13736068842403440
13,736,068,842,403,440 is an even composite number composed of six prime numbers multiplied together.
13736068842403440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 13736068842403440:
24 × 32 × 5 × 13 × 312 × 1527085039
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 31 × 31 × 1527085039)See below for interesting mathematical facts about the number 13736068842403440 from the Numbermatics database.
Names of 13736068842403440
- Cardinal: 13736068842403440 can be written as Thirteen quadrillion, seven hundred thirty-six trillion, sixty-eight billion, eight hundred forty-two million, four hundred three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.373606884240344 × 1016
Factors of 13736068842403440
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1527085093
Divisors of 13736068842403440
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 36 39 40 45 48 52 60 62 65 72 78 80 90 93 104 117 120 124 130 144 155 156 180 186 195 208 234 240 248 260 279 310 312 360 372 390 403 465 468 496 520 558 585 620 624 720 744 780 806 930 936 961 1040 1116 1170 1209 1240 1395 1488 1560 1612 1860 1872 1922 2015 2232 2340 2418 2480 2790 2883 3120 3224 3627 3720 3844 4030 4464 4680 4805 4836 5580 5766 6045 6448 7254 7440 7688 8060 8649 9360 9610 9672 11160 11532 12090 12493 14415 14508 15376 16120 17298 18135 19220 19344 22320 23064 24180 24986 28830 29016 32240 34596 36270 37479 38440 43245 46128 48360 49972 57660 58032 62465 69192 72540 74958 76880 86490 96720 99944 112437 115320 124930 138384 145080 149916 172980 187395 199888 224874 230640 249860 290160 299832 345960 374790 449748 499720 562185 599664 691920 749580 899496 999440 1124370 1499160 1798992 2248740 2998320 4497480 8994960 1527085039 3054170078 4581255117 6108340156 7635425195 9162510234 12216680312 13743765351 15270850390 18325020468 19852105507 22906275585 24433360624 27487530702 30541700780 36650040936 39704211014 45812551170 47339636209 54975061404 59556316521 61083401560 68718826755 73300081872 79408422028 91625102340 94679272418 99260527535 109950122808 119112633042 122166803120 137437653510 142018908627 158816844056 178668949563 183250204680 189358544836 198521055070 219900245616 236698181045 238225266084 274875307020 284037817254 297781582605 317633688112 357337899126 366500409360 378717089672 397042110140 426056725881 473396362090 476450532168 549750614040 568075634508 595563165210 615415270717 710094543135 714675798252 757434179344 794084220280 852113451762 893344747815 946792724180 952901064336 1099501228080 1136151269016 1191126330420 1230830541434 1420189086270 1429351596504 1467528722479 1588168440560 1704226903524 1786689495630 1846245812151 1893585448360 2130283629405 2272302538032 2382252660840 2461661082868 2840378172540 2858703193008 2935057444958 3077076353585 3408453807048 3573378991260 3692491624302 3787170896720 4260567258810 4402586167437 4764505321680 4923322165736 5538737436453 5680756345080 5870114889916 6154152707170 6816907614096 7146757982520 7337643612395 7384983248604 8521134517620 8805172334874 9231229060755 9846644331472 11077474872906 11361512690160 11740229779832 12308305414340 13207758502311 14293515965040 14675287224790 14769966497208 17042269035240 17610344669748 18462458121510 19077873392227 22012930837185 22154949745812 23480459559664 24616610828680 26415517004622 27693687182265 29350574449580 29539932994416 34084538070480 35220689339496 36924916243020 38155746784454 44025861674370 44309899491624 49233221657360 52831034009244 55387374364530 57233620176681 58701148899160 66038792511555 70441378678992 73849832486040 76311493568908 88051723348740 88619798983248 95389366961135 105662068018488 110774748729060 114467240353362 117402297798320 132077585023110 147699664972080 152622987137816 171700860530043 176103446697480 190778733922270 211324136036976 221549497458120 228934480706724 264155170046220 286168100883405 305245974275632 343401721060086 352206893394960 381557467844540 443098994916240 457868961413448 528310340092440 572336201766810 686803442120172 763114935689080 858504302650215 915737922826896 1056620680184880 1144672403533620 1373606884240344 1526229871378160 1717008605300430 2289344807067240 2747213768480688 3434017210600860 4578689614134480 6868034421201720 13736068842403440
- Sum of all divisors σ(n): 51333018594661440
- Sum of proper divisors (its aliquot sum) s(n): 37596949752258000
- 13736068842403440 is an abundant number, because the sum of its proper divisors (37596949752258000) is greater than itself. Its abundance is 23860880909854560
Bases of 13736068842403440
- Binary: 1100001100110011100001101111111111011000110110011100002
- Hexadecimal: 0x30CCE1BFF63670
- Base-36: 3R912WTZ980
Squares and roots of 13736068842403440
- 13736068842403440 squared (137360688424034402) is 188679587243246580191395723833600
- 13736068842403440 cubed (137360688424034403) is 2591715799529500917767500598955166443514627584000
-
The
square root of 13736068842403440 is 117200976.2860507915 -
The
cube root of 13736068842403440 is 239490.0563913307
Scales and comparisons
How big is 13736068842403440?- 13,736,068,842,403,440 seconds is equal to 436,764,500 years, 38 weeks, 2 days, 13 hours, 24 minutes.
-
To count from 1 to 13,736,068,842,403,440 would take you about one billion, three hundred ten million, two hundred ninety-three thousand, five hundred two 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 13736068842403440 cubic inches would be around 19957.5 feet tall.
Recreational maths with 13736068842403440
- 13736068842403440 backwards is 04430424886063731
- The number of decimal digits it has is: 17
- The sum of 13736068842403440's digits is 63
- More coming soon!
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