138561896448000
138,561,896,448,000 is an even composite number composed of five prime numbers multiplied together.
138561896448000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138561896448000:
217 × 32 × 53 × 193 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 19 × 137)See below for interesting mathematical facts about the number 138561896448000 from the Numbermatics database.
Names of 138561896448000
- Cardinal: 138561896448000 can be written as One hundred thirty-eight trillion, five hundred sixty-one billion, eight hundred ninety-six million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38561896448 × 1014
Factors of 138561896448000
Divisors of 138561896448000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 64 72 75 76 80 90 95 96 100 114 120 125 128 137 144 150 152 160 171 180 190 192 200 225 228 240 250 256 274 285 288 300 304 320 342 360 361 375 380 384 400 411 450 456 475 480 500 512 548 570 576 600 608 640 684 685 720 722 750 760 768 800 822 855 900 912 950 960 1000 1024 1083 1096 1125 1140 1152 1200 1216 1233 1280 1368 1370 1425 1440 1444 1500 1520 1536 1600 1644 1710 1800 1805 1824 1900 1920 2000 2048 2055 2166 2192 2250 2280 2304 2375 2400 2432 2466 2560 2603 2736 2740 2850 2880 2888 3000 3040 3072 3200 3249 3288 3420 3425 3600 3610 3648 3800 3840 4000 4096 4110 4275 4332 4384 4500 4560 4608 4750 4800 4864 4932 5120 5206 5415 5472 5480 5700 5760 5776 6000 6080 6144 6165 6400 6498 6576 6840 6850 6859 7125 7200 7220 7296 7600 7680 7809 8000 8192 8220 8550 8664 8768 9000 9025 9120 9216 9500 9600 9728 9864 10240 10275 10412 10830 10944 10960 11400 11520 11552 12000 12160 12288 12330 12800 12996 13015 13152 13680 13700 13718 14250 14400 14440 14592 15200 15360 15618 16000 16245 16384 16440 17100 17125 17328 17536 18000 18050 18240 18432 19000 19200 19456 19728 20480 20550 20577 20824 21375 21660 21888 21920 22800 23040 23104 23427 24000 24320 24576 24660 25600 25992 26030 26304 27075 27360 27400 27436 28500 28800 28880 29184 30400 30720 30825 31236 32000 32490 32768 32880 34200 34250 34295 34656 35072 36000 36100 36480 36864 38000 38400 38912 39045 39456 40960 41100 41154 41648 42750 43320 43776 43840 45125 45600 46080 46208 46854 48000 48640 49152 49320 49457 51200 51375 51984 52060 52608 54150 54720 54800 54872 57000 57600 57760 58368 60800 61440 61650 61731 62472 64000 64980 65075 65536 65760 68400 68500 68590 69312 70144 72000 72200 72960 73728 76000 76800 77824 78090 78912 81225 81920 82200 82308 83296 85500 86640 87552 87680 90250 91200 92160 92416 93708 96000 97280 98304 98640 98914 102400 102750 102885 103968 104120 105216 108300 109440 109600 109744 114000 115200 115520 116736 117135 121600 122880 123300 123462 124944 128000 129960 130150 131072 131520 135375 136800 137000 137180 138624 140288 144000 144400 145920 147456 148371 152000 153600 154125 155648 156180 157824 162450 163840 164400 164616 166592 171000 171475 173280 175104 175360 180500 182400 184320 184832 187416 192000 194560 195225 196608 197280 197828 204800 205500 205770 207936 208240 210432 216600 218880 219200 219488 228000 230400 231040 233472 234270 243200 245760 246600 246924 247285 249888 256000 259920 260300 263040 270750 273600 274000 274360 277248 280576 288000 288800 291840 294912 296742 304000 307200 308250 308655 311296 312360 315648 324900 325375 327680 328800 329232 333184 342000 342950 346560 350208 350720 361000 364800 368640 369664 374832 384000 389120 390450 393216 394560 395656 406125 409600 411000 411540 415872 416480 420864 433200 437760 438400 438976 445113 456000 460800 462080 466944 468540 486400 491520 493200 493848 494570 499776 512000 514425 519840 520600 526080 541500 547200 548000 548720 554496 561152 576000 577600 583680 585675 589824 593484 608000 614400 616500 617310 622592 624720 631296 649800 650750 655360 657600 658464 666368 684000 685900 693120 700416 701440 722000 729600 737280 739328 741855 749664 768000 778240 780900 789120 791312 812250 819200 822000 823080 831744 832960 841728 857375 866400 875520 876800 877952 890226 912000 921600 924160 933888 937080 939683 972800 976125 983040 986400 987696 989140 999552 1024000 1028850 1039680 1041200 1052160 1083000 1094400 1096000 1097440 1108992 1122304 1152000 1155200 1167360 1171350 1179648 1186968 1216000 1228800 1233000 1234620 1236425 1245184 1249440 1262592 1299600 1301500 1315200 1316928 1332736 1368000 1371800 1386240 1400832 1402880 1444000 1459200 1474560 1478656 1483710 1499328 1536000 1543275 1556480 1561800 1578240 1582624 1624500 1638400 1644000 1646160 1663488 1665920 1683456 1714750 1732800 1751040 1753600 1755904 1780452 1824000 1843200 1848320 1867776 1874160 1879366 1945600 1952250 1966080 1972800 1975392 1978280 1999104 2048000 2057700 2079360 2082400 2104320 2166000 2188800 2192000 2194880 2217984 2225565 2244608 2304000 2310400 2334720 2342700 2373936 2432000 2457600 2466000 2469240 2472850 2490368 2498880 2525184 2572125 2599200 2603000 2630400 2633856 2665472 2736000 2743600 2772480 2801664 2805760 2819049 2888000 2918400 2928375 2949120 2957312 2967420 2998656 3072000 3086550 3112960 3123600 3156480 3165248 3249000 3276800 3288000 3292320 3326976 3331840 3366912 3429500 3465600 3502080 3507200 3511808 3560904 3648000 3686400 3696640 3709275 3735552 3748320 3758732 3891200 3904500 3945600 3950784 3956560 3998208 4096000 4115400 4158720 4164800 4208640 4332000 4377600 4384000 4389760 4435968 4451130 4489216 4608000 4620800 4669440 4685400 4698415 4747872 4864000 4915200 4932000 4938480 4945700 4997760 5050368 5144250 5198400 5206000 5260800 5267712 5330944 5472000 5487200 5544960 5603328 5611520 5638098 5776000 5836800 5856750 5898240 5914624 5934840 5997312 6144000 6173100 6182125 6225920 6247200 6312960 6330496 6498000 6576000 6584640 6653952 6663680 6733824 6859000 6931200 7004160 7014400 7023616 7121808 7296000 7372800 7393280 7418550 7471104 7496640 7517464 7716375 7782400 7809000 7891200 7901568 7913120 7996416 8192000 8230800 8317440 8329600 8417280 8457147 8664000 8755200 8768000 8779520 8871936 8902260 8978432 9216000 9241600 9338880 9370800 9396830 9495744 9728000 9830400 9864000 9876960 9891400 9995520 10100736 10288500 10396800 10412000 10521600 10535424 10661888 10944000 10974400 11089920 11127825 11206656 11223040 11276196 11552000 11673600 11713500 11829248 11869680 11994624 12288000 12346200 12364250 12451840 12494400 12625920 12660992 12996000 13152000 13169280 13307904 13327360 13467648 13718000 13862400 14008320 14028800 14047232 14095245 14243616 14592000 14745600 14786560 14837100 14993280 15034928 15432750 15564800 15618000 15782400 15803136 15826240 15992832 16384000 16461600 16634880 16659200 16834560 16914294 17328000 17510400 17536000 17559040 17743872 17804520 17956864 18432000 18483200 18546375 18677760 18741600 18793660 18991488 19456000 19728000 19753920 19782800 19991040 20201472 20577000 20793600 20824000 21043200 21070848 21323776 21888000 21948800 22179840 22255650 22413312 22446080 22552392 23104000 23347200 23427000 23492075 23658496 23739360 23989248 24576000 24692400 24728500 24988800 25251840 25321984 25992000 26304000 26338560 26615808 26654720 26935296 27436000 27724800 28016640 28057600 28094464 28190490 28487232 29184000 29491200 29573120 29674200 29986560 30069856 30865500 31129600 31236000 31564800 31606272 31652480 31985664 32923200 33269760 33318400 33669120 33828588 34656000 35020800 35072000 35118080 35487744 35609040 36864000 36966400 37092750 37355520 37483200 37587320 37982976 38912000 39456000 39507840 39565600 39982080 40402944 41154000 41587200 41648000 42086400 42141696 42285735 42647552 43776000 43897600 44359680 44511300 44892160 45104784 46208000 46694400 46854000 46984150 47316992 47478720 47978496 49152000 49384800 49457000 49977600 50503680 50643968 51984000 52608000 52677120 53231616 53309440 53870592 54872000 55449600 55639125 56033280 56115200 56188928 56380980 56974464 58368000 59146240 59348400 59973120 60139712 61731000 62259200 62472000 63129600 63212544 63304960 63971328 65846400 66539520 66636800 67338240 67657176 69312000 70041600 70144000 70236160 70476225 70975488 71218080 73728000 73932800 74185500 74966400 75174640 75965952 77824000 78912000 79015680 79131200 79964160 80805888 82308000 83174400 83296000 84172800 84283392 84571470 85295104 87552000 87795200 88719360 89022600 89784320 90209568 92416000 93388800 93708000 93968300 94957440 95956992 98769600 98914000 99955200 101007360 101287936 103968000 105216000 105354240 106463232 106618880 109744000 110899200 111278250 112066560 112230400 112377856 112761960 113948928 116736000 117460375 118292480 118696800 119946240 120279424 123462000 124944000 126259200 126425088 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2957312000 2998656000 3006985600 3038638080 3070623744 3160627200 3165248000 3198566400 3241213952 3326976000 3366912000 3371335680 3382858800 3511808000 3548774400 3560904000 3608382720 3646365696 3758732000 3798297600 3838279680 3848941568 3950784000 3998208000 4040294400 4045602816 4051517440 4214169600 4228573500 4264755200 4330059264 4435968000 4495114240 4510478400 4557957120 4747872000 4797849600 4811176960 4861820928 5050368000 5057003520 5064396800 5117706240 5267712000 5323161600 5330944000 5412574080 5618892800 5638098000 5697446400 5773412352 5914624000 5997312000 6013971200 6077276160 6321254400 6330496000 6397132800 6482427904 6653952000 6733824000 6742671360 6765717600 7023616000 7121808000 7216765440 7292731392 7517464000 7596595200 7676559360 7697883136 7901568000 7996416000 8091205632 8103034880 8428339200 8457147000 8529510400 8660118528 8871936000 9020956800 9115914240 9495744000 9595699200 9622353920 9723641856 10100736000 10114007040 10128793600 10535424000 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48618209280 50570035200 50643968000 53231616000 54125740800 56188928000 56974464000 57734123520 58341851136 60139712000 60772761600 61583065088 63212544000 63971328000 67426713600 67657176000 69280948224 72167654400 72927313920 75965952000 76765593600 76978831360 81030348800 84283392000 86601185280 90209568000 91159142400 92374597632 95956992000 96223539200 97236418560 101140070400 101287936000 108251481600 112377856000 113948928000 115468247040 120279424000 121545523200 123166130176 126425088000 127942656000 135314352000 138561896448 144335308800 145854627840 151931904000 153957662720 162060697600 168566784000 173202370560 180419136000 182318284800 184749195264 191913984000 192447078400 202280140800 202575872000 216502963200 227897856000 230936494080 240558848000 243091046400 252850176000 270628704000 277123792896 288670617600 291709255680 303863808000 307915325440 337133568000 346404741120 360838272000 364636569600 369498390528 383827968000 384894156800 405151744000 433005926400 455795712000 461872988160 481117696000 486182092800 505700352000 541257408000 554247585792 577341235200 607727616000 615830650880 692809482240 721676544000 729273139200 769788313600 810303488000 866011852800 911591424000 923745976320 962235392000 1011400704000 1082514816000 1108495171584 1154682470400 1215455232000 1385618964480 1443353088000 1458546278400 1539576627200 1732023705600 1823182848000 1847491952640 1924470784000 2165029632000 2309364940800 2430910464000 2771237928960 2886706176000 3079153254400 3464047411200 3646365696000 3848941568000 4330059264000 4618729881600 5542475857920 5773412352000 6928094822400 7292731392000 7697883136000 8660118528000 9237459763200 11546824704000 13856189644800 15395766272000 17320237056000 23093649408000 27712379289600 34640474112000 46187298816000 69280948224000 138561896448000
- Sum of all divisors σ(n): 531158173116480
- Sum of proper divisors (its aliquot sum) s(n): 392596276668480
- 138561896448000 is an abundant number, because the sum of its proper divisors (392596276668480) is greater than itself. Its abundance is 254034380220480
Bases of 138561896448000
- Binary: 111111000000101011101001001111000000000000000002
- Hexadecimal: 0x7E05749E0000
- Base-36: 1D46GFKZK0
Squares and roots of 138561896448000
- 138561896448000 squared (1385618964480002) is 19199399147266275016704000000
- 138561896448000 cubed (1385618964480003) is 2660305156507329101147229118267392000000000
-
The
square root of 138561896448000 is 11771231.7302820949 -
The
cube root of 138561896448000 is 51746.5348342813
Scales and comparisons
How big is 138561896448000?- 138,561,896,448,000 seconds is equal to 4,405,839 years, 36 weeks, 5 days, 8 hours.
-
To count from 1 to 138,561,896,448,000 would take you about eleven million, fourteen thousand, five hundred ninety-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 138561896448000 cubic inches would be around 4312.2 feet tall.
Recreational maths with 138561896448000
- 138561896448000 backwards is 000844698165831
- The number of decimal digits it has is: 15
- The sum of 138561896448000's digits is 63
- More coming soon!
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The information we have on file for 138561896448000 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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