138834375840000
138,834,375,840,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138834375840000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 945 divisors.
138834375840000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred forty-five divisors.
Prime factorization of 138834375840000:
28 × 36 × 54 × 10912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 1091 × 1091)See below for interesting mathematical facts about the number 138834375840000 from the Numbermatics database.
Names of 138834375840000
- Cardinal: 138834375840000 can be written as One hundred thirty-eight trillion, eight hundred thirty-four billion, three hundred seventy-five million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 1.3883437584 × 1014
Factors of 138834375840000
Divisors of 138834375840000
- Number of divisors d(n): 945
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 486 500 540 576 600 625 640 648 675 720 729 750 768 800 810 864 900 960 972 1000 1080 1091 1125 1152 1200 1215 1250 1280 1296 1350 1440 1458 1500 1600 1620 1728 1800 1875 1920 1944 2000 2025 2160 2182 2250 2304 2400 2430 2500 2592 2700 2880 2916 3000 3200 3240 3273 3375 3456 3600 3645 3750 3840 3888 4000 4050 4320 4364 4500 4800 4860 5000 5184 5400 5455 5625 5760 5832 6000 6075 6400 6480 6546 6750 6912 7200 7290 7500 7776 8000 8100 8640 8728 9000 9600 9720 9819 10000 10125 10368 10800 10910 11250 11520 11664 12000 12150 12960 13092 13500 14400 14580 15000 15552 16000 16200 16365 16875 17280 17456 18000 18225 19200 19440 19638 20000 20250 20736 21600 21820 22500 23328 24000 24300 25920 26184 27000 27275 28800 29160 29457 30000 30375 31104 32000 32400 32730 33750 34560 34912 36000 36450 38880 39276 40000 40500 43200 43640 45000 46656 48000 48600 49095 50625 51840 52368 54000 54550 57600 58320 58914 60000 60750 62208 64800 65460 67500 69824 72000 72900 77760 78552 80000 81000 81825 86400 87280 88371 90000 91125 93312 96000 97200 98190 101250 103680 104736 108000 109100 116640 117828 120000 121500 129600 130920 135000 136375 139648 144000 145800 147285 151875 155520 157104 160000 162000 163650 172800 174560 176742 180000 182250 186624 194400 196380 202500 209472 216000 218200 233280 235656 240000 243000 245475 259200 261840 265113 270000 272750 279296 288000 291600 294570 303750 311040 314208 324000 327300 349120 353484 360000 364500 388800 392760 405000 409125 418944 432000 436400 441855 455625 466560 471312 480000 486000 490950 518400 523680 530226 540000 545500 583200 589140 607500 628416 648000 654600 681875 698240 706968 720000 729000 736425 777600 785520 795339 810000 818250 837888 864000 872800 883710 911250 933120 942624 972000 981900 1047360 1060452 1080000 1091000 1166400 1178280 1190281 1215000 1227375 1256832 1296000 1309200 1325565 1363750 1396480 1413936 1440000 1458000 1472850 1555200 1571040 1590678 1620000 1636500 1745600 1767420 1822500 1885248 1944000 1963800 2045625 2094720 2120904 2160000 2182000 2209275 2332800 2356560 2380562 2430000 2454750 2513664 2592000 2618400 2651130 2727500 2827872 2916000 2945700 3142080 3181356 3240000 3273000 3491200 3534840 3570843 3645000 3682125 3770496 3888000 3927600 3976695 4091250 4189440 4241808 4320000 4364000 4418550 4665600 4713120 4761124 4860000 4909500 5236800 5302260 5455000 5655744 5832000 5891400 5951405 6136875 6284160 6362712 6480000 6546000 6627825 6982400 7069680 7141686 7290000 7364250 7540992 7776000 7855200 7953390 8182500 8483616 8728000 8837100 9426240 9522248 9720000 9819000 10473600 10604520 10712529 10910000 11046375 11311488 11664000 11782800 11902810 12273750 12568320 12725424 12960000 13092000 13255650 14139360 14283372 14580000 14728500 15710400 15906780 16365000 16967232 17456000 17674200 17854215 18410625 18852480 19044496 19440000 19638000 19883475 20947200 21209040 21425058 21820000 22092750 22622976 23328000 23565600 23805620 24547500 25450848 26184000 26511300 28278720 28566744 29160000 29457000 29757025 31420800 31813560 32137587 32730000 33139125 33934464 34912000 35348400 35708430 36821250 37704960 38088992 38880000 39276000 39766950 42418080 42850116 43640000 44185500 47131200 47611240 49095000 50901696 52368000 53022600 53562645 55231875 56557440 57133488 58320000 58914000 59514050 62841600 63627120 64275174 65460000 66278250 67868928 70696800 71416860 73642500 76177984 78552000 79533900 84836160 85700232 87280000 88371000 89271075 94262400 95222480 96412761 98190000 99417375 101803392 104736000 106045200 107125290 110463750 113114880 114266976 116640000 117828000 119028100 127254240 128550348 130920000 132556500 141393600 142833720 147285000 148785125 152355968 157104000 159067800 160687935 165695625 169672320 171400464 174560000 176742000 178542150 188524800 190444960 192825522 196380000 198834750 203606784 212090400 214250580 220927500 228533952 235656000 238056200 254508480 257100696 261840000 265113000 267813225 282787200 285667440 289238283 294570000 297570250 304711936 314208000 318135600 321375870 331391250 339344640 342800928 353484000 357084300 380889920 385651044 392760000 397669500 424180800 428501160 441855000 446355375 457067904 471312000 476112400 482063805 497086875 509016960 514201392 523680000 530226000 535626450 565574400 571334880 578476566 589140000 595140500 636271200 642751740 662782500 685601856 706968000 714168600 743925625 761779840 771302088 785520000 795339000 803439675 848361600 857002320 867714849 883710000 892710750 914135808 942624000 952224800 964127610 994173750 1018033920 1028402784 1060452000 1071252900 1142669760 1156953132 1178280000 1190281000 1272542400 1285503480 1325565000 1339066125 1371203712 1413936000 1428337200 1446191415 1487851250 1523559680 1542604176 1571040000 1590678000 1606879350 1696723200 1714004640 1735429698 1767420000 1785421500 1904449600 1928255220 1988347500 2056805568 2120904000 2142505800 2231776875 2285339520 2313906264 2356560000 2380562000 2410319025 2545084800 2571006960 2651130000 2678132250 2742407424 2827872000 2856674400 2892382830 2975702500 3085208352 3181356000 3213758700 3428009280 3470859396 3534840000 3570843000 3808899200 3856510440 3976695000 4017198375 4113611136 4241808000 4285011600 4338574245 4463553750 4570679040 4627812528 4713120000 4761124000 4820638050 5090169600 5142013920 5302260000 5356264500 5713348800 5784765660 5951405000 6170416704 6362712000 6427517400 6695330625 6856018560 6941718792 7069680000 7141686000 7230957075 7617798400 7713020880 7953390000 8034396750 8227222272 8483616000 8570023200 8677148490 8927107500 9255625056 9522248000 9641276100 10284027840 10604520000 10712529000 11426697600 11569531320 11902810000 12051595125 12340833408 12725424000 12855034800 13390661250 13712037120 13883437584 14139360000 14283372000 14461914150 15426041760 15906780000 16068793500 17140046400 17354296980 17854215000 18511250112 19044496000 19282552200 20085991875 20568055680 21209040000 21425058000 21692871225 22853395200 23139062640 23805620000 24103190250 24681666816 25450848000 25710069600 26781322500 27766875168 28566744000 28923828300 30852083520 31813560000 32137587000 34280092800 34708593960 35708430000 36154785375 37022500224 38088992000 38565104400 40171983750 41136111360 42418080000 42850116000 43385742450 46278125280 47611240000 48206380500 51420139200 53562645000 55533750336 57133488000 57847656600 60257975625 61704167040 63627120000 64275174000 68560185600 69417187920 71416860000 72309570750 74045000448 77130208800 80343967500 85700232000 86771484900 92556250560 95222480000 96412761000 102840278400 107125290000 108464356125 111067500672 114266976000 115695313200 120515951250 123408334080 127254240000 128550348000 138834375840 142833720000 144619141500 154260417600 160687935000 171400464000 173542969800 180773926875 185112501120 190444960000 192825522000 205680556800 214250580000 216928712250 222135001344 231390626400 241031902500 257100696000 277668751680 285667440000 289238283000 308520835200 321375870000 342800928000 347085939600 361547853750 370225002240 385651044000 428501160000 433857424500 462781252800 482063805000 514201392000 542321780625 555337503360 571334880000 578476566000 617041670400 642751740000 694171879200 723095707500 771302088000 857002320000 867714849000 925562505600 964127610000 1028402784000 1084643561250 1110675006720 1156953132000 1285503480000 1388343758400 1446191415000 1542604176000 1714004640000 1735429698000 1851125011200 1928255220000 2169287122500 2313906264000 2571006960000 2776687516800 2892382830000 3085208352000 3470859396000 3856510440000 4338574245000 4627812528000 5142013920000 5553375033600 5784765660000 6941718792000 7713020880000 8677148490000 9255625056000 11569531320000 13883437584000 15426041760000 17354296980000 23139062640000 27766875168000 34708593960000 46278125280000 69417187920000 138834375840000
- Sum of all divisors σ(n): 519684602443699
- Sum of proper divisors (its aliquot sum) s(n): 380850226603699
- 138834375840000 is an abundant number, because the sum of its proper divisors (380850226603699) is greater than itself. Its abundance is 242015850763699
Bases of 138834375840000
- Binary: 111111001000100111001011010011110010001000000002
- Hexadecimal: 0x7E44E5A79100
- Base-36: 1D7NMQS000
Squares and roots of 138834375840000
- 138834375840000 squared (1388343758400002) is 19274983914882375705600000000
- 138834375840000 cubed (1388343758400003) is 2676030361148734318103355592704000000000000
-
138834375840000 is a
perfect square number . Itssquare root is 11782800 -
The
cube root of 138834375840000 is 51780.4321572377
Scales and comparisons
How big is 138834375840000?- 138,834,375,840,000 seconds is equal to 4,414,503 years, 36 weeks, 6 days.
-
To count from 1 to 138,834,375,840,000 would take you about eleven million, thirty-six thousand, two hundred fifty-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 138834375840000 cubic inches would be around 4315 feet tall.
Recreational maths with 138834375840000
- 138834375840000 backwards is 000048573438831
- 138834375840000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138834375840000's digits is 54
- More coming soon!
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The information we have on file for 138834375840000 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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