138047401094400
138,047,401,094,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138047401094400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
138047401094400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138047401094400:
28 × 37 × 52 × 7 × 11872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 1187 × 1187)See below for interesting mathematical facts about the number 138047401094400 from the Numbermatics database.
Names of 138047401094400
- Cardinal: 138047401094400 can be written as One hundred thirty-eight trillion, forty-seven billion, four hundred one million, ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.380474010944 × 1014
Factors of 138047401094400
Divisors of 138047401094400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 252 256 270 280 288 300 315 320 324 336 350 360 378 384 400 405 420 432 448 450 480 486 504 525 540 560 567 576 600 630 640 648 672 675 700 720 729 756 768 800 810 840 864 896 900 945 960 972 1008 1050 1080 1120 1134 1152 1187 1200 1215 1260 1280 1296 1344 1350 1400 1440 1458 1512 1575 1600 1620 1680 1701 1728 1792 1800 1890 1920 1944 2016 2025 2100 2160 2187 2240 2268 2304 2374 2400 2430 2520 2592 2688 2700 2800 2835 2880 2916 3024 3150 3200 3240 3360 3402 3456 3561 3600 3645 3780 3840 3888 4032 4050 4200 4320 4374 4480 4536 4725 4748 4800 4860 5040 5103 5184 5376 5400 5600 5670 5760 5832 5935 6048 6075 6300 6400 6480 6720 6804 6912 7122 7200 7290 7560 7776 8064 8100 8309 8400 8505 8640 8748 8960 9072 9450 9496 9600 9720 10080 10206 10368 10683 10800 10935 11200 11340 11520 11664 11870 12096 12150 12600 12960 13440 13608 14175 14244 14400 14580 15120 15309 15552 16128 16200 16618 16800 17010 17280 17496 17805 18144 18225 18900 18992 19200 19440 20160 20412 20736 21366 21600 21870 22400 22680 23328 23740 24192 24300 24927 25200 25515 25920 26880 27216 28350 28488 28800 29160 29675 30240 30618 31104 32049 32400 33236 33600 34020 34560 34992 35610 36288 36450 37800 37984 38880 40320 40824 41545 42525 42732 43200 43740 44800 45360 46656 47480 48384 48600 49854 50400 51030 51840 53415 54432 54675 56700 56976 57600 58320 59350 60480 61236 62208 64098 64800 66472 67200 68040 69984 71220 72576 72900 74781 75600 75968 76545 77760 80640 81648 83090 85050 85464 86400 87480 89025 90720 93312 94960 96147 97200 99708 100800 102060 103680 106830 108864 109350 113400 113952 116640 118700 120960 122472 124635 127575 128196 129600 132944 134400 136080 139968 142440 145152 145800 149562 151200 151936 153090 155520 160245 163296 166180 170100 170928 172800 174960 178050 181440 186624 189920 192294 194400 199416 201600 204120 207725 213660 217728 218700 224343 226800 227904 233280 237400 241920 244944 249270 255150 256392 259200 265888 267075 272160 279936 284880 288441 291600 299124 302400 303872 306180 311040 320490 326592 332360 340200 341856 349920 356100 362880 373905 379840 382725 384588 388800 398832 403200 408240 415450 427320 435456 437400 448686 453600 455808 466560 474800 480735 489888 498540 510300 512784 518400 531776 534150 544320 559872 569760 576882 583200 598248 604800 612360 623175 640980 653184 664720 673029 680400 683712 699840 712200 725760 747810 759680 765450 769176 777600 797664 801225 816480 830900 854640 865323 874800 897372 907200 911616 933120 949600 961470 979776 997080 1020600 1025568 1063552 1068300 1088640 1121715 1139520 1153764 1166400 1196496 1209600 1224720 1246350 1281960 1306368 1329440 1346058 1360800 1367424 1399680 1408969 1424400 1442205 1495620 1519360 1530900 1538352 1555200 1595328 1602450 1632960 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1972556600 2028915360 2054276802 2076775200 2130361128 2153692800 2219126175 2254350400 2282529780 2325988224 2367067920 2396656269 2422904400 2434698432 2524872448 2536144200 2584431360 2662951410 2705220480 2739035736 2769033600 2840481504 2853162225 2907485280 2958834900 3043373040 3081415203 3156090560 3195541692 3230539200 3246264576 3322840320 3381525600 3423794670 3550601880 3634356600 3652047648 3787308672 3804216300 3876647040 3945113200 3994427115 4057830720 4108553604 4153550400 4260722256 4307385600 4438252350 4508700800 4565059560 4651976448 4734135840 4793312538 4845808800 4869396864 5072288400 5135692005 5325902820 5410440960 5478071472 5538067200 5680963008 5706324450 5814970560 5917669800 6086746080 6162830406 6312181120 6391083384 6461078400 6657378525 6763051200 6847589340 7101203760 7189968807 7268713200 7304095296 7574617344 7608432600 7753294080 7890226400 7988854230 8115661440 8217107208 8307100800 8521444512 8559486675 8876504700 9017401600 9130119120 9468271680 9586625076 9691617600 9738793728 10144576800 10271384010 10651805640 10956142944 11361926016 11412648900 11629941120 11835339600 11983281345 12173492160 12325660812 12624362240 12782166768 12922156800 13314757050 13526102400 13695178680 14202407520 14379937614 14537426400 14608190592 15216865200 15407076015 15780452800 15977708460 16231322880 16434214416 16614201600 17042889024 17118973350 17753009400 18260238240 18936543360 19173250152 19383235200 19972135575 20289153600 20542768020 21303611280 21569906421 21912285888 22723852032 22825297800 23259882240 23670679200 23966562690 24346984320 24651321624 25564333536 25678460025 26629514100 27052204800 27390357360 28404815040 28759875228 29074852800 29216381184 30433730400 30814152030 31560905600 31955416920 32868428832 34085778048 34237946700 35506018800 35949844035 36520476480 37873086720 38346500304 38766470400 39944271150 40578307200 41085536040 42607222560 43139812842 43824571776 45650595600 47341358400 47933125380 48693968640 49302643248 51128667072 51356920050 53259028200 54780714720 56809630080 57519750456 58149705600 59916406725 60867460800 61628304060 63121811200 63910833840 65736857664 68171556096 68475893400 71012037600 71899688070 73040952960 76693000608 77035380075 79888542300 81156614400 82171072080 85214445120 86279625684 87649143552 91301191200 94682716800 95866250760 98605286496 102257334144 102713840100 106518056400 107849532105 109561429440 113619260160 115039500912 116299411200 119832813450 121734921600 123256608120 127821667680 131473715328 136951786800 142024075200 143799376140 146081905920 153386001216 154070760150 159777084600 164342144160 170428890240 172559251368 179749220175 182602382400 189365433600 191732501520 197210572992 204514668288 205427680200 213036112800 215699064210 219122858880 230079001824 239665626900 243469843200 246513216240 255643335360 262947430656 273903573600 284048150400 287598752280 306772002432 308141520300 319554169200 328684288320 340857780480 345118502736 359498440350 365204764800 383465003040 394421145984 410855360400 426072225600 431398128420 438245717760 460158003648 479331253800 493026432480 511286670720 539247660525 547807147200 568096300800 575197504560 613544004864 616283040600 639108338400 657368576640 690237005472 718996880700 730409529600 766930006080 788842291968 821710720800 852144451200 862796256840 920316007296 958662507600 986052864960 1022573341440 1078495321050 1095614294400 1150395009120 1232566081200 1278216676800 1314737153280 1380474010944 1437993761400 1533860012160 1643421441600 1704288902400 1725592513680 1840632014592 1917325015200 1972105729920 2156990642100 2191228588800 2300790018240 2465132162400 2556433353600 2760948021888 2875987522800 3067720024320 3286842883200 3451185027360 3834650030400 3944211459840 4313981284200 4601580036480 4930264324800 5112866707200 5521896043776 5751975045600 6573685766400 6902370054720 7669300060800 8627962568400 9203160072960 9860528649600 11503950091200 13804740109440 15338600121600 17255925136800 19721057299200 23007900182400 27609480218880 34511850273600 46015800364800 69023700547200 138047401094400
- Sum of all divisors σ(n): 586156914250880
- Sum of proper divisors (its aliquot sum) s(n): 448109513156480
- 138047401094400 is an abundant number, because the sum of its proper divisors (448109513156480) is greater than itself. Its abundance is 310062112062080
Bases of 138047401094400
- Binary: 111110110001101101010100100110111101101000000002
- Hexadecimal: 0x7D8DAA4DED00
- Base-36: 1CXM3MC000
Squares and roots of 138047401094400
- 138047401094400 squared (1380474010944002) is 19057084948918150317711360000
- 138047401094400 cubed (1380474010944003) is 2630781049633357232265250906167312384000000
-
The
square root of 138047401094400 is 11749357.4758111773 -
The
cube root of 138047401094400 is 51682.4085668605
Scales and comparisons
How big is 138047401094400?- 138,047,401,094,400 seconds is equal to 4,389,480 years, 18 weeks.
-
To count from 1 to 138,047,401,094,400 would take you about ten million, nine hundred seventy-three thousand, seven hundred 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 138047401094400 cubic inches would be around 4306.9 feet tall.
Recreational maths with 138047401094400
- 138047401094400 backwards is 004490104740831
- 138047401094400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138047401094400's digits is 45
- More coming soon!
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The information we have on file for 138047401094400 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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