138148597350400
138,148,597,350,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138148597350400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1350 divisors.
138148597350400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 138148597350400:
214 × 52 × 72 × 134 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 13 × 241)See below for interesting mathematical facts about the number 138148597350400 from the Numbermatics database.
Names of 138148597350400
- Cardinal: 138148597350400 can be written as One hundred thirty-eight trillion, one hundred forty-eight billion, five hundred ninety-seven million, three hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.381485973504 × 1014
Factors of 138148597350400
Divisors of 138148597350400
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 128 130 140 160 169 175 182 196 200 208 224 241 245 256 260 280 320 325 338 350 364 392 400 416 448 455 482 490 512 520 560 637 640 650 676 700 728 784 800 832 845 896 910 964 980 1024 1040 1120 1183 1205 1225 1274 1280 1300 1352 1400 1456 1568 1600 1664 1687 1690 1792 1820 1928 1960 2048 2080 2197 2240 2275 2366 2410 2450 2548 2560 2600 2704 2800 2912 3133 3136 3185 3200 3328 3374 3380 3584 3640 3856 3920 4096 4160 4225 4394 4480 4550 4732 4820 4900 5096 5120 5200 5408 5600 5824 5915 6025 6266 6272 6370 6400 6656 6748 6760 7168 7280 7712 7840 8192 8281 8320 8435 8450 8788 8960 9100 9464 9640 9800 10192 10240 10400 10816 10985 11200 11648 11809 11830 12050 12532 12544 12740 12800 13312 13496 13520 14336 14560 15379 15424 15665 15680 15925 16384 16562 16640 16870 16900 17576 17920 18200 18928 19280 19600 20384 20480 20800 21632 21931 21970 22400 23296 23618 23660 24100 25064 25088 25480 25600 26624 26992 27040 28561 28672 29120 29575 30758 30848 31330 31360 31850 33124 33280 33740 33800 35152 35840 36400 37856 38560 39200 40729 40768 40960 41405 41600 42175 43264 43862 43940 44800 46592 47236 47320 48200 50128 50176 50960 51200 53248 53984 54080 54925 57122 57344 58240 59045 59150 61516 61696 62660 62720 63700 66248 66560 67480 67600 70304 71680 72800 75712 76895 77120 78325 78400 81458 81536 81920 82810 83200 84350 86528 87724 87880 89600 93184 94472 94640 96400 100256 100352 101920 102400 106496 107653 107968 108160 109655 109850 114244 114688 116480 118090 118300 123032 123392 125320 125440 127400 132496 133120 134960 135200 140608 142805 143360 145600 151424 153517 153790 154240 156650 156800 162916 163072 165620 166400 168700 173056 175448 175760 179200 186368 188944 189280 192800 199927 200512 200704 203645 203840 204800 207025 212992 215306 215936 216320 219310 219700 228488 232960 236180 236600 246064 246784 250640 250880 254800 264992 266240 269920 270400 281216 285103 285610 286720 291200 295225 302848 307034 307580 308480 313300 313600 325832 326144 331240 332800 337400 346112 350896 351520 358400 372736 377888 378560 384475 385600 399854 401024 401408 407290 407680 409600 414050 430612 431872 432640 438620 439400 456976 465920 472360 473200 492128 493568 501280 501760 509600 529477 529984 532480 538265 539840 540800 548275 562432 570206 571220 573440 582400 590450 605696 614068 615160 616960 626600 627200 651664 652288 662480 665600 674800 692224 701792 703040 714025 716800 745472 755776 757120 767585 768950 771200 799708 802048 802816 814580 815360 828100 861224 863744 865280 877240 878800 913952 931840 944720 946400 984256 987136 999635 1002560 1003520 1018225 1019200 1058954 1059968 1064960 1076530 1079680 1081600 1096550 1124864 1140412 1142440 1164800 1180900 1211392 1228136 1230320 1233920 1253200 1254400 1303328 1304576 1324960 1331200 1349600 1384448 1399489 1403584 1406080 1425515 1428050 1433600 1490944 1511552 1514240 1535170 1537900 1542400 1599416 1604096 1629160 1630720 1656200 1722448 1727488 1730560 1754480 1757600 1827904 1863680 1889440 1892800 1968512 1974272 1995721 1999270 2005120 2007040 2036450 2038400 2117908 2119936 2153060 2159360 2163200 2193100 2249728 2280824 2284880 2329600 2361800 2422784 2456272 2460640 2467840 2506400 2508800 2606656 2609152 2647385 2649920 2662400 2691325 2699200 2768896 2798978 2807168 2812160 2851030 2856100 2867200 3023104 3028480 3070340 3075800 3084800 3198832 3208192 3258320 3261440 3312400 3444896 3454976 3461120 3508960 3515200 3655808 3706339 3727360 3778880 3785600 3837925 3937024 3948544 3991442 3998540 4010240 4014080 4072900 4076800 4235816 4239872 4306120 4318720 4326400 4386200 4499456 4561648 4569760 4659200 4723600 4845568 4912544 4921280 4935680 4998175 5012800 5017600 5213312 5218304 5294770 5299840 5324800 5382650 5398400 5597956 5614336 5624320 5702060 5712200 6046208 6056960 6140680 6151600 6169600 6397664 6416384 6516640 6522880 6624800 6883201 6889792 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25944373 26066560 26091520 26473850 26499200 27532804 27559168 27639808 27989780 28071680 28121600 28510300 29246464 29650712 30231040 30284800 30703400 31496192 31931536 31988320 32081920 32583200 32614400 33886528 33918976 34416005 34448960 34549760 34611200 34987225 35089600 35995648 36493184 36558080 37063390 37273600 37788800 39300352 39370240 39914420 39985400 40102400 41706496 42358160 42398720 43061200 43187200 44783648 44914688 44994560 45616480 45697600 48182407 48369664 48455680 49125440 49212800 49356800 49893025 51181312 51331072 51888746 52133120 52183040 52947700 52998400 55065608 55118336 55979560 56143360 56243200 57020600 58492928 59301424 60462080 60569600 61406800 62992384 63863072 63976640 64163840 65166400 65228800 67773056 67837952 68832010 68897920 69099520 69222400 69974450 70179200 72986368 73116160 74126780 75577600 78600704 78740480 79828840 79970800 80204800 83412992 84716320 84797440 86122400 86374400 89567296 89829376 89989120 91232960 91395200 92658475 96364814 96739328 96911360 98250880 98425600 98713600 99786050 102362624 103777492 104266240 105895400 105996800 110131216 110236672 111959120 112286720 112486400 114041200 116985856 118602848 120924160 121139200 122813600 125984768 127726144 127953280 128327680 129721865 130332800 130457600 135546112 135675904 137664020 137795840 138199040 139948900 140358400 145972736 146232320 148253560 151155200 157201408 157480960 159657680 159941600 160409600 166825984 169432640 169594880 172080025 172244800 172748800 179134592 179658752 179978240 182465920 182790400 185316950 192729628 193478656 196501760 196851200 199572100 204725248 207554984 208532480 211790800 211993600 220262432 220473344 223918240 224573440 224972800 228082400 233971712 237205696 240912035 241848320 242278400 245627200 251969536 255452288 255906560 256655360 259443730 260665600 260915200 271092224 275328040 275591680 279897800 280716800 291945472 292464640 296507120 302310400 314402816 314961920 319315360 319883200 320819200 333651968 337276849 338865280 339189760 344160050 344489600 345497600 358269184 359317504 364931840 365580800 370633900 385459256 393003520 393702400 399144200 409450496 415109968 417064960 423581600 423987200 440524864 440946688 447836480 449146880 449945600 456164800 467943424 474411392 481824070 483696640 484556800 491254400 510904576 511813120 518887460 521331200 542184448 550656080 551183360 559795600 561433600 583890944 584929280 593014240 604620800 628805632 629923840 638630720 639766400 641638400 648609325 667303936 674553698 677730560 678379520 688320100 688979200 690995200 716538368 729863680 731161600 741267800 770918512 786007040 787404800 798288400 818900992 830219936 834129920 847163200 847974400 881049728 881893376 895672960 898293760 899891200 912329600 948822784 963648140 967393280 982508800 1021809152 1023626240 1037774920 1042662400 1084368896 1101312160 1102366720 1119591200 1122867200 1167781888 1169858560 1186028480 1204560175 1209241600 1257611264 1259847680 1277261440 1279532800 1283276800 1297218650 1349107396 1355461120 1376640200 1377958400 1433076736 1459727360 1462323200 1482535600 1541837024 1572014080 1574809600 1596576800 1637801984 1660439872 1668259840 1686384245 1694326400 1695948800 1762099456 1763786752 1791345920 1796587520 1824659200 1897645568 1927296280 1965017600 2043618304 2047252480 2075549840 2085324800 2168737792 2202624320 2204733440 2239182400 2245734400 2335563776 2339717120 2372056960 2409120350 2418483200 2515222528 2554522880 2559065600 2594437300 2698214792 2710922240 2753280400 2755916800 2866153472 2919454720 2924646400 2965071200 3083674048 3144028160 3149619200 3193153600 3275603968 3320879744 3336519680 3372768490 3388652800 3391897600 3524198912 3582691840 3649318400 3795291136 3854592560 3930035200 4087236608 4094504960 4151099680 4170649600 4337475584 4405248640 4409466880 4478364800 4491468800 4671127552 4744113920 4818240700 4836966400 5109045760 5118131200 5188874600 5396429584 5421844480 5506560800 5511833600 5732306944 5838909440 5849292800 5930142400 6167348096 6288056320 6299238400 6386307200 6641759488 6745536980 6777305600 7048397824 7165383680 7298636800 7590582272 7709185120 7860070400 8174473216 8189009920 8302199360 8341299200 8431921225 8674951168 8810497280 8818933760 8956729600 8982937600 9488227840 9636481400 10218091520 10236262400 10377749200 10792859168 10843688960 11013121600 11023667200 11464613888 11677818880 11698585600 11860284800 12334696192 12576112640 12772614400 13283518976 13491073960 13554611200 14096795648 14330767360 14597273600 15181164544 15418370240 15720140800 16348946432 16378019840 16604398720 16682598400 16863842450 17620994560 17913459200 18976455680 19272962800 20436183040 20472524800 20755498400 21585718336 21687377920 22026243200 22047334400 22929227776 23355637760 23720569600 24669392384 25545228800 26567037952 26982147920 27109222400 28193591296 28661534720 29194547200 30362329088 30836740480 31440281600 32697892864 33208797440 33727684900 35241989120 35826918400 37952911360 38545925600 40872366080 40945049600 41510996800 43171436672 43374755840 44052486400 44094668800 47441139200 49338784768 51090457600 53134075904 53964295840 54218444800 56387182592 57323069440 58389094400 60724658176 61673480960 62880563200 66417594880 67455369800 70483978240 71653836800 75905822720 77091851200 81744732160 81890099200 83021993600 86342873344 88104972800 94882278400 98677569536 102180915200 106268151808 107928591680 108436889600 112774365184 114646138880 116778188800 123346961920 132835189760 134910739600 140967956480 143307673600 151811645440 154183702400 163489464320 166043987200 172685746688 176209945600 189764556800 197355139072 204361830400 212536303616 215857183360 216873779200 246693923840 265670379520 269821479200 281935912960 286615347200 303623290880 308367404800 332087974400 345371493376 352419891200 379529113600 394710278144 408723660800 425072607232 431714366720 493387847680 531340759040 539642958400 563871825920 573230694400 616734809600 664175948800 690742986752 704839782400 759058227200 789420556288 817447321600 863428733440 986775695360 1062681518080 1079285916800 1233469619200 1328351897600 1381485973504 1409679564800 1518116454400 1726857466880 1973551390720 2125363036160 2158571833600 2466939238400 2656703795200 2762971947008 2819359129600 3453714933760 3947102781440 4317143667200 4933878476800 5313407590400 5525943894016 6907429867520 8634287334400 9867756953600 10626815180800 13814859735040 17268574668800 19735513907200 27629719470080 34537149337600 69074298675200 138148597350400
- Sum of all divisors σ(n): 433533780029658
- Sum of proper divisors (its aliquot sum) s(n): 295385182679258
- 138148597350400 is an abundant number, because the sum of its proper divisors (295385182679258) is greater than itself. Its abundance is 157236585328858
Bases of 138148597350400
- Binary: 111110110100101001110100001001001000000000000002
- Hexadecimal: 0x7DA53A124000
- Base-36: 1CYWL7YYV4
Squares and roots of 138148597350400
- 138148597350400 squared (1381485973504002) is 19085034949882945900380160000
- 138148597350400 cubed (1381485973504003) is 2636570808709690536803405114128728064000000
-
The
square root of 138148597350400 is 11753663.1460323891 -
The
cube root of 138148597350400 is 51695.0341547683
Scales and comparisons
How big is 138148597350400?- 138,148,597,350,400 seconds is equal to 4,392,698 years, 3 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
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To count from 1 to 138,148,597,350,400 would take you about ten million, nine hundred eighty-one thousand, seven hundred forty-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 138148597350400 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138148597350400
- 138148597350400 backwards is 004053795841831
- The number of decimal digits it has is: 15
- The sum of 138148597350400's digits is 58
- More coming soon!
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The information we have on file for 138148597350400 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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