13937099402857702400
13,937,099,402,857,702,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13937099402857702400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 264 divisors.
13937099402857702400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 13937099402857702400:
210 × 52 × 7 × 23 × 3381477921889
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 23 × 3381477921889)See below for interesting mathematical facts about the number 13937099402857702400 from the Numbermatics database.
Names of 13937099402857702400
- Cardinal: 13937099402857702400 can be written as Thirteen quintillion, nine hundred thirty-seven quadrillion, ninety-nine trillion, four hundred two billion, eight hundred fifty-seven million, seven hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 1.39370994028577024 × 1019
Factors of 13937099402857702400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 3381477921926
Divisors of 13937099402857702400
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 80 92 100 112 115 128 140 160 161 175 184 200 224 230 256 280 320 322 350 368 400 448 460 512 560 575 640 644 700 736 800 805 896 920 1024 1120 1150 1280 1288 1400 1472 1600 1610 1792 1840 2240 2300 2560 2576 2800 2944 3200 3220 3584 3680 4025 4480 4600 5120 5152 5600 5888 6400 6440 7168 7360 8050 8960 9200 10304 11200 11776 12800 12880 14720 16100 17920 18400 20608 22400 23552 25600 25760 29440 32200 35840 36800 41216 44800 51520 58880 64400 73600 82432 89600 103040 117760 128800 147200 164864 179200 206080 257600 294400 412160 515200 588800 824320 1030400 2060800 4121600 3381477921889 6762955843778 13525911687556 16907389609445 23670345453223 27051823375112 33814779218890 47340690906446 54103646750224 67629558437780 77773992203447 84536948047225 94681381812892 108207293500448 118351727266115 135259116875560 155547984406894 169073896094450 189362763625784 216414587000896 236703454532230 270518233751120 311095968813788 338147792188900 378725527251568 388869961017235 432829174001792 473406909064460 541036467502240 544417945424129 591758636330575 622191937627576 676295584377800 757451054503136 777739922034470 865658348003584 946813818128920 1082072935004480 1088835890848258 1183517272661150 1244383875255152 1352591168755600 1514902109006272 1555479844068940 1731316696007168 1893627636257840 1944349805086175 2164145870008960 2177671781696516 2367034545322300 2488767750510304 2705182337511200 2722089727120645 3029804218012544 3110959688137880 3462633392014336 3787255272515680 3888699610172350 4328291740017920 4355343563393032 4734069090644600 4977535501020608 5410364675022400 5444179454241290 6059608436025088 6221919376275760 7574510545031360 7777399220344700 8656583480035840 8710687126786064 9468138181289200 9955071002041216 10820729350044800 10888358908482580 12119216872050176 12443838752551520 13610448635603225 15149021090062720 15554798440689400 17313166960071680 17421374253572128 18936276362578400 19910142004082432 21641458700089600 21776717816965160 24238433744100352 24887677505103040 27220897271206450 30298042180125440 31109596881378800 34842748507144256 37872552725156800 39820284008164864 43282917400179200 43553435633930320 49775355010206080 54441794542412900 60596084360250880 62219193762757600 69685497014288512 75745105450313600 79640568016329728 86565834800358400 87106871267860640 99550710020412160 108883589084825800 121192168720501760 124438387525515200 139370994028577024 151490210900627200 174213742535721280 199101420040824320 217767178169651600 248876775051030400 278741988057154048 302980421801254400 348427485071442560 398202840081648640 435534356339303200 497753550102060800 557483976114308096 605960843602508800 696854970142885120 871068712678606400 995507100204121600 1393709940285770240 1742137425357212800 1991014200408243200 2787419880571540480 3484274850714425600 6968549701428851200 13937099402857702400
- Sum of all divisors σ(n): 41199061341959756160
- Sum of proper divisors (its aliquot sum) s(n): 27261961939102053760
- 13937099402857702400 is an abundant number, because the sum of its proper divisors (27261961939102053760) is greater than itself. Its abundance is 13324862536244351360
Bases of 13937099402857702400
- Binary: 11000001011010101000011000010000101000101010010001100100000000002
- Hexadecimal: 0xC16A8610A2A46400
- Base-36: 2XVY9ESK2JRI8
Squares and roots of 13937099402857702400
- 13937099402857702400 squared (139370994028577024002) is 194242739765136524817003583006965760000
- 13937099402857702400 cubed (139370994028577024003) is 2707180372390128344554551829821443389484149269069824000000
-
The
square root of 13937099402857702400 is 3733242478.4438664157 -
The
cube root of 13937099402857702400 is 2406527.3356916921
Scales and comparisons
How big is 13937099402857702400?- 13,937,099,402,857,702,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,937,099,402,857,702,400 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 13937099402857702400 cubic inches would be around 200543.9 feet tall.
Recreational maths with 13937099402857702400
- 13937099402857702400 backwards is 00420775820499073931
- 13937099402857702400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13937099402857702400's digits is 80
- More coming soon!
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