137950434828500
137,950,434,828,500 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137950434828500 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
137950434828500 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137950434828500:
22 × 53 × 72 × 17 × 192 × 37 × 137 × 181
(2 × 2 × 5 × 5 × 5 × 7 × 7 × 17 × 19 × 19 × 37 × 137 × 181)See below for interesting mathematical facts about the number 137950434828500 from the Numbermatics database.
Names of 137950434828500
- Cardinal: 137950434828500 can be written as One hundred thirty-seven trillion, nine hundred fifty billion, four hundred thirty-four million, eight hundred twenty-eight thousand, five hundred.
Scientific notation
- Scientific notation: 1.379504348285 × 1014
Factors of 137950434828500
Divisors of 137950434828500
- Number of divisors d(n): 1728
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Complete list of divisors:
1 2 4 5 7 10 14 17 19 20 25 28 34 35 37 38 49 50 68 70 74 76 85 95 98 100 119 125 133 137 140 148 170 175 181 185 190 196 238 245 250 259 266 274 323 340 350 361 362 370 380 425 475 476 490 500 518 532 548 595 629 646 665 685 700 703 722 724 740 833 850 875 905 925 931 950 959 980 1036 1190 1225 1258 1267 1292 1295 1330 1370 1406 1444 1615 1666 1700 1750 1805 1810 1813 1850 1862 1900 1918 2125 2261 2329 2375 2380 2450 2516 2527 2534 2590 2603 2660 2740 2812 2975 3077 3145 3230 3325 3332 3425 3439 3500 3515 3610 3620 3626 3700 3724 3836 4165 4250 4403 4522 4525 4625 4655 4658 4750 4795 4900 4921 5054 5068 5069 5180 5206 5950 6125 6137 6154 6290 6335 6460 6475 6650 6697 6713 6850 6878 7030 7220 7252 8075 8330 8500 8806 8869 9025 9044 9050 9065 9250 9310 9316 9500 9590 9842 10108 10138 10412 11305 11645 11900 11951 12250 12274 12308 12580 12635 12670 12950 13015 13300 13357 13394 13426 13700 13756 14060 14875 15385 15725 15827 16150 16303 16625 16660 17125 17195 17575 17612 17689 17738 18050 18100 18130 18221 18500 18620 19180 19684 20276 20825 21539 22015 22610 22625 23275 23290 23902 23975 24073 24500 24548 24605 24797 25270 25340 25345 25900 26030 26714 26788 26852 29750 30685 30770 30821 31450 31654 31675 32300 32375 32606 33250 33485 33565 34250 34390 34447 35150 35378 35476 35483 36100 36260 36442 40375 41650 42959 43078 44030 44251 44345 45125 45220 45250 45325 46550 46580 46879 47804 47950 48146 49210 49457 49594 50540 50690 52060 53428 56525 58225 58463 59500 59755 61370 61540 61642 62900 63175 63308 63350 64750 65075 65212 65341 66500 66785 66970 67130 68500 68780 68894 70300 70756 70966 72884 76925 78625 79135 80750 81515 83300 83657 85918 85975 86156 86173 87875 88060 88445 88502 88690 90250 90500 90650 91105 93100 93499 93758 95900 96292 96311 98420 98914 99188 101380 104125 107695 110075 113050 113849 114121 116375 116450 116926 119510 119875 120365 122740 123025 123284 123985 126350 126700 126725 127243 127547 129500 130150 130682 133570 133940 134260 137788 141932 150773 153425 153850 154105 157250 158270 158375 161500 163030 167314 167425 167825 168511 171836 171950 172235 172346 173579 175750 176890 177004 177380 177415 180500 181300 182210 186998 187516 192622 197828 208250 214795 215390 220150 221255 221725 226100 226625 227069 227698 228242 232750 232900 233852 234395 239020 239750 240730 246050 247285 247970 248381 252700 253450 254486 255094 260300 261364 267140 282625 291125 292315 298775 300713 301546 306850 307700 308210 309757 314500 315875 316540 316750 325375 326060 326705 328153 333925 334628 334850 335650 337022 343900 344470 344692 346199 347158 351500 353780 354830 364420 373996 384625 385244 395675 407575 409241 416500 418285 421549 429590 429875 430780 430865 440300 442225 442510 443450 453250 454138 455396 455525 456484 457387 465500 467495 468790 471143 479500 481460 481555 492100 494570 495940 496762 506900 508972 510188 538475 550375 565250 569245 570605 582250 584630 585599 597550 601426 601825 603092 603211 613700 615125 616420 619514 619925 631750 633500 633625 636215 637735 650750 653410 654493 656306 667850 669700 671300 674044 674177 688940 692398 694316 709660 753865 767125 769250 770525 791350 796943 815150 818482 836570 837125 839125 840769 842555 843098 859180 859750 861175 861730 867895 884450 885020 886900 887075 890701 906500 908276 911050 914774 917489 934990 937580 942286 963110 989140 993524 1073975 1076950 1100750 1106275 1108625 1110797 1130500 1135345 1138490 1141210 1164500 1169260 1171198 1171975 1195100 1202852 1203650 1206422 1215053 1230250 1236425 1239028 1239850 1241905 1263500 1267250 1272430 1275470 1301500 1306820 1308986 1312612 1335700 1348354 1384796 1461575 1493875 1503565 1507730 1534250 1538500 1541050 1548785 1582700 1589483 1593886 1630300 1633525 1636964 1637287 1640765 1669625 1673140 1674250 1678250 1681538 1685110 1686196 1719500 1722350 1723460 1730995 1735790 1768900 1774150 1781402 1822100 1829548 1829909 1834978 1869980 1884572 1926220 1978375 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99617875 102310250 103279505 105096125 105387250 105561925 105993419 108156550 108414950 108858106 109181191 111079700 111263810 111337625 111572020 112132034 113534500 114346750 114610090 114686125 115430035 117707660 117785750 117980975 118463233 120880850 121169650 121505300 122026037 124190500 124433812 124698140 125324038 128093630 128448460 138849625 139465025 143234350 146399750 147134575 147542150 150356500 150802750 151419170 151881625 152179189 154878500 155511580 155542265 155872675 155973130 158948300 160085450 160188620 160454126 160560575 163623250 163728700 164076500 164397956 164790724 164900050 168544250 169233190 173099500 174322910 179034340 179331082 179827844 182990900 194389475 198685375 199235750 200235775 204620500 204660875 205497445 205988405 206559010 210192250 210774500 211123850 211986838 216313100 216829900 217716212 217759171 218362382 222527620 222675250 223792925 224264068 224784805 228693500 228738625 229220180 229372250 230860070 235571500 235961950 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626620190 640468150 642242300 662427058 697325125 716171750 735672875 737710750 757095850 760895945 764268337 777557900 777711325 779363375 779865650 784924238 794741500 800427250 800943100 802270630 802802875 818643500 821989780 823953620 824500250 846165950 854182259 871036684 871614550 877268266 895171700 896655410 899139220 914954500 971947375 1001178875 1027487225 1029942025 1032795050 1055619250 1059934190 1065254323 1081565500 1084149500 1088581060 1088795855 1091811910 1112638100 1118964625 1121320340 1123924025 1146100900 1150785692 1154300350 1179809750 1184632330 1185395788 1208808500 1211696500 1220260370 1253240380 1280936300 1324854116 1360726325 1390797625 1394650250 1401650425 1432343500 1432626125 1438482115 1471345750 1475421500 1481744735 1514191700 1521791890 1524314197 1528536674 1555422650 1558726750 1559731300 1566550475 1569848476 1600854500 1601170375 1604541260 1605605750 1649000500 1656067645 1692331900 1708364518 1743229100 1754536532 1793310820 1892739625 1943894750 1949664125 1962310595 2002357750 2005676575 2013874961 2054974450 2059884050 2065590100 2074442629 2111238500 2115414875 2119868380 2130508646 2177591710 2179036375 2183623820 2193170665 2237929250 2241638525 2247848050 2308600700 2318494703 2359619500 2369264660 2440520740 2581987625 2649835475 2721452650 2729529775 2781595250 2789300500 2803300850 2865252250 2876964230 2885750875 2942691500 2961580825 2963489470 3043583780 3048628394 3050650925 3057073348 3110845300 3117453500 3133100950 3202340750 3211211500 3312135290 3416729036 3785479250 3804479725 3821341685 3887789500 3888556625 3899328250 3924621190 4004715500 4011353150 4027749922 4109948900 4119768100 4148885258 4230829750 4261017292 4270911295 4355183420 4358072750 4386341330 4475858500 4483277050 4495696100 4636989406 5137436125 5149710125 5163975250 5299670950 5326271615 5442905300 5443979275 5459059550 5563190500 5606601700 5619620125 5630629993 5730504500 5753928460 5771501750 5923161650 5926978940 6097256788 6101301850 6266201900 6404681500 6624270580 6803631625 7008252125 7192410575 7408723675 7456780261 7570958500 7608959450 7621570985 7642683370 7777113250 7798656500 7832752375 7849242380 8022706300 8055499844 8280338225 8297770516 8461659500 8541822590 8716145500 8772682660 8966554100 9273978812 9811552975 10028382875 10069374805 10274872250 10299420250 10327950500 10372213145 10599341900 10652543230 10887958550 10918119100 10965853325 11208192625 11239240250 11261259986 11543003500 11592473515 11846323300 12202603700 13249177375 13607263250 13647648875 14016504250 14384821150 14521098403 14807904125 14817447350 14913560522 15217918900 15243141970 15253254625 15285366740 15554226500 15665504750 16229462921 16560676450 17083645180 19022398625 19106708425 19623105950 20056765750 20138749610 20549744500 20598840500 20744426290 21305086460 21354556475 21775917100 21931706650 22416385250 22478480500 22522519972 23184947030 26498354750 26631358075 27214526500 27219896375 27295297750 28033008500 28153149965 28769642300 29042196806 29615808250 29634894700 29827121044 30486283940 30506509250 31331009500 32458925842 33121352900 35962052875 37043618375 37283901305 38044797250 38107854925 38213416850 39246211900 39414409951 40113531500 40277499220 41401691125 41488852580 42709112950 43863413300 44832770500 46369894060 49057764875 50346874025 51861065725 52996709500 53262716150 54439792750 54590595500 54829266625 56306299930 57962367575 58084393612 59231616500 61013018500 64917851684 71924105750 72605492015 74087236750 74567802610 76089594500 76215709850 76426833700 78828819902 81147314605 82803382250 85418225900 95533542125 98115529750 100693748050 103722131450 106525432300 106772782375 108879585500 109658533250 112612599860 115924735150 133156790375 140765749825 143848211500 145210984030 148174473500 149135605220 152431419700 157657639804 162294629210 165606764500 186419506525 190539274625 191067084250 196231059500 197072049755 201387496100 207444262900 213545564750 219317066500 231849470300 251734370125 259305328625 266313580750 275900869657 281531499650 289811837875 290421968060 324589258420 363027460075 372839013050 381078549250 382134168500 394144099510 405736573025 427091129500 503468740250 518610657250 532627161500 551801739314 563062999300 579623675750 703828749125 726054920150 745678026100 762157098500 788288199020 811473146050 932097532625 985360248775 1006937480500 1037221314500 1103603478628 1159247351500 1379504348285 1407657498250 1452109840300 1622946292100 1815137300375 1864195065250 1970720497550 2028682865125 2759008696570 2815314996500 3630274600750 3728390130500 3941440995100 4057365730250 4926801243875 5518017393140 6897521741425 7260549201500 8114731460500 9853602487750 13795043482850 19707204975500 27590086965700 34487608707125 68975217414250 137950434828500
- Sum of all divisors σ(n): 407407524503616
- Sum of proper divisors (its aliquot sum) s(n): 269457089675116
- 137950434828500 is an abundant number, because the sum of its proper divisors (269457089675116) is greater than itself. Its abundance is 131506654846616
Bases of 137950434828500
- Binary: 111110101110111000101101010101000100000110101002
- Hexadecimal: 0x7D7716AA20D4
- Base-36: 1CWDJZ4EDW
Squares and roots of 137950434828500
- 137950434828500 squared (1379504348285002) is 19030322469372225824412250000
- 137950434828500 cubed (1379504348285003) is 2625241259576472425898566777942049125000000
-
The
square root of 137950434828500 is 11745230.3012116369 -
The
cube root of 137950434828500 is 51670.3049368543
Scales and comparisons
How big is 137950434828500?- 137,950,434,828,500 seconds is equal to 4,386,397 years, 6 weeks, 1 day, 6 hours, 8 minutes, 20 seconds.
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To count from 1 to 137,950,434,828,500 would take you about ten million, nine hundred sixty-five thousand, nine hundred ninety-two 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 137950434828500 cubic inches would be around 4305.9 feet tall.
Recreational maths with 137950434828500
- 137950434828500 backwards is 005828434059731
- The number of decimal digits it has is: 15
- The sum of 137950434828500's digits is 59
- More coming soon!
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"Number 137950434828500 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 137950434828500 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/137950434828500/
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The information we have on file for 137950434828500 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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