388080420
388,080,420 is an even composite number composed of eight prime numbers multiplied together.
What does the number 388080420 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 384 divisors.
388080420 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 388080420:
22 × 3 × 5 × 7 × 13 × 17 × 37 × 113
(2 × 2 × 3 × 5 × 7 × 13 × 17 × 37 × 113)See below for interesting mathematical facts about the number 388080420 from the Numbermatics database.
Names of 388080420
- Cardinal: 388080420 can be written as Three hundred eighty-eight million, eighty thousand, four hundred twenty.
Scientific notation
- Scientific notation: 3.8808042 × 108
Factors of 388080420
Divisors of 388080420
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 13 14 15 17 20 21 26 28 30 34 35 37 39 42 51 52 60 65 68 70 74 78 84 85 91 102 105 111 113 119 130 140 148 156 170 182 185 195 204 210 221 222 226 238 255 259 260 273 339 340 357 364 370 390 420 442 444 452 455 476 481 510 518 546 555 565 595 629 663 678 714 740 777 780 791 884 910 962 1020 1036 1092 1105 1110 1130 1190 1258 1295 1326 1356 1365 1428 1443 1469 1547 1554 1582 1695 1785 1820 1887 1921 1924 2210 2220 2260 2373 2380 2405 2516 2590 2652 2730 2886 2938 3094 3108 3145 3164 3315 3367 3390 3570 3774 3842 3885 3955 4181 4403 4407 4420 4641 4746 4810 5180 5460 5763 5772 5876 6188 6290 6630 6734 6780 7140 7215 7345 7548 7684 7735 7770 7910 8177 8362 8806 8814 9282 9435 9492 9605 9620 10101 10283 11526 11865 12543 12580 13209 13260 13447 13468 14430 14690 15470 15540 15820 16354 16724 16835 17612 17628 18564 18870 19210 20202 20566 20905 22015 22035 23052 23205 23730 24531 24973 25086 26418 26894 28815 28860 29267 29380 30849 30940 32708 33670 37740 38420 40341 40404 40885 41132 41810 44030 44070 46410 47460 49062 49946 50172 50505 51415 52836 53788 54353 57239 57630 58534 61698 62715 66045 67235 67340 71077 74919 80682 81770 83620 87801 88060 88140 92820 98124 99892 101010 102830 108706 114478 115260 117068 122655 123396 124865 125430 132090 134470 142154 146335 149838 154245 161364 163059 163540 171717 174811 175602 201705 202020 205660 213231 217412 228956 245310 249730 250860 264180 268940 271765 284308 286195 292670 299676 308490 326118 343434 349622 351204 355385 374595 380471 403410 426462 439005 490620 497539 499460 524433 543530 572390 585340 616980 652236 686868 699244 710770 749190 760942 806820 815295 852924 858585 874055 878010 924001 995078 1048866 1066155 1087060 1141413 1144780 1421540 1492617 1498380 1521884 1630590 1717170 1748110 1756020 1848002 1902355 1990156 2097732 2132310 2282826 2487695 2622165 2772003 2985234 3261180 3434340 3496220 3696004 3804710 4264620 4565652 4620005 4975390 5244330 5544006 5707065 5970468 6468007 7463085 7609420 9240010 9950780 10488660 11088012 11414130 12936014 13860015 14926170 18480020 19404021 22828260 25872028 27720030 29852340 32340035 38808042 55440060 64680070 77616084 97020105 129360140 194040210 388080420
- Sum of all divisors σ(n): 1467196416
- Sum of proper divisors (its aliquot sum) s(n): 1079115996
- 388080420 is an abundant number, because the sum of its proper divisors (1079115996) is greater than itself. Its abundance is 691035576
Bases of 388080420
- Binary: 101110010000110100011001001002
- Hexadecimal: 0x1721A324
- Base-36: 6F1WRO
Squares and roots of 388080420
- 388080420 squared (3880804202) is 150606412387376400
- 388080420 cubed (3880804203) is 58447399773986236010088000
-
The
square root of 388080420 is 19699.7568512913 -
The
cube root of 388080420 is 729.4136907301
Scales and comparisons
How big is 388080420?- 388,080,420 seconds is equal to 12 years, 17 weeks, 4 days, 16 hours, 7 minutes.
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To count from 1 to 388,080,420 would take you about eighteen 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 388080420 cubic inches would be around 60.8 feet tall.
Recreational maths with 388080420
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