13712810496
13,712,810,496 is an even composite number composed of six prime numbers multiplied together.
What does the number 13712810496 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
13712810496 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 13712810496:
29 × 3 × 7 × 11 × 23 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 23 × 71 × 71)See below for interesting mathematical facts about the number 13712810496 from the Numbermatics database.
Names of 13712810496
- Cardinal: 13712810496 can be written as Thirteen billion, seven hundred twelve million, eight hundred ten thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.3712810496 × 1010
Factors of 13712810496
Divisors of 13712810496
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 32 33 42 44 46 48 56 64 66 69 71 77 84 88 92 96 112 128 132 138 142 154 161 168 176 184 192 213 224 231 253 256 264 276 284 308 322 336 352 368 384 426 448 462 483 497 506 512 528 552 568 616 644 672 704 736 759 768 781 852 896 924 966 994 1012 1056 1104 1136 1232 1288 1344 1408 1472 1491 1518 1536 1562 1633 1704 1771 1792 1848 1932 1988 2024 2112 2208 2272 2343 2464 2576 2688 2816 2944 2982 3036 3124 3266 3408 3542 3584 3696 3864 3976 4048 4224 4416 4544 4686 4899 4928 5041 5152 5313 5376 5467 5632 5888 5964 6072 6248 6532 6816 7084 7392 7728 7952 8096 8448 8832 9088 9372 9798 9856 10082 10304 10626 10752 10934 11431 11776 11928 12144 12496 13064 13632 14168 14784 15123 15456 15904 16192 16401 16896 17664 17963 18176 18744 19596 19712 20164 20608 21252 21868 22862 23856 24288 24992 26128 27264 28336 29568 30246 30912 31808 32384 32802 34293 35287 35328 35926 36352 37488 39192 39424 40328 41216 42504 43736 45724 47712 48576 49984 52256 53889 54528 55451 56672 59136 60492 61824 63616 64768 65604 68586 70574 71852 74976 78384 80656 82432 85008 87472 91448 95424 97152 99968 104512 105861 107778 109056 110902 113344 115943 118272 120984 123648 125741 127232 129536 131208 137172 141148 143704 149952 156768 161312 166353 170016 174944 182896 190848 194304 199936 209024 211722 215556 221804 226688 231886 241968 247296 251482 254464 262416 274344 282296 287408 299904 313536 322624 332706 340032 347829 349888 365792 377223 381696 388157 388608 399872 418048 423444 431112 443608 453376 463772 483936 502964 524832 548688 564592 574816 599808 627072 645248 665412 680064 695658 699776 731584 754446 763392 776314 811601 836096 846888 862224 887216 906752 927544 967872 1005928 1049664 1097376 1129184 1149632 1164471 1199616 1254144 1275373 1290496 1330824 1360128 1391316 1399552 1463168 1508892 1552628 1623202 1693776 1724448 1774432 1855088 1935744 2011856 2099328 2194752 2258368 2299264 2328942 2434803 2508288 2550746 2580992 2661648 2720256 2782632 2799104 2926336 3017784 3105256 3246404 3387552 3448896 3548864 3710176 3826119 3871488 4023712 4198656 4389504 4516736 4598528 4657884 4869606 5101492 5323296 5565264 5852672 6035568 6210512 6492808 6775104 6897792 7097728 7420352 7652238 7742976 8047424 8397312 8779008 8927611 9033472 9197056 9315768 9739212 10202984 10646592 11130528 12071136 12421024 12985616 13550208 13795584 14195456 14840704 15304476 16094848 17558016 17855222 18066944 18631536 19478424 20405968 21293184 22261056 24142272 24842048 25971232 26782833 27100416 27591168 28390912 29681408 30608952 32189696 35710444 37263072 38956848 40811936 42586368 44522112 48284544 49684096 51942464 53565666 54200832 59362816 61217904 64379392 71420888 74526144 77913696 81623872 85172736 89044224 96569088 99368192 103884928 107131332 122435808 142841776 149052288 155827392 163247744 178088448 193138176 198736384 207769856 214262664 244871616 285683552 298104576 311654784 326495488 415539712 428525328 489743232 571367104 596209152 623309568 652990976 857050656 979486464 1142734208 1246619136 1714101312 1958972928 2285468416 3428202624 4570936832 6856405248 13712810496
- Sum of all divisors σ(n): 48205200384
- Sum of proper divisors (its aliquot sum) s(n): 34492389888
- 13712810496 is an abundant number, because the sum of its proper divisors (34492389888) is greater than itself. Its abundance is 20779579392
Bases of 13712810496
- Binary: 11001100010101100011100010000000002
- Hexadecimal: 0x33158E200
- Base-36: 6AS94AO
Squares and roots of 13712810496
- 13712810496 squared (137128104962) is 188041171699207766016
- 13712810496 cubed (137128104963) is 2578572952957034408708916903936
-
The
square root of 13712810496 is 117101.7100472917 -
The
cube root of 13712810496 is 2393.5480931389
Scales and comparisons
How big is 13712810496?- 13,712,810,496 seconds is equal to 436 years, 1 week, 2 days, 2 hours, 1 minute, 36 seconds.
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To count from 1 to 13,712,810,496 would take you about eight hundred seventy-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 13712810496 cubic inches would be around 199.5 feet tall.
Recreational maths with 13712810496
- 13712810496 backwards is 69401821731
- 13712810496 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13712810496's digits is 42
- More coming soon!
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