137428095656250
137,428,095,656,250 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137428095656250 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1568 divisors.
137428095656250 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty-eight divisors.
Prime factorization of 137428095656250:
2 × 36 × 56 × 7 × 23 × 89 × 421
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 23 × 89 × 421)See below for interesting mathematical facts about the number 137428095656250 from the Numbermatics database.
Names of 137428095656250
- Cardinal: 137428095656250 can be written as One hundred thirty-seven trillion, four hundred twenty-eight billion, ninety-five million, six hundred fifty-six thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3742809565625 × 1014
Factors of 137428095656250
Divisors of 137428095656250
- Number of divisors d(n): 1568
-
Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 23 25 27 30 35 42 45 46 50 54 63 69 70 75 81 89 90 105 115 125 126 135 138 150 161 162 175 178 189 207 210 225 230 243 250 267 270 315 322 345 350 375 378 405 414 421 445 450 483 486 525 534 567 575 621 623 625 630 675 690 729 750 801 805 810 842 875 890 945 966 1035 1050 1125 1134 1150 1215 1242 1246 1250 1263 1335 1350 1449 1458 1575 1602 1610 1701 1725 1750 1863 1869 1875 1890 2025 2047 2070 2105 2225 2250 2403 2415 2430 2526 2625 2670 2835 2875 2898 2947 3105 3115 3125 3150 3375 3402 3450 3645 3726 3738 3750 3789 4005 4025 4050 4094 4210 4347 4375 4450 4725 4806 4830 5103 5175 5250 5589 5607 5625 5670 5750 5894 6075 6141 6210 6230 6250 6315 6675 6750 7209 7245 7290 7578 7875 8010 8050 8505 8625 8694 8750 8841 9315 9345 9375 9450 9683 10125 10206 10235 10350 10525 11125 11178 11214 11250 11367 12015 12075 12150 12282 12630 13041 13125 13350 14175 14329 14375 14418 14490 14735 15525 15575 15625 15750 16767 16821 16875 17010 17250 17682 18225 18423 18630 18690 18750 18945 19366 20025 20125 20250 20470 21050 21627 21735 21875 22250 22734 23625 24030 24150 25515 25875 26082 26250 26523 27945 28035 28125 28350 28658 28750 29049 29470 30375 30705 31050 31150 31250 31575 33375 33534 33642 33750 34101 36045 36225 36450 36846 37469 37890 39123 39375 40050 40250 42525 42987 43125 43254 43470 43750 44205 46575 46725 46875 47250 48415 50463 50625 51030 51175 51750 52625 53046 55269 55625 55890 56070 56250 56835 58098 60075 60375 60750 61410 63150 64881 65205 65625 66750 67781 68202 70875 71645 71875 72090 72450 73675 74938 77625 77875 78246 78750 79569 83835 84105 84375 85050 85974 86250 87147 88410 91125 92115 93150 93450 93750 94725 96830 100125 100625 100926 101250 102303 102350 105250 108135 108675 109375 110538 111250 112407 113670 117369 118125 120150 120750 127575 128961 129375 129762 130410 131250 132615 135562 139725 140175 140625 141750 143290 143750 145245 147350 151389 151875 153525 155250 155750 157875 159138 165807 166875 167670 168210 168750 170505 174294 180225 181125 182250 184230 187345 189450 195615 196875 200250 201250 203343 204606 212625 214935 215625 216270 217350 218750 221025 224814 232875 233625 234738 236250 238707 242075 252315 253125 255150 255875 257922 258750 261441 262283 263125 265230 276345 278125 279450 280350 281250 284175 290490 300375 301875 302778 303750 306909 307050 315750 324405 326025 328125 331614 333750 337221 338905 341010 354375 358225 359375 360450 362250 368375 374690 386883 388125 389375 391230 393750 397845 406686 419175 420525 421875 425250 429870 431250 435735 442050 454167 455625 460575 465750 467250 473625 477414 484150 497421 500625 503125 504630 506250 511515 511750 522882 524566 526250 540675 543375 552690 556250 562035 568350 586845 590625 600750 603750 610029 613818 637875 644805 646875 648810 652050 656250 663075 674442 677810 698625 700875 708750 716121 716450 718750 726225 736750 756945 759375 767625 773766 776250 778750 784323 786849 789375 795690 829035 834375 838350 841050 843750 852525 861787 871470 901125 905625 908334 911250 921150 936725 947250 978075 984375 994842 1001250 1006250 1011663 1016715 1023030 1063125 1074675 1078125 1081350 1086750 1105125 1124070 1160649 1164375 1168125 1173690 1181250 1193535 1210375 1220058 1261575 1265625 1275750 1279375 1289610 1293750 1307205 1311415 1315625 1326150 1381725 1390625 1397250 1401750 1420875 1432242 1452450 1492263 1501875 1509375 1513890 1518750 1534545 1535250 1568646 1573698 1578750 1622025 1630125 1658070 1668750 1686105 1694525 1705050 1723574 1771875 1791125 1802250 1811250 1830087 1841875 1873450 1934415 1940625 1946875 1956150 1968750 1989225 2023326 2033430 2095875 2102625 2126250 2148363 2149350 2156250 2178675 2210250 2270835 2278125 2302875 2321298 2328750 2336250 2352969 2360547 2368125 2387070 2420750 2487105 2503125 2515625 2523150 2531250 2557575 2558750 2585361 2614410 2622830 2631250 2703375 2716875 2763450 2781250 2810175 2841750 2934225 2953125 2984526 3003750 3018750 3034989 3050145 3069090 3189375 3224025 3234375 3244050 3260250 3315375 3372210 3389050 3481947 3493125 3504375 3543750 3580605 3582250 3631125 3660174 3683750 3784725 3796875 3838125 3868830 3881250 3893750 3921615 3934245 3946875 3978450 4145175 4171875 4191750 4205250 4262625 4296726 4308935 4357350 4505625 4528125 4541670 4556250 4605750 4683625 4705938 4721094 4736250 4890375 4974210 5006250 5031250 5058315 5083575 5115150 5170722 5315625 5373375 5406750 5433750 5490261 5525625 5620350 5803245 5821875 5840625 5868450 5906250 5967675 6032509 6051875 6069978 6100290 6307875 6378750 6396875 6448050 6468750 6536025 6557075 6578125 6630750 6908625 6963894 6986250 7008750 7058907 7081641 7104375 7161210 7262250 7461315 7509375 7546875 7569450 7593750 7672725 7676250 7756083 7843230 7868490 7893750 8110125 8150625 8290350 8343750 8430525 8472625 8525250 8617870 8859375 8955625 9011250 9056250 9104967 9150435 9209375 9367250 9672075 9703125 9734375 9780750 9946125 10116630 10167150 10445841 10479375 10513125 10631250 10741815 10746750 10893375 10980522 11051250 11354175 11390625 11514375 11606490 11643750 11681250 11764845 11802735 11840625 11935350 12065018 12103750 12435525 12515625 12615750 12787875 12793750 12926805 13072050 13114150 13156250 13516875 13584375 13817250 14050875 14117814 14163282 14208750 14671125 14922630 15018750 15093750 15174945 15250725 15345450 15512166 15946875 16120125 16220250 16301250 16470783 16576875 16861050 16945250 17409735 17465625 17521875 17718750 17903025 17911250 18097527 18155625 18209934 18300870 18418750 18923625 19190625 19344150 19406250 19468750 19608075 19671225 19734375 19892250 20725875 20891682 20958750 21026250 21244923 21313125 21483630 21544675 21786750 22528125 22640625 22708350 22781250 23028750 23268249 23418125 23529690 23605470 23681250 24451875 24871050 25031250 25291575 25417875 25575750 25853610 26578125 26866875 27033750 27168750 27314901 27451305 27628125 28101750 29016225 29109375 29203125 29342250 29838375 30162545 30259375 30349890 30501450 31539375 31893750 31984375 32240250 32680125 32785375 32941566 33153750 34543125 34819470 34931250 35043750 35294535 35408205 35521875 35806050 36195054 36311250 37306575 37546875 37847250 38363625 38381250 38780415 39216150 39342450 39468750 40550625 40753125 41451750 42152625 42363125 42489846 42626250 43089350 44778125 45056250 45281250 45524835 45752175 46046875 46536498 46836250 48360375 48903750 49412349 49730625 50583150 50835750 52229205 52396875 52565625 53156250 53709075 53733750 54292581 54466875 54629802 54902610 55256250 56770875 57571875 58032450 58218750 58406250 58824225 59013675 59203125 59676750 60325090 60518750 62177625 63078750 63734769 63939375 63968750 64634025 65360250 65570750 67584375 67921875 69086250 69804747 70254375 70589070 70816410 71043750 73355625 74613150 75093750 75874725 76253625 76727250 77560830 79734375 80600625 81101250 81506250 82353915 82884375 84305250 84726250 87048675 87328125 87609375 89515125 89556250 90487635 90778125 91049670 91504350 92093750 94618125 95953125 96720750 98040375 98356125 98824698 99461250 103629375 104458410 104793750 105131250 106224615 106565625 107418150 107723375 108585162 108933750 112640625 113541750 115143750 116341245 117090625 117648450 118027350 118406250 122259375 124355250 126457875 127089375 127469538 127878750 129268050 134334375 135168750 135843750 136574505 137256525 138140625 139609494 140508750 145081125 146711250 149191875 150812725 151296875 151749450 152507250 157696875 159468750 161201250 162877743 163400625 163926875 164707830 165768750 172715625 174097350 174656250 175218750 176472675 177041025 177609375 179030250 180975270 181556250 186532875 189236250 191204307 191818125 191906250 193902075 196080750 196712250 202753125 203765625 207258750 209414241 210763125 211815625 212449230 213131250 215446750 223890625 225281250 227624175 228760875 232682490 234181250 241801875 244518750 247061745 248653125 252915750 254178750 261146025 261984375 262828125 268545375 268668750 271462905 272334375 273149010 274513050 276281250 283854375 287859375 290162250 294121125 295068375 298383750 301625450 302593750 310888125 315393750 318673845 319696875 323170125 325755486 326801250 327853750 337921875 345431250 349023735 351271875 352945350 354082050 355218750 366778125 373065750 379373625 381268125 382408614 383636250 387804150 403003125 405506250 407531250 411769575 414421875 418828482 421526250 423631250 435243375 447575625 447781250 452438175 453890625 455248350 457521750 473090625 483603750 488633229 490201875 491780625 494123490 497306250 518146875 522292050 523968750 525656250 531123075 532828125 537090750 538616875 542925810 544668750 567708750 575718750 581706225 585453125 588242250 590136750 611296875 621776250 628242723 632289375 635446875 637347690 639393750 646340250 671671875 675843750 682872525 686282625 698047470 702543750 725405625 733556250 745959375 754063625 758747250 762536250 788484375 806006250 814388715 817003125 819634375 823539150 828843750 863578125 870486750 882363375 885205125 895151250 904876350 907781250 932664375 946181250 956021535 959090625 969510375 977266458 980403750 983561250 1013765625 1036293750 1047071205 1053815625 1059078125 1062246150 1065656250 1077233750 1138120875 1143804375 1163412450 1170906250 1209009375 1222593750 1235308725 1243265625 1256485446 1264578750 1270893750 1305730125 1342726875 1343343750 1357314525 1361671875 1365745050 1372565250 1419271875 1450811250 1465899687 1470605625 1475341875 1491918750 1508127250 1554440625 1576968750 1593369225 1598484375 1615850625 1628777430 1634006250 1639268750 1727156250 1745118675 1756359375 1764726750 1770410250 1833890625 1865328750 1896868125 1906340625 1912043070 1918181250 1939020750 2015015625 2027531250 2058847875 2094142410 2107631250 2118156250 2176216875 2237878125 2262190875 2276241750 2287608750 2365453125 2418018750 2443166145 2451009375 2458903125 2470617450 2486531250 2590734375 2611460250 2655615375 2685453750 2693084375 2714629050 2723343750 2838543750 2908531125 2931799374 2941211250 2950683750 3108881250 3141213615 3161446875 3177234375 3186738450 3196968750 3231701250 3414362625 3431413125 3490237350 3512718750 3627028125 3667781250 3729796875 3770318125 3793736250 3812681250 4030031250 4071943575 4085015625 4098171875 4117695750 4352433750 4397699061 4411816875 4426025625 4475756250 4524381750 4663321875 4730906250 4780107675 4795453125 4847551875 4886332290 4902018750 4917806250 5181468750 5235356025 5269078125 5311230750 5386168750 5690604375 5719021875 5817062250 6045046875 6176543625 6282427230 6322893750 6354468750 6528650625 6713634375 6786572625 6828725250 6862826250 7096359375 7254056250 7329498435 7353028125 7376709375 7459593750 7540636250 7772203125 7966846125 8079253125 8143887150 8170031250 8196343750 8725593375 8795398122 8823633750 8852051250 9326643750 9484340625 9531703125 9560215350 9590906250 9695103750 10294239375 10470712050 10538156250 10881084375 11189390625 11310954375 11381208750 11438043750 12090093750 12215830725 12255046875 12294515625 12353087250 13057301250 13278076875 13427268750 13465421875 13573145250 14192718750 14542655625 14658996870 14706056250 14753418750 15544406250 15706068075 15807234375 15933692250 16158506250 17071813125 17157065625 17451186750 18135140625 18851590625 18968681250 19063406250 20359717875 20588478750 21762168750 21988495305 22059084375 22130128125 22378781250 22621908750 23316609375 23900538375 24237759375 24431661450 24510093750 24589031250 26176780125 26556153750 26930843750 28453021875 28595109375 29085311250 30882718125 31412136150 31614468750 32643253125 33568171875 33932863125 34143626250 34314131250 36270281250 36647492175 36765140625 36883546875 37703181250 39834230625 40396265625 40719435750 43627966875 43976990610 44118168750 44260256250 46633218750 47421703125 47801076750 48475518750 51471196875 52353560250 54405421875 56554771875 56906043750 57190218750 61079153625 61765436250 65286506250 66390384375 67136343750 67865726250 72713278125 73294984350 73530281250 73767093750 78530340375 79668461250 80792531250 85359065625 85785328125 87255933750 94257953125 94843406250 101798589375 102942393750 108810843750 109942476525 110295421875 110650640625 113109543750 119502691875 121188796875 122158307250 130883900625 132780768750 142265109375 145426556250 154413590625 157060680750 163216265625 169664315625 170718131250 171570656250 183237460875 188515906250 199171153125 203597178750 218139834375 219884953050 220590843750 221301281250 239005383750 242377593750 257355984375 261767801250 282773859375 284530218750 305395768125 308827181250 326432531250 331951921875 339328631250 363566390625 366474921750 392651701875 398342306250 426795328125 436279668750 508992946875 514711968750 549712382625 565547718750 597513459375 610791536250 654419503125 663903843750 727132781250 772067953125 785303403750 848321578125 853590656250 916187304375 995855765625 1017985893750 1090699171875 1099424765250 1195026918750 1308839006250 1526978840625 1544135906250 1696643156250 1832374608750 1963258509375 1991711531250 2181398343750 2544964734375 2748561913125 2987567296875 3053957681250 3272097515625 3926517018750 4580936521875 5089929468750 5497123826250 5975134593750 6544195031250 7634894203125 9161873043750 9816292546875 13742809565625 15269788406250 19632585093750 22904682609375 27485619131250 45809365218750 68714047828125 137428095656250
- Sum of all divisors σ(n): 467005597251840
- Sum of proper divisors (its aliquot sum) s(n): 329577501595590
- 137428095656250 is an abundant number, because the sum of its proper divisors (329577501595590) is greater than itself. Its abundance is 192149405939340
Bases of 137428095656250
- Binary: 111110011111101011110001101001011100001001110102
- Hexadecimal: 0x7CFD78D2E13A
- Base-36: 1CPPLFV5MI
Squares and roots of 137428095656250
- 137428095656250 squared (1374280956562502) is 18886481475703400118164062500
- 137428095656250 cubed (1374280956562503) is 2595533182852960531692418334381103515625000
-
The
square root of 137428095656250 is 11722972.9870988783 -
The
cube root of 137428095656250 is 51605.0071829363
Scales and comparisons
How big is 137428095656250?- 137,428,095,656,250 seconds is equal to 4,369,788 years, 18 weeks, 23 hours, 37 minutes, 30 seconds.
-
To count from 1 to 137,428,095,656,250 would take you about ten million, nine hundred twenty-four thousand, four hundred seventy 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 137428095656250 cubic inches would be around 4300.4 feet tall.
Recreational maths with 137428095656250
- 137428095656250 backwards is 052656590824731
- 137428095656250 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137428095656250's digits is 63
- More coming soon!
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"Number 137428095656250 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 137428095656250 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/137428095656250/
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The information we have on file for 137428095656250 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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