428320748700000
428,320,748,700,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428320748700000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
428320748700000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 428320748700000:
25 × 32 × 55 × 134 × 19 × 877
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 19 × 877)See below for interesting mathematical facts about the number 428320748700000 from the Numbermatics database.
Names of 428320748700000
- Cardinal: 428320748700000 can be written as Four hundred twenty-eight trillion, three hundred twenty billion, seven hundred forty-eight million, seven hundred thousand.
Scientific notation
- Scientific notation: 4.283207487 × 1014
Factors of 428320748700000
Divisors of 428320748700000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 30 32 36 38 39 40 45 48 50 52 57 60 65 72 75 76 78 80 90 95 96 100 104 114 117 120 125 130 144 150 152 156 160 169 171 180 190 195 200 208 225 228 234 240 247 250 260 285 288 300 304 312 325 338 342 360 375 380 390 400 416 450 456 468 475 480 494 500 507 520 570 585 600 608 624 625 650 676 684 720 741 750 760 780 800 845 855 877 900 912 936 950 975 988 1000 1014 1040 1125 1140 1170 1200 1235 1248 1250 1300 1352 1368 1425 1440 1482 1500 1520 1521 1560 1625 1690 1710 1754 1800 1824 1872 1875 1900 1950 1976 2000 2028 2080 2197 2223 2250 2280 2340 2375 2400 2470 2500 2535 2600 2631 2704 2736 2850 2925 2964 3000 3040 3042 3120 3125 3211 3250 3380 3420 3508 3600 3705 3744 3750 3800 3900 3952 4000 4056 4225 4275 4385 4394 4446 4500 4560 4680 4750 4875 4940 5000 5070 5200 5262 5408 5472 5625 5700 5850 5928 6000 6084 6175 6240 6250 6422 6500 6591 6760 6840 7016 7125 7200 7410 7500 7600 7605 7800 7893 7904 8112 8125 8450 8550 8770 8788 8892 9000 9120 9360 9375 9500 9633 9750 9880 10000 10140 10400 10524 10985 11115 11250 11400 11401 11700 11856 11875 12000 12168 12350 12500 12675 12844 13000 13155 13182 13520 13680 14032 14250 14625 14820 15000 15200 15210 15600 15786 16055 16224 16250 16663 16900 17100 17540 17576 17784 18000 18525 18720 18750 19000 19266 19500 19760 19773 20000 20280 21048 21125 21375 21925 21970 22230 22500 22800 22802 23400 23712 23750 24336 24375 24700 25000 25350 25688 26000 26310 26364 27040 27360 28064 28125 28500 28561 28899 29250 29640 30000 30420 30875 31200 31572 32110 32500 32955 33326 33800 34200 34203 35080 35152 35568 35625 36000 37050 37500 38000 38025 38532 39000 39465 39520 39546 40560 40625 41743 42096 42250 42750 43850 43940 44460 45000 45600 45604 46800 47500 48165 48672 48750 49400 49989 50000 50700 51376 52000 52620 52728 54925 55575 56250 57000 57005 57122 57798 58500 59280 59375 60000 60840 61750 63144 63375 64220 65000 65775 65910 66652 67600 68400 68406 70160 70304 71136 71250 73125 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85664149740000 107080187175000 142773582900000 214160374350000 428320748700000
- Sum of all divisors σ(n): 1738100954575440
- Sum of proper divisors (its aliquot sum) s(n): 1309780205875440
- 428320748700000 is an abundant number, because the sum of its proper divisors (1309780205875440) is greater than itself. Its abundance is 881459457175440
Bases of 428320748700000
- Binary: 11000010110001110001100100001001110000001011000002
- Hexadecimal: 0x1858E32138160
- Base-36: 47TRU2V140
Squares and roots of 428320748700000
- 428320748700000 squared (4283207487000002) is 183458663766928551690000000000
- 428320748700000 cubed (4283207487000003) is 78579152220152399559267450303000000000000000
-
The
square root of 428320748700000 is 20695911.4005641221 -
The
cube root of 428320748700000 is 75380.0412888495
Scales and comparisons
How big is 428320748700000?- 428,320,748,700,000 seconds is equal to 13,619,274 years, 48 weeks, 22 hours.
-
To count from 1 to 428,320,748,700,000 would take you about thirty-four million, forty-eight thousand, one hundred eighty-seven 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 428320748700000 cubic inches would be around 6281.7 feet tall.
Recreational maths with 428320748700000
- 428320748700000 backwards is 000007847023824
- 428320748700000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428320748700000's digits is 45
- More coming soon!
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"Number 428320748700000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 428320748700000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/428320748700000/
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Numbermatics. 2024. "Number 428320748700000 - Facts about the integer". https://numbermatics.com/n/428320748700000/
The information we have on file for 428320748700000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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