428712384000
428,712,384,000 is an even composite number composed of five prime numbers multiplied together.
428712384000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 428712384000:
29 × 3 × 53 × 449 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 449 × 4973)See below for interesting mathematical facts about the number 428712384000 from the Numbermatics database.
Names of 428712384000
- Cardinal: 428712384000 can be written as Four hundred twenty-eight billion, seven hundred twelve million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.28712384 × 1011
Factors of 428712384000
Divisors of 428712384000
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 449 480 500 512 600 640 750 768 800 898 960 1000 1200 1280 1347 1500 1536 1600 1796 1920 2000 2245 2400 2560 2694 3000 3200 3592 3840 4000 4490 4800 4973 5388 6000 6400 6735 7184 7680 8000 8980 9600 9946 10776 11225 12000 12800 13470 14368 14919 16000 17960 19200 19892 21552 22450 24000 24865 26940 28736 29838 32000 33675 35920 38400 39784 43104 44900 48000 49730 53880 56125 57472 59676 64000 67350 71840 74595 79568 86208 89800 96000 99460 107760 112250 114944 119352 124325 134700 143680 149190 159136 168375 172416 179600 192000 198920 215520 224500 229888 238704 248650 269400 287360 298380 318272 336750 344832 359200 372975 397840 431040 449000 477408 497300 538800 574720 596760 621625 636544 673500 689664 718400 745950 795680 862080 898000 954816 994600 1077600 1149440 1193520 1243250 1273088 1347000 1436800 1491900 1591360 1724160 1796000 1864875 1909632 1989200 2155200 2232877 2387040 2486500 2546176 2694000 2873600 2983800 3182720 3448320 3592000 3729750 3819264 3978400 4310400 4465754 4774080 4973000 5388000 5747200 5967600 6365440 6698631 7184000 7459500 7638528 7956800 8620800 8931508 9548160 9946000 10776000 11164385 11935200 12730880 13397262 14368000 14919000 15913600 17241600 17863016 19096320 19892000 21552000 22328770 23870400 26794524 28736000 29838000 31827200 33493155 35726032 38192640 39784000 43104000 44657540 47740800 53589048 55821925 59676000 63654400 66986310 71452064 79568000 86208000 89315080 95481600 107178096 111643850 119352000 133972620 142904128 159136000 167465775 178630160 190963200 214356192 223287700 238704000 267945240 279109625 285808256 318272000 334931550 357260320 428712384 446575400 477408000 535890480 558219250 571616512 669863100 714520640 837328875 857424768 893150800 954816000 1071780960 1116438500 1143233024 1339726200 1429041280 1674657750 1714849536 1786301600 2143561920 2232877000 2679452400 2858082560 3349315500 3429699072 3572603200 4287123840 4465754000 5358904800 5716165120 6698631000 7145206400 8574247680 8931508000 10717809600 13397262000 14290412800 17148495360 17863016000 21435619200 26794524000 28580825600 35726032000 42871238400 53589048000 71452064000 85742476800 107178096000 142904128000 214356192000 428712384000
- Sum of all divisors σ(n): 1428823281600
- Sum of proper divisors (its aliquot sum) s(n): 1000110897600
- 428712384000 is an abundant number, because the sum of its proper divisors (1000110897600) is greater than itself. Its abundance is 571398513600
Bases of 428712384000
- Binary: 1100011110100010011111111010110000000002
- Hexadecimal: 0x63D13FD600
- Base-36: 5GY4A8LC
Squares and roots of 428712384000
- 428712384000 squared (4287123840002) is 183794308194963456000000
- 428712384000 cubed (4287123840003) is 78794896031893520014639104000000000
-
The
square root of 428712384000 is 654761.3183443261 -
The
cube root of 428712384000 is 7540.3008883483
Scales and comparisons
How big is 428712384000?- 428,712,384,000 seconds is equal to 13,631 years, 37 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 428,712,384,000 would take you about twenty-seven thousand, two hundred sixty-three 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 428712384000 cubic inches would be around 628.4 feet tall.
Recreational maths with 428712384000
- 428712384000 backwards is 000483217824
- The number of decimal digits it has is: 12
- The sum of 428712384000's digits is 39
- More coming soon!
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