13738322063057536
13,738,322,063,057,536 is an even composite number composed of five prime numbers multiplied together.
What does the number 13738322063057536 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
13738322063057536 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13738322063057536:
27 × 7 × 972 × 131 × 35272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 97 × 97 × 131 × 3527 × 3527)See below for interesting mathematical facts about the number 13738322063057536 from the Numbermatics database.
Names of 13738322063057536
- Cardinal: 13738322063057536 can be written as Thirteen quadrillion, seven hundred thirty-eight trillion, three hundred twenty-two billion, sixty-three million, fifty-seven thousand, five hundred thirty-six.
Scientific notation
- Scientific notation: 1.3738322063057536 × 1016
Factors of 13738322063057536
Divisors of 13738322063057536
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 7 8 14 16 28 32 56 64 97 112 128 131 194 224 262 388 448 524 679 776 896 917 1048 1358 1552 1834 2096 2716 3104 3527 3668 4192 5432 6208 7054 7336 8384 9409 10864 12416 12707 14108 14672 16768 18818 21728 24689 25414 28216 29344 37636 43456 49378 50828 56432 58688 65863 75272 86912 88949 98756 101656 112864 117376 131726 150544 177898 197512 203312 225728 263452 301088 342119 355796 395024 406624 451456 462037 526904 602176 684238 711592 790048 813248 924074 1053808 1204352 1232579 1368476 1423184 1580096 1626496 1848148 2107616 2394833 2465158 2736952 2846368 3160192 3234259 3696296 4215232 4789666 4930316 5473904 5692736 6468518 7392592 8430464 8628053 9579332 9860632 10947808 11385472 12439729 12937036 14785184 17256106 19158664 19721264 21895616 24879458 25874072 29570368 33185543 34512212 38317328 39442528 43791232 44817589 49758916 51748144 59140736 66371086 69024424 76634656 78885056 87078103 89635178 99517832 103496288 132742172 138048848 153269312 157770112 174156206 179270356 199035664 206992576 232298801 265484344 276097696 306538624 313723123 348312412 358540712 398071328 413985152 464597602 530968688 552195392 627446246 696624824 717081424 796142656 929195204 1061937376 1104390784 1206653713 1254892492 1393249648 1434162848 1592285312 1629604499 1858390408 2123874752 2413307426 2509784984 2786499296 2868325696 3259208998 3716780816 4247749504 4347306133 4826614852 5019569968 5572998592 5736651392 6518417996 7433561632 8446575991 8694612266 9653229704 10039139936 11145997184 11407231493 13036835992 14867123264 16893151982 17389224532 19306459408 20078279872 22814462986 26073671984 29734246528 30431142931 33786303964 34778449064 38612918816 40156559744 45628925972 52147343968 60862285862 67572607928 69556898128 77225837632 91257851944 104294687936 117045410161 121724571724 135145215856 139113796256 154451675264 158071636403 182515703888 208589375872 234090820322 243449143448 270290431712 278227592512 316143272806 365031407776 468181640644 486898286896 540580863424 556455185024 632286545612 730062815552 819317871127 936363281288 973796573792 1081161726848 1106501454821 1264573091224 1460125631104 1638635742254 1872726562576 1947593147584 2213002909642 2529146182448 3277271484508 3745453125152 3895186295168 4426005819284 5058292364896 6554542969016 7490906250304 8852011638568 10116584729792 13109085938032 14981812500608 15332948731091 17704023277136 20233169459584 26218171876064 30665897462182 35408046554272 52436343752128 61331794924364 70816093108544 104872687504256 107330641117637 122663589848728 141632186217088 214661282235274 245327179697456 429322564470548 490654359394912 858645128941096 981308718789824 1717290257882192 1962617437579648 3434580515764384 6869161031528768 13738322063057536
- Sum of all divisors σ(n): 31855297368834720
- Sum of proper divisors (its aliquot sum) s(n): 18116975305777184
- 13738322063057536 is an abundant number, because the sum of its proper divisors (18116975305777184) is greater than itself. Its abundance is 4378653242719648
Bases of 13738322063057536
- Binary: 1100001100111011101110010111100110000011100010100000002
- Hexadecimal: 0x30CEEE5E60E280
- Base-36: 3R9TU0ZDOXS
Squares and roots of 13738322063057536
- 13738322063057536 squared (137383220630575362) is 188741493108293472165436846391296
- 13738322063057536 cubed (137383220630575363) is 2592991418984090087476776186025194342357617606656
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The
square root of 13738322063057536 is 117210588.5279036383 -
The
cube root of 13738322063057536 is 239503.1507354823
Scales and comparisons
How big is 13738322063057536?- 13,738,322,063,057,536 seconds is equal to 436,836,146 years, 9 weeks, 4 days, 7 hours, 32 minutes, 16 seconds.
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To count from 1 to 13,738,322,063,057,536 would take you about one billion, three hundred ten million, five hundred eight thousand, four hundred thirty-eight 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 13738322063057536 cubic inches would be around 19958.6 feet tall.
Recreational maths with 13738322063057536
- 13738322063057536 backwards is 63575036022383731
- 13738322063057536 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13738322063057536's digits is 64
- More coming soon!
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