138331313120000
138,331,313,120,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138331313120000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3240 divisors.
138331313120000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 138331313120000:
28 × 54 × 7 × 11 × 132 × 292 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 11 × 13 × 13 × 29 × 29 × 79)See below for interesting mathematical facts about the number 138331313120000 from the Numbermatics database.
Names of 138331313120000
- Cardinal: 138331313120000 can be written as One hundred thirty-eight trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3833131312 × 1014
Factors of 138331313120000
Divisors of 138331313120000
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 29 32 35 40 44 50 52 55 56 58 64 65 70 77 79 80 88 91 100 104 110 112 116 125 128 130 140 143 145 154 158 160 169 175 176 182 200 203 208 220 224 232 250 256 260 275 280 286 290 308 316 319 320 325 338 350 352 364 377 385 395 400 406 416 440 448 455 464 500 520 550 553 560 572 580 616 625 632 638 640 650 676 700 704 715 725 728 754 770 790 800 812 832 841 845 869 875 880 896 910 928 1000 1001 1015 1027 1040 1100 1106 1120 1144 1160 1183 1232 1250 1264 1276 1280 1300 1352 1375 1400 1408 1430 1450 1456 1508 1540 1580 1595 1600 1624 1625 1664 1682 1690 1738 1750 1760 1792 1820 1856 1859 1885 1925 1975 2000 2002 2030 2054 2080 2200 2212 2233 2240 2275 2288 2291 2320 2366 2464 2500 2528 2552 2600 2639 2704 2750 2765 2800 2816 2860 2900 2912 3016 3080 3160 3190 3200 3248 3250 3328 3364 3380 3476 3500 3520 3575 3625 3640 3712 3718 3770 3850 3950 4000 4004 4060 4108 4147 4160 4205 4225 4345 4375 4400 4424 4466 4480 4550 4576 4582 4640 4732 4901 4928 5000 5005 5056 5075 5104 5135 5200 5278 5408 5500 5530 5600 5720 5800 5824 5887 5915 6032 6083 6160 6320 6380 6400 6496 6500 6728 6760 6875 6952 7000 7040 7150 7189 7250 7280 7424 7436 7540 7700 7900 7975 8000 8008 8120 8125 8216 8294 8320 8410 8450 8690 8750 8800 8848 8932 8960 9100 9152 9164 9251 9280 9295 9425 9464 9625 9802 9856 9875 10000 10010 10112 10150 10208 10270 10400 10556 10816 10933 11000 11060 11165 11200 11297 11375 11440 11455 11600 11648 11774 11830 12064 12166 12320 12640 12760 12992 13000 13013 13195 13351 13456 13520 13750 13825 13904 14000 14080 14300 14378 14500 14560 14872 15080 15400 15800 15950 16000 16016 16037 16240 16250 16432 16588 16640 16820 16900 17380 17500 17600 17696 17864 17875 18125 18200 18304 18328 18502 18560 18590 18850 18928 19250 19604 19712 19750 20000 20020 20224 20300 20416 20540 20735 20800 21025 21112 21125 21632 21725 21866 22000 22120 22330 22400 22594 22750 22880 22910 23200 23296 23548 23660 24128 24332 24505 24640 25025 25201 25280 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553325252480 596255660000 617550505000 628778696000 665054390000 681435040000 691656565600 760062160000 785973370000 790464646400 818528480000 864570707000 875514640000 898255280000 954009056000 967351840000 988080808000 1064087024000 1080713383750 1106650504960 1192511320000 1235101010000 1257557392000 1330108780000 1383313131200 1520124320000 1571946740000 1729141414000 1751029280000 1796510560000 1976161616000 2128174048000 2161426767500 2385022640000 2470202020000 2515114784000 2660217560000 2766626262400 3143893480000 3458282828000 3952323232000 4322853535000 4770045280000 4940404040000 5320435120000 5533252524800 6287786960000 6916565656000 8645707070000 9880808080000 10640870240000 12575573920000 13833131312000 17291414140000 19761616160000 27666262624000 34582828280000 69165656560000 138331313120000
- Sum of all divisors σ(n): 488542554339840
- Sum of proper divisors (its aliquot sum) s(n): 350211241219840
- 138331313120000 is an abundant number, because the sum of its proper divisors (350211241219840) is greater than itself. Its abundance is 211879928099840
Bases of 138331313120000
- Binary: 111110111001111110001001100011110100011000000002
- Hexadecimal: 0x7DCFC4C7A300
- Base-36: 1D18J080ZK
Squares and roots of 138331313120000
- 138331313120000 squared (1383313131200002) is 19135552189503484134400000000
- 138331313120000 cubed (1383313131200003) is 2647046061650308041126638563328000000000000
-
The
square root of 138331313120000 is 11761433.2936083943 -
The
cube root of 138331313120000 is 51717.8147860911
Scales and comparisons
How big is 138331313120000?- 138,331,313,120,000 seconds is equal to 4,398,507 years, 45 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,331,313,120,000 would take you about ten million, nine hundred ninety-six thousand, two hundred sixty-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 138331313120000 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138331313120000
- 138331313120000 backwards is 000021313133831
- 138331313120000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138331313120000's digits is 29
- More coming soon!
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"Number 138331313120000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138331313120000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138331313120000/
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The information we have on file for 138331313120000 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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