428240134473302016
428,240,134,473,302,016 is an even composite number composed of three prime numbers multiplied together.
What does the number 428240134473302016 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 750 divisors.
428240134473302016 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seven hundred fifty divisors.
Prime factorization of 428240134473302016:
214 × 34 × 199
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 19 × 19 × 19 × 19 × 19 × 19 × 19 × 19)See below for interesting mathematical facts about the number 428240134473302016 from the Numbermatics database.
Names of 428240134473302016
- Cardinal: 428240134473302016 can be written as Four hundred twenty-eight quadrillion, two hundred forty trillion, one hundred thirty-four billion, four hundred seventy-three million, three hundred two thousand and sixteen.
Scientific notation
- Scientific notation: 4.28240134473302016 × 1017
Factors of 428240134473302016
Divisors of 428240134473302016
- Number of divisors d(n): 750
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 256 288 304 324 342 361 384 432 456 512 513 576 608 648 684 722 768 864 912 1024 1026 1083 1152 1216 1296 1368 1444 1536 1539 1728 1824 2048 2052 2166 2304 2432 2592 2736 2888 3072 3078 3249 3456 3648 4096 4104 4332 4608 4864 5184 5472 5776 6144 6156 6498 6859 6912 7296 8192 8208 8664 9216 9728 9747 10368 10944 11552 12288 12312 12996 13718 13824 14592 16384 16416 17328 18432 19456 19494 20577 20736 21888 23104 24576 24624 25992 27436 27648 29184 29241 32832 34656 36864 38912 38988 41154 41472 43776 46208 49152 49248 51984 54872 55296 58368 58482 61731 65664 69312 73728 77824 77976 82308 82944 87552 92416 98496 103968 109744 110592 116736 116964 123462 130321 131328 138624 147456 155648 155952 164616 165888 175104 184832 185193 196992 207936 219488 221184 233472 233928 246924 260642 262656 277248 311296 311904 329232 331776 350208 369664 370386 390963 393984 415872 438976 442368 466944 467856 493848 521284 525312 554496 555579 623808 658464 663552 700416 739328 740772 781926 787968 831744 877952 933888 935712 987696 1042568 1050624 1108992 1111158 1172889 1247616 1316928 1327104 1400832 1478656 1481544 1563852 1575936 1663488 1755904 1871424 1975392 2085136 2101248 2217984 2222316 2345778 2476099 2495232 2633856 2801664 2957312 2963088 3127704 3151872 3326976 3511808 3518667 3742848 3950784 4170272 4202496 4435968 4444632 4691556 4952198 4990464 5267712 5914624 5926176 6255408 6303744 6653952 7023616 7037334 7428297 7485696 7901568 8340544 8404992 8871936 8889264 9383112 9904396 9980928 10535424 10556001 11852352 12510816 12607488 13307904 14047232 14074668 14856594 14971392 15803136 16681088 17743872 17778528 18766224 19808792 19961856 21070848 21112002 22284891 23704704 25021632 25214976 26615808 28094464 28149336 29713188 29942784 31606272 33362176 35557056 37532448 39617584 39923712 42141696 42224004 44569782 47045881 47409408 50043264 53231616 56188928 56298672 59426376 59885568 63212544 66724352 66854673 71114112 75064896 79235168 79847424 84283392 84448008 89139564 94091762 94818816 100086528 112377856 112597344 118852752 119771136 126425088 133448704 133709346 141137643 142228224 150129792 158470336 159694848 168566784 168896016 178279128 188183524 189637632 200173056 200564019 225194688 237705504 239542272 252850176 266897408 267418692 282275286 284456448 300259584 316940672 337133568 337792032 356558256 376367048 379275264 400346112 401128038 423412929 450389376 475411008 479084544 505700352 533794816 534837384 564550572 568912896 600519168 633881344 675584064 713116512 752734096 758550528 800692224 802256076 846825858 893871739 900778752 950822016 1011400704 1067589632 1069674768 1129101144 1137825792 1201038336 1267762688 1270238787 1351168128 1426233024 1505468192 1517101056 1601384448 1604512152 1693651716 1787743478 1801557504 1901644032 2135179264 2139349536 2258202288 2275651584 2402076672 2535525376 2540477574 2681615217 2702336256 2852466048 3010936384 3034202112 3202768896 3209024304 3387303432 3575486956 3603115008 3803288064 3810716361 4278699072 4516404576 4551303168 4804153344 5071050752 5080955148 5363230434 5404672512 5704932096 6021872768 6405537792 6418048608 6774606864 7150973912 7206230016 7606576128 7621432722 8044845651 8557398144 9032809152 9102606336 9608306688 10142101504 10161910296 10726460868 10809345024 11409864192 12043745536 12836097216 13549213728 14301947824 14412460032 15213152256 15242865444 16089691302 16983563041 17114796288 18065618304 19216613376 20284203008 20323820592 21452921736 21618690048 22819728384 24087491072 24134536953 25672194432 27098427456 28603895648 28824920064 30426304512 30485730888 32179382604 33967126082 34229592576 36131236608 40568406016 40647641184 42905843472 43237380096 45639456768 48174982144 48269073906 50950689123 51344388864 54196854912 57207791296 57649840128 60852609024 60971461776 64358765208 67934252164 68459185152 72262473216 72403610859 81295282368 85811686944 86474760192 91278913536 96349964288 96538147812 101901378246 102688777728 108393709824 114415582592 121705218048 121942923552 128717530416 135868504328 136918370304 144524946432 144807221718 152852067369 162590564736 171623373888 172949520384 182557827072 192699928576 193076295624 203802756492 205377555456 216787419648 228831165184 243885847104 257435060832 271737008656 273836740608 289049892864 289614443436 305704134738 322687697779 325181129472 343246747776 365115654144 385399857152 386152591248 407605512984 410755110912 433574839296 457662330368 458556202107 487771694208 514870121664 543474017312 547673481216 578099785728 579228886872 611408269476 645375395558 650362258944 686493495552 770799714304 772305182496 815211025968 821510221824 867149678592 915324660736 917112404214 968063093337 975543388416 1029740243328 1086948034624 1095346962432 1156199571456 1158457773744 1222816538952 1290750791116 1300724517888 1372986991104 1375668606321 1544610364992 1630422051936 1643020443648 1734299357184 1830649321472 1834224808428 1936126186674 1951086776832 2059480486656 2173896069248 2312399142912 2316915547488 2445633077904 2581501582232 2601449035776 2745973982208 2751337212642 2904189280011 3089220729984 3260844103872 3286040887296 3468598714368 3661298642944 3668449616856 3872252373348 3902173553664 4118960973312 4347792138496 4633831094976 4891266155808 5163003164464 5202898071552 5491947964416 5502674425284 5808378560022 6178441459968 6521688207744 6937197428736 7322597285888 7336899233712 7744504746696 7804347107328 8237921946624 8695584276992 8712567840033 9267662189952 9782532311616 10326006328928 10405796143104 10983895928832 11005348850568 11616757120044 12356882919936 13043376415488 14645194571776 14673798467424 15489009493392 15608694214656 16475843893248 17391168553984 17425135680066 18535324379904 19565064623232 20652012657856 20811592286208 21967791857664 22010697701136 23233514240088 24713765839872 26086752830976 26137703520099 29347596934848 30978018986784 31217388429312 32951687786496 34782337107968 34850271360132 37070648759808 39130129246464 41304025315712 43935583715328 44021395402272 46467028480176 49427531679744 52173505661952 52275407040198 58695193869696 61956037973568 62434776858624 65903375572992 69564674215936 69700542720264 74141297519616 78260258492928 82608050631424 88042790804544 92934056960352 98855063359488 104347011323904 104550814080396 117390387739392 123912075947136 131806751145984 139129348431872 139401085440528 148282595039232 156520516985856 165216101262848 176085581609088 185868113920704 197710126718976 208694022647808 209101628160792 234780775478784 247824151894272 278258696863744 278802170881056 296565190078464 313041033971712 330432202525696 352171163218176 371736227841408 395420253437952 417388045295616 418203256321584 469561550957568 495648303788544 557604341762112 593130380156928 626082067943424 660864405051392 704342326436352 743472455682816 834776090591232 836406512643168 939123101915136 991296607577088 1115208683524224 1186260760313856 1252164135886848 1321728810102784 1408684652872704 1486944911365632 1672813025286336 1878246203830272 1982593215154176 2230417367048448 2504328271773696 2643457620205568 2817369305745408 2973889822731264 3345626050572672 3756492407660544 3965186430308352 4460834734096896 5286915240411136 5634738611490816 5947779645462528 6691252101145344 7512984815321088 7930372860616704 8921669468193792 11269477222981632 11895559290925056 13382504202290688 15860745721233408 17843338936387584 22538954445963264 23791118581850112 26765008404581376 35686677872775168 47582237163700224 53530016809162752 71373355745550336 107060033618325504 142746711491100672 214120067236651008 428240134473302016
- Sum of all divisors σ(n): 1350471912021624700
- Sum of proper divisors (its aliquot sum) s(n): 922231777548322684
- 428240134473302016 is an abundant number, because the sum of its proper divisors (922231777548322684) is greater than itself. Its abundance is 493991643075020668
Bases of 428240134473302016
- Binary: 101111100010110101000100010001001011101100011000000000000002
- Hexadecimal: 0x5F16A2225D8C000
- Base-36: 394MGHVKSG00
Squares and roots of 428240134473302016
- 428240134473302016 squared (4282401344733020162) is 183389612773711793732635086349664256
- 428240134473302016 cubed (4282401344733020163) is 78534792435221123664701153328114143206080477287940096
-
The
square root of 428240134473302016 is 654400591.7427810639 -
The
cube root of 428240134473302016 is 753753.1190086371
Scales and comparisons
How big is 428240134473302016?- 428,240,134,473,302,016 seconds is equal to 13,616,711,642 years, 28 weeks, 1 day, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 428,240,134,473,302,016 would take you about forty billion, eight hundred fifty million, one hundred thirty-four thousand, nine hundred twenty-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 428240134473302016 cubic inches would be around 62812.8 feet tall.
Recreational maths with 428240134473302016
- 428240134473302016 backwards is 610203374431042824
- 428240134473302016 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428240134473302016's digits is 54
- More coming soon!
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The information we have on file for 428240134473302016 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 428240134473302016, math, Factors of 428240134473302016, curriculum, school, college, exams, university, Prime factorization of 428240134473302016, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, two hundred forty trillion, one hundred thirty-four billion, four hundred seventy-three million, three hundred two thousand and sixteen.