421981920
421,981,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 421981920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
421981920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 421981920:
25 × 33 × 5 × 23 × 31 × 137
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 23 × 31 × 137)See below for interesting mathematical facts about the number 421981920 from the Numbermatics database.
Names of 421981920
- Cardinal: 421981920 can be written as Four hundred twenty-one million, nine hundred eighty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.2198192 × 108
Factors of 421981920
Divisors of 421981920
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 31 32 36 40 45 46 48 54 60 62 69 72 80 90 92 93 96 108 115 120 124 135 137 138 144 155 160 180 184 186 207 216 230 240 248 270 274 276 279 288 310 345 360 368 372 411 414 432 460 465 480 496 540 548 552 558 620 621 685 690 713 720 736 744 822 828 837 864 920 930 992 1035 1080 1096 1104 1116 1233 1240 1242 1370 1380 1395 1426 1440 1488 1644 1656 1674 1840 1860 2055 2070 2139 2160 2192 2208 2232 2466 2480 2484 2740 2760 2790 2852 2976 3105 3151 3288 3312 3348 3565 3680 3699 3720 4110 4140 4185 4247 4278 4320 4384 4464 4932 4960 4968 5480 5520 5580 5704 6165 6210 6302 6417 6576 6624 6696 7130 7398 7440 8220 8280 8370 8494 8556 8928 9453 9864 9936 10695 10960 11040 11160 11408 12330 12420 12604 12741 12834 13152 13392 14260 14796 14880 15755 16440 16560 16740 16988 17112 18495 18906 19251 19728 19872 21235 21390 21920 22320 22816 24660 24840 25208 25482 25668 26784 28359 28520 29592 31510 32085 32880 33120 33480 33976 34224 36990 37812 38223 38502 39456 42470 42780 44640 47265 49320 49680 50416 50964 51336 56718 57040 59184 63020 63705 64170 65760 66960 67952 68448 73980 75624 76446 77004 84940 85077 85560 94530 96255 97681 98640 99360 100832 101928 102672 113436 114080 114669 118368 126040 127410 128340 133920 135904 141795 147960 151248 152892 154008 169880 170154 171120 189060 191115 192510 195362 197280 203856 205344 226872 229338 252080 254820 256680 283590 293043 295920 302496 305784 308016 339760 340308 342240 378120 382230 385020 390724 407712 425385 453744 458676 488405 504160 509640 513360 567180 573345 586086 591840 611568 616032 679520 680616 756240 764460 770040 781448 850770 879129 907488 917352 976810 1019280 1026720 1134360 1146690 1172172 1223136 1361232 1465215 1512480 1528920 1540080 1562896 1701540 1758258 1834704 1953620 2038560 2268720 2293380 2344344 2637387 2722464 2930430 3057840 3080160 3125792 3403080 3516516 3669408 3907240 4395645 4537440 4586760 4688688 5274774 5860860 6115680 6806160 7033032 7814480 8791290 9173520 9377376 10549548 11721720 13186935 13612320 14066064 15628960 17582580 18347040 21099096 23443440 26373870 28132128 35165160 42198192 46886880 52747740 70330320 84396384 105495480 140660640 210990960 421981920
- Sum of all divisors σ(n): 1602478080
- Sum of proper divisors (its aliquot sum) s(n): 1180496160
- 421981920 is an abundant number, because the sum of its proper divisors (1180496160) is greater than itself. Its abundance is 758514240
Bases of 421981920
- Binary: 110010010011011101110111000002
- Hexadecimal: 0x1926EEE0
- Base-36: 6Z8JC0
Squares and roots of 421981920
- 421981920 squared (4219819202) is 178068740806886400
- 421981920 cubed (4219819203) is 75141789137672272293888000
-
The
square root of 421981920 is 20542.1985191459 -
The
cube root of 421981920 is 750.0633546481
Scales and comparisons
How big is 421981920?- 421,981,920 seconds is equal to 13 years, 21 weeks, 5 days, 1 hour, 12 minutes.
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To count from 1 to 421,981,920 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 421981920 cubic inches would be around 62.5 feet tall.
Recreational maths with 421981920
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