428423947616000
428,423,947,616,000 is an even composite number composed of seven prime numbers multiplied together.
428423947616000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 428423947616000:
28 × 53 × 7 × 41 × 97 × 181 × 2657
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 41 × 97 × 181 × 2657)See below for interesting mathematical facts about the number 428423947616000 from the Numbermatics database.
Names of 428423947616000
- Cardinal: 428423947616000 can be written as Four hundred twenty-eight trillion, four hundred twenty-three billion, nine hundred forty-seven million, six hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.28423947616 × 1014
Factors of 428423947616000
Divisors of 428423947616000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 50 56 64 70 80 82 97 100 112 125 128 140 160 164 175 181 194 200 205 224 250 256 280 287 320 328 350 362 388 400 410 448 485 500 560 574 640 656 679 700 724 776 800 820 875 896 905 970 1000 1025 1120 1148 1267 1280 1312 1358 1400 1435 1448 1552 1600 1640 1750 1792 1810 1940 2000 2050 2240 2296 2425 2534 2624 2657 2716 2800 2870 2896 3104 3200 3280 3395 3500 3620 3880 3977 4000 4100 4480 4525 4592 4850 5068 5125 5248 5314 5432 5600 5740 5792 6208 6335 6400 6560 6790 7000 7175 7240 7421 7760 7954 8000 8200 8960 9050 9184 9700 10136 10250 10496 10628 10864 11200 11480 11584 12125 12416 12670 13120 13285 13580 14000 14350 14480 14842 15520 15908 16000 16400 16975 17557 18100 18368 18599 19400 19885 20272 20500 21256 21728 22400 22625 22960 23168 24250 24832 25340 26240 26570 27160 27839 28000 28700 28960 29684 31040 31675 31816 32000 32800 33950 35114 35875 36200 36736 37105 37198 38800 39770 40544 41000 42512 43456 44800 45250 45920 46336 48500 50680 51947 52480 53140 54320 55678 56000 57400 57920 59368 62080 63350 63632 65600 66425 67900 70228 71750 72400 73472 74210 74396 77600 79540 81088 82000 84875 85024 86912 87785 90500 91840 92995 97000 99425 101360 103894 106280 108640 108937 111356 112000 114800 115840 118736 122899 124160 126700 127264 131200 132850 135800 139195 140456 143500 144800 148420 148792 155200 158375 159080 162176 164000 169750 170048 173824 175570 181000 183680 185525 185990 194000 198850 202720 207788 212560 217280 217874 222712 224000 229600 231680 237472 245798 253400 254528 257729 259735 262400 265700 271600 278390 280912 287000 289600 296840 297584 310400 316750 318160 324352 328000 332125 339500 340096 351140 362000 367360 371050 371980 388000 397700 405440 415576 425120 434560 435748 438925 445424 459200 464975 474944 480917 491596 497125 506800 509056 515458 519470 531400 543200 544685 556780 561824 574000 579200 593680 595168 614495 620800 633500 636320 656000 664250 679000 680192 695975 702280 719837 724000 742100 743960 762559 776000 795400 810880 831152 850240 869120 871496 877850 890848 918400 927625 929950 949888 961834 983192 994250 1013600 1018112 1030916 1038940 1062800 1086400 1089370 1113560 1123648 1148000 1158400 1187360 1190336 1228990 1267000 1272640 1288645 1298675 1312000 1328500 1358000 1391950 1404560 1439674 1448000 1484200 1487920 1525118 1552000 1590800 1621760 1662304 1700480 1742992 1755700 1781696 1804103 1836800 1855250 1859900 1899776 1923668 1966384 1988500 2027200 2061832 2077880 2125600 2172800 2178740 2194625 2227120 2247296 2296000 2324875 2374720 2380672 2404585 2457980 2534000 2545280 2577290 2597350 2657000 2716000 2723425 2783900 2809120 2879348 2896000 2968400 2975840 3050236 3072475 3104000 3181600 3324608 3366419 3400960 3479875 3485984 3511400 3563392 3599185 3608206 3710500 3719800 3812795 3847336 3932768 3977000 4054400 4123664 4155760 4251200 4345600 4357480 4389250 4454240 4494592 4592000 4649750 4749440 4761344 4809170 4915960 5038859 5068000 5090560 5154580 5194700 5314000 5432000 5446850 5567800 5618240 5758696 5792000 5936800 5951680 6100472 6144950 6363200 6443225 6493375 6649216 6732838 6959750 6971968 7022800 7126784 7198370 7216412 7421000 7439600 7625590 7694672 7865536 7954000 8108800 8247328 8311520 8502400 8714960 8778500 8908480 9020515 9184000 9299500 9498880 9618340 9831920 10077718 10136000 10309160 10389400 10566889 10628000 10864000 10893700 11135600 11236480 11517392 11873600 11903360 12022925 12200944 12289900 12726400 12886450 12986750 13298432 13465676 13617125 13919500 13943936 14045600 14396740 14432824 14842000 14879200 15251180 15362375 15389344 15731072 15908000 16494656 16623040 16832095 17004800 17429920 17557000 17816960 17995925 18041030 18599000 19063975 19236680 19663840 19717597 20155436 20272000 20618320 20778800 21133778 21256000 21728000 21787400 22271200 22472960 23034784 23747200 23806720 24045850 24401888 24579800 25194295 25452800 25772900 25973500 26931352 27234250 27839000 27887872 28091200 28793480 28865648 29684000 29758400 30502360 30724750 30778688 31462144 31816000 32216125 32989312 33246080 33664190 34859840 35114000 35633920 35991850 36082060 37198000 38127950 38473360 39327680 39435194 40310872 40544000 41236640 41557600 42267556 42512000 43574800 44542400 45102575 46069568 46648949 47494400 48091700 48803776 49159600 50388590 51545800 51947000 52834445 53862704 54468500 55678000 56182400 57586960 57731296 59368000 59516800 60114625 61004720 61449500 61557376 63632000 64432250 65978624 66492160 67328380 69719680 70228000 71983700 72164120 73968223 74396000 76255900 76946720 78655360 78870388 80621744 82473280 83115200 84160475 84535112 85024000 87149600 89084800 89979625 90205150 92139136 93297898 95319875 96183400 97607552 98319200 98587985 100777180 103091600 103894000 105668890 107725408 108937000 111356000 112364800 115173920 115462592 118736000 119033600 120229250 122009440 122899000 123114752 125971475 127264000 128864500 134656760 138023179 139439360 140456000 143967400 144328240 147936446 148792000 152511800 153893440 157310720 157740776 161243488 164946560 166230400 168320950 169070224 174299200 178169600 179959250 180410300 184278272 186595796 190639750 192366800 195215104 196638400 197175970 201554360 206183200 207788000 211337780 215450816 217874000 222712000 225512875 230347840 230925184 233244745 237472000 240458500 244018880 245798000 251942950 257729000 264172225 269313520 276046358 280912000 287934800 288656480 295872892 297584000 305023600 307786880 315481552 322486976 326542643 329893120 332460800 336641900 338140448 348598400 359918500 360820600 369841115 373191592 381279500 384733600 393276800 394351940 403108720 412366400 415576000 420802375 422675560 430901632 435748000 445424000 451025750 460695680 461850368 466489490 480917000 488037760 491596000 492939925 503885900 515458000 528344450 538627040 552092716 561824000 575869600 577312960 591745784 595168000 610047200 615573760 629857375 630963104 644973952 653085286 673283800 676280896 690115895 697196800 719837000 721641200 739682230 746383184 762559000 769467200 786553600 788703880 806217440 824732800 831152000 841604750 845351120 861803264 871496000 890848000 902051500 921391360 932978980 961834000 976075520 983192000 985879850 1007771800 1030916000 1056688900 1077254080 1104185432 1151739200 1154625920 1166223725 1183491568 1220094400 1259714750 1261926208 1289947904 1306170572 1320861125 1346567600 1352561792 1380231790 1439674000 1443282400 1479364460 1492766368 1525118000 1538934400 1577407760 1612434880 1632713215 1649465600 1662304000 1683209500 1690702240 1742992000 1804103000 1849205575 1865957960 1912606909 1923668000 1966384000 1971759700 2015543600 2061832000 2113377800 2154508160 2208370864 2303478400 2309251840 2332447450 2366983136 2440188800 2464699625 2519429500 2523852416 2612341144 2641722250 2693135200 2705123584 2760463580 2879348000 2886564800 2958728920 2985532736 3050236000 3077868800 3154815520 3224869760 3265426430 3366419000 3381404480 3450579475 3485984000 3608206000 3698411150 3731915920 3825213818 3847336000 3932768000 3943519400 4031087200 4123664000 4226755600 4309016320 4416741728 4606956800 4664894900 4733966272 4880377600 4929399250 5038859000 5047704832 5224682288 5283444500 5386270400 5520927160 5758696000 5773129600 5831118625 5917457840 5971065472 6100472000 6309631040 6449739520 6530852860 6732838000 6762808960 6901158950 7216412000 7396822300 7463831840 7650427636 7694672000 7887038800 8062174400 8163566075 8247328000 8453511200 8833483456 9246027875 9329789800 9467932544 9563034545 9858798500 10077718000 10449364576 10566889000 10772540800 11041854320 11517392000 11546259200 11662237250 11834915680 11942130944 12200944000 12619262080 13061705720 13388248363 13465676000 13525617920 13802317900 14432824000 14793644600 14927663680 15300855272 15389344000 15774077600 16124348800 16327132150 16907022400 17252897375 17666966912 18492055750 18659579600 18935865088 19126069090 19717597000 20155436000 20898729152 21133778000 21545081600 22083708640 23034784000 23324474500 23669831360 24401888000 25238524160 26123411440 26776496726 26931352000 27604635800 28865648000 29587289200 29855327360 30601710544 31548155200 32248697600 32654264300 33814044800 34505794750 35333933824 36984111500 37319159200 38252138180 39435194000 40310872000 40817830375 41797458304 42267556000 44167417280 46648949000 47339662720 47815172725 52246822880 53552993452 53862704000 55209271600 57731296000 59174578400 59710654720 61203421088 63096310400 65308528600 66941241815 67628089600 69011589500 73968223000 74638318400 76504276360 78870388000 80621744000 81635660750 83594916608 84535112000 88334834560 93297898000 94679325440 95630345450 104493645760 107105986904 107725408000 110418543200 118349156800 122406842176 126192620800 130617057200 133882483630 138023179000 147936446000 149276636800 153008552720 157740776000 161243488000 163271321500 169070224000 176669669120 186595796000 191260690900 208987291520 214211973808 220837086400 236698313600 239075863625 244813684352 261234114400 267764967260 276046358000 295872892000 298553273600 306017105440 315481552000 326542643000 334706209075 338140448000 373191592000 382521381800 417974583040 428423947616 441674172800 473396627200 478151727250 489627368704 522468228800 535529934520 552092716000 591745784000 612034210880 630963104000 653085286000 669412418150 746383184000 765042763600 856847895232 883348345600 956303454500 1044936457600 1071059869040 1104185432000 1183491568000 1224068421760 1306170572000 1338824836300 1492766368000 1530085527200 1673531045375 1713695790464 1912606909000 2089872915200 2142119738080 2208370864000 2366983136000 2448136843520 2612341144000 2677649672600 3060171054400 3347062090750 3427391580928 3825213818000 4284239476160 4416741728000 5224682288000 5355299345200 6120342108800 6694124181500 7650427636000 8568478952320 10449364576000 10710598690400 12240684217600 13388248363000 15300855272000 17136957904640 21421197380800 26776496726000 30601710544000 42842394761600 53552993452000 61203421088000 85684789523200 107105986904000 214211973808000 428423947616000
- Sum of all divisors σ(n): 1269805536050688
- Sum of proper divisors (its aliquot sum) s(n): 841381588434688
- 428423947616000 is an abundant number, because the sum of its proper divisors (841381588434688) is greater than itself. Its abundance is 412957640818688
Bases of 428423947616000
- Binary: 11000010110100110001110010011010111111111000000002
- Hexadecimal: 0x185A63935FF00
- Base-36: 47V38STYBK
Squares and roots of 428423947616000
- 428423947616000 squared (4284239476160002) is 183547078890877112083456000000
- 428423947616000 cubed (4284239476160003) is 78635964111814955247535913964240896000000000
-
The
square root of 428423947616000 is 20698404.4702967383 -
The
cube root of 428423947616000 is 75386.0947848895
Scales and comparisons
How big is 428423947616000?- 428,423,947,616,000 seconds is equal to 13,622,556 years, 17 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 428,423,947,616,000 would take you about thirty-four million, fifty-six thousand, three hundred ninety 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 428423947616000 cubic inches would be around 6282.2 feet tall.
Recreational maths with 428423947616000
- 428423947616000 backwards is 000616749324824
- 428423947616000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428423947616000's digits is 56
- More coming soon!
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The information we have on file for 428423947616000 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!
Keywords: Divisors of 428423947616000, math, Factors of 428423947616000, curriculum, school, college, exams, university, Prime factorization of 428423947616000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, four hundred twenty-three billion, nine hundred forty-seven million, six hundred sixteen thousand.