428428440
428,428,440 is an even composite number composed of five prime numbers multiplied together.
428428440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 428428440:
23 × 35 × 5 × 11 × 4007
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 4007)See below for interesting mathematical facts about the number 428428440 from the Numbermatics database.
Names of 428428440
- Cardinal: 428428440 can be written as Four hundred twenty-eight million, four hundred twenty-eight thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.2842844 × 108
Factors of 428428440
Divisors of 428428440
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 243 264 270 297 324 330 360 396 405 440 486 495 540 594 648 660 792 810 891 972 990 1080 1188 1215 1320 1485 1620 1782 1944 1980 2376 2430 2673 2970 3240 3564 3960 4007 4455 4860 5346 5940 7128 8014 8910 9720 10692 11880 12021 13365 16028 17820 20035 21384 24042 26730 32056 35640 36063 40070 44077 48084 53460 60105 72126 80140 88154 96168 106920 108189 120210 132231 144252 160280 176308 180315 216378 220385 240420 264462 288504 324567 352616 360630 396693 432756 440770 480840 528924 540945 649134 661155 721260 793386 865512 881540 973701 1057848 1081890 1190079 1298268 1322310 1442520 1586772 1622835 1763080 1947402 1983465 2163780 2380158 2596536 2644620 3173544 3245670 3570237 3894804 3966930 4327560 4760316 4868505 5289240 5950395 6491340 7140474 7789608 7933860 9520632 9737010 10710711 11900790 12982680 14280948 15867720 17851185 19474020 21421422 23801580 28561896 35702370 38948040 42842844 47603160 53553555 71404740 85685688 107107110 142809480 214214220 428428440
- Sum of all divisors σ(n): 1575624960
- Sum of proper divisors (its aliquot sum) s(n): 1147196520
- 428428440 is an abundant number, because the sum of its proper divisors (1147196520) is greater than itself. Its abundance is 718768080
Bases of 428428440
- Binary: 110011000100101001100100110002
- Hexadecimal: 0x19894C98
- Base-36: 732PI0
Squares and roots of 428428440
- 428428440 squared (4284284402) is 183550928200833600
- 428428440 cubed (4284284403) is 78638437829635145947584000
-
The
square root of 428428440 is 20698.5129900677 -
The
cube root of 428428440 is 753.8635827943
Scales and comparisons
How big is 428428440?- 428,428,440 seconds is equal to 13 years, 32 weeks, 2 days, 15 hours, 54 minutes.
-
To count from 1 to 428,428,440 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 428428440 cubic inches would be around 62.8 feet tall.
Recreational maths with 428428440
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