138356205120
138,356,205,120 is an even composite number composed of six prime numbers multiplied together.
138356205120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138356205120:
26 × 32 × 5 × 7 × 461 × 14887
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 461 × 14887)See below for interesting mathematical facts about the number 138356205120 from the Numbermatics database.
Names of 138356205120
- Cardinal: 138356205120 can be written as One hundred thirty-eight billion, three hundred fifty-six million, two hundred five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3835620512 × 1011
Factors of 138356205120
Divisors of 138356205120
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 192 210 224 240 252 280 288 315 320 336 360 420 448 461 480 504 560 576 630 672 720 840 922 960 1008 1120 1260 1344 1383 1440 1680 1844 2016 2240 2305 2520 2766 2880 3227 3360 3688 4032 4149 4610 5040 5532 6454 6720 6915 7376 8298 9220 9681 10080 11064 12908 13830 14752 14887 16135 16596 18440 19362 20160 20745 22128 25816 27660 29043 29504 29774 32270 33192 36880 38724 41490 44256 44661 48405 51632 55320 58086 59548 64540 66384 73760 74435 77448 82980 88512 89322 96810 103264 104209 110640 116172 119096 129080 132768 133983 145215 147520 148870 154896 165960 178644 193620 206528 208418 221280 223305 232344 238192 258160 265536 267966 290430 297740 309792 312627 331920 357288 387240 416836 442560 446610 464688 476384 516320 521045 535932 580860 595480 619584 625254 663840 669915 714576 774480 833672 893220 929376 937881 952768 1032640 1042090 1071864 1161720 1190960 1250508 1327680 1339830 1429152 1548960 1563135 1667344 1786440 1858752 1875762 2084180 2143728 2323440 2381920 2501016 2679660 2858304 3097920 3126270 3334688 3572880 3751524 4168360 4287456 4646880 4689405 4763840 5002032 5359320 6252540 6669376 6862907 7145760 7503048 8336720 8574912 9293760 9378810 10004064 10718640 12505080 13725814 14291520 15006096 16673440 18757620 20008128 20588721 21437280 25010160 27451628 30012192 33346880 34314535 37515240 41177442 42874560 48040349 50020320 54903256 60024384 61766163 68629070 75030480 82354884 96080698 100040640 102943605 109806512 123532326 137258140 144121047 150060960 164709768 192161396 205887210 219613024 240201745 247064652 274516280 288242094 300121920 308830815 329419536 384322792 411774420 432363141 439226048 480403490 494129304 549032560 576484188 617661630 658839072 720605235 768645584 823548840 864726282 960806980 988258608 1098065120 1152968376 1235323260 1317678144 1441210470 1537291168 1647097680 1729452564 1921613960 1976517216 2161815705 2196130240 2305936752 2470646520 2882420940 3074582336 3294195360 3458905128 3843227920 3953034432 4323631410 4611873504 4941293040 5764841880 6588390720 6917810256 7686455840 8647262820 9223747008 9882586080 11529683760 13835620512 15372911680 17294525640 19765172160 23059367520 27671241024 34589051280 46118735040 69178102560 138356205120
- Sum of all divisors σ(n): 545088031488
- Sum of proper divisors (its aliquot sum) s(n): 406731826368
- 138356205120 is an abundant number, because the sum of its proper divisors (406731826368) is greater than itself. Its abundance is 268375621248
Bases of 138356205120
- Binary: 100000001101101010110000100110010000002
- Hexadecimal: 0x2036AC2640
- Base-36: 1RK5PN40
Squares and roots of 138356205120
- 138356205120 squared (1383562051202) is 19142439495207514214400
- 138356205120 cubed (1383562051203) is 2648475285296120093612842057728000
-
The
square root of 138356205120 is 371962.6394142293 -
The
cube root of 138356205120 is 5172.0916717261
Scales and comparisons
How big is 138356205120?- 138,356,205,120 seconds is equal to 4,399 years, 15 weeks, 3 days, 23 hours, 12 minutes.
-
To count from 1 to 138,356,205,120 would take you about eight thousand, seven hundred ninety-eight 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 138356205120 cubic inches would be around 431 feet tall.
Recreational maths with 138356205120
- 138356205120 backwards is 021502653831
- 138356205120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138356205120's digits is 36
- More coming soon!
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