13974698948937692112
13,974,698,948,937,692,112 is an even composite number composed of five prime numbers multiplied together.
13974698948937692112 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 13974698948937692112:
24 × 33 × 72 × 1627 × 405765464917
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 1627 × 405765464917)See below for interesting mathematical facts about the number 13974698948937692112 from the Numbermatics database.
Names of 13974698948937692112
- Cardinal: 13974698948937692112 can be written as Thirteen quintillion, nine hundred seventy-four quadrillion, six hundred ninety-eight trillion, nine hundred forty-eight billion, nine hundred thirty-seven million, six hundred ninety-two thousand, one hundred twelve.
Scientific notation
- Scientific notation: 1.3974698948937692112 × 1019
Factors of 13974698948937692112
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 405765466556
Divisors of 13974698948937692112
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1627 1764 2352 2646 3024 3254 3528 4881 5292 6508 7056 9762 10584 11389 13016 14643 19524 21168 22778 26032 29286 34167 39048 43929 45556 58572 68334 78096 79723 87858 91112 102501 117144 136668 159446 175716 182224 205002 234288 239169 273336 307503 318892 351432 410004 478338 546672 615006 637784 702864 717507 820008 956676 1230012 1275568 1435014 1640016 1913352 2152521 2460024 2870028 3826704 4305042 4920048 5740056 8610084 11480112 17220168 34440336 405765464917 811530929834 1217296394751 1623061859668 2434592789502 2840358254419 3246123719336 3651889184253 4869185579004 5680716508838 6492247438672 7303778368506 8521074763257 9738371158008 10955667552759 11361433017676 14607556737012 17042149526514 19476742316016 19882507780933 21911335105518 22722866035352 25563224289771 29215113474024 34084299053028 39765015561866 43822670211036 45445732070704 51126448579542 58430226948048 59647523342799 68168598106056 76689672869313 79530031123732 87645340422072 102252897159084 119295046685598 136337196212112 153379345738626 159060062247464 175290680844144 178942570028397 204505794318168 238590093371196 306758691477252 318120124494928 357885140056794 409011588636336 477180186742392 536827710085191 613517382954504 660180411419959 715770280113588 954360373484784 1073655420170382 1227034765909008 1320360822839918 1431540560227176 1980541234259877 2147310840340764 2640721645679836 2863081120454352 3961082468519754 4294621680681528 4621262879939713 5281443291359672 5941623702779631 7922164937039508 8589243361363056 9242525759879426 10562886582719344 11883247405559262 13863788639819139 15844329874079016 17824871108338893 18485051519758852 23766494811118524 27727577279638278 31688659748158032 32348840159577991 35649742216677786 36970103039517704 41591365919457417 47532989622237048 55455154559276556 64697680319155982 71299484433355572 73940206079035408 83182731838914834 95065979244474096 97046520478733973 110910309118553112 124774097758372251 129395360638311964 142598968866711144 166365463677829668 194093040957467946 221820618237106224 249548195516744502 258790721276623928 285197937733422288 291139561436201919 332730927355659336 388186081914935892 499096391033489004 517581442553247856 582279122872403838 665461854711318672 776372163829871784 873418684308605757 998192782066978008 1164558245744807676 1552744327659743568 1746837368617211514 1996385564133956016 2329116491489615352 3493674737234423028 4658232982979230704 6987349474468846056 13974698948937692112
- Sum of all divisors σ(n): 46690230982338102720
- Sum of proper divisors (its aliquot sum) s(n): 32715532033400410608
- 13974698948937692112 is an abundant number, because the sum of its proper divisors (32715532033400410608) is greater than itself. Its abundance is 18740833084462718496
Bases of 13974698948937692112
- Binary: 11000001111100000001101010100111001001100111010010110011110100002
- Hexadecimal: 0xC1F01AA72674B3D0
- Base-36: 2Y68HC5KJ2AC0
Squares and roots of 13974698948937692112
- 13974698948937692112 squared (139746989489376921122) is 195292210713440236647107862848907020544
- 13974698948937692112 cubed (139746989489376921123) is 2729149851792831570054244100484555593552649148697530748928
-
The
square root of 13974698948937692112 is 3738274862.6789994391 -
The
cube root of 13974698948937692112 is 2408689.5045653909
Scales and comparisons
How big is 13974698948937692112?- 13,974,698,948,937,692,112 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,974,698,948,937,692,112 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 13974698948937692112 cubic inches would be around 200724.1 feet tall.
Recreational maths with 13974698948937692112
- 13974698948937692112 backwards is 21129673984989647931
- 13974698948937692112 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13974698948937692112's digits is 108
- More coming soon!
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