138400548464640
138,400,548,464,640 is an even composite number composed of eight prime numbers multiplied together.
138400548464640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138400548464640:
211 × 3 × 5 × 7 × 11 × 31 × 61 × 30941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 31 × 61 × 30941)See below for interesting mathematical facts about the number 138400548464640 from the Numbermatics database.
Names of 138400548464640
- Cardinal: 138400548464640 can be written as One hundred thirty-eight trillion, four hundred billion, five hundred forty-eight million, four hundred sixty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3840054846464 × 1014
Factors of 138400548464640
Divisors of 138400548464640
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 31 32 33 35 40 42 44 48 55 56 60 61 62 64 66 70 77 80 84 88 93 96 105 110 112 120 122 124 128 132 140 154 155 160 165 168 176 183 186 192 210 217 220 224 231 240 244 248 256 264 280 305 308 310 320 330 336 341 352 366 372 384 385 420 427 434 440 448 462 465 480 488 496 512 528 560 610 616 620 640 651 660 671 672 682 704 732 744 768 770 840 854 868 880 896 915 924 930 960 976 992 1023 1024 1056 1085 1120 1155 1220 1232 1240 1280 1281 1302 1320 1342 1344 1364 1408 1464 1488 1536 1540 1680 1705 1708 1736 1760 1792 1830 1848 1860 1891 1920 1952 1984 2013 2046 2048 2112 2135 2170 2240 2310 2387 2440 2464 2480 2560 2562 2604 2640 2684 2688 2728 2816 2928 2976 3072 3080 3255 3355 3360 3410 3416 3472 3520 3584 3660 3696 3720 3782 3840 3904 3968 4026 4092 4224 4270 4340 4480 4620 4697 4774 4880 4928 4960 5115 5120 5124 5208 5280 5368 5376 5456 5632 5673 5856 5952 6144 6160 6405 6510 6710 6720 6820 6832 6944 7040 7161 7168 7320 7392 7440 7564 7680 7808 7936 8052 8184 8448 8540 8680 8960 9240 9394 9455 9548 9760 9856 9920 10065 10230 10240 10248 10416 10560 10736 10752 10912 11264 11346 11712 11904 11935 12320 12810 13020 13237 13420 13440 13640 13664 13888 14080 14091 14322 14336 14640 14784 14880 15128 15360 15616 15872 16104 16368 16896 17080 17360 17920 18480 18788 18910 19096 19520 19712 19840 20130 20460 20496 20801 20832 21120 21472 21504 21824 22528 22692 23424 23485 23808 23870 24640 25620 26040 26474 26840 26880 27280 27328 27776 28160 28182 28365 28644 29280 29568 29760 30256 30720 30941 31232 31744 32208 32736 33792 34160 34720 35805 35840 36960 37576 37820 38192 39040 39424 39680 39711 40260 40920 40992 41602 41664 42240 42944 43008 43648 45384 46848 46970 47616 47740 49280 51240 52080 52948 53680 53760 54560 54656 55552 56320 56364 56730 57288 58560 59136 59520 60512 61882 62403 62464 63488 64416 65472 66185 67584 68320 69440 70455 71610 71680 73920 75152 75640 76384 78080 78848 79360 79422 80520 81840 81984 83204 83328 84480 85888 87296 90768 92823 93696 93940 95232 95480 98560 102480 104005 104160 105896 107360 107520 109120 109312 111104 112640 112728 113460 114576 117120 118272 119040 121024 123764 124806 124928 128832 130944 132370 136640 138880 140910 143220 145607 147840 150304 151280 152768 154705 156160 157696 158720 158844 161040 163680 163968 166408 166656 168960 171776 174592 181536 185646 187392 187880 190464 190960 197120 198555 204960 208010 208320 211792 214720 215040 216587 218240 218624 222208 225456 226920 229152 234240 236544 238080 242048 247528 249612 257664 261888 264740 273280 277760 281820 286440 291214 295680 300608 302560 305536 309410 312015 312320 317440 317688 322080 327360 327936 332816 333312 337920 340351 343552 349184 363072 371292 374784 375760 381920 394240 397110 409920 416020 416640 423584 429440 433174 436480 436821 437248 444416 450912 453840 458304 464115 468480 473088 476160 484096 495056 499224 515328 523776 529480 546560 555520 563640 572880 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14042263440 14180384064 14495239680 14637815808 14732866560 14978414336 15446489784 15944763648 16206153216 16382640680 16911112960 17188344320 17439585240 17725480080 18020904748 18297269760 18602224256 18723017920 18907178752 19308112230 19326986240 19659168816 19930954560 20257691520 20293335552 20595319712 20626013184 21259684864 21608204288 22467621504 22526130935 23252780320 23633973440 24396359680 24573961020 25366669440 25744149640 25782516480 26212225088 26574606080 27010255360 27031357122 27057780736 27903336384 28084526880 28360768128 28990479360 29465733120 29956828672 30892979568 31889527296 32412306432 32765281360 33822225920 34376688640 34879170480 35450960160 36041809496 36594539520 37204448512 37446035840 37814357504 38616224460 39318337632 39861909120 40515383040 40586671104 41190639424 41252026368 42519369728 44935243008 45052261870 46505560640 47267946880 49147922040 50733338880 51488299280 51565032960 52424450176 53149212160 54020510720 54062714244 55806672768 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314546701056 318895272960 324123064320 329525115392 359481944064 360418094960 372044485120 378143575040 393183376320 405866711040 411906394240 419395601408 432501713952 446453382144 449352430080 453772290048 494287673088 524244501760 540627142440 558066727680 567215362560 576668951936 599136573440 617859591360 629093402112 637790545920 659050230784 720836189920 744088970240 756287150080 786366752640 823812788480 838791202816 865003427904 892906764288 898704860160 988575346176 1048489003520 1081254284880 1116133455360 1134430725120 1153337903872 1235719182720 1258186804224 1318100461568 1441672379840 1488177940480 1572733505280 1647625576960 1730006855808 1797409720320 1977150692352 2096978007040 2162508569760 2232266910720 2268861450240 2306675807744 2471438365440 2516373608448 2883344759680 3145467010560 3295251153920 3460013711616 3954301384704 4193956014080 4325017139520 4464533821440 4613351615488 4942876730880 5766689519360 6290934021120 6590502307840 6920027423232 8650034279040 9226703230976 9885753461760 11533379038720 12581868042240 13840054846464 17300068558080 19771506923520 23066758077440 27680109692928 34600137116160 46133516154880 69200274232320 138400548464640
- Sum of all divisors σ(n): 579197169008640
- Sum of proper divisors (its aliquot sum) s(n): 440796620544000
- 138400548464640 is an abundant number, because the sum of its proper divisors (440796620544000) is greater than itself. Its abundance is 302396072079360
Bases of 138400548464640
- Binary: 111110111011111111000111000011100101000000000002
- Hexadecimal: 0x7DDFE3872800
- Base-36: 1D24C15QTC
Squares and roots of 138400548464640
- 138400548464640 squared (1384005484646402) is 19154711815313165461330329600
- 138400548464640 cubed (1384005484646403) is 2651022620921462189329899625613145145344000
-
The
square root of 138400548464640 is 11764376.2463056237 -
The
cube root of 138400548464640 is 51726.4416675285
Scales and comparisons
How big is 138400548464640?- 138,400,548,464,640 seconds is equal to 4,400,709 years, 17 weeks, 4 days, 19 hours, 44 minutes.
-
To count from 1 to 138,400,548,464,640 would take you about eleven million, one thousand, seven hundred seventy-three 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 138400548464640 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138400548464640
- 138400548464640 backwards is 046464845004831
- The number of decimal digits it has is: 15
- The sum of 138400548464640's digits is 57
- More coming soon!
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"Number 138400548464640 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138400548464640 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138400548464640/
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The information we have on file for 138400548464640 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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