138913549838336000
138,913,549,838,336,000 is an even composite number composed of six prime numbers multiplied together.
138913549838336000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 138913549838336000:
214 × 53 × 72 × 13 × 172 × 6072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 17 × 17 × 607 × 607)See below for interesting mathematical facts about the number 138913549838336000 from the Numbermatics database.
Names of 138913549838336000
- Cardinal: 138913549838336000 can be written as One hundred thirty-eight quadrillion, nine hundred thirteen trillion, five hundred forty-nine billion, eight hundred thirty-eight million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38913549838336 × 1017
Factors of 138913549838336000
Divisors of 138913549838336000
- Number of divisors d(n): 3240
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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 49 50 52 56 64 65 68 70 80 85 91 98 100 104 112 119 125 128 130 136 140 160 170 175 182 196 200 208 221 224 238 245 250 256 260 272 280 289 320 325 340 350 364 392 400 416 425 442 448 455 476 490 500 512 520 544 560 578 595 607 637 640 650 680 700 728 784 800 832 833 850 875 884 896 910 952 980 1000 1024 1040 1088 1105 1120 1156 1190 1214 1225 1274 1280 1300 1360 1400 1445 1456 1547 1568 1600 1625 1664 1666 1700 1750 1768 1792 1820 1904 1960 2000 2023 2048 2080 2125 2176 2210 2240 2275 2312 2380 2428 2450 2548 2560 2600 2720 2800 2890 2912 2975 3035 3094 3136 3185 3200 3250 3328 3332 3400 3500 3536 3584 3640 3757 3808 3920 4000 4046 4096 4160 4165 4249 4250 4352 4420 4480 4550 4624 4760 4856 4900 5096 5120 5200 5440 5525 5600 5780 5824 5950 6070 6125 6188 6272 6370 6400 6500 6656 6664 6800 7000 7072 7168 7225 7280 7514 7616 7735 7840 7891 8000 8092 8192 8320 8330 8498 8500 8704 8840 8960 9100 9248 9520 9712 9800 10115 10192 10240 10319 10400 10829 10880 11050 11200 11375 11560 11648 11900 12140 12250 12376 12544 12740 12800 13000 13312 13328 13600 14000 14144 14161 14336 14450 14560 14875 15028 15175 15232 15470 15680 15782 15925 16000 16184 16384 16640 16660 16996 17000 17408 17680 17920 18200 18496 18785 19040 19424 19600 20230 20384 20480 20638 20800 20825 21245 21658 21760 22100 22400 22750 23120 23296 23800 24280 24500 24752 25088 25480 25600 26000 26299 26624 26656 27200 27625 28000 28288 28322 28672 28900 29120 29743 29750 30056 30350 30464 30940 31360 31564 31850 32000 32368 33280 33320 33992 34000 34816 35360 35840 36125 36400 36992 37570 38080 38675 38848 39200 39455 40460 40768 40960 41276 41600 41650 42490 43316 43520 44200 44800 45500 46240 46592 47600 48560 49000 49504 50176 50575 50960 51200 51595 52000 52598 53248 53312 54145 54400 55237 55250 56000 56576 56644 57344 57800 58240 59486 59500 60112 60700 60928 61880 62720 63128 63700 64000 64736 66560 66640 67984 68000 69632 70720 70805 71680 72233 72250 72800 73984 75140 75875 76160 77350 77696 78400 78910 79625 80920 81536 81920 82552 83200 83300 84980 86632 87040 88400 89600 91000 92480 93184 93925 95200 97120 98000 99008 100352 101150 101920 102400 103190 104000 104125 105196 106225 106496 106624 108290 108800 110474 110500 112000 113152 113288 114688 115600 116480 118972 119000 120224 121400 121856 123760 125440 126256 127400 128000 129472 131495 133120 133280 134147 135968 136000 139264 141440 141610 143360 144466 144500 145600 147968 148715 150280 151750 152320 154700 155392 156800 157820 159250 161840 163072 165104 166400 166600 169960 173264 174080 175423 176800 179200 182000 184093 184960 186368 187850 190400 193375 194240 196000 197275 198016 200704 202300 203840 204800 206380 208000 208250 210392 212450 212992 213248 216580 217600 220948 221000 224000 226304 226576 231200 232960 237944 238000 240448 242800 243712 247520 250880 252512 252875 254800 256000 257975 258944 262990 266240 266560 268294 270725 271936 272000 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116734075494400 120167430656000 124029955212800 125713619763200 127677895072000 133570720998400 135657763514000 138913549838336 141748520243200 145917594368000 152652252569600 155037444016000 157142024704000 158758342672384 163427705692160 166762964992000 166963401248000 173641937297920 177185650304000 190815315712000 198447928340480 204284632115200 213713153597440 217052421622400 218074646528000 228852635648000 233468150988800 240334861312000 248059910425600 255355790144000 267141441996800 271315527028000 277827099676672 283497040486400 291835188736000 305304505139200 310074888032000 314284049408000 326855411384320 333926802496000 347283874595840 354371300608000 381630631424000 396895856680960 408569264230400 427426307194880 434104843244800 480669722624000 496119820851200 510711580288000 534282883993600 542631054056000 555654199353344 566994080972800 583670377472000 620149776064000 628568098816000 667853604992000 694567749191680 708742601216000 763261262848000 793791713361920 817138528460800 868209686489600 992239641702400 1021423160576000 1068565767987200 1085262108112000 1111308398706688 1167340754944000 1240299552128000 1335707209984000 1389135498383360 1417485202432000 1526522525696000 1634277056921600 1736419372979200 1984479283404800 2042846321152000 2137131535974400 2170524216224000 2480599104256000 2671414419968000 2778270996766720 2834970404864000 3472838745958400 3968958566809600 4085692642304000 4341048432448000 4961198208512000 5342828839936000 5556541993533440 6945677491916800 8171385284608000 8682096864896000 9922396417024000 10685657679872000 13891354983833600 17364193729792000 19844792834048000 27782709967667200 34728387459584000 69456774919168000 138913549838336000
- Sum of all divisors σ(n): 462163872406849704
- Sum of proper divisors (its aliquot sum) s(n): 323250322568513704
- 138913549838336000 is an abundant number, because the sum of its proper divisors (323250322568513704) is greater than itself. Its abundance is 184336772730177704
Bases of 138913549838336000
- Binary: 1111011011000010100100011001110001001101001000000000000002
- Hexadecimal: 0x1ED8523389A4000
- Base-36: 11ZSQRT06ARK
Squares and roots of 138913549838336000
- 138913549838336000 squared (1389135498383360002) is 19296974328687859731735248896000000
- 138913549838336000 cubed (1389135498383360003) is 2680611205137271379364396928605693522477056000000000
-
The
square root of 138913549838336000 is 372711080.9170234477 -
The
cube root of 138913549838336000 is 517902.7334332079
Scales and comparisons
How big is 138913549838336000?- 138,913,549,838,336,000 seconds is equal to 4,417,021,197 years, 1 week, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,913,549,838,336,000 would take you about thirteen billion, two hundred fifty-one million, sixty-three thousand, five hundred ninety-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 138913549838336000 cubic inches would be around 43158.6 feet tall.
Recreational maths with 138913549838336000
- 138913549838336000 backwards is 000633838945319831
- The number of decimal digits it has is: 18
- The sum of 138913549838336000's digits is 74
- More coming soon!
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Cite this page
MLA style:
"Number 138913549838336000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138913549838336000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138913549838336000/
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Numbermatics. 2024. "Number 138913549838336000 - Facts about the integer". https://numbermatics.com/n/138913549838336000/
The information we have on file for 138913549838336000 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!
Keywords: Divisors of 138913549838336000, math, Factors of 138913549838336000, curriculum, school, college, exams, university, Prime factorization of 138913549838336000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred thirteen trillion, five hundred forty-nine billion, eight hundred thirty-eight million, three hundred thirty-six thousand.