138437143936000
138,437,143,936,000 is an even composite number composed of eight prime numbers multiplied together.
138437143936000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred sixteen divisors.
Prime factorization of 138437143936000:
210 × 53 × 7 × 13 × 17 × 61 × 73 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 17 × 61 × 73 × 157)See below for interesting mathematical facts about the number 138437143936000 from the Numbermatics database.
Names of 138437143936000
- Cardinal: 138437143936000 can be written as One hundred thirty-eight trillion, four hundred thirty-seven billion, one hundred forty-three million, nine hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38437143936 × 1014
Factors of 138437143936000
Divisors of 138437143936000
- Number of divisors d(n): 2816
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 50 52 56 61 64 65 68 70 73 80 85 91 100 104 112 119 122 125 128 130 136 140 146 157 160 170 175 182 200 208 221 224 238 244 250 256 260 272 280 292 305 314 320 325 340 350 364 365 400 416 425 427 442 448 455 476 488 500 511 512 520 544 560 584 595 610 628 640 650 680 700 728 730 785 793 800 832 850 854 875 884 896 910 949 952 976 1000 1022 1024 1037 1040 1088 1099 1105 1120 1168 1190 1220 1241 1256 1280 1300 1360 1400 1456 1460 1525 1547 1570 1586 1600 1625 1664 1700 1708 1750 1768 1792 1820 1825 1898 1904 1952 2000 2041 2044 2074 2080 2125 2135 2176 2198 2210 2240 2275 2336 2380 2440 2482 2512 2555 2560 2600 2669 2720 2800 2912 2920 2975 3050 3094 3140 3172 3200 3250 3328 3400 3416 3500 3536 3584 3640 3650 3796 3808 3904 3925 3965 4000 4082 4088 4148 4160 4250 4270 4352 4396 4420 4453 4480 4550 4672 4745 4760 4880 4964 5024 5110 5120 5185 5200 5338 5440 5495 5525 5551 5600 5824 5840 5950 6100 6188 6205 6280 6344 6400 6500 6643 6656 6800 6832 7000 7072 7168 7259 7280 7300 7592 7616 7625 7735 7808 7850 7930 8000 8164 8176 8296 8320 8500 8540 8687 8704 8792 8840 8906 8960 9100 9125 9344 9490 9520 9577 9760 9928 10048 10205 10220 10370 10400 10675 10676 10880 10990 11050 11102 11200 11375 11461 11648 11680 11900 12200 12376 12410 12560 12688 12775 12800 13000 13286 13312 13345 13481 13600 13664 14000 14144 14287 14518 14560 14600 14875 15184 15232 15250 15470 15616 15700 15860 16000 16133 16328 16352 16592 16640 17000 17080 17374 17408 17584 17680 17812 17920 18200 18250 18683 18688 18980 19040 19154 19520 19625 19825 19856 20096 20410 20440 20740 20800 21350 21352 21760 21980 22100 22204 22265 22400 22750 22922 23296 23360 23725 23800 24400 24752 24820 25120 25376 25550 25600 25925 26000 26572 26690 26962 27200 27328 27475 27625 27755 28000 28288 28574 29036 29120 29200 29750 30368 30464 30500 30940 31025 31171 31232 31400 31720 32000 32266 32656 32704 33184 33215 33280 34000 34160 34697 34748 35168 35360 35624 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16210438400 16286722816 16639079800 16687216000 16932136000 16957024000 17304642992 17457395200 17635304960 17730167000 17897497600 18155691008 18177146000 18234608000 18963992320 19016091200 19071104000 19313217625 19575388000 19776734848 20263048000 20358403520 20798849750 20839552000 21298022144 21630803740 21821744000 22044131200 22310579200 22371872000 22694613760 23266746880 23704990400 23770114000 24720918560 24939136000 25056496640 25193292800 25448004400 25934272000 26622527680 26699545600 27038504675 27091417600 27555164000 27888224000 28368267200 29083433600 29175372800 29631238000 30425745920 30901148200 31088512000 31320620800 31491616000 31810005500 32420876800 32573445632 33278159600 33374432000 33864272000 33914048000 34609285984 34914790400 35270609920 35460334000 36354292000 36469216000 37927984640 38032182400 38626435250 39150776000 39553469696 40526096000 40716807040 41597699500 42596044288 43261607480 43643488000 44088262400 44743744000 45389227520 46533493760 47409980800 47540228000 49441837120 50896008800 51868544000 53245055360 54077009350 54182835200 55110328000 55776448000 56736534400 58166867200 59262476000 60851491840 61802296400 62641241600 62983232000 63620011000 64841753600 65146891264 66556319200 66748864000 67728544000 67828096000 69218571968 70920668000 72708584000 72938432000 75855969280 76064364800 77252870500 78301552000 79106939392 81052192000 81433614080 83195399000 85192088576 86523214960 87286976000 88176524800 89487488000 90778455040 94819961600 95080456000 98883674240 101792017600 106490110720 108154018700 110220656000 111552896000 113473068800 116333734400 118524952000 123604592800 125282483200 125966464000 127240022000 133112638400 133497728000 135192523375 135457088000 138437143936 141841336000 145417168000 145876864000 152128729600 154505741000 156603104000 158213878784 162104384000 162867228160 166390798000 173046429920 174573952000 176353049600 189639923200 190160912000 197767348480 203584035200 212980221440 216308037400 220441312000 226946137600 232667468800 237049904000 247209185600 254480044000 266225276800 270385046750 270914176000 276874287872 283682672000 290834336000 304257459200 309011482000 313206208000 324208768000 325734456320 332781596000 346092859840 379279846400 380321824000 395534696960 407168070400 425960442880 432616074800 440882624000 453892275200 474099808000 494418371200 508960088000 532450553600 540770093500 553748575744 567365344000 581668672000 618022964000 626412416000 665563192000 692185719680 760643648000 791069393920 814336140800 865232149600 881765248000 948199616000 988836742400 1017920176000 1064901107200 1081540187000 1107497151488 1134730688000 1163337344000 1236045928000 1331126384000 1384371439360 1521287296000 1628672281600 1730464299200 1896399232000 1977673484800 2035840352000 2129802214400 2163080374000 2269461376000 2472091856000 2662252768000 2768742878720 3460928598400 3955346969600 4071680704000 4326160748000 4944183712000 5324505536000 5537485757440 6921857196800 8143361408000 8652321496000 9888367424000 10649011072000 13843714393600 17304642992000 19776734848000 27687428787200 34609285984000 69218571968000 138437143936000
- Sum of all divisors σ(n): 466673848962048
- Sum of proper divisors (its aliquot sum) s(n): 328236705026048
- 138437143936000 is an abundant number, because the sum of its proper divisors (328236705026048) is greater than itself. Its abundance is 189799561090048
Bases of 138437143936000
- Binary: 111110111101000011010001100100110111100000000002
- Hexadecimal: 0x7DE868C9BC00
- Base-36: 1D2L595P8G
Squares and roots of 138437143936000
- 138437143936000 squared (1384371439360002) is 19164842821156781572096000000
- 138437143936000 cubed (1384371439360003) is 2653126104143297676518766313209856000000000
-
The
square root of 138437143936000 is 11765931.4946161403 -
The
cube root of 138437143936000 is 51731.0003842797
Scales and comparisons
How big is 138437143936000?- 138,437,143,936,000 seconds is equal to 4,401,872 years, 50 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,437,143,936,000 would take you about eleven million, four thousand, six hundred eighty-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 138437143936000 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138437143936000
- 138437143936000 backwards is 000639341734831
- 138437143936000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138437143936000's digits is 52
- More coming soon!
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"Number 138437143936000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 138437143936000 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/138437143936000/
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The information we have on file for 138437143936000 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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