428742727680
428,742,727,680 is an even composite number composed of seven prime numbers multiplied together.
428742727680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 428742727680:
211 × 3 × 5 × 19 × 23 × 109 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 19 × 23 × 109 × 293)See below for interesting mathematical facts about the number 428742727680 from the Numbermatics database.
Names of 428742727680
- Cardinal: 428742727680 can be written as Four hundred twenty-eight billion, seven hundred forty-two million, seven hundred twenty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.2874272768 × 1011
Factors of 428742727680
Divisors of 428742727680
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 32 38 40 46 48 57 60 64 69 76 80 92 95 96 109 114 115 120 128 138 152 160 184 190 192 218 228 230 240 256 276 285 293 304 320 327 345 368 380 384 436 437 456 460 480 512 545 552 570 586 608 640 654 690 736 760 768 872 874 879 912 920 960 1024 1090 1104 1140 1172 1216 1280 1308 1311 1380 1465 1472 1520 1536 1635 1744 1748 1758 1824 1840 1920 2048 2071 2180 2185 2208 2280 2344 2432 2507 2560 2616 2622 2760 2930 2944 3040 3072 3270 3488 3496 3516 3648 3680 3840 4142 4360 4370 4395 4416 4560 4688 4864 5014 5120 5232 5244 5520 5567 5860 5888 6080 6144 6213 6540 6555 6739 6976 6992 7032 7296 7360 7521 7680 8284 8720 8740 8790 8832 9120 9376 9728 10028 10240 10355 10464 10488 11040 11134 11720 11776 12160 12426 12535 13080 13110 13478 13952 13984 14064 14592 14720 15042 15360 16568 16701 17440 17480 17580 17664 18240 18752 19456 20056 20217 20710 20928 20976 22080 22268 23440 23552 24320 24852 25070 26160 26220 26956 27835 27904 27968 28128 29184 29440 30084 30720 31065 31937 33136 33402 33695 34880 34960 35160 35328 36480 37504 37605 38912 40112 40434 41420 41856 41952 44160 44536 46880 47104 47633 48640 49704 50140 52320 52440 53912 55670 55808 55936 56256 58368 58880 60168 62130 63874 66272 66804 67390 69760 69920 70320 70656 72960 75008 75210 80224 80868 82840 83505 83712 83904 88320 89072 93760 95266 95811 97280 99408 100280 101085 104640 104880 107824 111340 111616 111872 112512 116736 117760 120336 124260 127748 128041 132544 133608 134780 139520 139840 140640 141312 142899 145920 150016 150420 159685 160448 161736 165680 167010 167424 167808 176640 178144 187520 190532 191622 194560 198816 200560 202170 209280 209760 215648 222680 223232 223744 225024 235520 238165 240672 248520 255496 256082 265088 267216 269560 279040 279680 281280 285798 291840 300032 300840 319370 320896 323472 331360 334020 334848 335616 353280 356288 375040 381064 383244 384123 397632 401120 404340 418560 419520 431296 445360 447488 450048 476330 479055 481344 497040 510992 512164 530176 534432 539120 558080 559360 562560 571596 583680 600064 601680 606803 638740 640205 641792 646944 662720 668040 669696 671232 706560 712576 714495 734551 750080 762128 766488 768246 795264 802240 808680 837120 839040 862592 890720 894976 900096 952660 958110 962688 994080 1021984 1024328 1060352 1068864 1078240 1116160 1118720 1125120 1143192 1203360 1213606 1277480 1280410 1283584 1293888 1325440 1336080 1342464 1425152 1428990 1469102 1500160 1524256 1532976 1536492 1590528 1604480 1617360 1674240 1678080 1725184 1781440 1800192 1820409 1905320 1916220 1920615 1925376 1988160 2043968 2048656 2120704 2137728 2156480 2203653 2237440 2250240 2286384 2406720 2427212 2554960 2560820 2567168 2587776 2650880 2672160 2684928 2850304 2857980 2938204 3000320 3034015 3048512 3065952 3072984 3181056 3208960 3234720 3348480 3356160 3450368 3562880 3640818 3672755 3810640 3832440 3841230 3850752 3976320 4087936 4097312 4241408 4275456 4312960 4407306 4474880 4500480 4572768 4813440 4854424 5109920 5121640 5134336 5175552 5301760 5344320 5700608 5715960 5876408 6068030 6097024 6131904 6145968 6362112 6417920 6469440 6712320 6900736 7125760 7281636 7345510 7621280 7664880 7682460 7701504 7952640 8175872 8194624 8550912 8625920 8814612 9000960 9102045 9145536 9626880 9708848 10219840 10243280 10351104 10603520 10688640 11018265 11401216 11431920 11752816 12136060 12194048 12263808 12291936 12724224 12835840 12938880 13424640 13801472 13956469 14251520 14563272 14691020 15242560 15329760 15364920 15403008 15905280 16351744 16389248 17101824 17251840 17629224 18204090 18291072 19253760 19417696 20439680 20486560 20702208 21207040 21377280 22036530 22863840 23505632 24272120 24388096 24527616 24583872 25671680 25877760 27912938 28503040 29126544 29382040 30485120 30659520 30729840 31810560 32703488 32778496 34203648 34503680 35258448 36408180 36582144 38507520 38835392 40879360 40973120 41404416 41869407 42754560 44073060 45727680 47011264 48544240 48776192 49055232 49167744 51755520 55825876 57006080 58253088 58764080 60970240 61319040 61459680 63621120 65406976 65556992 69007360 69782345 70516896 72816360 73164288 77015040 77670784 81758720 81946240 83738814 85509120 88146120 91455360 94022528 97088480 97552384 98110464 98335488 103511040 111651752 116506176 117528160 121940480 122638080 122919360 131113984 139564690 141033792 145632720 146328576 155341568 163517440 163892480 167477628 171018240 176292240 182910720 188045056 194176960 196220928 196670976 207022080 209347035 223303504 233012352 235056320 243880960 245276160 245838720 262227968 279129380 282067584 291265440 292657152 310683136 327034880 327784960 334955256 352584480 365821440 376090112 388353920 393341952 418694070 446607008 466024704 470112640 487761920 490552320 491677440 558258760 564135168 582530880 621366272 655569920 669910512 705168960 731642880 752180224 776707840 786683904 837388140 893214016 932049408 940225280 981104640 983354880 1116517520 1128270336 1165061760 1242732544 1311139840 1339821024 1410337920 1463285760 1504360448 1553415680 1674776280 1786428032 1864098816 1880450560 1966709760 2233035040 2256540672 2330123520 2679642048 2820675840 3106831360 3349552560 3572856064 3728197632 3760901120 3933419520 4466070080 4513081344 4660247040 5359284096 5641351680 6213662720 6699105120 7145712128 7521802240 8932140160 9320494080 10718568192 11282703360 13398210240 14291424256 17864280320 18640988160 21437136384 22565406720 26796420480 28582848512 35728560640 42874272768 53592840960 71457121280 85748545536 107185681920 142914242560 214371363840 428742727680
- Sum of all divisors σ(n): 1525620096000
- Sum of proper divisors (its aliquot sum) s(n): 1096877368320
- 428742727680 is an abundant number, because the sum of its proper divisors (1096877368320) is greater than itself. Its abundance is 668134640640
Bases of 428742727680
- Binary: 1100011110100110000111011011000000000002
- Hexadecimal: 0x63D30ED800
- Base-36: 5GYMCLXC
Squares and roots of 428742727680
- 428742727680 squared (4287427276802) is 183820326538486638182400
- 428742727680 cubed (4287427276803) is 78811628203139053753555413368832000
-
The
square root of 428742727680 is 654784.4894925349 -
The
cube root of 428742727680 is 7540.4787815685
Scales and comparisons
How big is 428742727680?- 428,742,727,680 seconds is equal to 13,632 years, 36 weeks, 2 hours, 8 minutes.
-
To count from 1 to 428,742,727,680 would take you about twenty-seven thousand, two hundred sixty-five 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 428742727680 cubic inches would be around 628.4 feet tall.
Recreational maths with 428742727680
- 428742727680 backwards is 086727247824
- 428742727680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428742727680's digits is 57
- More coming soon!
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The information we have on file for 428742727680 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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