137142289974375
137,142,289,974,375 is an odd composite number composed of six prime numbers multiplied together.
What does the number 137142289974375 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
137142289974375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 137142289974375:
33 × 54 × 72 × 292 × 53 × 612
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 29 × 29 × 53 × 61 × 61)See below for interesting mathematical facts about the number 137142289974375 from the Numbermatics database.
Names of 137142289974375
- Cardinal: 137142289974375 can be written as One hundred thirty-seven trillion, one hundred forty-two billion, two hundred eighty-nine million, nine hundred seventy-four thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.37142289974375 × 1014
Factors of 137142289974375
Divisors of 137142289974375
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 29 35 45 49 53 61 63 75 87 105 125 135 145 147 159 175 183 189 203 225 245 261 265 305 315 371 375 427 435 441 477 525 549 609 625 675 725 735 783 795 841 875 915 945 1015 1113 1125 1225 1281 1305 1323 1325 1421 1431 1525 1537 1575 1647 1769 1827 1855 1875 2135 2175 2205 2385 2523 2597 2625 2745 2989 3045 3233 3339 3375 3625 3675 3721 3843 3915 3975 4205 4263 4375 4575 4611 4725 5075 5307 5481 5565 5625 5887 6125 6405 6525 6615 6625 7105 7155 7569 7625 7685 7791 7875 8235 8845 8967 9135 9275 9699 10017 10675 10759 10875 11025 11163 11529 11925 12383 12615 12789 12985 13125 13725 13833 14945 15225 15921 16165 16695 16875 17661 18125 18375 18605 19215 19575 19875 21025 21315 22631 22707 22875 23055 23373 23625 25375 26047 26535 26901 27405 27825 29097 29435 30625 32025 32277 32625 33075 33125 33489 35525 35775 37149 37845 38125 38367 38425 38955 39375 41175 41209 41499 44225 44573 44835 45675 46375 47763 48495 50085 51301 52983 53375 53795 54375 55125 55815 57645 59625 61915 63075 63945 64925 67893 68625 69165 70119 74725 75313 76125 78141 79605 80703 80825 83475 86681 87291 88305 91875 93025 93757 96075 96831 97875 99375 100467 105125 106575 107909 111447 113155 113535 114375 115275 116865 118125 123627 126875 130235 132675 133719 134505 137025 139125 145485 147175 153903 158417 158949 160125 161385 163125 165375 167445 177625 178875 182329 185745 189225 191835 192125 194775 197213 203679 205875 206045 207495 221125 222865 224175 225939 228375 231875 234423 238815 242475 250425 256505 260043 264915 266875 268975 275625 279075 281271 288225 290493 298125 309575 312011 315375 319725 323727 324625 334341 339465 343125 345825 350595 359107 370881 373625 376565 380625 390705 398025 401157 403515 404125 417375 433405 436455 441525 461709 465125 468785 475251 480375 484155 489375 502335 525625 532875 539545 546987 557235 565775 567675 576375 584325 591639 611037 618135 651175 656299 663375 668595 672525 677817 685125 695625 703269 727425 735875 755363 769515 780129 792085 794745 800625 806925 826875 837225 843813 888125 894375 911645 928725 936033 946125 959175 960625 971181 973875 986065 1018395 1029375 1030225 1037475 1077321 1105625 1112643 1114325 1120875 1129695 1141875 1172115 1194075 1203471 1212375 1252125 1282525 1300215 1324575 1344875 1380491 1385127 1395375 1406355 1425753 1441125 1452465 1547875 1560055 1576875 1598625 1618635 1623125 1640961 1671705 1697325 1729125 1752975 1774917 1795535 1854405 1868125 1882825 1953525 1968897 1990125 2005785 2017575 2020625 2033451 2086875 2167025 2182275 2184077 2207625 2266089 2308545 2325625 2340387 2343925 2376255 2401875 2420775 2511675 2513749 2531439 2664375 2697725 2718953 2734935 2786175 2808099 2828875 2838375 2881875 2913543 2921625 2958195 3055185 3090675 3129361 3231963 3255875 3281495 3316875 3342975 3362625 3389085 3425625 3516345 3637125 3679375 3776815 3847575 3900645 3960425 3973725 4034625 4141473 4186125 4219065 4277259 4558225 4594093 4643625 4680165 4730625 4795875 4855905 4869375 4922883 4930325 5091975 5151125 5187375 5287541 5324751 5386605 5563215 5571625 5604375 5648475 5719177 5860575 5906691 5970375 6017355 6061875 6260625 6412625 6501075 6552231 6622875 6724375 6798267 6902455 6925635 6976875 7031775 7128765 7205625 7262325 7541247 7739375 7800275 7993125 8093175 8156859 8204805 8358525 8424297 8486625 8645625 8764875 8874585 8977675 9272025 9388083 9414125 9663437 9695889 9767625 9844485 9950625 10028925 10087875 10167255 10835125 10911375 10920385 11038125 11330445 11542725 11701935 11719625 11881275 12103875 12424419 12558375 12568745 12657195 13488625 13594765 13674675 13782279 13930875 14040495 14144375 14191875 14567715 14608125 14790975 15275925 15453375 15646805 15862623 16159815 16279375 16407475 16714875 16813125 16945425 17157531 17581725 17720073 18185625 18884075 19032671 19237875 19503225 19656693 19802125 19868625 20173125 20394801 20707365 20930625 21095325 21386295 21905527 22623741 22791125 22970465 23218125 23400825 23979375 24279525 24470577 24614415 24651625 25459875 25755625 25936875 26437705 26623755 26933025 27816075 27858125 28164249 28242375 28595885 28990311 29302875 29533455 29851875 30086775 32063125 32505375 32761155 33114375 33991335 34512275 34628175 35158875 35643825 36311625 37273257 37706235 39001375 40034239 40465875 40784295 41024025 41346837 41792625 42121485 42433125 43824375 44372925 44888375 46360125 46940415 47070625 47587869 48317185 48479445 48838125 49222425 50144625 50439375 50836275 51472593 54175625 54556875 54601925 56652225 57098013 57713625 58509675 58598125 58970079 59406375 60519375 62122095 62791875 62843725 63285975 65716581 67443125 67871223 67973825 68373375 68911395 69654375 70202475 72838575 73411731 73954875 76379625 77266875 78234025 79313115 80799075 82037375 83574375 84492747 84727125 85787655 86970933 87908625 88600365 94420375 95163355 96189375 97516125 98283465 99010625 99343125 101974005 103536825 105476625 106931475 109527635 113118705 113955625 114852325 117004125 120102717 121397625 122352885 123072075 123258125 124040511 127299375 132188525 133118775 133228697 134665125 139080375 140821245 141211875 142763607 142979425 144951555 146514375 147667275 150433875 153338689 154417779 162526875 163805775 165856133 169956675 171294039 172561375 173140875 175794375 178219125 181558125 186366285 188531175 195006875 197149743 200171195 202329375 203921475 205120125 206734185 208963125 210607425 221864625 224441875 231800625 234702075 237939345 241585925 242397225 246112125 250723125 254181375 257362965 260912799 273009625 280239673 283261125 285490065 288568125 292548375 294850395 297031875 310610475 314218625 316429875 328582905 339356115 339869125 341866875 344556975 351012375 360308151 364192875 367058655 369774375 381898125 391170125 396565575 399686091 403995375 410186875 422463735 423635625 428938275 434854665 439543125 443001825 460016067 472101875 475816775 487580625 491417325 497568399 509870025 513882117 517684125 527383125 534657375 547638175 565593525 574261625 585020625 591449229 600513585 606988125 611764425 615360375 620202555 660942625 665593875 666143485 673325625 695401875 704106225 713818035 714897125 724757775 738336375 752169375 766693445 772088895 819028875 829280665 840719019 849783375 856470195 862806875 865704375 891095625 931831425 942655875 985748715 1000855975 1019607375 1025600625 1033670925 1053037125 1080924453 1109323125 1160992931 1173510375 1189696725 1199058273 1207929625 1211986125 1230560625 1270906875 1286814825 1304563995 1365048125 1380048201 1401198365 1416305625 1427450325 1462741875 1474251975 1492705197 1553052375 1571093125 1582149375 1642914525 1696780575 1699345625 1722784875 1755061875 1801540755 1820964375 1835293275 1955850625 1982827875 1998430455 2019976875 2112318675 2144691375 2174273325 2215009125 2300080335 2379083875 2457086625 2487841995 2522157057 2549350125 2569410585 2588420625 2673286875 2738190875 2827967625 2871308125 2957246145 3002567925 3058822125 3076801875 3101012775 3304713125 3327969375 3330717425 3482978793 3520531125 3569090175 3574485625 3597174819 3623788875 3691681875 3833467225 3860444475 4095144375 4140144603 4146403325 4203595095 4248916875 4282350975 4478115591 4659157125 4713279375 4928743575 5004279875 5098036875 5168354625 5265185625 5404622265 5804964655 5867551875 5948483625 5995291365 6039648125 6059930625 6434074125 6522819975 6900241005 7005991825 7137251625 7371259875 7463525985 7566471171 7765261875 8126950517 8214572625 8483902875 8613924375 9007703775 9176466375 9914139375 9992152275 10448936379 10561593375 10723456875 10871366625 11075045625 11500401675 11895419375 12285433125 12439209975 12610785285 12746750625 12847052925 13690954375 14139838125 14786230725 15012839625 15294110625 15505063875 16653587125 17414893965 17602655625 17845450875 17985874095 18118944375 19167336125 19302222375 20700723015 20732016625 21017975475 21411754875 22390577955 23295785625 24380851551 24643717875 25021399375 25841773125 27023111325 29024823275 29742418125 29976456825 31346809137 32170370625 32614099875 34501205025 35029959125 35686258125 36856299375 37317629925 37832355855 40634752585 41072863125 42419514375 45038518875 45882331875 49960761375 52244681895 52807966875 54356833125 57502008375 62196049875 63053926425 64235264625 73142554653 73931153625 75064198125 77525319375 83267935625 87074469825 89227254375 89929370475 95836680625 96511111875 103503615075 103660083125 105089877375 107058774375 111952889775 121904257755 123218589375 135115556625 145124116375 149882284125 156734045685 163070499375 172506025125 175149795625 186588149625 189161779275 203173762925 219427663959 225192594375 249803806875 261223409475 287510041875 310980249375 315269632125 321176323125 365712773265 369655768125 435372349125 449646852375 517518075375 525449386875 559764448875 609521288775 675577783125 725620581875 749411420625 783670228425 862530125625 932940748125 945808896375 1015868814625 1097138319795 1306117047375 1576348160625 1828563866325 2176861745625 2248234261875 2587590376875 2798822244375 3047606443875 3918351142125 4729044481875 5079344073125 5485691598975 6530585236875 9142819331625 15238032219375 19591755710625 27428457994875 45714096658125 137142289974375
- Sum of all divisors σ(n): 316835719302960
- Sum of proper divisors (its aliquot sum) s(n): 179693429328585
- 137142289974375 is an abundant number, because the sum of its proper divisors (179693429328585) is greater than itself. Its abundance is 42551139354210
Bases of 137142289974375
- Binary: 111110010111010111011010111101001000100011001112
- Hexadecimal: 0x7CBAED7A4467
- Base-36: 1CM2AQJI3R
Squares and roots of 137142289974375
- 137142289974375 squared (1371422899743752) is 18808007699415557638156640625
- 137142289974375 cubed (1371422899743753) is 2579373245753526038826269409541767333984375
-
The
square root of 137142289974375 is 11710776.6597427261 -
The
cube root of 137142289974375 is 51569.2084854427
Scales and comparisons
How big is 137142289974375?- 137,142,289,974,375 seconds is equal to 4,360,700 years, 31 weeks, 5 days, 20 hours, 26 minutes, 15 seconds.
-
To count from 1 to 137,142,289,974,375 would take you about ten million, nine hundred one thousand, seven hundred fifty-one 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 137142289974375 cubic inches would be around 4297.4 feet tall.
Recreational maths with 137142289974375
- 137142289974375 backwards is 573479982241731
- The number of decimal digits it has is: 15
- The sum of 137142289974375's digits is 72
- More coming soon!
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The information we have on file for 137142289974375 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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