138524422741120
138,524,422,741,120 is an even composite number composed of six prime numbers multiplied together.
138524422741120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138524422741120:
27 × 5 × 132 × 172 × 1092 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 17 × 17 × 109 × 109 × 373)See below for interesting mathematical facts about the number 138524422741120 from the Numbermatics database.
Names of 138524422741120
- Cardinal: 138524422741120 can be written as One hundred thirty-eight trillion, five hundred twenty-four billion, four hundred twenty-two million, seven hundred forty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3852442274112 × 1014
Factors of 138524422741120
Divisors of 138524422741120
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 109 128 130 136 160 169 170 208 218 221 260 272 289 320 338 340 373 416 436 442 520 544 545 578 640 676 680 746 832 845 872 884 1040 1088 1090 1105 1156 1352 1360 1417 1445 1492 1664 1690 1744 1768 1853 1865 2080 2176 2180 2210 2312 2704 2720 2834 2873 2890 2984 3380 3488 3536 3706 3730 3757 4160 4360 4420 4624 4849 5408 5440 5668 5746 5780 5968 6341 6760 6976 7072 7085 7412 7460 7514 8320 8720 8840 9248 9265 9698 10816 10880 11336 11492 11560 11881 11936 12682 13520 13952 14144 14170 14365 14824 14920 15028 17440 17680 18421 18496 18530 18785 19396 21632 22672 22984 23120 23762 23872 24089 24245 25364 27040 28288 28340 28730 29648 29840 30056 31501 31705 34880 35360 36842 36992 37060 37570 38792 40657 45344 45968 46240 47524 47744 48178 48490 48841 50728 54080 56680 57460 59296 59405 59680 60112 63002 63037 63410 69760 70720 73684 74120 75140 77584 81314 82433 90688 91936 92105 92480 95048 96356 96980 97682 101456 107797 108160 113360 114920 118592 118810 119360 120224 120445 126004 126074 126820 141440 147368 148240 150280 154453 155168 157505 162628 164866 181376 183872 184210 184960 190096 192712 193960 195364 201977 202912 203285 215594 226720 229840 237184 237620 238720 240448 240890 244205 252008 252148 253640 294736 296480 300560 308906 310336 313157 315010 315185 325256 329732 367744 368420 380192 385424 387920 390728 403954 405824 406570 409513 412165 431188 453440 459680 475240 480896 481780 488410 504016 504296 507280 528541 538985 589472 592960 601120 617812 620672 626314 630020 630370 650512 659464 691169 736840 760384 770848 772265 775840 781456 807908 811648 813140 819026 824330 862376 906880 919360 950480 963560 976820 1008032 1008592 1009885 1014560 1057082 1071629 1077970 1178944 1185920 1202240 1235624 1252628 1260040 1260740 1301024 1318928 1382338 1401361 1473680 1520768 1541696 1544530 1551680 1562912 1565785 1615816 1626280 1638052 1648660 1724752 1838720 1900960 1927120 1953640 2007889 2016064 2017184 2019770 2029120 2047565 2114164 2143258 2155940 2357888 2404480 2471248 2505256 2520080 2521480 2602048 2625701 2637856 2642705 2764676 2802722 2947360 3083392 3089060 3103360 3125824 3131570 3231632 3252560 3276104 3297320 3433609 3449504 3455845 3801920 3854240 3907280 4015778 4032128 4034368 4039540 4058240 4095130 4228328 4286516 4311880 4431613 4942496 5010512 5040160 5042960 5204096 5251402 5275712 5285410 5323669 5358145 5529352 5605444 5894720 6178120 6251648 6263140 6463264 6505120 6552208 6594640 6867218 6871033 6899008 6911690 7006805 7603840 7708480 7814560 8031556 8068736 8079080 8190260 8456656 8573032 8623760 8863226 8985197 9884992 10021024 10039445 10080320 10085920 10502804 10551424 10570820 10647338 10716290 11058704 11210888 11749873 11789440 12356240 12526280 12926528 13010240 13104416 13128505 13189280 13734436 13742066 13798016 13823380 14013610 15416960 15629120 16063112 16158160 16380520 16913312 17146064 17168045 17247520 17726452 17970394 18217693 19769984 20042048 20078890 20160640 20171840 21005608 21141640 21294676 21432580 22117408 22158065 22421776 23499746 24712480 25052560 25853056 26020480 26208832 26257010 26378560 26618345 27468872 27484132 27646760 28027220 31258240 32126224 32316320 32761040 33826624 34134113 34292128 34336090 34355165 34495040 35452904 35940788 36435386 40084096 40157780 40343680 42011216 42283280 42589352 42865160 44234816 44316130 44636917 44843552 44925985 46999492 49424960 50105120 52417664 52514020 52757120 53236690 54937744 54968264 55293520 56054440 57610969 58749365 64252448 64632640 65522080 67653248 68268226 68584256 68672180 68710330 68990080 70905808 71881576 72870772 75337421 80315560 84022432 84566560 85178704 85730320 88469632 88632260 89273834 89687104 89851970 91088465 93998984 98849920 100210240 105028040 106473380 109875488 109936528 110587040 112108880 115221938 116807561 117498730 128504896 129265280 131044160 136536452 137168512 137344360 137420660 141811616 143763152 145741544 150674842 152748349 160631120 168044864 169133120 170357408 170670565 171460640 177264520 178547668 179374208 179703940 182176930 187997968 200420480 210056080 212946760 219750976 219873056 221174080 223184585 224217760 230443876 233615122 234997460 257009792 262088320 273072904 274688720 274841320 283623232 287526304 288054845 291483088 301349684 305496698 321262240 336089728 338266240 340714816 341341130 342921280 354529040 357095336 359407880 364353860 375995936 376687105 420112160 425893520 439501952 439746112 442348160 446369170 448435520 460887752 467230244 469994920 546145808 549377440 549682640 567246464 575052608 576109690 580279921 582966176 584037805 602699368 610993396 642524480 681429632 682682260 685842560 709058080 714190672 718815760 728707720 748942597 751991872 753374210 763741745 840224320 851787040 879492224 892738340 896871040 921775504 934460488 939989840 979386473 1092291616 1098754880 1099365280 1150105216 1152219380 1160559842 1165932352 1168075610 1205398736 1221986792 1280736157 1285048960 1365364520 1418116160 1428381344 1437631520 1457415440 1497885194 1503983744 1506748420 1527483490 1680448640 1703574080 1785476680 1843551008 1868920976 1879979680 1958772946 1985728537 2184583232 2197509760 2198730560 2304438760 2321119684 2331864704 2336151220 2410797472 2443973584 2561472314 2730729040 2836232320 2856762688 2875263040 2901399605 2914830880 2995770388 3013496840 3054966980 3407148160 3570953360 3687102016 3737841952 3744712985 3759959360 3917545892 3971457074 4369166464 4397461120 4608877520 4642239368 4672302440 4821594944 4887947168 4896932365 5122944628 5461458080 5713525376 5750526080 5802799210 5829661760 5991540776 6026993680 6109933960 6403680785 7141906720 7374204032 7475683904 7489425970 7519918720 7835091784 7942914148 9217755040 9284478736 9344604880 9643189888 9775894336 9793864730 9928642685 10245889256 10922916160 11605598420 11659323520 11983081552 12053987360 12219867920 12732024149 12807361570 14283813440 14951367808 14978851940 15670183568 15885828296 16649570041 18435510080 18568957472 18689209760 19551788672 19587729460 19857285370 20491778512 21845832320 23211196840 23966163104 24107974720 24439735840 25464048298 25614723140 28567626880 29957703880 31340367136 31771656592 33299140082 36871020160 37137914944 37378419520 39175458920 39714570740 40983557024 46422393680 47932326208 48215949440 48879471680 50928096596 51229446280 59915407760 62680734272 63543313184 63660120745 66598280164 74275829888 74756839040 78350917840 79429141480 81967114048 83247850205 92844787360 95864652416 97758943360 101856193192 102458892560 119830815520 125361468544 127086626368 127320241490 133196560328 156701835680 158858282960 163934228096 166495700410 185689574720 203712386384 204917785120 216444410533 239661631040 254173252736 254640482980 266393120656 313403671360 317716565920 332991400820 371379149440 407424772768 409835570240 432888821066 479323262080 509280965960 532786241312 626807342720 635433131840 665982801640 814849545536 819671140480 865777642132 1018561931920 1065572482624 1082222052665 1270866263680 1331965603280 1629699091072 1731555284264 2037123863840 2131144965248 2164444105330 2663931206560 3463110568528 4074247727680 4328888210660 5327862413120 6926221137056 8148495455360 8657776421320 10655724826240 13852442274112 17315552842640 27704884548224 34631105685280 69262211370560 138524422741120
- Sum of all divisors σ(n): 385485370813620
- Sum of proper divisors (its aliquot sum) s(n): 246960948072500
- 138524422741120 is an abundant number, because the sum of its proper divisors (246960948072500) is greater than itself. Its abundance is 108436525331380
Bases of 138524422741120
- Binary: 111110111111100101110110000001010011100100000002
- Hexadecimal: 0x7DFCBB029C80
- Base-36: 1D3P8OPE9S
Squares and roots of 138524422741120
- 138524422741120 squared (1385244227411202) is 19189015695760523814538854400
- 138524422741120 cubed (1385244227411203) is 2658147322225517724268269411733192572928000
-
The
square root of 138524422741120 is 11769639.8730428451 -
The
cube root of 138524422741120 is 51741.8695081331
Scales and comparisons
How big is 138524422741120?- 138,524,422,741,120 seconds is equal to 4,404,648 years, 8 weeks, 1 day, 20 hours, 58 minutes, 40 seconds.
-
To count from 1 to 138,524,422,741,120 would take you about eleven million, eleven thousand, six hundred twenty 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 138524422741120 cubic inches would be around 4311.8 feet tall.
Recreational maths with 138524422741120
- 138524422741120 backwards is 021147224425831
- The number of decimal digits it has is: 15
- The sum of 138524422741120's digits is 46
- More coming soon!
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"Number 138524422741120 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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The information we have on file for 138524422741120 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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