240 146400 164520 167262 175680 182800 205650 219360 219600 223016 250893 263232 274200 278770 292800 329040 334524 365600 411300 418155 438720 439200 446032 501786 548400 557540 658080 669048 696925 731200 822600 836310 878400 892064 1003572 1096800 1115080 1254465 1316160 1338096 1393850 1645200 1672620 1784128 2007144 2090775 2193600 2230160 2508930 2676192 2787700 3290400 3345240 4014288 4181550 4460320 5017860 5352384 5575400 6272325 6580800 6690480 8028576 8363100 8920640 10035720 11150800 12544650 13380960 16057152 16726200 20071440 22301600 25089300 26761920 33452400 40142880 44603200 50178600 66904800 80285760 100357200 133809600 200714400 401428800
- Sum of all divisors σ(n): 1453335676
- Sum of proper divisors (its aliquot sum) s(n): 1051906876
- 401428800 is an abundant number, because the sum of its proper divisors (1051906876) is greater than itself. Its abundance is 650478076
Bases of 401428800
- Binary: 101111110110101010001010000002
- Hexadecimal: 0x17ED5140
- Base-36: 6N00G0
Squares and roots of 401428800
- 401428800 squared (4014288002) is 161145081469440000
- 401428800 cubed (4014288003) is 64688276680179535872000000
-
The
square root of 401428800 is 20035.6881588829 -
The
cube root of 401428800 is 737.6825479363
Scales and comparisons
How big is 401428800?- 401,428,800 seconds is equal to 12 years, 39 weeks, 5 days, 4 hours.
-
To count from 1 to 401,428,800 would take you about nineteen 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 401428800 cubic inches would be around 61.5 feet tall.
Recreational maths with 401428800
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The information we have on file for 401428800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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