428157385945120
428,157,385,945,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 428157385945120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
428157385945120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 428157385945120:
25 × 5 × 132 × 37 × 1372 × 1512
(2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 37 × 137 × 137 × 151 × 151)See below for interesting mathematical facts about the number 428157385945120 from the Numbermatics database.
Names of 428157385945120
- Cardinal: 428157385945120 can be written as Four hundred twenty-eight trillion, one hundred fifty-seven billion, three hundred eighty-five million, nine hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2815738594512 × 1014
Factors of 428157385945120
Divisors of 428157385945120
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 37 40 52 65 74 80 104 130 137 148 151 160 169 185 208 260 274 296 302 338 370 416 481 520 548 592 604 676 685 740 755 845 962 1040 1096 1184 1208 1352 1370 1480 1510 1690 1781 1924 1963 2080 2192 2405 2416 2704 2740 2960 3020 3380 3562 3848 3926 4384 4810 4832 5069 5408 5480 5587 5920 6040 6253 6760 7124 7696 7852 8905 9620 9815 10138 10960 11174 12080 12506 13520 14248 15392 15704 17810 18769 19240 19630 20276 20687 21920 22348 22801 23153 24160 25012 25345 25519 27040 27935 28496 31265 31408 35620 37538 38480 39260 40552 41374 44696 45602 46306 50024 50690 51038 55870 56992 62530 62816 65897 71240 72631 75076 76960 78520 81104 82748 89392 91204 92612 93845 100048 101380 102076 103435 111740 114005 115765 125060 127595 131794 142480 145262 150152 157040 162208 165496 178784 182408 185224 187690 200096 202760 204152 206870 223480 228010 231530 243997 250120 255190 263588 268931 284960 290524 296413 300304 314080 329485 330992 363155 364816 370448 375380 405520 408304 413740 446960 456020 463060 487994 500240 510380 527176 537862 581048 592826 600608 658970 661984 694453 726310 729632 740896 750760 765419 811040 816608 827480 843637 856661 893920 912040 926120 944203 975988 1000480 1020760 1054352 1075724 1162096 1185652 1219985 1317940 1344655 1388906 1452620 1482065 1501520 1530838 1654960 1687274 1713322 1824080 1852240 1888406 1951976 2041520 2108704 2151448 2324192 2371304 2439970 2635880 2689310 2777812 2834119 2905240 2964130 3003040 3061676 3123737 3171961 3309920 3374548 3426644 3472265 3496103 3648160 3704480 3776812 3827095 3853369 3903952 4083040 4218185 4283305 4302896 4721015 4742608 4879940 5271760 5378620 5555624 5668238 5810480 5928260 6123352 6247474 6343922 6749096 6853288 6944530 6992206 7553624 7654190 7706738 7807904 8436370 8566610 8605792 9027889 9442030 9485216 9759880 9950447 10543520 10757240 10967281 11111248 11336476 11620960 11856520 12246704 12494948 12687844 13498192 13706576 13889060 13984412 14170595 15107248 15308380 15413476 15618685 15859805 16872740 17133220 17480515 18055778 18884060 19266845 19519760 19900894 21514480 21934562 22222496 22672952 23713040 24493408 24989896 25375688 26996384 27413152 27778120 27968824 28341190 30214496 30616760 30826952 31237370 31719610 33745480 34266440 34961030 36111556 36843547 37768120 38533690 39039520 39801788 40608581 43028960 43869124 45139445 45345904 47426080 49752235 49979792 50751376 54836405 55556240 55937648 56682380 61233520 61653904 62474740 63439220 67490960 68532880 69922060 72223112 73687094 75536240 77067380 79603576 81217162 87738248 90278890 90691808 99504470 99959584 101502752 104862403 109672810 111112480 111875296 113364760 115578269 117362557 122467040 123307808 124949480 126878440 129355811 134981920 137065760 139844120 142574653 144446224 147374188 151072480 154134760 159207152 162434324 175476496 180557780 184217735 199008940 203042905 209724806 219345620 226729520 231156538 234725114 249898960 253756880 258711622 279688240 285149306 288892448 294748376 308269520 318414304 324868648 350952992 361115560 368435470 398017880 406085810 419449612 427951969 438691240 453459040 462313076 469450228 478966111 499797920 507513760 517423244 524312015 527911553 559376480 570298612 577891345 586812785 589496752 616539040 646779055 649737296 712873265 722231120 736870940 796035760 812171620 838899224 855903938 877382480 924626152 938900456 957932222 1034846488 1048624030 1055823106 1140597224 1155782690 1173625570 1178993504 1293558110 1299474592 1363211239 1425746530 1444462240 1473741880 1502517497 1592071520 1624343240 1677798448 1711807876 1754764960 1849252304 1877800912 1915864444 2069692976 2097248060 2111646212 2139759845 2281194448 2311565380 2347251140 2394830555 2587116220 2639557765 2726422478 2851493060 2947483760 3005034994 3248686480 3355596896 3423615752 3698504608 3755601824 3831728888 4139385952 4194496120 4223292424 4279519690 4562388896 4623130760 4694502280 4789661110 5174232440 5279115530 5452844956 5563375597 5702986120 5894967520 6010069988 6497372960 6816056195 6847231504 7512587485 7663457776 8388992240 8446584848 8559039380 9246261520 9389004560 9579322220 10348464880 10558231060 10905689912 11126751194 11405972240 12020139976 13632112390 13694463008 15025174970 15326915552 15834222853 16777984480 16893169696 17118078760 17721746107 18492523040 18778009120 19158644440 19532727461 20696929760 21116462120 21811379824 22253502388 22811944480 24040279952 27264224780 27816877985 30050349940 31668445706 34236157520 35443492214 38317288880 39065454922 42232924240 43622759648 44507004776 48080559904 54528449560 55633755970 60100699880 63336891412 68472315040 70886984428 72323882761 76634577760 78130909844 79171114265 84465848480 88608730535 89014009552 97663637305 109056899120 111267511940 120201399760 126673782824 141773968856 144647765522 156261819688 158342228530 177217461070 178028019104 195327274610 205844897089 218113798240 222535023880 240402799520 253347565648 283547937712 289295531044 312523639376 316684457060 354434922140 361619413805 390654549220 411689794178 445070047760 506695131296 567095875424 578591062088 625047278752 633368914120 708869844280 723238827610 781309098440 823379588356 890140095520 1029224485445 1157182124176 1266737828240 1417739688560 1446477655220 1562618196880 1646759176712 2058448970890 2314364248352 2533475656480 2675983662157 2835479377120 2892955310440 3125236393760 3293518353424 4116897941780 5351967324314 5785910620880 6587036706848 8233795883560 10703934648628 11571821241760 13379918310785 16467591767120 21407869297256 26759836621570 32935183534240 42815738594512 53519673243140 85631477189024 107039346486280 214078692972560 428157385945120
- Sum of all divisors σ(n): 1140744982079052
- Sum of proper divisors (its aliquot sum) s(n): 712587596133932
- 428157385945120 is an abundant number, because the sum of its proper divisors (712587596133932) is greater than itself. Its abundance is 284430210188812
Bases of 428157385945120
- Binary: 11000010101101000001010001110010110110000001000002
- Hexadecimal: 0x1856828E5B020
- Base-36: 47ROSCW8PS
Squares and roots of 428157385945120
- 428157385945120 squared (4281573859451202) is 183318747139358441315651814400
- 428157385945120 cubed (4281573859451203) is 78489275569922155107735890480258186825728000
-
The
square root of 428157385945120 is 20691964.2843573457 -
The
cube root of 428157385945120 is 75370.4566826513
Scales and comparisons
How big is 428157385945120?- 428,157,385,945,120 seconds is equal to 13,614,080 years, 25 weeks, 5 days, 6 hours, 58 minutes, 40 seconds.
-
To count from 1 to 428,157,385,945,120 would take you about thirty-four million, thirty-five thousand, two hundred one 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 428157385945120 cubic inches would be around 6280.9 feet tall.
Recreational maths with 428157385945120
- 428157385945120 backwards is 021549583751824
- The number of decimal digits it has is: 15
- The sum of 428157385945120's digits is 64
- More coming soon!
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The information we have on file for 428157385945120 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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