138542249375769600
138,542,249,375,769,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 138542249375769600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1485 divisors.
138542249375769600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred eighty-five divisors.
Prime factorization of 138542249375769600:
210 × 34 × 52 × 532 × 48772
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 53 × 53 × 4877 × 4877)See below for interesting mathematical facts about the number 138542249375769600 from the Numbermatics database.
Names of 138542249375769600
- Cardinal: 138542249375769600 can be written as One hundred thirty-eight quadrillion, five hundred forty-two trillion, two hundred forty-nine billion, three hundred seventy-five million, seven hundred sixty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.385422493757696 × 1017
Factors of 138542249375769600
Divisors of 138542249375769600
- Number of divisors d(n): 1485
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 53 54 60 64 72 75 80 81 90 96 100 106 108 120 128 135 144 150 159 160 162 180 192 200 212 216 225 240 256 265 270 288 300 318 320 324 360 384 400 405 424 432 450 477 480 512 530 540 576 600 636 640 648 675 720 768 795 800 810 848 864 900 954 960 1024 1060 1080 1152 1200 1272 1280 1296 1325 1350 1431 1440 1536 1590 1600 1620 1696 1728 1800 1908 1920 2025 2120 2160 2304 2385 2400 2544 2560 2592 2650 2700 2809 2862 2880 3072 3180 3200 3240 3392 3456 3600 3816 3840 3975 4050 4240 4293 4320 4608 4770 4800 4877 5088 5120 5184 5300 5400 5618 5724 5760 6360 6400 6480 6784 6912 7155 7200 7632 7680 7950 8100 8427 8480 8586 8640 9216 9540 9600 9754 10176 10368 10600 10800 11236 11448 11520 11925 12720 12800 12960 13568 13824 14045 14310 14400 14631 15264 15360 15900 16200 16854 16960 17172 17280 19080 19200 19508 20352 20736 21200 21465 21600 22472 22896 23040 23850 24385 25281 25440 25600 25920 27136 27648 28090 28620 28800 29262 30528 31800 32400 33708 33920 34344 34560 35775 38160 38400 39016 40704 41472 42135 42400 42930 43200 43893 44944 45792 46080 47700 48770 50562 50880 51840 54272 56180 57240 57600 58524 61056 63600 64800 67416 67840 68688 69120 70225 71550 73155 75843 76320 76800 78032 81408 82944 84270 84800 85860 86400 87786 89888 91584 95400 97540 101124 101760 103680 107325 112360 114480 115200 117048 121925 122112 126405 127200 129600 131679 134832 135680 137376 138240 140450 143100 146310 151686 152640 156064 162816 168540 169600 171720 172800 175572 179776 183168 190800 195080 202248 203520 207360 210675 214650 219465 224720 227529 228960 230400 234096 243850 244224 252810 254400 258481 259200 263358 269664 271360 274752 280900 286200 292620 303372 305280 312128 337080 339200 343440 345600 351144 359552 365775 366336 379215 381600 390160 395037 404496 407040 414720 421350 429300 438930 449440 455058 457920 468192 487700 488448 505620 508800 516962 518400 526716 539328 549504 561800 572400 585240 606744 610560 624256 632025 658395 674160 678400 686880 691200 702288 719104 731550 732672 758430 763200 775443 780320 790074 808992 814080 842700 858600 877860 898880 910116 915840 936384 975400 1011240 1017600 1033924 1036800 1053432 1078656 1097325 1099008 1123600 1137645 1144800 1170480 1213488 1221120 1248512 1264050 1292405 1316790 1348320 1356800 1373760 1404576 1438208 1463100 1465344 1516860 1526400 1550886 1560640 1580148 1617984 1685400 1717200 1755720 1797760 1820232 1831680 1872768 1896075 1950800 1975185 2022480 2035200 2067848 2073600 2106864 2157312 2194650 2198016 2247200 2275290 2289600 2326329 2340960 2426976 2442240 2497024 2528100 2584810 2633580 2696640 2747520 2809152 2876416 2926200 3033720 3052800 3101772 3121280 3160296 3235968 3291975 3370800 3434400 3511440 3595520 3640464 3663360 3745536 3792150 3877215 3901600 3950370 4044960 4070400 4135696 4213728 4314624 4389300 4396032 4494400 4550580 4579200 4652658 4681920 4853952 4994048 5056200 5169620 5267160 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403395787840 408438235188 411007029120 443863573200 453820261320 456674476800 473454478080 484074945408 493208434944 504244734800 510547793985 513758786400 526060531200 534499418888 535986201600 544584313584 548009372160 567275326650 568145373696 591818097600 601311846249 605093681760 608899302400 616510543680 631272637440 645433260544 657611246592 668124273610 680730391980 685011715200 710181717120 726112418112 756367102200 770638179600 789090796800 801749128332 806791575680 816876470376 822014058240 850912989975 887727146400 907640522640 913348953600 946908956160 968149890816 986416869888 1002186410415 1008489469600 1021095587970 1027517572800 1052121062400 1068998837776 1089168627168 1096018744320 1134550653300 1136290747392 1183636195200 1202623692498 1210187363520 1233021087360 1290866521088 1336248547220 1361460783960 1370023430400 1420363434240 1452224836224 1512734204400 1541276359200 1578181593600 1603498256664 1613583151360 1633752940752 1644028116480 1670310684025 1701825979950 1775454292800 1803935538747 1815281045280 1826697907200 1893817912320 1936299781632 1972833739776 2004372820830 2016978939200 2042191175940 2055035145600 2137997675552 2178337254336 2269101306600 2367272390400 2405247384996 2420374727040 2466042174720 2552738969925 2672497094440 2722921567920 2740046860800 2840726868480 2904449672448 3006559231245 3025468408800 3082552718400 3156363187200 3206996513328 3227166302720 3267505881504 3288056232960 3340621368050 3403651959900 3550908585600 3607871077494 3630562090560 3872599563264 4008745641660 4033957878400 4084382351880 4110070291200 4275995351104 4356674508672 4538202613200 4734544780800 4810494769992 4840749454080 4932084349440 5010932052075 5105477939850 5344994188880 5411806616241 5445843135840 5480093721600 5681453736960 5808899344896 6013118462490 6050936817600 6165105436800 6413993026656 6454332605440 6535011763008 6681242736100 6807303919800 7101817171200 7215742154988 7261124181120 8017491283320 8067915756800 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45098388468675 48104947699920 48407494540800 49320843494400 51311944213248 52280094104064 53449941888800 54118066162410 54458431358400 57725937239904 58088993448960 60131184624900 64139930266560 65350117630080 68415925617664 72157421549880 72611241811200 76967916319872 80174912833200 81687647037600 85519907022080 86588905859856 87133490173440 90196776937350 96209895399840 96814989081600 102623888426496 104560188208128 106899883777600 108236132324820 108916862716800 115451874479808 120262369249800 128279860533120 130700235260160 135295165406025 144314843099760 145222483622400 153935832639744 160349825666400 163375294075200 171039814044160 173177811719712 174266980346880 180393553874700 192419790799680 205247776852992 213799767555200 216472264649640 217833725433600 230903748959616 240524738499600 256559721066240 261400470520320 270590330812050 288629686199520 290444967244800 307871665279488 320699651332800 326750588150400 342079628088320 346355623439424 360787107749400 384839581599360 427599535110400 432944529299280 435667450867200 461807497919232 481049476999200 513119442132480 522800941040640 541180661624100 577259372399040 615743330558976 641399302665600 653501176300800 692711246878848 721574215498800 769679163198720 855199070220800 865889058598560 871334901734400 923614995838464 962098953998400 1026238884264960 1082361323248200 1154518744798080 1282798605331200 1307002352601600 1385422493757696 1443148430997600 1539358326397440 1710398140441600 1731778117197120 1847229991676928 1924197907996800 2164722646496400 2309037489596160 2565597210662400 2614004705203200 2770844987515392 2886296861995200 3078716652794880 3463556234394240 3848395815993600 4329445292992800 4618074979192320 5131194421324800 5541689975030784 5772593723990400 6927112468788480 7696791631987200 8658890585985600 9236149958384640 11545187447980800 13854224937576960 15393583263974400 17317781171971200 23090374895961600 27708449875153920 34635562343942400 46180749791923200 69271124687884800 138542249375769600
- Sum of all divisors σ(n): 522974874839440177
- Sum of proper divisors (its aliquot sum) s(n): 384432625463670577
- 138542249375769600 is an abundant number, because the sum of its proper divisors (384432625463670577) is greater than itself. Its abundance is 245890376087900977
Bases of 138542249375769600
- Binary: 1111011000011001101110001000110000110110100100100000000002
- Hexadecimal: 0x1EC3371186D2400
- Base-36: 11W54MQ7GG00
Squares and roots of 138542249375769600
- 138542249375769600 squared (1385422493757696002) is 19193954862097932120863592284160000
- 138542249375769600 cubed (1385422493757696003) is 2659173681012037115222377011150637203021889536000000
-
138542249375769600 is a
perfect square number . Itssquare root is 372212640 -
The
cube root of 138542249375769600 is 517440.8895752999
Scales and comparisons
How big is 138542249375769600?- 138,542,249,375,769,600 seconds is equal to 4,405,214,990 years, 43 weeks, 3 days.
-
To count from 1 to 138,542,249,375,769,600 would take you about thirteen billion, two hundred fifteen million, six hundred forty-four thousand, nine hundred seventy-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 138542249375769600 cubic inches would be around 43120.1 feet tall.
Recreational maths with 138542249375769600
- 138542249375769600 backwards is 006967573942245831
- 138542249375769600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138542249375769600's digits is 81
- More coming soon!
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"Number 138542249375769600 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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Numbermatics. (2024). Number 138542249375769600 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/138542249375769600/
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The information we have on file for 138542249375769600 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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