138843187784450048000
138,843,187,784,450,048,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138843187784450048000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2400 divisors.
138843187784450048000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138843187784450048000:
224 × 53 × 31 × 613 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 31 × 61 × 61 × 61 × 97 × 97)See below for interesting mathematical facts about the number 138843187784450048000 from the Numbermatics database.
Names of 138843187784450048000
- Cardinal: 138843187784450048000 can be written as One hundred thirty-eight quintillion, eight hundred forty-three quadrillion, one hundred eighty-seven trillion, seven hundred eighty-four billion, four hundred fifty million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.38843187784450048 × 1020
Factors of 138843187784450048000
Divisors of 138843187784450048000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 61 62 64 80 97 100 122 124 125 128 155 160 194 200 244 248 250 256 305 310 320 388 400 485 488 496 500 512 610 620 640 775 776 800 970 976 992 1000 1024 1220 1240 1280 1525 1550 1552 1600 1891 1940 1952 1984 2000 2048 2425 2440 2480 2560 3007 3050 3100 3104 3200 3721 3782 3875 3880 3904 3968 4000 4096 4850 4880 4960 5120 5917 6014 6100 6200 6208 6400 7442 7564 7625 7750 7760 7808 7936 8000 8192 9409 9455 9700 9760 9920 10240 11834 12028 12125 12200 12400 12416 12800 14884 15035 15128 15250 15500 15520 15616 15872 16000 16384 18605 18818 18910 19400 19520 19840 20480 23668 24056 24250 24400 24800 24832 25600 29585 29768 30070 30256 30500 31000 31040 31232 31744 32000 32768 37210 37636 37820 38800 39040 39680 40960 47045 47275 47336 48112 48500 48800 49600 49664 51200 59170 59536 60140 60512 61000 62000 62080 62464 63488 64000 65536 74420 75175 75272 75640 77600 78080 79360 81920 93025 94090 94550 94672 96224 97000 97600 99200 99328 102400 115351 118340 119072 120280 121024 122000 124000 124160 124928 126976 128000 131072 147925 148840 150350 150544 151280 155200 156160 158720 163840 183427 186050 188180 189100 189344 192448 194000 195200 198400 198656 204800 226981 230702 235225 236375 236680 238144 240560 242048 244000 248000 248320 249856 253952 256000 262144 291679 295850 297680 300700 301088 302560 310400 312320 317440 327680 360937 366854 372100 375875 376360 378200 378688 384896 388000 390400 396800 397312 409600 453962 461404 465125 470450 472750 473360 476288 481120 484096 488000 496000 496640 499712 507904 512000 524288 573949 576755 583358 591700 595360 601400 602176 605120 620800 624640 634880 655360 721874 733708 739625 744200 751750 752720 756400 757376 769792 776000 780800 793600 794624 819200 907924 917135 922808 930250 940900 945500 946720 952576 962240 968192 976000 992000 993280 999424 1015808 1024000 1048576 1134905 1147898 1153510 1166716 1176125 1183400 1190720 1202800 1204352 1210240 1241600 1249280 1269760 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889108528332800 894608168714240 917789448601600 922276462592000 923466496737280 932835177267200 938605291765760 1059289457584000 1084712404566016 1093460085248000 1111385660416000 1118260210892800 1119703127293952 1138058916265984 1147236810752000 1154333120921600 1166043971584000 1173256614707200 1203658293248000 1355890505707520 1397825263616000 1399628909117440 1422573645332480 1431373069942784 1442916401152000 1466570768384000 1468463117762560 1475642340147200 1492536283627520 1694863132134400 1749536136396800 1778217056665600 1789216337428480 1835578897203200 1844552925184000 1846932993474560 1865670354534400 2118578915168000 2169424809132032 2186920170496000 2222771320832000 2236520421785600 2239406254587904 2276117832531968 2294473621504000 2308666241843200 2332087943168000 2346513229414400 2711781011415040 2795650527232000 2799257818234880 2845147290664960 2862746139885568 2885832802304000 2933141536768000 2936926235525120 2951284680294400 3389726264268800 3499072272793600 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17892163374284800 17915250036703232 18208942660255744 18355788972032000 18656703545344000 21694248091320320 22365204217856000 22394062545879040 22761178325319680 23086662418432000 23465132294144000 27117810114150400 27992578182348800 28451472906649600 28627461398855680 33897262642688000 34710796946112512 34990722727936000 35564341133312000 35784326748569600 35830500073406464 36711577944064000 37313407090688000 43388496182640640 44730408435712000 44788125091758080 45522356650639360 46173324836864000 54235620228300800 55985156364697600 56902945813299200 57254922797711360 67794525285376000 69421593892225024 69981445455872000 71128682266624000 71568653497139200 73423155888128000 86776992365281280 89460816871424000 89576250183516160 91044713301278720 108471240456601600 111970312729395200 113805891626598400 135589050570752000 138843187784450048 139962890911744000 142257364533248000 143137306994278400 173553984730562560 178921633742848000 179152500367032320 216942480913203200 223940625458790400 227611783253196800 271178101141504000 277686375568900096 279925781823488000 284514729066496000 286274613988556800 347107969461125120 357843267485696000 433884961826406400 447881250917580800 455223566506393600 542356202283008000 555372751137800192 559851563646976000 569029458132992000 694215938922250240 715686534971392000 867769923652812800 895762501835161600 1084712404566016000 1110745502275600384 1119703127293952000 1138058916265984000 1388431877844500480 1431373069942784000 1735539847305625600 2169424809132032000 2239406254587904000 2276117832531968000 2776863755689000960 3471079694611251200 4338849618264064000 4478812509175808000 5553727511378001920 6942159389222502400 8677699236528128000 13884318778445004800 17355398473056256000 27768637556890009600 34710796946112512000 69421593892225024000 138843187784450048000
- Sum of all divisors σ(n): 367481946015999300096
- Sum of proper divisors (its aliquot sum) s(n): 228638758231549252096
- 138843187784450048000 is an abundant number, because the sum of its proper divisors (228638758231549252096) is greater than itself. Its abundance is 89795570447099204096
Bases of 138843187784450048000
- Binary: 11110000110110101100001011110101010110011110000000000000000000000002
- Hexadecimal: 0x786D617AACF000000
- Base-36: TAV5MESDDO83K
Squares and roots of 138843187784450048000
- 138843187784450048000 squared (1388431877844500480002) is 19277430794148059028607829807202304000000
- 138843187784450048000 cubed (1388431877844500480003) is 2676539943753638977182158287683808906538526118510592000000000
-
The
square root of 138843187784450048000 is 11783173926.5976231283 -
The
cube root of 138843187784450048000 is 5178152.7651144769
Scales and comparisons
How big is 138843187784450048000?- 138,843,187,784,450,048,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,843,187,784,450,048,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138843187784450048000 cubic inches would be around 431512.7 feet tall.
Recreational maths with 138843187784450048000
- 138843187784450048000 backwards is 000840054487781348831
- The number of decimal digits it has is: 21
- The sum of 138843187784450048000's digits is 83
- More coming soon!
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"Number 138843187784450048000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138843187784450048000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138843187784450048000/
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Numbermatics. 2024. "Number 138843187784450048000 - Facts about the integer". https://numbermatics.com/n/138843187784450048000/
The information we have on file for 138843187784450048000 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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