400828428
400,828,428 is an even composite number composed of six prime numbers multiplied together.
What does the number 400828428 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
400828428 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 400828428:
22 × 32 × 73 × 11 × 13 × 227
(2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 13 × 227)See below for interesting mathematical facts about the number 400828428 from the Numbermatics database.
Names of 400828428
- Cardinal: 400828428 can be written as Four hundred million, eight hundred twenty-eight thousand, four hundred twenty-eight.
Scientific notation
- Scientific notation: 4.00828428 × 108
Factors of 400828428
Divisors of 400828428
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 49 52 63 66 77 78 84 91 98 99 117 126 132 143 147 154 156 182 196 198 227 231 234 252 273 286 294 308 343 364 396 429 441 454 462 468 539 546 572 588 637 681 686 693 819 858 882 908 924 1001 1029 1078 1092 1274 1287 1362 1372 1386 1589 1617 1638 1716 1764 1911 2002 2043 2058 2156 2497 2548 2574 2724 2772 2951 3003 3087 3178 3234 3276 3773 3822 4004 4086 4116 4459 4767 4851 4994 5148 5733 5902 6006 6174 6356 6468 7007 7491 7546 7644 8172 8853 8918 9009 9534 9702 9988 11123 11319 11466 11804 12012 12348 13377 14014 14301 14982 15092 17479 17706 17836 18018 19068 19404 20657 21021 22246 22473 22638 22932 26559 26754 28028 28602 29964 32461 33369 33957 34958 35412 36036 40131 41314 42042 44492 44946 45276 49049 52437 53118 53508 57204 61971 63063 64922 66738 67914 69916 77861 80262 82628 84084 89892 97383 98098 100107 104874 106236 122353 123942 126126 129844 133476 135828 144599 147147 155722 157311 160524 185913 194766 196196 200214 209748 227227 233583 244706 247884 252252 289198 292149 294294 311444 314622 367059 371826 389532 400428 433797 441441 454454 467166 489412 578396 584298 588588 629244 681681 700749 734118 743652 856471 867594 882882 908908 934332 1012193 1101177 1168596 1301391 1363362 1401498 1468236 1590589 1712942 1735188 1765764 2024386 2045043 2202354 2569413 2602782 2726724 2802996 3036579 3181178 3425884 4048772 4090086 4404708 4771767 5138826 5205564 6073158 6362356 7708239 8180172 9109737 9543534 10277652 11134123 12146316 14315301 15416478 18219474 19087068 22268246 28630602 30832956 33402369 36438948 44536492 57261204 66804738 100207107 133609476 200414214 400828428
- Sum of all divisors σ(n): 1394265600
- Sum of proper divisors (its aliquot sum) s(n): 993437172
- 400828428 is an abundant number, because the sum of its proper divisors (993437172) is greater than itself. Its abundance is 592608744
Bases of 400828428
- Binary: 101111110010000101000000011002
- Hexadecimal: 0x17E4280C
- Base-36: 6MN570
Squares and roots of 400828428
- 400828428 squared (4008284282) is 160663428692951184
- 400828428 cubed (4008284283) is 64398469560085717763458752
-
The
square root of 400828428 is 20020.6999877627 -
The
cube root of 400828428 is 737.3146081163
Scales and comparisons
How big is 400828428?- 400,828,428 seconds is equal to 12 years, 38 weeks, 5 days, 5 hours, 13 minutes, 48 seconds.
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To count from 1 to 400,828,428 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 400828428 cubic inches would be around 61.4 feet tall.
Recreational maths with 400828428
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