138741161328000
138,741,161,328,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138741161328000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5760 divisors.
138741161328000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 138741161328000:
27 × 32 × 53 × 72 × 114 × 17 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 17 × 79)See below for interesting mathematical facts about the number 138741161328000 from the Numbermatics database.
Names of 138741161328000
- Cardinal: 138741161328000 can be written as One hundred thirty-eight trillion, seven hundred forty-one billion, one hundred sixty-one million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38741161328 × 1014
Factors of 138741161328000
Divisors of 138741161328000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 20 21 22 24 25 28 30 32 33 34 35 36 40 42 44 45 48 49 50 51 55 56 60 63 64 66 68 70 72 75 77 79 80 84 85 88 90 96 98 99 100 102 105 110 112 119 120 121 125 126 128 132 136 140 144 147 150 153 154 158 160 165 168 170 175 176 180 187 192 196 198 200 204 210 220 224 225 231 237 238 240 242 245 250 252 255 264 272 275 280 288 294 300 306 308 315 316 320 330 336 340 350 352 357 360 363 374 375 384 385 392 395 396 400 408 420 425 440 441 448 450 462 474 476 480 484 490 495 500 504 510 525 528 539 544 550 553 560 561 576 588 595 600 605 612 616 630 632 640 660 672 680 693 700 704 711 714 720 726 735 748 750 765 770 784 790 792 800 816 825 833 840 847 850 869 875 880 882 896 900 924 935 948 952 960 968 980 990 1000 1008 1020 1050 1056 1071 1078 1088 1089 1100 1106 1120 1122 1125 1152 1155 1176 1185 1190 1200 1210 1224 1225 1232 1260 1264 1275 1309 1320 1331 1343 1344 1360 1375 1386 1400 1408 1422 1428 1440 1452 1470 1496 1500 1530 1540 1568 1575 1580 1584 1600 1617 1632 1650 1659 1666 1680 1683 1694 1700 1738 1750 1760 1764 1785 1800 1815 1848 1870 1896 1904 1920 1925 1936 1960 1975 1980 2000 2016 2040 2057 2100 2112 2125 2142 2156 2176 2178 2200 2205 2212 2240 2244 2250 2310 2352 2370 2380 2400 2420 2448 2450 2464 2475 2499 2520 2528 2541 2550 2607 2618 2625 2640 2662 2686 2688 2695 2720 2750 2765 2772 2800 2805 2844 2856 2880 2904 2940 2975 2992 3000 3025 3060 3080 3136 3150 3160 3168 3200 3234 3264 3300 3318 3332 3360 3366 3388 3400 3465 3476 3500 3520 3528 3555 3570 3600 3630 3675 3696 3740 3792 3808 3825 3850 3871 3872 3920 3927 3950 3960 3993 4000 4029 4032 4080 4114 4125 4165 4200 4224 4235 4250 4284 4312 4345 4356 4400 4410 4424 4480 4488 4500 4620 4675 4704 4740 4760 4800 4840 4851 4896 4900 4928 4950 4977 4998 5040 5056 5082 5100 5214 5236 5250 5280 5324 5355 5372 5390 5440 5445 5500 5530 5544 5600 5610 5688 5712 5760 5775 5808 5880 5925 5929 5950 5984 6000 6050 6083 6120 6125 6160 6171 6272 6300 6320 6336 6375 6468 6528 6545 6600 6636 6655 6664 6715 6720 6732 6776 6800 6930 6952 7000 7040 7056 7110 7140 7200 7260 7350 7392 7480 7497 7584 7616 7623 7650 7700 7742 7744 7821 7840 7854 7875 7900 7920 7986 8000 8058 8064 8085 8160 8228 8250 8295 8330 8400 8415 8470 8500 8568 8624 8690 8712 8800 8820 8848 8925 8976 9000 9075 9163 9240 9317 9350 9401 9408 9480 9520 9559 9600 9625 9680 9702 9792 9800 9856 9875 9900 9954 9996 10080 10112 10164 10200 10285 10428 10472 10500 10560 10648 10710 10744 10780 10880 10890 11000 11025 11060 11088 11200 11220 11376 11424 11550 11613 11616 11760 11781 11850 11858 11900 11968 11979 12000 12087 12100 12166 12240 12250 12320 12342 12375 12495 12600 12640 12672 12705 12750 12936 13035 13090 13200 13272 13310 13328 13430 13440 13464 13475 13552 13600 13825 13860 13904 14000 14025 14112 14220 14280 14399 14400 14520 14641 14700 14773 14784 14875 14960 14994 15125 15168 15232 15246 15300 15400 15484 15488 15642 15680 15708 15750 15800 15840 15972 16000 16116 16170 16320 16456 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554964645312 566290454400 573310584000 578088172200 582946056000 585405744000 600611088000 616627383680 619380184500 630641642400 660672196800 680103732000 693705806640 700712936000 707863068000 722610215250 741931344000 770784229600 788302053000 792806636160 816124478400 825840246000 840855523200 867132258300 878108616000 900916632000 906804976000 924941075520 943817424000 963480287000 991008295200 1020155598000 1051069404000 1083915322875 1101120328000 1109929290624 1146621168000 1156176344400 1165892112000 1238760369000 1261283284800 1321344393600 1360207464000 1387411613280 1401425872000 1415726136000 1445220430500 1541568459200 1576604106000 1632248956800 1651680492000 1734264516600 1756217232000 1801833264000 1849882151040 1926960574000 1982016590400 2040311196000 2102138808000 2167830645750 2202240656000 2312352688800 2477520738000 2522566569600 2720414928000 2774823226560 2831452272000 2890440861000 3083136918400 3153208212000 3303360984000 3468529033200 3853921148000 3964033180800 4080622392000 4204277616000 4335661291500 4624705377600 4955041476000 5549646453120 5780881722000 6306416424000 6606721968000 6937058066400 7707842296000 8161244784000 8671322583000 9249410755200 9910082952000 11561763444000 12612832848000 13874116132800 15415684592000 17342645166000 19820165904000 23123526888000 27748232265600 34685290332000 46247053776000 69370580664000 138741161328000
- Sum of all divisors σ(n): 683606538576000
- Sum of proper divisors (its aliquot sum) s(n): 544865377248000
- 138741161328000 is an abundant number, because the sum of its proper divisors (544865377248000) is greater than itself. Its abundance is 406124215920000
Bases of 138741161328000
- Binary: 111111000101111001100011010001011111101100000002
- Hexadecimal: 0x7E2F31A2FD80
- Base-36: 1D6GT59I80
Squares and roots of 138741161328000
- 138741161328000 squared (1387411613280002) is 19249109846642122723584000000
- 138741161328000 cubed (1387411613280003) is 2670643854653368087873142494359552000000000
-
The
square root of 138741161328000 is 11778843.8026828423 -
The
cube root of 138741161328000 is 51768.8409637403
Scales and comparisons
How big is 138741161328000?- 138,741,161,328,000 seconds is equal to 4,411,539 years, 40 weeks, 2 days, 8 hours.
-
To count from 1 to 138,741,161,328,000 would take you about eleven million, twenty-eight thousand, eight hundred forty-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 138741161328000 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138741161328000
- 138741161328000 backwards is 000823161147831
- 138741161328000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138741161328000's digits is 45
- More coming soon!
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"Number 138741161328000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138741161328000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138741161328000/
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The information we have on file for 138741161328000 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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