138176008265840011320
138,176,008,265,840,011,320 is an even composite number composed of seven prime numbers multiplied together.
138176008265840011320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138176008265840011320:
23 × 3 × 5 × 7 × 12043 × 93629 × 145884209
(2 × 2 × 2 × 3 × 5 × 7 × 12043 × 93629 × 145884209)See below for interesting mathematical facts about the number 138176008265840011320 from the Numbermatics database.
Names of 138176008265840011320
- Cardinal: 138176008265840011320 can be written as One hundred thirty-eight quintillion, one hundred seventy-six quadrillion, eight trillion, two hundred sixty-five billion, eight hundred forty million, eleven thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3817600826584001132 × 1020
Factors of 138176008265840011320
Divisors of 138176008265840011320
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 12043 24086 36129 48172 60215 72258 84301 93629 96344 120430 144516 168602 180645 187258 240860 252903 280887 289032 337204 361290 374516 421505 468145 481720 505806 561774 655403 674408 722580 749032 843010 936290 1011612 1123548 1264515 1310806 1404435 1445160 1686020 1872580 1966209 2023224 2247096 2529030 2621612 2808870 3277015 3372040 3745160 3932418 5058060 5243224 5617740 6554030 7864836 9831045 10116120 11235480 13108060 15729672 19662090 26216120 39324180 78648360 145884209 291768418 437652627 583536836 729421045 875305254 1021189463 1127574047 1167073672 1458842090 1750610508 2042378926 2188263135 2255148094 2917684180 3063568389 3382722141 3501221016 4084757852 4376526270 4510296188 5105947315 5637870235 5835368360 6127136778 6765444282 7893018329 8169515704 8753052540 9020592376 10211894630 11275740470 12254273556 13530888564 15317841945 15786036658 16913610705 17506105080 20423789260 22551480940 23679054987 24508547112 27061777128 30635683890 31572073316 33827221410 39465091645 40847578520 45102961880 47358109974 61271367780 63144146632 67654442820 78930183290 94716219948 118395274935 122542735560 135308885640 157860366580 189432439896 236790549870 315720733160 473581099740 947162199480 1756883528987 3513767057974 5270650586961 7027534115948 8784417644935 10541301173922 12298184702909 13658992604461 14055068231896 17568835289870 21082602347844 24596369405818 26353252934805 27317985208922 35137670579740 36894554108727 40976977813383 42165204695688 49192738811636 52706505869610 54635970417844 61490923514545 68294963022305 70275341159480 73789108217454 81953955626766 95612948231227 98385477623272 105413011739220 109271940835688 122981847029090 136589926044610 147578216434908 163907911253532 184472770543635 191225896462454 204884889066915 210826023478440 245963694058180 273179852089220 286838844693681 295156432869816 327815822507064 368945541087270 382451792924908 409769778133830 478064741156135 491927388116360 546359704178440 573677689387362 737891082174540 764903585849816 819539556267660 956129482312270 1147355378774724 1434194223468405 1475782164349080 1639079112535320 1912258964624540 2294710757549448 2868388446936810 3824517929249080 5736776893873620 11473553787747240 164495247935523823 328990495871047646 493485743806571469 657980991742095292 822476239677619115 986971487613142938 1151466735548666761 1315961983484190584 1644952479355238230 1973942975226285876 2302933471097333522 2467428719032857345 3289904958710476460 3454400206646000283 3947885950452571752 4605866942194667044 4934857438065714690 5757333677743333805 6579809917420952920 6908800413292000566 9211733884389334088 9869714876131429380 11514667355486667610 13817600826584001132 17272001033230001415 19739429752262858760 23029334710973335220 27635201653168002264 34544002066460002830 46058669421946670440 69088004132920005660 138176008265840011320
- Sum of all divisors σ(n): 473790715445437056000
- Sum of proper divisors (its aliquot sum) s(n): 335614707179597044680
- 138176008265840011320 is an abundant number, because the sum of its proper divisors (335614707179597044680) is greater than itself. Its abundance is 197438698913757033360
Bases of 138176008265840011320
- Binary: 11101111101100100111100101101101110000011101101010100101000001110002
- Hexadecimal: 0x77D93CB6E0ED52838
- Base-36: T5SOB0CRXY7NC
Squares and roots of 138176008265840011320
- 138176008265840011320 squared (1381760082658400113202) is 19092609260281487132415732738617728142400
- 138176008265840011320 cubed (1381760082658400113203) is 2638140534965108310142140711884937842926318989728298571968000
-
The
square root of 138176008265840011320 is 11754829146.6035358671 -
The
cube root of 138176008265840011320 is 5169845.2972206571
Scales and comparisons
How big is 138176008265840011320?- 138,176,008,265,840,011,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,176,008,265,840,011,320 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138176008265840011320 cubic inches would be around 430820.4 feet tall.
Recreational maths with 138176008265840011320
- 138176008265840011320 backwards is 023110048562800671831
- The number of decimal digits it has is: 21
- The sum of 138176008265840011320's digits is 66
- More coming soon!
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