138913829683200
138,913,829,683,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138913829683200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3672 divisors.
138913829683200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, six hundred seventy-two divisors.
Prime factorization of 138913829683200:
216 × 32 × 52 × 112 × 13 × 53 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 13 × 53 × 113)See below for interesting mathematical facts about the number 138913829683200 from the Numbermatics database.
Names of 138913829683200
- Cardinal: 138913829683200 can be written as One hundred thirty-eight trillion, nine hundred thirteen billion, eight hundred twenty-nine million, six hundred eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.389138296832 × 1014
Factors of 138913829683200
Divisors of 138913829683200
- Number of divisors d(n): 3672
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 53 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 106 110 113 117 120 121 128 130 132 143 144 150 156 159 160 165 176 180 192 195 198 200 208 212 220 225 226 234 240 242 256 260 264 265 275 286 288 300 312 318 320 325 330 339 352 360 363 384 390 396 400 416 424 429 440 450 452 468 477 480 484 495 512 520 528 530 550 565 572 576 583 585 600 605 624 636 640 650 660 678 689 704 715 720 726 768 780 792 795 800 825 832 848 858 880 900 904 936 954 960 968 975 990 1017 1024 1040 1056 1060 1089 1100 1130 1144 1152 1166 1170 1200 1210 1243 1248 1272 1280 1287 1300 1320 1325 1356 1378 1408 1430 1440 1452 1469 1536 1560 1573 1584 1590 1600 1650 1664 1695 1696 1716 1749 1760 1800 1808 1815 1872 1908 1920 1936 1950 1980 2034 2048 2067 2080 2112 2120 2145 2178 2200 2260 2288 2304 2332 2340 2385 2400 2420 2475 2486 2496 2544 2560 2574 2600 2640 2650 2712 2756 2816 2825 2860 2880 2904 2915 2925 2938 3025 3072 3120 3146 3168 3180 3200 3300 3328 3390 3392 3432 3445 3498 3520 3575 3600 3616 3630 3729 3744 3816 3840 3872 3900 3960 3975 4068 4096 4134 4160 4224 4240 4290 4356 4400 4407 4520 4576 4608 4664 4680 4719 4770 4800 4840 4950 4972 4992 5085 5088 5120 5148 5200 5247 5280 5300 5424 5445 5512 5632 5650 5720 5760 5808 5830 5850 5876 5989 6050 6144 6201 6215 6240 6292 6336 6360 6400 6413 6435 6600 6656 6780 6784 6864 6890 6996 7040 7150 7200 7232 7260 7345 7458 7488 7579 7632 7680 7744 7800 7865 7920 7950 8136 8192 8268 8320 8448 8475 8480 8580 8712 8745 8800 8814 9040 9075 9152 9216 9328 9360 9438 9540 9600 9680 9900 9944 9984 10170 10176 10240 10296 10335 10400 10494 10560 10600 10725 10848 10890 11024 11187 11264 11300 11440 11520 11616 11660 11700 11752 11925 11978 12100 12288 12402 12430 12480 12584 12672 12720 12800 12826 12870 13200 13221 13312 13560 13568 13673 13728 13780 13992 14080 14157 14300 14400 14464 14520 14575 14690 14916 14976 15158 15264 15360 15488 15600 15730 15840 15900 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267141980160 271316073600 280633999360 287012044800 289403811840 291223961600 296824422400 307331481600 308697399296 315713249280 323808460800 327626956800 333927475200 347284574208 350792499200 356189306880 361754764800 382682726400 385871749120 394641561600 409775308800 420950999040 427427168256 434105717760 436835942400 445236633600 463046098944 482339686400 485712691200 505141198848 524203130880 526188748800 534283960320 542632147200 574024089600 578807623680 593648844800 614662963200 617394798592 631426498560 655253913600 667854950400 694569148416 701584998400 712378613760 723509529600 771743498240 789283123200 841901998080 868211435520 873671884800 890473267200 926092197888 964679372800 971425382400 1052377497600 1068567920640 1085264294400 1148048179200 1157615247360 1187297689600 1229325926400 1262852997120 1310507827200 1335709900800 1389138296832 1403169996800 1447019059200 1543486996480 1578566246400 1736422871040 1780946534400 1852184395776 1929358745600 2104754995200 2137135841280 2170528588800 2315230494720 2525705994240 2621015654400 2671419801600 2778276593664 2894038118400 3086973992960 3157132492800 3472845742080 3561893068800 3858717491200 4209509990400 4341057177600 4630460989440 5342839603200 5556553187328 5788076236800 6314264985600 6945691484160 7717434982400 8682114355200 9260921978880 10685679206400 11576152473600 12628529971200 13891382968320 15434869964800 17364228710400 23152304947200 27782765936640 34728457420800 46304609894400 69456914841600 138913829683200
- Sum of all divisors σ(n): 605466260007336
- Sum of proper divisors (its aliquot sum) s(n): 466552430324136
- 138913829683200 is an abundant number, because the sum of its proper divisors (466552430324136) is greater than itself. Its abundance is 327638600640936
Bases of 138913829683200
- Binary: 111111001010111011001010111100100000000000000002
- Hexadecimal: 0x7E5765790000
- Base-36: 1D8O4RJLS0
Squares and roots of 138913829683200
- 138913829683200 squared (1389138296832002) is 19297052077253097412362240000
- 138913829683200 cubed (1389138296832003) is 2680627405647377542840546845542842368000000
-
The
square root of 138913829683200 is 11786171.1205632849 -
The
cube root of 138913829683200 is 51790.3081209031
Scales and comparisons
How big is 138913829683200?- 138,913,829,683,200 seconds is equal to 4,417,030 years, 4 weeks, 6 days, 16 hours.
-
To count from 1 to 138,913,829,683,200 would take you about eleven million, forty-two thousand, five hundred seventy-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 138913829683200 cubic inches would be around 4315.9 feet tall.
Recreational maths with 138913829683200
- 138913829683200 backwards is 002386928319831
- The number of decimal digits it has is: 15
- The sum of 138913829683200's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138913829683200 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 138913829683200 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/138913829683200/
Chicago style:
Numbermatics. 2024. "Number 138913829683200 - Facts about the integer". https://numbermatics.com/n/138913829683200/
The information we have on file for 138913829683200 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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