138330643838400
138,330,643,838,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138330643838400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2772 divisors.
138330643838400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred seventy-two divisors.
Prime factorization of 138330643838400:
26 × 310 × 52 × 13 × 412 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 41 × 41 × 67)See below for interesting mathematical facts about the number 138330643838400 from the Numbermatics database.
Names of 138330643838400
- Cardinal: 138330643838400 can be written as One hundred thirty-eight trillion, three hundred thirty billion, six hundred forty-three million, eight hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.383306438384 × 1014
Factors of 138330643838400
Divisors of 138330643838400
- Number of divisors d(n): 2772
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 41 45 48 50 52 54 60 64 65 67 72 75 78 80 81 82 90 96 100 104 108 117 120 123 130 134 135 144 150 156 160 162 164 180 192 195 200 201 205 208 216 225 234 240 243 246 260 268 270 288 300 312 320 324 325 328 335 351 360 369 390 400 402 405 410 416 432 450 468 480 486 492 520 533 536 540 576 585 600 603 615 624 648 650 656 670 675 702 720 729 738 780 800 804 810 820 832 864 871 900 936 960 972 975 984 1005 1025 1040 1053 1066 1072 1080 1107 1170 1200 1206 1215 1230 1248 1296 1300 1312 1340 1350 1404 1440 1458 1476 1560 1599 1600 1608 1620 1640 1675 1681 1728 1742 1755 1800 1809 1845 1872 1944 1950 1968 2010 2025 2050 2080 2106 2132 2144 2160 2187 2214 2340 2400 2412 2430 2460 2496 2592 2600 2613 2624 2665 2680 2700 2747 2808 2880 2916 2925 2952 3015 3075 3120 3159 3198 3216 3240 3280 3321 3350 3362 3484 3510 3600 3618 3645 3690 3744 3888 3900 3936 4020 4050 4100 4160 4212 4264 4288 4320 4355 4374 4428 4680 4797 4800 4824 4860 4920 5025 5043 5184 5200 5226 5265 5330 5360 5400 5427 5494 5535 5616 5832 5850 5904 6030 6075 6150 6240 6318 6396 6432 6480 6560 6561 6642 6700 6724 6968 7020 7200 7236 7290 7380 7488 7776 7800 7839 7872 7995 8040 8100 8200 8241 8405 8424 8528 8640 8710 8748 8775 8856 9045 9225 9360 9477 9594 9648 9720 9840 9963 10050 10086 10400 10452 10530 10660 10720 10800 10854 10935 10988 11070 11232 11664 11700 11808 12060 12150 12300 12480 12636 12792 12864 12960 13065 13120 13122 13284 13325 13400 13448 13735 13936 14040 14391 14400 14472 14580 14760 15075 15129 15552 15600 15678 15795 15990 16080 16200 16281 16400 16482 16605 16810 16848 17056 17420 17496 17550 17712 18090 18225 18450 18720 18954 19188 19296 19440 19680 19683 19926 20100 20172 20800 20904 21060 21320 21440 21600 21708 21775 21853 21870 21976 22140 22464 23328 23400 23517 23616 23985 24120 24300 24600 24723 25215 25272 25584 25920 26130 26244 26325 26568 26650 26800 26896 27135 27470 27675 27872 28080 28431 28782 28944 29160 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14231547720 14337753300 14418453600 14596459200 14778914940 14995191744 15293603520 15619991400 15764175936 15812830800 15881819040 16010491185 16220760300 16421016600 16458137280 16785662400 16869590712 17077857264 17205303960 17302144320 17572490325 17646465600 17734697928 17789434650 18473643675 18743989680 18975396960 19117004400 19212589422 19705219920 19852273800 20572671600 20646364752 20826655200 21083774400 21086988390 21347321580 21506629950 21627680400 21894688800 22168372410 22492787616 22770476352 22940405280 23429987100 23646263904 23719246200 24631524900 24991986240 25178493600 25489339200 25616785896 25807955940 25953216480 26273626560 26469698400 26602046892 26684151975 27430228800 27528486336 28115984520 28463095440 28675506600 28818884133 28836907200 29557829880 31239982800 31625661600 31763638080 32020982370 32259944925 32441520600 32842033200 33252558615 33739181424 34155714528 34410607920 35144980650 35469395856 35578869300 36947287350 37487979360 37950793920 38234008800 38425178844 39410439840 39704547600 41145343200 41292729504 41653310400 42173976780 42694643160 43013259900 43255360800 43789377600 44336744820 44985575232 45880810560 46859974200 47292527808 47438492400 48031473555 49263049800 50356987200 51233571792 51615911880 51906432960 52717470975 52939396800 53204093784 53368303950 55420931025 56231969040 56926190880 57351013200 57637768266 59115659760 62479965600 63251323200 64041964740 64519889850 64883041200 65684066400 66505117230 67478362848 68311429056 68821215840 70289961300 70938791712 71157738600 73894574700 74975958720 76468017600 76850357688 78820879680 79409095200 80052455925 82290686400 82585459008 84347953560 85389286320 86026519800 86456652399 86510721600 88673489640 93719948400 94876984800 96062947110 98526099600 102467143584 103231823760 105434941950 106408187568 106736607900 110841862050 112463938080 113852381760 114702026400 115275536532 118231319520 124959931200 128083929480 129039779700 129766082400 131368132800 133010234460 134956725696 137642431680 140579922600 141877583424 142315477200 144094420665 147789149400 153700715376 158818190400 160104911850 166262793075 168695907120 170778572640 172053039600 172913304798 177346979280 187439896800 189753969600 192125894220 197052199200 204934287168 206463647520 210869883900 212816375136 213473215800 221683724100 224927876160 229404052800 230551073064 236462639040 240157367775 256167858960 258079559400 259532164800 266020468920 281159845200 284630954400 288188841330 295578298800 307401430752 320209823700 332525586150 337391814240 341557145280 344106079200 345826609596 354693958560 374879793600 384251788440 394104398400 412927295040 421739767800 425632750272 426946431600 432283261995 443367448200 461102146128 480314735550 512335717920 516159118800 532040937840 562319690400 569261908800 576377682660 591156597600 614802861504 640419647400 665051172300 674783628480 688212158400 691653219192 709387917120 720472103325 768503576880 843479535600 853892863200 864566523990 886734896400 922204292256 960629471100 1024671435840 1032318237600 1064081875680 1124639380800 1152755365320 1182313195200 1280839294800 1330102344600 1383306438384 1440944206650 1537007153760 1686959071200 1707785726400 1729133047980 1773469792800 1844408584512 1921258942200 2064636475200 2128163751360 2161416309975 2305510730640 2561678589600 2660204689200 2766612876768 2881888413300 3074014307520 3373918142400 3458266095960 3546939585600 3842517884400 4322832619950 4611021461280 5123357179200 5320409378400 5533225753536 5763776826600 6916532191920 7685035768800 8645665239900 9222042922560 10640818756800 11527553653200 13833064383840 15370071537600 17291330479800 23055107306400 27666128767680 34582660959600 46110214612800 69165321919200 138330643838400
- Sum of all divisors σ(n): 571990736362696
- Sum of proper divisors (its aliquot sum) s(n): 433660092524296
- 138330643838400 is an abundant number, because the sum of its proper divisors (433660092524296) is greater than itself. Its abundance is 295329448685896
Bases of 138330643838400
- Binary: 111110111001111100111001110001100110101110000002
- Hexadecimal: 0x7DCF9CE335C0
- Base-36: 1D187XR000
Squares and roots of 138330643838400
- 138330643838400 squared (1383306438384002) is 19135367024746271885314560000
- 138330643838400 cubed (1383306438384003) is 2647007640617240415295659690709807104000000
-
The
square root of 138330643838400 is 11761404.8411913787 -
The
cube root of 138330643838400 is 51717.7313780353
Scales and comparisons
How big is 138330643838400?- 138,330,643,838,400 seconds is equal to 4,398,486 years, 30 weeks, 4 days, 12 hours.
-
To count from 1 to 138,330,643,838,400 would take you about ten million, nine hundred ninety-six thousand, two hundred sixteen 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 138330643838400 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138330643838400
- 138330643838400 backwards is 004838346033831
- 138330643838400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138330643838400's digits is 54
- More coming soon!
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MLA style:
"Number 138330643838400 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138330643838400 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138330643838400/
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The information we have on file for 138330643838400 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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