138536784855040
138,536,784,855,040 is an even composite number composed of five prime numbers multiplied together.
138536784855040 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138536784855040:
215 × 5 × 112 × 13 × 537547
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 13 × 537547)See below for interesting mathematical facts about the number 138536784855040 from the Numbermatics database.
Names of 138536784855040
- Cardinal: 138536784855040 can be written as One hundred thirty-eight trillion, five hundred thirty-six billion, seven hundred eighty-four million, eight hundred fifty-five thousand and forty.
Scientific notation
- Scientific notation: 1.3853678485504 × 1014
Factors of 138536784855040
Divisors of 138536784855040
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 121 128 130 143 160 176 208 220 242 256 260 286 320 352 416 440 484 512 520 572 605 640 704 715 832 880 968 1024 1040 1144 1210 1280 1408 1430 1573 1664 1760 1936 2048 2080 2288 2420 2560 2816 2860 3146 3328 3520 3872 4096 4160 4576 4840 5120 5632 5720 6292 6656 7040 7744 7865 8192 8320 9152 9680 10240 11264 11440 12584 13312 14080 15488 15730 16384 16640 18304 19360 20480 22528 22880 25168 26624 28160 30976 31460 32768 33280 36608 38720 40960 45056 45760 50336 53248 56320 61952 62920 66560 73216 77440 81920 90112 91520 100672 106496 112640 123904 125840 133120 146432 154880 163840 180224 183040 201344 212992 225280 247808 251680 266240 292864 309760 360448 366080 402688 425984 450560 495616 503360 532480 537547 585728 619520 732160 805376 901120 991232 1006720 1064960 1075094 1171456 1239040 1464320 1610752 1802240 1982464 2013440 2129920 2150188 2342912 2478080 2687735 2928640 3221504 3964928 4026880 4300376 4685824 4956160 5375470 5857280 5913017 6443008 6988111 8053760 8600752 9912320 10750940 11714560 11826034 12886016 13976222 16107520 17201504 19824640 21501880 23429120 23652068 25772032 27952444 29565085 32215040 34403008 34940555 43003760 47304136 51544064 55904888 59130170 64430080 65043187 68806016 69881110 76869221 86007520 94608272 111809776 118260340 128860160 130086374 137612032 139762220 153738442 172015040 189216544 223619552 236520680 257720320 260172748 275224064 279524440 307476884 325215935 344030080 378433088 384346105 447239104 473041360 520345496 550448128 559048880 614953768 650431870 688060160 756866176 768692210 845561431 894478208 946082720 1040690992 1100896256 1118097760 1229907536 1300863740 1376120320 1513732352 1537384420 1691122862 1788956416 1892165440 2081381984 2201792512 2236195520 2459815072 2601727480 2752240640 3027464704 3074768840 3382245724 3577912832 3784330880 4162763968 4227807155 4403585024 4472391040 4919630144 5203454960 5504481280 6054929408 6149537680 6764491448 7155825664 7568661760 8325527936 8455614310 8807170048 8944782080 9839260288 10406909920 11008962560 12109858816 12299075360 13528982896 14311651328 15137323520 16651055872 16911228620 17614340096 17889564160 19678520576 20813819840 22017925120 24219717632 24598150720 27057965792 28623302656 30274647040 33302111744 33822457240 35779128320 39357041152 41627639680 44035850240 48439435264 49196301440 54115931584 57246605312 60549294080 66604223488 67644914480 71558256640 78714082304 83255279360 88071700480 96878870528 98392602880 108231863168 114493210624 121098588160 133208446976 135289828960 143116513280 157428164608 166510558720 193757741056 196785205760 216463726336 228986421248 242197176320 266416893952 270579657920 286233026560 314856329216 333021117440 393570411520 432927452672 484394352640 532833787904 541159315840 572466053120 629712658432 666042234880 787140823040 865854905344 968788705280 1065667575808 1082318631680 1144932106240 1259425316864 1332084469760 1574281646080 1731709810688 2131335151616 2164637263360 2518850633728 2664168939520 3148563292160 3463419621376 4329274526720 5328337879040 6297126584320 6926839242752 8658549053440 10656675758080 12594253168640 13853678485504 17317098106880 27707356971008 34634196213760 69268392427520 138536784855040
- Sum of all divisors σ(n): 393569541786960
- Sum of proper divisors (its aliquot sum) s(n): 255032756931920
- 138536784855040 is an abundant number, because the sum of its proper divisors (255032756931920) is greater than itself. Its abundance is 116495972076880
Bases of 138536784855040
- Binary: 111110111111111100110111101100110000000000000002
- Hexadecimal: 0x7DFF9BD98000
- Base-36: 1D3UX4SEF4
Squares and roots of 138536784855040
- 138536784855040 squared (1385367848550402) is 19192440757971640313813401600
- 138536784855040 cubed (1385367848550403) is 2658859036130217957976530767687465304064000
-
The
square root of 138536784855040 is 11770165.0309177909 -
The
cube root of 138536784855040 is 51743.4086347027
Scales and comparisons
How big is 138536784855040?- 138,536,784,855,040 seconds is equal to 4,405,041 years, 12 weeks, 1 day, 21 hours, 30 minutes, 40 seconds.
-
To count from 1 to 138,536,784,855,040 would take you about eleven million, twelve thousand, six hundred three 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 138536784855040 cubic inches would be around 4312 feet tall.
Recreational maths with 138536784855040
- 138536784855040 backwards is 040558487635831
- The number of decimal digits it has is: 15
- The sum of 138536784855040's digits is 67
- More coming soon!
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