422485920
422,485,920 is an even composite number composed of six prime numbers multiplied together.
422485920 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 422485920:
25 × 32 × 5 × 29 × 67 × 151
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 67 × 151)See below for interesting mathematical facts about the number 422485920 from the Numbermatics database.
Names of 422485920
- Cardinal: 422485920 can be written as Four hundred twenty-two million, four hundred eighty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.2248592 × 108
Factors of 422485920
Divisors of 422485920
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 67 72 80 87 90 96 116 120 134 144 145 151 160 174 180 201 232 240 261 268 288 290 302 335 348 360 402 435 453 464 480 522 536 580 603 604 670 696 720 755 804 870 906 928 1005 1044 1072 1160 1206 1208 1305 1340 1359 1392 1440 1510 1608 1740 1812 1943 2010 2088 2144 2265 2320 2412 2416 2610 2680 2718 2784 3015 3020 3216 3480 3624 3886 4020 4176 4379 4530 4640 4824 4832 5220 5360 5436 5829 6030 6040 6432 6795 6960 7248 7772 8040 8352 8758 9060 9648 9715 10117 10440 10720 10872 11658 12060 12080 13137 13590 13920 14496 15544 16080 17487 17516 18120 19296 19430 20234 20880 21744 21895 23316 24120 24160 26274 27180 29145 30351 31088 32160 34974 35032 36240 38860 39411 40468 41760 43488 43790 46632 48240 50585 52548 54360 58290 60702 62176 65685 69948 70064 72480 77720 78822 80936 87435 87580 91053 93264 96480 101170 105096 108720 116580 121404 131370 139896 140128 151755 155440 157644 161872 174870 175160 182106 186528 197055 202340 210192 217440 233160 242808 262740 279792 293393 303510 310880 315288 323744 349740 350320 364212 394110 404680 420384 455265 466320 485616 525480 559584 586786 607020 630576 699480 700640 728424 788220 809360 880179 910530 932640 971232 1050960 1173572 1214040 1261152 1398960 1456848 1466965 1576440 1618720 1760358 1821060 2101920 2347144 2428080 2640537 2797920 2913696 2933930 3152880 3520716 3642120 4400895 4694288 4856160 5281074 5867860 6305760 7041432 7284240 8801790 9388576 10562148 11735720 13202685 14082864 14568480 17603580 21124296 23471440 26405370 28165728 35207160 42248592 46942880 52810740 70414320 84497184 105621480 140828640 211242960 422485920
- Sum of all divisors σ(n): 1523733120
- Sum of proper divisors (its aliquot sum) s(n): 1101247200
- 422485920 is an abundant number, because the sum of its proper divisors (1101247200) is greater than itself. Its abundance is 678761280
Bases of 422485920
- Binary: 110010010111010011111101000002
- Hexadecimal: 0x192E9FA0
- Base-36: 6ZJC80
Squares and roots of 422485920
- 422485920 squared (4224859202) is 178494352598246400
- 422485920 cubed (4224859203) is 75411350772274520690688000
-
The
square root of 422485920 is 20554.4622892451 -
The
cube root of 422485920 is 750.3618520561
Scales and comparisons
How big is 422485920?- 422,485,920 seconds is equal to 13 years, 22 weeks, 3 days, 21 hours, 12 minutes.
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To count from 1 to 422,485,920 would take you about twenty 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 422485920 cubic inches would be around 62.5 feet tall.
Recreational maths with 422485920
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