138993214752000
138,993,214,752,000 is an even composite number composed of seven prime numbers multiplied together.
138993214752000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138993214752000:
28 × 32 × 53 × 7 × 17 × 71 × 2392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 71 × 239 × 239)See below for interesting mathematical facts about the number 138993214752000 from the Numbermatics database.
Names of 138993214752000
- Cardinal: 138993214752000 can be written as One hundred thirty-eight trillion, nine hundred ninety-three billion, two hundred fourteen million, seven hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38993214752 × 1014
Factors of 138993214752000
Divisors of 138993214752000
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 50 51 56 60 63 64 68 70 71 72 75 80 84 85 90 96 100 102 105 112 119 120 125 126 128 136 140 142 144 150 153 160 168 170 175 180 192 200 204 210 213 224 225 238 239 240 250 252 255 256 272 280 284 288 300 306 315 320 336 340 350 355 357 360 375 384 400 408 420 425 426 448 450 476 478 480 497 500 504 510 525 544 560 568 576 595 600 612 630 639 640 672 680 700 710 714 717 720 750 765 768 800 816 840 850 852 875 896 900 952 956 960 994 1000 1008 1020 1050 1065 1071 1088 1120 1125 1136 1152 1190 1195 1200 1207 1224 1260 1275 1278 1280 1344 1360 1400 1420 1428 1434 1440 1491 1500 1530 1575 1600 1632 1673 1680 1700 1704 1750 1775 1785 1792 1800 1904 1912 1920 1988 2000 2016 2040 2100 2125 2130 2142 2151 2176 2240 2250 2272 2304 2380 2390 2400 2414 2448 2485 2520 2550 2556 2625 2688 2720 2800 2840 2856 2868 2880 2975 2982 3000 3060 3150 3195 3200 3264 3346 3360 3400 3408 3500 3550 3570 3585 3600 3621 3808 3824 3825 3840 3976 4000 4032 4063 4080 4200 4250 4260 4284 4302 4352 4473 4480 4500 4544 4760 4780 4800 4828 4896 4970 5019 5040 5100 5112 5250 5325 5355 5376 5440 5600 5680 5712 5736 5760 5950 5964 5975 6000 6035 6120 6300 6375 6390 6400 6528 6692 6720 6800 6816 7000 7100 7140 7170 7200 7242 7455 7616 7648 7650 7875 7952 8000 8064 8126 8160 8365 8400 8449 8500 8520 8568 8604 8875 8925 8946 8960 9000 9088 9520 9560 9600 9656 9792 9940 10038 10080 10200 10224 10500 10650 10710 10755 10863 10880 11200 11360 11424 11472 11520 11900 11928 11950 12000 12070 12189 12240 12425 12600 12750 12780 13056 13384 13440 13600 13632 14000 14200 14280 14340 14400 14484 14875 14910 15057 15232 15296 15300 15750 15904 15975 16000 16128 16252 16320 16730 16800 16898 16969 17000 17040 17136 17208 17750 17850 17892 17925 18000 18105 18176 19040 19120 19125 19200 19312 19584 19880 20076 20160 20315 20400 20448 21000 21300 21420 21510 21726 21760 22365 22400 22720 22848 22944 23800 23856 23900 24000 24140 24378 24480 24850 25095 25200 25347 25500 25560 26625 26768 26775 26880 27200 27264 28000 28400 28441 28560 28680 28800 28968 29750 29820 29875 30114 30175 30464 30592 30600 31500 31808 31950 32000 32504 32640 33460 33600 33796 33938 34000 34080 34272 34416 35500 35700 35784 35850 36000 36210 36567 37275 38080 38240 38250 38624 39168 39760 40152 40320 40630 40800 40896 41825 42000 42245 42600 42840 43020 43452 44625 44730 44800 45440 45696 45888 47600 47712 47800 48000 48280 48756 48960 49700 50190 50400 50694 50907 51000 51120 53250 53536 53550 53775 54315 54400 54528 56000 56800 56882 57120 57121 57360 57600 57936 59500 59640 59750 60228 60350 60945 61184 61200 62125 63000 63616 63900 65008 65280 66920 67200 67592 67876 68000 68160 68544 68832 71000 71400 71568 71700 72000 72420 73134 74550 75285 76041 76160 76480 76500 77248 79520 79875 80304 80640 81260 81600 81792 83650 84000 84490 84845 85200 85323 85680 86040 86904 89250 89460 89625 90525 90880 91392 91776 95200 95424 95600 96000 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97334184000 97882545600 99280867680 102200893200 103417570500 108588449025 108758384000 109014286080 110312075200 113556548000 115155936000 115827678960 116312313600 116801020800 120653832250 122353182000 123549524224 124101084600 127751116500 129778912000 130510060800 132374490240 136267857600 137890094000 138993214752 139832208000 144784598700 145390392000 146001276000 154436905280 155126355750 158849388288 163137576000 163521429120 165468112800 170334822000 173741518440 180980748375 181690476800 185324286336 193046131600 193853856000 194668368000 195765091200 198561735360 204401786400 206835141000 217176898050 217516768000 220624150400 227113096000 231655357920 233602041600 241307664500 244706364000 248202169200 255502233000 264748980480 272535715200 275780188000 277986429504 279664416000 289569197400 290780784000 292002552000 308873810560 310252711500 326275152000 327042858240 330936225600 340669644000 347483036880 361961496750 370648572672 386092263200 389336736000 391530182400 397123470720 408803572800 413670282000 434353796100 441248300800 454226192000 463310715840 482615329000 489412728000 496404338400 511004466000 542942245125 545071430400 551560376000 555972859008 579138394800 581561568000 584005104000 617747621120 620505423000 652550304000 661872451200 681339288000 694966073760 723922993500 772184526400 794246941440 817607145600 827340564000 868707592200 908452384000 926621431680 965230658000 978825456000 992808676800 1022008932000 1085884490250 1103120752000 1111945718016 1158276789600 1168010208000 1241010846000 1323744902400 1362678576000 1389932147520 1447845987000 1544369052800 1635214291200 1654681128000 1737415184400 1853242863360 1930461316000 1957650912000 1985617353600 2044017864000 2171768980500 2206241504000 2316553579200 2482021692000 2725357152000 2779864295040 2895691974000 3088738105600 3309362256000 3474830368800 3860922632000 3971234707200 4088035728000 4343537961000 4633107158400 4964043384000 5559728590080 5791383948000 6618724512000 6949660737600 7721845264000 8176071456000 8687075922000 9266214316800 9928086768000 11582767896000 13899321475200 15443690528000 17374151844000 19856173536000 23165535792000 27798642950400 34748303688000 46331071584000 69496607376000 138993214752000
- Sum of all divisors σ(n): 616311899933184
- Sum of proper divisors (its aliquot sum) s(n): 477318685181184
- 138993214752000 is an abundant number, because the sum of its proper divisors (477318685181184) is greater than itself. Its abundance is 338325470429184
Bases of 138993214752000
- Binary: 111111001101001111000010011000100000101000000002
- Hexadecimal: 0x7E69E1310500
- Base-36: 1D9OLND4W0
Squares and roots of 138993214752000
- 138993214752000 squared (1389932147520002) is 19319113747095590421504000000
- 138993214752000 cubed (1389932147520003) is 2685225725868372815728339670827008000000000
-
The
square root of 138993214752000 is 11789538.3604278585 -
The
cube root of 138993214752000 is 51800.1717758399
Scales and comparisons
How big is 138993214752000?- 138,993,214,752,000 seconds is equal to 4,419,554 years, 15 weeks, 2 days, 8 hours.
-
To count from 1 to 138,993,214,752,000 would take you about eleven million, forty-eight thousand, eight hundred eighty-five 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 138993214752000 cubic inches would be around 4316.7 feet tall.
Recreational maths with 138993214752000
- 138993214752000 backwards is 000257412399831
- The number of decimal digits it has is: 15
- The sum of 138993214752000's digits is 54
- More coming soon!
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The information we have on file for 138993214752000 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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