13681874130572736
13,681,874,130,572,736 is an even composite number composed of six prime numbers multiplied together.
13681874130572736 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13681874130572736:
26 × 32 × 11 × 17 × 89 × 1427221877
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 17 × 89 × 1427221877)See below for interesting mathematical facts about the number 13681874130572736 from the Numbermatics database.
Names of 13681874130572736
- Cardinal: 13681874130572736 can be written as Thirteen quadrillion, six hundred eighty-one trillion, eight hundred seventy-four billion, one hundred thirty million, five hundred seventy-two thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.3681874130572736 × 1016
Factors of 13681874130572736
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1427221999
Divisors of 13681874130572736
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 64 66 68 72 88 89 96 99 102 132 136 144 153 176 178 187 192 198 204 264 267 272 288 306 352 356 374 396 408 528 534 544 561 576 612 704 712 748 792 801 816 979 1056 1068 1088 1122 1224 1424 1496 1513 1584 1602 1632 1683 1958 2112 2136 2244 2448 2848 2937 2992 3026 3168 3204 3264 3366 3916 4272 4488 4539 4896 5696 5874 5984 6052 6336 6408 6732 7832 8544 8811 8976 9078 9792 11748 11968 12104 12816 13464 13617 15664 16643 17088 17622 17952 18156 23496 24208 25632 26928 27234 31328 33286 35244 35904 36312 46992 48416 49929 51264 53856 54468 62656 66572 70488 72624 93984 96832 99858 107712 108936 133144 140976 145248 149787 187968 199716 217872 266288 281952 290496 299574 399432 435744 532576 563904 599148 798864 871488 1065152 1198296 1597728 2396592 3195456 4793184 9586368 1427221877 2854443754 4281665631 5708887508 8563331262 11417775016 12844996893 15699440647 17126662524 22835550032 24262771909 25689993786 31398881294 34253325048 45671100064 47098321941 48525543818 51379987572 62797762588 68506650096 72788315727 91342200128 94196643882 97051087636 102759975144 125595525176 127022747053 137013300192 141294965823 145576631454 188393287764 194102175272 205519950288 218364947181 251191050352 254045494106 266890490999 274026600384 282589931646 291153262908 376786575528 381068241159 388204350544 411039900576 436729894362 502382100704 508090988212 533780981998 565179863292 582306525816 753573151056 762136482318 776408701088 800671472997 822079801152 873459788724 1004764201408 1016181976424 1067561963996 1130359726584 1143204723477 1164613051632 1397250217583 1507146302112 1524272964636 1552817402176 1601342945994 1746919577448 2032363952848 2135123927992 2159386699901 2260719453168 2286409446954 2329226103264 2402014418991 2794500435166 3014292604224 3048545929272 3202685891988 3493839154896 4064727905696 4191750652749 4270247855984 4318773399802 4521438906336 4572818893908 4658452206528 4804028837982 5589000870332 6097091858544 6405371783976 6478160099703 6987678309792 8129455811392 8383501305498 8540495711968 8637546799604 9042877812672 9145637787816 9608057675964 11178001740664 12194183717088 12575251958247 12810743567952 12956320199406 13975356619584 16767002610996 17080991423936 17275093599208 18291275575632 19216115351928 19434480299109 22356003481328 23753253698911 24388367434176 25150503916494 25621487135904 25912640398812 33534005221992 34550187198416 36582551151264 38432230703856 38868960598218 44712006962656 47506507397822 50301007832988 51242974271808 51825280797624 67068010443984 69100374396832 71259761096733 73165102302528 76864461407712 77737921196436 89424013925312 95013014795644 100602015665976 103650561595248 134136020887968 138200748793664 142519522193466 153728922815424 155475842392872 190026029591288 201204031331952 207301123190496 213779283290199 268272041775936 285039044386932 310951684785744 380052059182576 402408062663904 414602246380992 427558566580398 570078088773864 621903369571488 760104118365152 804816125327808 855117133160796 1140156177547728 1243806739142976 1520208236730304 1710234266321592 2280312355095456 3420468532643184 4560624710190912 6840937065286368 13681874130572736
- Sum of all divisors σ(n): 45807314152036320
- Sum of proper divisors (its aliquot sum) s(n): 32125440021463584
- 13681874130572736 is an abundant number, because the sum of its proper divisors (32125440021463584) is greater than itself. Its abundance is 18443565890890848
Bases of 13681874130572736
- Binary: 1100001001101110010111100011110110101000010101110000002
- Hexadecimal: 0x309B978F6A15C0
- Base-36: 3QPTI7DTKG0
Squares and roots of 13681874130572736
- 13681874130572736 squared (136818741305727362) is 187193679724835460623767386525696
- 13681874130572736 cubed (136818741305727363) is 2561160364033944366565840031219444720533661024256
-
The
square root of 13681874130572736 is 116969543.6024811375 -
The
cube root of 13681874130572736 is 239174.6774274081
Scales and comparisons
How big is 13681874130572736?- 13,681,874,130,572,736 seconds is equal to 435,041,276 years, 27 weeks, 6 days, 9 hours, 45 minutes, 36 seconds.
-
To count from 1 to 13,681,874,130,572,736 would take you about one billion, three hundred five million, one hundred twenty-three thousand, eight hundred twenty-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 13681874130572736 cubic inches would be around 19931.2 feet tall.
Recreational maths with 13681874130572736
- 13681874130572736 backwards is 63727503147818631
- 13681874130572736 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13681874130572736's digits is 72
- More coming soon!
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