13679027599382341200
13,679,027,599,382,341,200 is an even composite number composed of six prime numbers multiplied together.
13679027599382341200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13679027599382341200:
24 × 33 × 52 × 31 × 43 × 950170014683
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 43 × 950170014683)See below for interesting mathematical facts about the number 13679027599382341200 from the Numbermatics database.
Names of 13679027599382341200
- Cardinal: 13679027599382341200 can be written as Thirteen quintillion, six hundred seventy-nine quadrillion, twenty-seven trillion, five hundred ninety-nine billion, three hundred eighty-two million, three hundred forty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.36790275993823412 × 1019
Factors of 13679027599382341200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 950170014767
Divisors of 13679027599382341200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 36 40 43 45 48 50 54 60 62 72 75 80 86 90 93 100 108 120 124 129 135 144 150 155 172 180 186 200 215 216 225 240 248 258 270 279 300 310 344 360 372 387 400 430 432 450 465 496 516 540 558 600 620 645 675 688 720 744 774 775 837 860 900 930 1032 1075 1080 1116 1161 1200 1240 1290 1333 1350 1395 1488 1548 1550 1674 1720 1800 1860 1935 2064 2150 2160 2232 2322 2325 2480 2580 2666 2700 2790 3096 3100 3225 3348 3440 3600 3720 3870 3999 4185 4300 4464 4644 4650 5160 5332 5400 5580 5805 6192 6200 6450 6665 6696 6975 7440 7740 7998 8370 8600 9288 9300 9675 10320 10664 10800 11160 11610 11997 12400 12900 13330 13392 13950 15480 15996 16740 17200 18576 18600 19350 19995 20925 21328 22320 23220 23994 25800 26660 27900 29025 30960 31992 33325 33480 35991 37200 38700 39990 41850 46440 47988 51600 53320 55800 58050 59985 63984 66650 66960 71982 77400 79980 83700 92880 95976 99975 106640 111600 116100 119970 133300 143964 154800 159960 167400 179955 191952 199950 232200 239940 266600 287928 299925 319920 334800 359910 399900 464400 479880 533200 575856 599850 719820 799800 899775 959760 1199700 1439640 1599600 1799550 2399400 2879280 3599100 4798800 7198200 14396400 950170014683 1900340029366 2850510044049 3800680058732 4750850073415 5701020088098 7601360117464 8551530132147 9501700146830 11402040176196 14252550220245 15202720234928 17103060264294 19003400293660 22804080352392 23754250367075 25654590396441 28505100440490 29455270455173 34206120528588 38006800587320 40857310631369 42757650660735 45608160704784 47508500734150 51309180792882 57010200880980 58910540910346 68412241057176 71262751101225 76013601174640 81714621262738 85515301321470 88365811365519 95017001468300 102618361585764 114020401761960 117821081820692 122571931894107 128272951982205 136824482114352 142525502202450 147276352275865 163429242525476 171030602642940 176731622731038 190034002936600 204286553156845 205236723171528 213788253303675 228040803523920 235642163641384 245143863788214 256545903964410 265097434096557 285051004404900 294552704551730 326858485050952 342061205285880 353463245462076 367715795682321 380068005873200 408573106313690 410473446343056 427576506607350 441829056827595 471284327282768 490287727576428 513091807928820 530194868193114 570102008809800 589105409103460 612859659470535 641364759911025 653716970101904 684122410571760 706926490924152 735431591364642 736381761379325 795292302289671 817146212627380 855153013214700 883658113655190 980575455152856 1021432765784225 1026183615857640 1060389736386228 1103147387046963 1140204017619600 1178210818206920 1225719318941070 1266576629572439 1282729519822050 1325487170482785 1413852981848304 1470863182729284 1472763522758650 1590584604579342 1634292425254760 1710306026429400 1767316227310380 1838578978411605 1961150910305712 2042865531568450 2052367231715280 2120779472772456 2206294774093926 2209145284137975 2356421636413840 2451438637882140 2533153259144878 2565459039644100 2650974340965570 2941726365458568 2945527045517300 3064298297352675 3181169209158684 3268584850509520 3420612052858800 3534632454620760 3677157956823210 3799729888717317 3976461511448355 4085731063136900 4241558945544912 4412589548187852 4418290568275950 4902877275764280 5066306518289756 5130918079288200 5301948681931140 5515736935234815 5883452730917136 5891054091034600 6128596594705350 6332883147862195 6362338418317368 6627435852413925 7069264909241520 7354315913646420 7599459777434634 7952923022896710 8171462126273800 8825179096375704 8836581136551900 9192894892058025 9805754551528560 10132613036579512 10261836158576400 10603897363862280 11031473870469630 11399189666151951 11782108182069200 12257193189410700 12665766295724390 12724676836634736 13254871704827850 14708631827292840 15198919554869268 15905846045793420 16342924252547600 17650358192751408 17673162273103800 18385789784116050 18998649443586585 19882307557241775 20265226073159024 21207794727724560 22062947740939260 22798379332303902 24514386378821400 25331532591448780 26509743409655700 27578684676174075 29417263654585680 30397839109738536 31664415739310975 31811692091586840 34197568998455853 35346324546207600 36771579568232100 37997298887173170 39764615114483550 44125895481878520 45596758664607804 49028772757642800 50663065182897560 53019486819311400 55157369352348150 56995948330759755 60795678219477072 63328831478621950 63623384183173680 68395137996911706 73543159136464200 75994597774346340 79529230228967100 88251790963757040 91193517329215608 94993247217932925 101326130365795120 106038973638622800 110314738704696300 113991896661519510 126657662957243900 136790275993823412 147086318272928400 151989195548692680 159058460457934200 170987844992279265 182387034658431216 189986494435865850 220629477409392600 227983793323039020 253315325914487800 273580551987646824 284979741653798775 303978391097385360 318116920915868400 341975689984558530 379972988871731700 441258954818785200 455967586646078040 506630651828975600 547161103975293648 569959483307597550 683951379969117060 759945977743463400 854939224961396325 911935173292156080 1139918966615195100 1367902759938234120 1519891955486926800 1709878449922792650 2279837933230390200 2735805519876468240 3419756899845585300 4559675866460780400 6839513799691170600 13679027599382341200
- Sum of all divisors σ(n): 51426545793149767680
- Sum of proper divisors (its aliquot sum) s(n): 37747518193767426480
- 13679027599382341200 is an abundant number, because the sum of its proper divisors (37747518193767426480) is greater than itself. Its abundance is 24068490594385085280
Bases of 13679027599382341200
- Binary: 10111101110101011010101100100000100001011111001011100110010100002
- Hexadecimal: 0xBDD5AB2085F2E650
- Base-36: 2VXD6LAQDTRO0
Squares and roots of 13679027599382341200
- 13679027599382341200 squared (136790275993823412002) is 187115796064663816455215742393217440000
- 13679027599382341200 cubed (136790275993823412003) is 2559562138648934011953885328876162605373640187870528000000
-
The
square root of 13679027599382341200 is 3698516945.9368901477 -
The
cube root of 13679027599382341200 is 2391580.8941241253
Scales and comparisons
How big is 13679027599382341200?- 13,679,027,599,382,341,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,679,027,599,382,341,200 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 13679027599382341200 cubic inches would be around 199298.4 feet tall.
Recreational maths with 13679027599382341200
- 13679027599382341200 backwards is 00214328399572097631
- The number of decimal digits it has is: 20
- The sum of 13679027599382341200's digits is 81
- More coming soon!
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