138680034205903309600
138,680,034,205,903,309,600 is an even composite number composed of six prime numbers multiplied together.
138680034205903309600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138680034205903309600:
25 × 52 × 13 × 17 × 66499 × 11795505703
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 66499 × 11795505703)See below for interesting mathematical facts about the number 138680034205903309600 from the Numbermatics database.
Names of 138680034205903309600
- Cardinal: 138680034205903309600 can be written as One hundred thirty-eight quintillion, six hundred eighty quadrillion, thirty-four trillion, two hundred five billion, nine hundred three million, three hundred nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.386800342059033096 × 1020
Factors of 138680034205903309600
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 11795572239
Divisors of 138680034205903309600
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 65 68 80 85 100 104 130 136 160 170 200 208 221 260 272 325 340 400 416 425 442 520 544 650 680 800 850 884 1040 1105 1300 1360 1700 1768 2080 2210 2600 2720 3400 3536 4420 5200 5525 6800 7072 8840 10400 11050 13600 17680 22100 35360 44200 66499 88400 132998 176800 265996 332495 531992 664990 864487 1063984 1130483 1329980 1662475 1728974 2127968 2260966 2659960 3324950 3457948 4322435 4521932 5319920 5652415 6649900 6915896 8644870 9043864 10639840 11304830 13299800 13831792 14696279 17289740 18087728 21612175 22609660 26599600 27663584 28262075 29392558 34579480 36175456 43224350 45219320 53199200 56524150 58785116 69158960 73481395 86448700 90438640 113048300 117570232 138317920 146962790 172897400 180877280 226096600 235140464 293925580 345794800 367406975 452193200 470280928 587851160 691589600 734813950 904386400 1175702320 1469627900 2351404640 2939255800 5878511600 11757023200 11795505703 23591011406 47182022812 58977528515 94364045624 117955057030 153341574139 188728091248 200523596951 235910114060 294887642575 306683148278 377456182496 401047193902 471820228120 589775285150 613366296556 766707870695 802094387804 943640456240 1002617984755 1179550570300 1226732593112 1533415741390 1604188775608 1887280912480 2005235969510 2359101140600 2453465186224 2606806760363 3066831482780 3208377551216 3833539353475 4010471939020 4718202281200 4906930372448 5013089923775 5213613520726 6133662965560 6416755102432 7667078706950 8020943878040 9436404562400 10026179847550 10427227041452 12267325931120 13034033801815 15334157413900 16041887756080 20052359695100 20854454082904 24534651862240 26068067603630 30668314827800 32083775512160 40104719390200 41708908165808 52136135207260 61336629655600 65170169009075 80209438780400 83417816331616 104272270414520 122673259311200 130340338018150 160418877560800 208544540829040 260680676036300 417089081658080 521361352072600 784389333743797 1042722704145200 1568778667487594 2085445408290400 3137557334975188 3921946668718985 6275114669950376 7843893337437970 10197061338669361 12550229339900752 13334618673644549 15687786674875940 19609733343594925 20394122677338722 25100458679801504 26669237347289098 31375573349751880 39219466687189850 40788245354677444 50985306693346805 53338474694578196 62751146699503760 66673093368222745 78438933374379700 81576490709354888 101970613386693610 106676949389156392 125502293399007520 133346186736445490 156877866748759400 163152981418709776 173350042757379137 203941226773387220 213353898778312784 254926533466734025 266692373472890980 313755733497518800 326305962837419552 333365466841113725 346700085514758274 407882453546774440 426707797556625568 509853066933468050 533384746945781960 627511466995037600 666730933682227450 693400171029516548 815764907093548880 866750213786895685 1019706133866936100 1066769493891563920 1333461867364454900 1386800342059033096 1631529814187097760 1733500427573791370 2039412267733872200 2133538987783127840 2666923734728909800 2773600684118066192 3467000855147582740 4078824535467744400 4333751068934478425 5333847469457819600 5547201368236132384 6934001710295165480 8157649070935488800 8667502137868956850 10667694938915639200 13868003420590330960 17335004275737913700 27736006841180661920 34670008551475827400 69340017102951654800 138680034205903309600
- Sum of all divisors σ(n): 386047722199645296000
- Sum of proper divisors (its aliquot sum) s(n): 247367687993741986400
- 138680034205903309600 is an abundant number, because the sum of its proper divisors (247367687993741986400) is greater than itself. Its abundance is 108687653787838676800
Bases of 138680034205903309600
- Binary: 11110000100100100100111010001011010000110011110001101001011001000002
- Hexadecimal: 0x78492745A19E34B20
- Base-36: T9MJ5AL3VICKG
Squares and roots of 138680034205903309600
- 138680034205903309600 squared (1386800342059033096002) is 19232151887350511994477225704233452160000
- 138680034205903309600 cubed (1386800342059033096003) is 2667115481590896897646866267806126783814031970777268736000000
-
The
square root of 138680034205903309600 is 11776248732.3384652429 -
The
cube root of 138680034205903309600 is 5176123.7007602093
Scales and comparisons
How big is 138680034205903309600?- 138,680,034,205,903,309,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,680,034,205,903,309,600 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 138680034205903309600 cubic inches would be around 431343.6 feet tall.
Recreational maths with 138680034205903309600
- 138680034205903309600 backwards is 006903309502430086831
- The number of decimal digits it has is: 21
- The sum of 138680034205903309600's digits is 70
- More coming soon!
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