428027134310400
428,027,134,310,400 is an even composite number composed of six prime numbers multiplied together.
428027134310400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 428027134310400:
211 × 3 × 52 × 232 × 67 × 78623
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 23 × 67 × 78623)See below for interesting mathematical facts about the number 428027134310400 from the Numbermatics database.
Names of 428027134310400
- Cardinal: 428027134310400 can be written as Four hundred twenty-eight trillion, twenty-seven billion, one hundred thirty-four million, three hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 4.280271343104 × 1014
Factors of 428027134310400
Divisors of 428027134310400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 64 67 69 75 80 92 96 100 115 120 128 134 138 150 160 184 192 200 201 230 240 256 268 276 300 320 335 345 368 384 400 402 460 480 512 529 536 552 575 600 640 670 690 736 768 800 804 920 960 1005 1024 1058 1072 1104 1150 1200 1280 1340 1380 1472 1536 1541 1587 1600 1608 1675 1725 1840 1920 2010 2048 2116 2144 2208 2300 2400 2560 2645 2680 2760 2944 3072 3082 3174 3200 3216 3350 3450 3680 3840 4020 4232 4288 4416 4600 4623 4800 5025 5120 5290 5360 5520 5888 6144 6164 6348 6400 6432 6700 6900 7360 7680 7705 7935 8040 8464 8576 8832 9200 9246 9600 10050 10240 10580 10720 11040 11776 12328 12696 12800 12864 13225 13400 13800 14720 15360 15410 15870 16080 16928 17152 17664 18400 18492 19200 20100 21160 21440 22080 23115 23552 24656 25392 25600 25728 26450 26800 27600 29440 30720 30820 31740 32160 33856 34304 35328 35443 36800 36984 38400 38525 39675 40200 42320 42880 44160 46230 47104 49312 50784 51200 51456 52900 53600 55200 58880 61640 63480 64320 67712 68608 70656 70886 73600 73968 76800 77050 78623 79350 80400 84640 85760 88320 92460 98624 101568 102912 105800 106329 107200 110400 115575 117760 123280 126960 128640 135424 137216 141312 141772 147200 147936 153600 154100 157246 158700 160800 169280 171520 176640 177215 184920 197248 203136 205824 211600 212658 214400 220800 231150 235520 235869 246560 253920 257280 270848 283544 294400 295872 308200 314492 317400 321600 338560 343040 353280 354430 369840 393115 394496 406272 411648 423200 425316 428800 441600 462300 471738 493120 507840 514560 531645 541696 567088 588800 591744 616400 628984 634800 643200 677120 686080 706560 708860 739680 786230 788992 812544 846400 850632 857600 883200 886075 924600 943476 986240 1015680 1029120 1063290 1083392 1134176 1177600 1179345 1183488 1232800 1257968 1269600 1286400 1354240 1417720 1479360 1572460 1577984 1625088 1692800 1701264 1715200 1766400 1772150 1808329 1849200 1886952 1965575 1972480 2031360 2058240 2126580 2268352 2358690 2366976 2465600 2515936 2539200 2572800 2658225 2708480 2835440 2958720 3144920 3155968 3250176 3385600 3402528 3430400 3532800 3544300 3616658 3698400 3773904 3931150 3944960 4062720 4253160 4536704 4717380 4733952 4931200 5031872 5078400 5145600 5267741 5316450 5416960 5424987 5670880 5896725 5917440 6289840 6771200 6805056 7088600 7233316 7396800 7547808 7862300 7889920 8125440 8506320 9041645 9073408 9434760 9467904 9862400 10063744 10156800 10291200 10535482 10632900 10849974 11341760 11793450 11834880 12579680 13542400 13610112 14177200 14466632 14793600 15095616 15724600 15779840 15803223 16250880 17012640 18083290 18146816 18869520 19724800 20127488 20313600 21070964 21265800 21699948 22683520 23586900 23669760 25159360 26338705 27084800 27124935 27220224 28354400 28933264 29587200 30191232 31449200 31606446 34025280 36166580 36293632 37739040 39449600 40254976 40627200 41591567 42141928 42531600 43399896 45208225 45367040 47173800 47339520 50318720 52677410 54249870 54440448 56708800 57866528 59174400 60382464 62898400 63212892 68050560 72333160 72587264 75478080 78899200 79016115 80509952 81254400 83183134 84283856 85063200 86799792 90416450 90734080 94347600 100637440 105354820 108499740 108880896 113417600 115733056 118348800 120764928 121158043 124774701 125796800 126425784 131693525 135624675 136101120 144666320 150956160 158032230 161019904 166366268 168567712 170126400 173599584 180832900 181468160 188695200 201274880 207957835 210709640 216999480 217761792 226835200 231466112 236697600 241529856 242316086 249549402 251593600 252851568 263387050 271249350 272202240 289332640 301912320 316064460 332732536 337135424 340252800 347199168 361665800 362936320 363474129 377390400 395080575 402549760 415915670 421419280 433998960 453670400 462932224 483059712 484632172 499098804 503187200 505703136 526774100 542498700 544404480 578665280 603824640 605790215 623873505 632128920 665465072 674270848 680505600 694398336 723331600 726948258 754780800 790161150 805099520 831831340 842838560 867997920 907340800 925864448 969264344 998197608 1006374400 1011406272 1039789175 1053548200 1084997400 1088808960 1157330560 1207649280 1211580430 1247747010 1264257840 1330930144 1348541696 1361011200 1388796672 1446663200 1453896516 1509561600 1580322300 1663662680 1685677120 1735995840 1814681600 1817370645 1851728896 1938528688 1996395216 2012748800 2022812544 2079578350 2107096400 2169994800 2314661120 2415298560 2423160860 2495494020 2528515680 2661860288 2697083392 2722022400 2777593344 2786634989 2893326400 2907793032 3019123200 3028951075 3119367525 3160644600 3327325360 3371354240 3471991680 3634741290 3703457792 3877057376 3992790432 4025497600 4045625088 4159156700 4214192800 4339989600 4629322240 4846321720 4990988040 5057031360 5323720576 5394166784 5444044800 5555186688 5573269978 5786652800 5815586064 6038246400 6057902150 6238735050 6321289200 6654650720 6742708480 6943983360 7269482580 7754114752 7985580864 8091250176 8318313400 8359904967 8428385600 8679979200 9086853225 9258644480 9692643440 9981976080 10114062720 10647441152 10788333568 11110373376 11146539956 11573305600 11631172128 12076492800 12115804300 12477470100 12642578400 13309301440 13485416960 13887966720 13933174945 14538965160 15508229504 15971161728 16182500352 16636626800 16719809934 16856771200 17359958400 18173706450 18517288960 19385286880 19963952160 20228125440 21294882304 22293079912 23146611200 23262344256 24231608600 24954940200 25285156800 26618602880 26970833920 27775933440 27866349890 29077930320 31016459008 31942323456 32365000704 33273253600 33439619868 33713542400 34719916800 36347412900 38770573760 39927904320 40456250880 41799524835 42589764608 44586159824 46293222400 46524688512 48463217200 49909880400 50570313600 53237205760 53941667840 55551866880 55732699780 58155860640 62032918016 63884646912 66546507200 66879239736 67427084800 69439833600 69665874725 72694825800 77541147520 79855808640 80912501760 83599049670 85179529216 89172319648 92586444800 93049377024 96926434400 99819760800 101140627200 106474411520 111465399560 116311721280 124065836032 127769293824 133093014400 133758479472 134854169600 138879667200 139331749450 145389651600 155082295040 159711617280 161825003520 167198099340 178344639296 186098754048 193852868800 199639521600 202281254400 208997624175 212948823040 222930799120 232623442560 248131672064 255538587648 266186028800 267516958944 269708339200 277759334400 278663498900 290779303200 310164590080 319423234560 334396198680 356689278592 372197508096 387705737600 399279043200 404562508800 417995248350 425897646080 445861598240 465246885120 532372057600 535033917888 557326997800 581558606400 620329180160 638846469120 668792397360 713378557184 744395016192 775411475200 798558086400 809125017600 835990496700 891723196480 930493770240 1064744115200 1070067835776 1114653995600 1163117212800 1240658360320 1277692938240 1337584794720 1426757114368 1550822950400 1597116172800 1671980993400 1783446392960 1860987540480 2129488230400 2140135671552 2229307991200 2326234425600 2675169589440 2853514228736 3101645900800 3194232345600 3343961986800 3566892785920 3721975080960 4280271343104 4458615982400 4652468851200 5350339178880 5707028457472 6203291801600 6388464691200 6687923973600 7133785571840 8560542686208 8917231964800 9304937702400 10700678357760 13375847947200 14267571143680 17121085372416 17834463929600 18609875404800 21401356715520 26751695894400 28535142287360 35668927859200 42802713431040 53503391788800 71337855718400 85605426862080 107006783577600 142675711436800 214013567155200 428027134310400
- Sum of all divisors σ(n): 1501290616250880
- Sum of proper divisors (its aliquot sum) s(n): 1073263481940480
- 428027134310400 is an abundant number, because the sum of its proper divisors (1073263481940480) is greater than itself. Its abundance is 645236347630080
Bases of 428027134310400
- Binary: 11000010101001001110101010100101101111000000000002
- Hexadecimal: 0x18549D54B7800
- Base-36: 47Q0Y8FO5C
Squares and roots of 428027134310400
- 428027134310400 squared (4280271343104002) is 183207227705973200883548160000
- 428027134310400 cubed (4280271343104003) is 78417664659940627334925468230026788864000000
-
The
square root of 428027134310400 is 20688816.6483827683 -
The
cube root of 428027134310400 is 75362.8129818483
Scales and comparisons
How big is 428027134310400?- 428,027,134,310,400 seconds is equal to 13,609,938 years, 46 weeks, 4 days, 5 hours, 20 minutes.
-
To count from 1 to 428,027,134,310,400 would take you about thirty-four million, twenty-four thousand, eight hundred forty-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 428027134310400 cubic inches would be around 6280.2 feet tall.
Recreational maths with 428027134310400
- 428027134310400 backwards is 004013431720824
- The number of decimal digits it has is: 15
- The sum of 428027134310400's digits is 39
- More coming soon!
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The information we have on file for 428027134310400 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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