138830929752320000
138,830,929,752,320,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138830929752320000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138830929752320000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138830929752320000:
211 × 54 × 13 × 193 × 3221 × 13421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 193 × 3221 × 13421)See below for interesting mathematical facts about the number 138830929752320000 from the Numbermatics database.
Names of 138830929752320000
- Cardinal: 138830929752320000 can be written as One hundred thirty-eight quadrillion, eight hundred thirty trillion, nine hundred twenty-nine billion, seven hundred fifty-two million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3883092975232 × 1017
Factors of 138830929752320000
Divisors of 138830929752320000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 193 200 208 250 256 260 320 325 386 400 416 500 512 520 625 640 650 772 800 832 965 1000 1024 1040 1250 1280 1300 1544 1600 1625 1664 1930 2000 2048 2080 2500 2509 2560 2600 3088 3200 3221 3250 3328 3860 4000 4160 4825 5000 5018 5120 5200 6176 6400 6442 6500 6656 7720 8000 8125 8320 9650 10000 10036 10240 10400 12352 12545 12800 12884 13000 13312 13421 15440 16000 16105 16250 16640 19300 20000 20072 20800 24125 24704 25090 25600 25768 26000 26624 26842 30880 32000 32210 32500 33280 38600 40000 40144 41600 41873 48250 49408 50180 51200 51536 52000 53684 61760 62725 64000 64420 65000 66560 67105 77200 80000 80288 80525 83200 83746 96500 98816 100360 103072 104000 107368 120625 123520 125450 128000 128840 130000 133120 134210 154400 160000 160576 161050 166400 167492 174473 193000 197632 200720 206144 208000 209365 214736 241250 247040 250900 256000 257680 260000 268420 308800 313625 320000 321152 322100 332800 334984 335525 348946 386000 395264 401440 402625 412288 416000 418730 429472 482500 494080 501800 515360 520000 536840 617600 621653 627250 640000 642304 644200 665600 669968 671050 697892 772000 802880 805250 824576 832000 837460 858944 872365 965000 988160 1003600 1030720 1040000 1046825 1073680 1235200 1243306 1254500 1280000 1284608 1288400 1339936 1342100 1395784 1544000 1568125 1605760 1610500 1649152 1664000 1674920 1677625 1717888 1744730 1930000 1976320 2007200 2013125 2061440 2080000 2093650 2147360 2470400 2486612 2509000 2569216 2576800 2590253 2679872 2684200 2791568 3088000 3108265 3136250 3211520 3221000 3298304 3328000 3349840 3355250 3435776 3489460 3860000 4014400 4026250 4122880 4160000 4187300 4294720 4361825 4940800 4973224 5018000 5138432 5153600 5180506 5234125 5359744 5368400 5583136 6176000 6216530 6272500 6423040 6442000 6596608 6699680 6710500 6871552 6978920 7720000 8028800 8052500 8081489 8245760 8320000 8374600 8388125 8589440 8723650 9881600 9946448 10036000 10307200 10361012 10468250 10719488 10736800 11166272 12352000 12433060 12545000 12846080 12884000 12951265 13399360 13421000 13743104 13957840 15440000 15541325 16057600 16105000 16162978 16491520 16640000 16749200 16776250 17178880 17447300 19892896 20072000 20614400 20722024 20936500 21438976 21473600 21809125 22332544 24704000 24866120 25090000 25692160 25768000 25902530 26170625 26798720 26842000 27486208 27915680 30880000 31082650 32115200 32210000 32325956 32983040 33498400 33552500 33673289 34357760 34894600 39785792 40144000 40407445 41228800 41444048 41873000 42877952 42947200 43229041 43618250 44665088 49408000 49732240 50180000 51536000 51805060 52341250 53597440 53684000 55831360 61760000 62165300 64230400 64420000 64651912 64756325 66996800 67105000 67346578 68715520 69789200 77706625 79571584 80288000 80814890 82457600 82888096 83746000 85755904 85894400 86458082 87236500 89330176 99464480 100360000 103072000 103610120 104682500 107194880 107368000 109045625 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994644800 1010186125 1030720000 1034430592 1036101200 1071948800 1073680000 1077545248 1080726025 1116627200 1123955066 1243306000 1273145344 1293038240 1295126500 1326209536 1339936000 1346931560 1383329312 1395784000 1554132500 1591431680 1605760000 1616297800 1618908125 1657761920 1674920000 1683664450 1717888000 1729161640 1744730000 1786603520 1989289600 2020372250 2061440000 2068861184 2072202400 2143897600 2147360000 2155090496 2161452050 2233254400 2247910132 2486612000 2586076480 2590253000 2652419072 2679872000 2693863120 2766658624 2791568000 2809887665 3108265000 3182863360 3211520000 3232595600 3237816250 3315523840 3349840000 3367328900 3435776000 3458323280 3489460000 3978579200 4040744500 4122880000 4137722368 4144404800 4209161125 4294720000 4310180992 4322904100 4466508800 4495820264 4973224000 5050930625 5172152960 5180506000 5304838144 5359744000 5387726240 5403630125 5533317248 5583136000 5619775330 6216530000 6365726720 6465191200 6475632500 6631047680 6699680000 6734657800 6916646560 6978920000 7957158400 8081489000 8275444736 8288809600 8343204913 8418322250 8589440000 8620361984 8645808200 8933017600 8991640528 9946448000 10101861250 10344305920 10361012000 10719488000 10775452480 10807260250 11066634496 11166272000 11239550660 12433060000 12930382400 12951265000 13262095360 13399360000 13469315600 13833293120 13957840000 14049438325 15914316800 16162978000 16550889472 16577619200 16686409826 16836644500 17178880000 17240723968 17291616400 17983281056 19892896000 20203722500 20688611840 20722024000 21045805625 21550904960 21614520500 22133268992 22332544000 22479101320 24866120000 25860764800 25902530000 26524190720 26798720000 26938631200 27018150625 27666586240 27915680000 28098876650 31828633600 32325956000 33155238400 33372819652 33673289000 34481447936 34583232800 35966562112 39785792000 40407445000 41377223680 41444048000 41716024565 42091611250 43101809920 43229041000 44266537984 44665088000 44958202640 49732240000 51721529600 51805060000 53597440000 53877262400 54036301250 55333172480 55831360000 56197753300 64651912000 66310476800 66745639304 67346578000 68962895872 69166465600 70247191625 71933124224 79571584000 80814890000 82754447360 82888096000 83432049130 84183222500 86203619840 86458082000 88533075968 89916405280 99464480000 103443059200 103610120000 107754524800 108072602500 108461663869 110666344960 111662720000 112395506600 129303824000 132620953600 133491278608 134693156000 138332931200 140494383250 143866248448 159143168000 161629780000 165776192000 166864098260 168366445000 172407239680 172916164000 179832810560 198928960000 206886118400 207220240000 208580122825 215509049600 216145205000 216923327738 221332689920 223325440000 224791013200 258607648000 266982557216 269386312000 276665862400 280988766500 287732496896 323259560000 331552384000 333728196520 336732890000 344814479360 345832328000 351235958125 359665621120 397857920000 413772236800 414440480000 417160245650 431018099200 432290410000 433846655476 442665379840 449582026400 517215296000 533965114432 538772624000 542308319345 553331724800 561977533000 575464993792 646519120000 663104768000 667456393040 673465780000 691664656000 702471916250 719331242240 795715840000 828880960000 834320491300 862036198400 864580820000 867693310952 899164052800 1034430592000 1042900614125 1067930228864 1077545248000 1084616638690 1106663449600 1123955066000 1150929987584 1293038240000 1334912786080 1346931560000 1383329312000 1404943832500 1438662484480 1657761920000 1668640982600 1724072396800 1729161640000 1735386621904 1798328105600 2068861184000 2085801228250 2135860457728 2155090496000 2169233277380 2213326899200 2247910132000 2586076480000 2669825572160 2693863120000 2711541596725 2766658624000 2809887665000 2877324968960 3315523840000 3337281965200 3458323280000 3470773243808 3596656211200 4171602456500 4271720915456 4310180992000 4338466554760 4495820264000 5172152960000 5214503070625 5339651144320 5387726240000 5423083193450 5533317248000 5619775330000 5754649937920 6674563930400 6916646560000 6941546487616 7193312422400 8343204913000 8543441830912 8620361984000 8676933109520 8991640528000 10344305920000 10429006141250 10679302288640 10775452480000 10846166386900 11066634496000 11239550660000 13349127860800 13557707983625 13833293120000 13883092975232 14386624844800 16686409826000 17086883661824 17353866219040 17983281056000 20858012282500 21358604577280 21550904960000 21692332773800 22479101320000 26698255721600 27115415967250 27666586240000 27766185950464 28773249689600 33372819652000 34707732438080 35966562112000 41716024565000 42717209154560 43101809920000 43384665547600 44958202640000 53396511443200 54230831934500 55333172480000 55532371900928 66745639304000 67788539918125 69415464876160 71933124224000 83432049130000 85434418309120 86769331095200 89916405280000 106793022886400 108461663869000 111064743801856 133491278608000 135577079836250 138830929752320 143866248448000 166864098260000 173538662190400 179832810560000 213586045772800 216923327738000 222129487603712 266982557216000 271154159672500 277661859504640 333728196520000 347077324380800 359665621120000 427172091545600 433846655476000 533965114432000 542308319345000 555323719009280 667456393040000 694154648761600 719331242240000 867693310952000 1067930228864000 1084616638690000 1110647438018560 1334912786080000 1388309297523200 1735386621904000 2135860457728000 2169233277380000 2669825572160000 2776618595046400 3470773243808000 4338466554760000 5339651144320000 5553237190092800 6941546487616000 8676933109520000 10679302288640000 13883092975232000 17353866219040000 27766185950464000 34707732438080000 69415464876160000 138830929752320000
- Sum of all divisors σ(n): 375644882004472080
- Sum of proper divisors (its aliquot sum) s(n): 236813952252152080
- 138830929752320000 is an abundant number, because the sum of its proper divisors (236813952252152080) is greater than itself. Its abundance is 97983022499832080
Bases of 138830929752320000
- Binary: 1111011010011100111111110101110111011100101101000000000002
- Hexadecimal: 0x1ED39FEBBB96800
- Base-36: 11YZGGNU5CE8
Squares and roots of 138830929752320000
- 138830929752320000 squared (1388309297523200002) is 19274027055893610576545382400000000
- 138830929752320000 cubed (1388309297523200003) is 2675831096241080916195902158198871687168000000000000
-
The
square root of 138830929752320000 is 372600227.7942406197 -
The
cube root of 138830929752320000 is 517800.0372975677
Scales and comparisons
How big is 138830929752320000?- 138,830,929,752,320,000 seconds is equal to 4,414,394,133 years, 44 weeks, 5 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,830,929,752,320,000 would take you about thirteen billion, two hundred forty-three million, one hundred eighty-two thousand, four hundred one 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 138830929752320000 cubic inches would be around 43150 feet tall.
Recreational maths with 138830929752320000
- 138830929752320000 backwards is 000023257929038831
- The number of decimal digits it has is: 18
- The sum of 138830929752320000's digits is 62
- More coming soon!
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The information we have on file for 138830929752320000 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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