138728340898560
138,728,340,898,560 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138728340898560 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2916 divisors.
138728340898560 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 138728340898560:
28 × 32 × 5 × 7 × 192 × 372 × 592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 19 × 37 × 37 × 59 × 59)See below for interesting mathematical facts about the number 138728340898560 from the Numbermatics database.
Names of 138728340898560
- Cardinal: 138728340898560 can be written as One hundred thirty-eight trillion, seven hundred twenty-eight billion, three hundred forty million, eight hundred ninety-eight thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3872834089856 × 1014
Factors of 138728340898560
Divisors of 138728340898560
- Number of divisors d(n): 2916
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 37 38 40 42 45 48 56 57 59 60 63 64 70 72 74 76 80 84 90 95 96 105 111 112 114 118 120 126 128 133 140 144 148 152 160 168 171 177 180 185 190 192 210 222 224 228 236 240 252 256 259 266 280 285 288 295 296 304 315 320 333 336 342 354 360 361 370 380 384 399 413 420 444 448 456 472 480 504 518 531 532 555 560 570 576 590 592 608 630 640 665 666 672 684 703 708 720 722 740 760 768 777 798 826 840 855 885 888 896 912 944 960 1008 1036 1062 1064 1083 1110 1120 1121 1140 1152 1180 1184 1197 1216 1239 1260 1280 1295 1330 1332 1344 1368 1369 1406 1416 1440 1444 1480 1520 1554 1596 1652 1665 1680 1710 1770 1776 1792 1805 1824 1888 1920 1995 2016 2065 2072 2109 2124 2128 2166 2183 2220 2240 2242 2280 2304 2331 2360 2368 2394 2432 2478 2520 2527 2590 2655 2660 2664 2688 2736 2738 2812 2832 2880 2888 2960 3040 3108 3192 3249 3304 3330 3360 3363 3420 3481 3515 3540 3552 3610 3648 3717 3776 3840 3885 3990 4032 4107 4130 4144 4218 4248 4256 4332 4366 4440 4480 4484 4560 4662 4720 4736 4788 4864 4921 4956 5040 5054 5180 5310 5320 5328 5376 5415 5472 5476 5605 5624 5664 5760 5776 5920 5985 6080 6195 6216 6327 6384 6498 6549 6608 6660 6720 6726 6840 6845 6962 7030 7080 7104 7220 7296 7434 7552 7581 7770 7847 7980 8064 8214 8260 8288 8436 8496 8512 8664 8732 8880 8960 8968 9120 9324 9440 9472 9576 9583 9842 9912 10080 10089 10108 10360 10443 10545 10620 10640 10656 10830 10915 10944 10952 11210 11248 11328 11520 11552 11655 11840 11970 12160 12321 12390 12432 12635 12654 12768 12996 13098 13216 13320 13357 13440 13452 13680 13690 13924 14060 14160 14208 14440 14592 14763 14868 15104 15162 15281 15540 15694 15960 16128 16245 16428 16520 16576 16815 16872 16992 17024 17328 17405 17464 17760 17936 18240 18585 18648 18880 19152 19166 19647 19684 19824 20160 20178 20216 20535 20720 20886 21090 21240 21280 21299 21312 21660 21830 21888 21904 22420 22496 22656 22743 23104 23310 23541 23680 23940 24320 24367 24605 24642 24780 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535630659840 541907581635 550509289280 578034753744 587831952960 608457635520 619322950440 624902436480 660611147136 722543442180 730149162624 749882923776 770713004992 783775937280 811276847360 825763933920 867052130616 912686453280 937353654720 963391256240 990916720704 1043070232320 1083815163270 1101018578560 1156069507488 1175663905920 1216915271040 1238645900880 1249804872960 1321222294272 1445086884360 1460298325248 1541426009984 1651527867840 1734104261232 1825372906560 1874707309440 1926782512480 1981833441408 2167630326540 2202037157120 2312139014976 2351327811840 2433830542080 2477291801760 2890173768720 3082852019968 3303055735680 3468208522464 3650745813120 3749414618880 3853565024960 3963666882816 4335260653080 4624278029952 4954583603520 5780347537440 6606111471360 6936417044928 7301491626240 7707130049920 8670521306160 9248556059904 9909167207040 11560695074880 13872834089856 15414260099840 17341042612320 19818334414080 23121390149760 27745668179712 34682085224640 46242780299520 69364170449280 138728340898560
- Sum of all divisors σ(n): 605271868791408
- Sum of proper divisors (its aliquot sum) s(n): 466543527892848
- 138728340898560 is an abundant number, because the sum of its proper divisors (466543527892848) is greater than itself. Its abundance is 327815186994288
Bases of 138728340898560
- Binary: 111111000101100001101010111101011000011000000002
- Hexadecimal: 0x7E2C357AC300
- Base-36: 1D6AX4B7K0
Squares and roots of 138728340898560
- 138728340898560 squared (1387283408985602) is 19245552568467075188210073600
- 138728340898560 cubed (1387283408985603) is 2669903577499457401437346162923867734016000
-
The
square root of 138728340898560 is 11778299.5758538931 -
The
cube root of 138728340898560 is 51767.2463415181
Scales and comparisons
How big is 138728340898560?- 138,728,340,898,560 seconds is equal to 4,411,132 years, 6 weeks, 3 days, 17 hours, 36 minutes.
-
To count from 1 to 138,728,340,898,560 would take you about eleven million, twenty-seven thousand, eight hundred thirty 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 138728340898560 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138728340898560
- 138728340898560 backwards is 065898043827831
- 138728340898560 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138728340898560's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 138728340898560 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 138728340898560 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138728340898560/
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Numbermatics. 2024. "Number 138728340898560 - Facts about the integer". https://numbermatics.com/n/138728340898560/
The information we have on file for 138728340898560 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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