85429344
85,429,344 is an even composite number composed of six prime numbers multiplied together.
85429344 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 85429344:
25 × 3 × 72 × 11 × 13 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 13 × 127)See below for interesting mathematical facts about the number 85429344 from the Numbermatics database.
Names of 85429344
- Cardinal: 85429344 can be written as Eighty-five million, four hundred twenty-nine thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 8.5429344 × 107
Factors of 85429344
Divisors of 85429344
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 49 52 56 66 77 78 84 88 91 96 98 104 112 127 132 143 147 154 156 168 176 182 196 208 224 231 254 264 273 286 294 308 312 336 352 364 381 392 416 429 462 508 528 539 546 572 588 616 624 637 672 728 762 784 858 889 924 1001 1016 1056 1078 1092 1144 1176 1232 1248 1274 1397 1456 1524 1568 1617 1651 1716 1778 1848 1911 2002 2032 2156 2184 2288 2352 2464 2548 2667 2794 2912 3003 3048 3234 3302 3432 3556 3696 3822 4004 4064 4191 4312 4368 4576 4704 4953 5096 5334 5588 6006 6096 6223 6468 6604 6864 7007 7112 7392 7644 8008 8382 8624 8736 9779 9906 10192 10668 11176 11557 12012 12192 12446 12936 13208 13728 14014 14224 15288 16016 16764 17248 18161 18669 19558 19812 20384 21021 21336 22352 23114 24024 24892 25872 26416 28028 28448 29337 30576 32032 33528 34671 36322 37338 39116 39624 42042 42672 44704 46228 48048 49784 51744 52832 54483 56056 58674 61152 67056 68453 69342 72644 74676 78232 79248 80899 84084 85344 92456 96096 99568 108966 112112 117348 127127 134112 136906 138684 145288 149352 156464 158496 161798 168168 184912 199136 205359 217932 224224 234696 242697 254254 273812 277368 290576 298704 312928 323596 336336 369824 381381 410718 435864 469392 485394 508508 547624 554736 581152 597408 647192 672672 762762 821436 871728 889889 938784 970788 1017016 1095248 1109472 1294384 1525524 1642872 1743456 1779778 1941576 2034032 2190496 2588768 2669667 3051048 3285744 3559556 3883152 4068064 5339334 6102096 6571488 7119112 7766304 10678668 12204192 14238224 21357336 28476448 42714672 85429344
- Sum of all divisors σ(n): 308883456
- Sum of proper divisors (its aliquot sum) s(n): 223454112
- 85429344 is an abundant number, because the sum of its proper divisors (223454112) is greater than itself. Its abundance is 138024768
Bases of 85429344
- Binary: 1010001011110001100011000002
- Hexadecimal: 0x5178C60
- Base-36: 1EV1PC
Squares and roots of 85429344
- 85429344 squared (854293442) is 7298172816270336
- 85429344 cubed (854293443) is 623478116092607331139584
-
The
square root of 85429344 is 9242.7995758859 -
The
cube root of 85429344 is 440.4220193395
Scales and comparisons
How big is 85429344?- 85,429,344 seconds is equal to 2 years, 37 weeks, 1 day, 18 hours, 22 minutes, 24 seconds.
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To count from 1 to 85,429,344 would take you about 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 85429344 cubic inches would be around 36.7 feet tall.
Recreational maths with 85429344
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