20438673840
20,438,673,840 is an even composite number composed of six prime numbers multiplied together.
What does the number 20438673840 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
20438673840 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 20438673840:
24 × 33 × 5 × 13 × 412 × 433
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 41 × 41 × 433)See below for interesting mathematical facts about the number 20438673840 from the Numbermatics database.
Names of 20438673840
- Cardinal: 20438673840 can be written as Twenty billion, four hundred thirty-eight million, six hundred seventy-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 2.043867384 × 1010
Factors of 20438673840
Divisors of 20438673840
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 41 45 48 52 54 60 65 72 78 80 82 90 104 108 117 120 123 130 135 144 156 164 180 195 205 208 216 234 240 246 260 270 312 328 351 360 369 390 410 432 433 468 492 520 533 540 585 615 624 656 702 720 738 780 820 866 936 984 1040 1066 1080 1107 1170 1230 1299 1404 1476 1560 1599 1640 1681 1732 1755 1845 1872 1968 2132 2160 2165 2214 2340 2460 2598 2665 2808 2952 3120 3198 3280 3362 3464 3510 3690 3897 4264 4330 4428 4680 4797 4920 5043 5196 5330 5535 5616 5629 5904 6396 6495 6724 6928 7020 7380 7794 7995 8405 8528 8660 8856 9360 9594 9840 10086 10392 10660 11070 11258 11691 12792 12990 13448 14040 14391 14760 15129 15588 15990 16810 16887 17320 17712 17753 19188 19485 20172 20784 21320 21853 22140 22516 23382 23985 25215 25584 25980 26896 28080 28145 28782 29520 30258 31176 31980 33620 33774 34640 35506 38376 38970 40344 42640 43706 44280 45032 45387 46764 47970 50430 50661 51960 53259 56290 57564 58455 60516 62352 63960 65559 67240 67548 71012 71955 75645 76752 77940 80688 84435 87412 88560 88765 90064 90774 93528 95940 100860 101322 103920 106518 109265 112580 115128 116910 121032 127920 131118 134480 135096 142024 143910 151290 151983 155880 159777 168870 174824 177530 181548 187056 191880 196677 201720 202644 213036 218530 225160 226935 230256 230789 233820 242064 253305 262236 266295 270192 284048 287820 302580 303966 311760 319554 327795 337740 349648 355060 363096 383760 393354 403440 405288 426072 437060 450320 453870 461578 467640 479331 506610 524472 532590 575640 590031 605160 607932 639108 655590 675480 692367 710120 726192 727873 759915 786708 798885 810576 852144 874120 907740 923156 935280 958662 983385 1013220 1048944 1065180 1151280 1153945 1180062 1210320 1215864 1278216 1311180 1350960 1384734 1420240 1455746 1519830 1573416 1597770 1748240 1815480 1846312 1917324 1966770 2026440 2077101 2130360 2183619 2307890 2360124 2396655 2431728 2556432 2622360 2769468 2911492 2950155 3039660 3146832 3195540 3461835 3630960 3639365 3692624 3834648 3933540 4052880 4154202 4260720 4367238 4615780 4720248 4793310 5244720 5538936 5822984 5900310 6079320 6231303 6391080 6550857 6923670 7278730 7669296 7867080 8308404 8734476 9231560 9440496 9462349 9586620 10385505 10918095 11077872 11645968 11800620 12158640 12462606 12782160 13101714 13847340 14557460 15734160 16616808 17468952 18463120 18924698 19173240 19652571 20771010 21836190 23601240 24925212 26203428 27694680 28387047 29114920 31156515 32754285 33233616 34937904 37849396 38346480 39305142 41542020 43672380 47202480 47311745 49850424 52406856 55389360 56774094 58229840 62313030 65508570 75698792 78610284 83084040 85161141 87344760 94623490 98262855 99700848 104813712 113548188 124626060 131017140 141935235 151397584 157220568 166168080 170322282 174689520 189246980 196525710 227096376 249252120 255483423 262034280 283870470 314441136 340644564 378493960 393051420 425805705 454192752 498504240 510966846 524068560 567740940 681289128 756987920 786102840 851611410 1021933692 1135481880 1277417115 1362578256 1572205680 1703222820 2043867384 2270963760 2554834230 3406445640 4087734768 5109668460 6812891280 10219336920 20438673840
- Sum of all divisors σ(n): 77888973120
- Sum of proper divisors (its aliquot sum) s(n): 57450299280
- 20438673840 is an abundant number, because the sum of its proper divisors (57450299280) is greater than itself. Its abundance is 37011625440
Bases of 20438673840
- Binary: 100110000100011110101101001101100002
- Hexadecimal: 0x4C23D69B0
- Base-36: 9E0NPO0
Squares and roots of 20438673840
- 20438673840 squared (204386738402) is 417739388337900345600
- 20438673840 cubed (204386738403) is 8538039108359444874141679104000
-
The
square root of 20438673840 is 142963.8899862479 -
The
cube root of 20438673840 is 2734.1199957965
Scales and comparisons
How big is 20438673840?- 20,438,673,840 seconds is equal to 649 years, 46 weeks, 17 hours, 24 minutes.
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To count from 1 to 20,438,673,840 would take you about one thousand, two hundred ninety-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 20438673840 cubic inches would be around 227.8 feet tall.
Recreational maths with 20438673840
- 20438673840 backwards is 04837683402
- 20438673840 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 20438673840's digits is 45
- More coming soon!
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