138664824000
138,664,824,000 is an even composite number composed of six prime numbers multiplied together.
138664824000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138664824000:
26 × 3 × 53 × 137 × 181 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 137 × 181 × 233)See below for interesting mathematical facts about the number 138664824000 from the Numbermatics database.
Names of 138664824000
- Cardinal: 138664824000 can be written as One hundred thirty-eight billion, six hundred sixty-four million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38664824 × 1011
Factors of 138664824000
Divisors of 138664824000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 137 150 160 181 192 200 233 240 250 274 300 320 362 375 400 411 466 480 500 543 548 600 685 699 724 750 800 822 905 932 960 1000 1086 1096 1165 1200 1370 1398 1448 1500 1600 1644 1810 1864 2000 2055 2172 2192 2330 2400 2715 2740 2796 2896 3000 3288 3425 3495 3620 3728 4000 4110 4344 4384 4525 4660 4800 5430 5480 5592 5792 5825 6000 6576 6850 6990 7240 7456 8000 8220 8688 8768 9050 9320 10275 10860 10960 11184 11584 11650 12000 13152 13575 13700 13980 14480 14912 16440 17125 17376 17475 18100 18640 20550 21720 21920 22368 22625 23300 24000 24797 26304 27150 27400 27960 28960 29125 31921 32880 34250 34752 34950 36200 37280 41100 42173 43440 43840 44736 45250 46600 49594 51375 54300 54800 55920 57920 58250 63842 65760 67875 68500 69900 72400 74391 74560 82200 84346 86880 87375 90500 93200 95763 99188 102750 108600 109600 111840 116500 123985 126519 127684 131520 135750 137000 139800 144800 148782 159605 164400 168692 173760 174750 181000 186400 191526 198376 205500 210865 217200 219200 223680 233000 247970 253038 255368 271500 274000 279600 289600 297564 319210 328800 337384 349500 362000 371955 372800 383052 396752 411000 421730 434400 466000 478815 495940 506076 510736 543000 548000 559200 595128 619925 632595 638420 657600 674768 699000 724000 743910 766104 793504 798025 822000 843460 868800 932000 957630 991880 1012152 1021472 1054325 1086000 1096000 1118400 1190256 1239850 1265190 1276840 1349536 1398000 1448000 1487820 1532208 1587008 1596050 1644000 1686920 1859775 1864000 1915260 1983760 2024304 2042944 2108650 2172000 2380512 2394075 2479700 2530380 2553680 2699072 2796000 2975640 3064416 3099625 3162975 3192100 3288000 3373840 3719550 3830520 3967520 3990125 4048608 4217300 4344000 4761024 4788150 4959400 5060760 5107360 5271625 5592000 5777701 5951280 6128832 6199250 6325950 6384200 6747680 7439100 7661040 7935040 7980250 8097216 8434600 9298875 9576300 9918800 10121520 10214720 10543250 11555402 11902560 11970375 12398500 12651900 12768400 13495360 14878200 15322080 15814875 15960500 16869200 17333103 18597750 19152600 19837600 20243040 21086500 23110804 23805120 23940750 24797000 25303800 25536800 28888505 29756400 30644160 31629750 31921000 33738400 34666206 37195500 38305200 39675200 40486080 42173000 46221608 47881500 49594000 50607600 51073600 57777010 59512800 63259500 63842000 67476800 69332412 74391000 76610400 84346000 86665515 92443216 95763000 99188000 101215200 115554020 119025600 126519000 127684000 138664824 144442525 148782000 153220800 168692000 173331030 184886432 191526000 198376000 202430400 231108040 253038000 255368000 277329648 288885050 297564000 337384000 346662060 369772864 383052000 433327575 462216080 506076000 554659296 577770100 595128000 693324120 722212625 766104000 866655150 924432160 1012152000 1109318592 1155540200 1386648240 1444425250 1733310300 1848864320 2166637875 2311080400 2773296480 2888850500 3466620600 4333275750 4622160800 5546592960 5777701000 6933241200 8666551500 9244321600 11555402000 13866482400 17333103000 23110804000 27732964800 34666206000 46221608000 69332412000 138664824000
- Sum of all divisors σ(n): 465751907712
- Sum of proper divisors (its aliquot sum) s(n): 327087083712
- 138664824000 is an abundant number, because the sum of its proper divisors (327087083712) is greater than itself. Its abundance is 188422259712
Bases of 138664824000
- Binary: 100000010010010001000101001100110000002
- Hexadecimal: 0x2049114CC0
- Base-36: 1RP9GEYO
Squares and roots of 138664824000
- 138664824000 squared (1386648240002) is 19227933414950976000000
- 138664824000 cubed (1386648240003) is 2666238002867896055668224000000000
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The
square root of 138664824000 is 372377.2603153957 -
The
cube root of 138664824000 is 5175.9344574991
Scales and comparisons
How big is 138664824000?- 138,664,824,000 seconds is equal to 4,409 years, 5 weeks, 5 days, 22 hours, 40 minutes.
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To count from 1 to 138,664,824,000 would take you about eight thousand, eight hundred eighteen 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 138664824000 cubic inches would be around 431.3 feet tall.
Recreational maths with 138664824000
- 138664824000 backwards is 000428466831
- The number of decimal digits it has is: 12
- The sum of 138664824000's digits is 42
- More coming soon!
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