138629386199040
138,629,386,199,040 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138629386199040 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
138629386199040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138629386199040:
213 × 3 × 5 × 11 × 19 × 312 × 41 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 19 × 31 × 31 × 41 × 137)See below for interesting mathematical facts about the number 138629386199040 from the Numbermatics database.
Names of 138629386199040
- Cardinal: 138629386199040 can be written as One hundred thirty-eight trillion, six hundred twenty-nine billion, three hundred eighty-six million, one hundred ninety-nine thousand and forty.
Scientific notation
- Scientific notation: 1.3862938619904 × 1014
Factors of 138629386199040
Divisors of 138629386199040
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 31 32 33 38 40 41 44 48 55 57 60 62 64 66 76 80 82 88 93 95 96 110 114 120 123 124 128 132 137 152 155 160 164 165 176 186 190 192 205 209 220 228 240 246 248 256 264 274 285 304 310 320 328 330 341 352 372 380 384 410 411 418 440 451 456 465 480 492 496 512 528 548 570 589 608 615 620 627 640 656 660 682 685 704 744 760 768 779 820 822 836 880 902 912 930 960 961 984 992 1023 1024 1045 1056 1096 1140 1178 1216 1230 1240 1254 1271 1280 1312 1320 1353 1364 1370 1408 1488 1507 1520 1536 1558 1640 1644 1672 1705 1760 1767 1804 1824 1860 1920 1922 1968 1984 2046 2048 2055 2090 2112 2192 2255 2280 2337 2356 2432 2460 2480 2508 2542 2560 2603 2624 2640 2706 2728 2740 2816 2883 2945 2976 3014 3040 3072 3116 3135 3280 3288 3344 3410 3520 3534 3608 3648 3720 3813 3840 3844 3895 3936 3968 4092 4096 4110 4180 4224 4247 4384 4510 4521 4560 4674 4712 4805 4864 4920 4960 5016 5084 5115 5120 5206 5248 5280 5412 5456 5480 5617 5632 5766 5890 5952 6028 6080 6144 6232 6270 6355 6479 6560 6576 6688 6765 6820 7040 7068 7216 7296 7440 7535 7626 7680 7688 7790 7809 7872 7936 8184 8192 8220 8360 8448 8494 8569 8768 8835 9020 9042 9120 9348 9424 9610 9728 9840 9920 10032 10168 10230 10240 10412 10496 10560 10571 10824 10912 10960 11234 11264 11532 11685 11780 11904 12056 12160 12288 12464 12540 12710 12741 12958 13015 13120 13152 13376 13530 13640 13981 14080 14136 14415 14432 14592 14880 15070 15252 15360 15376 15580 15618 15744 15872 16368 16440 16720 16851 16896 16988 17138 17536 17670 18040 18084 18240 18259 18696 18848 19065 19220 19437 19456 19680 19840 20064 20336 20460 20480 20824 20992 21120 21142 21235 21648 21824 21920 22468 22528 22605 23064 23370 23560 23808 24112 24149 24320 24576 24928 25080 25420 25482 25707 25916 26030 26240 26304 26752 27060 27280 27962 28085 28160 28272 28633 28830 28864 29184 29760 30140 30504 30720 30752 31160 31236 31488 31713 31744 32395 32736 32880 33440 33702 33792 33976 34276 35072 35340 36080 36168 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337297776640 338120454144 361014026560 364814174208 372659640320 393833483520 406537789440 420089049088 422650567680 433216831872 447191568384 456017717760 486418898944 505946664960 525111311360 541521039840 558989460480 563534090240 577622442496 608023623680 630133573632 663298498560 676240908288 722028053120 729628348416 745319280640 787666967040 840178098176 845301135360 866433663744 894383136768 912035435520 1011893329920 1050222622720 1083042079680 1117978920960 1127068180480 1155244884992 1216047247360 1260267147264 1444056106240 1459256696832 1490638561280 1575333934080 1690602270720 1732867327488 1824070871040 2100445245440 2166084159360 2235957841920 2310489769984 2432094494720 2520534294528 2888112212480 3150667868160 3381204541440 3465734654976 3648141742080 4200890490880 4332168318720 4471915683840 4620979539968 5776224424960 6301335736320 6931469309952 7296283484160 8664336637440 9241959079936 11552448849920 12602671472640 13862938619904 17328673274880 23104897699840 27725877239808 34657346549760 46209795399680 69314693099520 138629386199040
- Sum of all divisors σ(n): 543117179082240
- Sum of proper divisors (its aliquot sum) s(n): 404487792883200
- 138629386199040 is an abundant number, because the sum of its proper divisors (404487792883200) is greater than itself. Its abundance is 265858406684160
Bases of 138629386199040
- Binary: 111111000010101001010110101000111100000000000002
- Hexadecimal: 0x7E152B51E000
- Base-36: 1D51GL8KQO
Squares and roots of 138629386199040
- 138629386199040 squared (1386293861990402) is 19218106717922582018496921600
- 138629386199040 cubed (1386293861990403) is 2664194338213254701894179609259764875264000
-
The
square root of 138629386199040 is 11774098.1055467683 -
The
cube root of 138629386199040 is 51754.9349163253
Scales and comparisons
How big is 138629386199040?- 138,629,386,199,040 seconds is equal to 4,407,985 years, 34 weeks, 6 days, 17 hours, 4 minutes.
-
To count from 1 to 138,629,386,199,040 would take you about eleven million, nineteen thousand, nine hundred sixty-four 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 138629386199040 cubic inches would be around 4312.9 feet tall.
Recreational maths with 138629386199040
- 138629386199040 backwards is 040991683926831
- The number of decimal digits it has is: 15
- The sum of 138629386199040's digits is 69
- More coming soon!
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Cite this page
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"Number 138629386199040 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138629386199040 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138629386199040/
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The information we have on file for 138629386199040 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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