138471338981250
138,471,338,981,250 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138471338981250 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138471338981250 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138471338981250:
2 × 32 × 55 × 112 × 173 × 41 × 101
(2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 17 × 17 × 17 × 41 × 101)See below for interesting mathematical facts about the number 138471338981250 from the Numbermatics database.
Names of 138471338981250
- Cardinal: 138471338981250 can be written as One hundred thirty-eight trillion, four hundred seventy-one billion, three hundred thirty-eight million, nine hundred eighty-one thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3847133898125 × 1014
Factors of 138471338981250
Divisors of 138471338981250
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 5 6 9 10 11 15 17 18 22 25 30 33 34 41 45 50 51 55 66 75 82 85 90 99 101 102 110 121 123 125 150 153 165 170 187 198 202 205 225 242 246 250 255 275 289 303 306 330 363 369 374 375 410 425 450 451 495 505 510 550 561 578 605 606 615 625 697 726 738 750 765 825 850 867 902 909 935 990 1010 1025 1089 1111 1122 1125 1210 1230 1250 1275 1353 1375 1394 1445 1515 1530 1650 1683 1717 1734 1815 1818 1845 1870 1875 2050 2057 2091 2125 2178 2222 2250 2255 2475 2525 2550 2601 2706 2750 2805 2890 3025 3030 3075 3125 3179 3333 3366 3434 3485 3630 3690 3750 3825 4059 4114 4125 4141 4182 4250 4335 4510 4545 4675 4913 4950 4961 5050 5125 5151 5202 5445 5555 5610 5625 6050 6150 6171 6250 6273 6358 6375 6666 6765 6875 6970 7225 7575 7650 7667 8118 8250 8282 8415 8585 8670 9075 9090 9225 9350 9375 9537 9826 9922 9999 10250 10285 10302 10455 10625 10890 11110 11250 11275 11849 12221 12342 12375 12423 12546 12625 12750 13005 13530 13750 14025 14450 14739 14883 15125 15150 15334 15375 15453 15895 16665 16830 17170 17425 18150 18450 18513 18750 18887 19074 19125 19998 20295 20570 20625 20705 20910 21250 21675 22550 22725 23001 23375 23698 24442 24565 24750 24805 24846 25250 25625 25755 26010 27225 27775 28050 28125 28611 29189 29478 29766 30250 30750 30855 30906 31365 31790 31875 33330 33825 34375 34850 34969 35547 36125 36663 37026 37269 37774 37875 38250 38335 40590 41250 41410 42075 42925 43350 44217 44649 45375 45450 45551 46002 46125 46750 47685 49130 49610 49995 51250 51425 51510 52275 53125 54043 54450 55550 56250 56375 56661 57222 58378 59245 61105 61710 61875 62115 62730 63125 63750 65025 67650 68750 69003 69938 70125 70397 71094 72250 73326 73695 74415 74538 75625 75750 76670 76875 77265 79475 83325 84150 84337 85850 87125 87567 88434 89298 90750 91102 92250 92565 94435 95370 95625 99990 101475 102850 103125 103525 104550 104907 106250 106641 108086 108375 109989 112750 113322 113625 115005 116875 118490 122210 122825 123750 124025 124230 126250 128125 128775 130050 130339 136125 136653 138006 138875 140250 140794 143055 145945 147390 148830 151250 153750 154275 154530 156825 158950 159375 162129 166650 168674 169125 169983 174250 174845 175134 177735 180625 183315 185130 186345 188870 189375 191250 191675 201433 202950 206250 207050 207757 209814 210375 211191 213282 214625 216750 219978 221085 223245 226875 227250 227755 230010 230625 233750 238425 245650 248050 249975 253011 256250 257125 257550 260678 261375 262701 270215 272250 273306 277750 281875 283305 286110 291890 296225 305525 308550 309375 310575 313650 314721 315625 318750 321079 324258 325125 338250 339966 345015 349690 350625 351985 355470 361250 366630 368475 372075 372690 378125 378750 383350 384375 386325 391017 397375 402866 409959 415514 416625 420750 421685 422382 429250 435625 437835 442170 446490 453750 455510 461250 462825 472175 476850 478125 486387 496213 499950 501061 506022 507375 514250 517625 522750 524535 525402 533205 540430 541875 549945 563750 566610 568125 575025 584375 592450 594473 604299 611050 614125 618750 620125 621150 623271 629442 631250 633573 642158 643875 650250 651695 680625 683265 690030 694375 701250 703970 715275 729725 736950 744150 756250 759033 768750 771375 772650 774367 782034 784125 794750 810645 819918 833250 843370 845625 849915 871250 874225 875670 888675 903125 916575 925650 931725 944350 946875 956250 958375 963237 972774 992426 1002122 1007165 1014750 1035250 1038785 1049070 1051875 1055955 1066410 1073125 1083750 1099890 1105425 1116225 1134375 1136250 1138775 1150050 1153125 1168750 1173051 1188946 1192125 1196749 1208598 1228250 1240250 1246542 1249875 1265055 1267146 1285625 1287750 1303390 1306875 1313505 1351075 1361250 1366530 1388750 1409375 1416525 1430550 1433729 1459450 1481125 1488639 1503183 1518066 1527625 1542750 1548734 1552875 1568250 1573605 1605395 1621290 1625625 1691250 1699830 1725075 1748450 1753125 1759925 1777350 1783419 1806250 1812897 1833150 1842375 1860375 1863450 1869813 1893750 1916750 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731201790 733156875 743091250 747968125 755373750 766623330 779088750 790659375 791966250 794670525 814618750 818751450 820940625 830911125 854081250 868839774 871162875 882967250 896080625 897561750 900626595 915512985 930399375 939489375 948791250 967958750 983503125 987317925 997093350 1003371875 1013306250 1017236650 1062393750 1064754625 1075296750 1080751914 1096802685 1114636875 1116479250 1118960315 1127387250 1133060625 1168633125 1184781510 1204046250 1218669650 1221928125 1228127175 1258956250 1277705550 1281121875 1298481250 1303259661 1319943750 1324450875 1337564250 1342752378 1346342625 1364585750 1384851875 1448066290 1451938125 1466313750 1495936250 1501044325 1519959375 1525854975 1550665625 1565815625 1581318750 1589341050 1612945125 1641881250 1645529875 1661822250 1742325750 1792161250 1801253190 1806069375 1828004475 1831025970 1857728125 1860798750 1878978750 1888434375 1916558325 1947721875 1967006250 1974635850 1979915625 2006743750 2014128567 2046878625 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7240331450 7259690625 7331568750 7385138079 7479681250 7505221625 7629274875 7946705250 8064725625 8227649375 8309111250 8711628750 8960806250 9006265950 9030346875 9140022375 9155129850 9303993750 9394893750 9582791625 9873179250 10070642835 10234393125 10647546250 10860497175 10968026850 11037090625 11146368750 11189603150 11219521875 11330606250 11686331250 12281271750 12308563465 12463666875 12715458125 13032596610 13244508750 13441209375 13463426250 13509398925 13848518750 13955990625 14092340625 14519381250 14770276158 14809768875 15010443250 15233370625 15258549750 15971319375 16129451250 16455298750 16719553125 16784404725 17057321875 18060693750 18100828625 18280044750 19165583250 19866763125 20141285670 20468786250 20772778125 21720994350 21779071875 22074181250 22155414237 22439043750 22515664875 22887824625 24617126930 24682948125 24927333750 25430916250 26618865625 26882418750 27018797850 27420067125 27911981250 27974007875 28184681250 29619537750 30466741250 30703179375 31942638750 32581491525 33111271875 33439106250 33568809450 33658565625 34114643750 36201657250 36925690395 37526108125 38146374375 39733526250 40323628125 41138246875 41545556250 43558143750 44310828474 45031329750 45700111875 45775649250 47913958125 49365896250 50353214175 51171965625 53237731250 54302485875 54840134250 55948015750 61406358750 61542817325 62318334375 63577290625 65162983050 66222543750 67317131250 67546994625 73851380790 74048844375 75052216250 76166853125 76292748750 79856596875 80647256250 82276493750 83922023625 90504143125 91400223750 95827916250 99333815625 100706428350 102343931250 108604971750 110777071185 112578324375 114439123125 123085634650 123414740625 124636668750 127154581250 135093989250 137100335625 139870039375 148097688750 152333706250 153515896875 159713193750 162907457625 167844047250 181008286250 184628451975 187630540625 190731871875 198667631250 221554142370 225156648750 228500559375 228878246250 239569790625 246829481250 251766070875 271512429375 274200671250 279740078750 307031793750 307714086625 325814915250 337734973125 369256903950 370244221875 375261081250 381463743750 419610118125 452520715625 457001118750 479139581250 503532141750 543024858750 553885355925 562891621875 572195615625 615428173250 675469946250 685501678125 699350196875 740488443750 814537288125 839220236250 905041431250 923142259875 1107770711850 1125783243750 1144391231250 1258830354375 1357562146875 1371003356250 1398700393750 1538570433125 1629074576250 1688674865625 1846284519750 2098050590625 2517660708750 2715124293750 2769426779625 3077140866250 3377349731250 4072686440625 4196101181250 4615711299375 5538853559250 6294151771875 7692852165625 8145372881250 9231422598750 12588303543750 13847133898125 15385704331250 23078556496875 27694267796250 46157112993750 69235669490625 138471338981250
- Sum of all divisors σ(n): 453073281766560
- Sum of proper divisors (its aliquot sum) s(n): 314601942785310
- 138471338981250 is an abundant number, because the sum of its proper divisors (314601942785310) is greater than itself. Its abundance is 176130603804060
Bases of 138471338981250
- Binary: 111110111110000010111101111100010110111100000102
- Hexadecimal: 0x7DF05EF8B782
- Base-36: 1D30US070I
Squares and roots of 138471338981250
- 138471338981250 squared (1384713389812502) is 19174311719260245787851562500
- 138471338981250 cubed (1384713389812503) is 2655092617809839978976786184094970703125000
-
The
square root of 138471338981250 is 11767384.5429326393 -
The
cube root of 138471338981250 is 51735.2593526967
Scales and comparisons
How big is 138471338981250?- 138,471,338,981,250 seconds is equal to 4,402,960 years, 13 weeks, 3 days, 12 hours, 7 minutes, 30 seconds.
-
To count from 1 to 138,471,338,981,250 would take you about eleven million, seven thousand, four hundred 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 138471338981250 cubic inches would be around 4311.3 feet tall.
Recreational maths with 138471338981250
- 138471338981250 backwards is 052189833174831
- The number of decimal digits it has is: 15
- The sum of 138471338981250's digits is 63
- More coming soon!
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"Number 138471338981250 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138471338981250 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138471338981250/
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The information we have on file for 138471338981250 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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