137113319808000
137,113,319,808,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137113319808000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1408 divisors.
137113319808000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 137113319808000:
210 × 33 × 53 × 433 × 499
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 43 × 43 × 43 × 499)See below for interesting mathematical facts about the number 137113319808000 from the Numbermatics database.
Names of 137113319808000
- Cardinal: 137113319808000 can be written as One hundred thirty-seven trillion, one hundred thirteen billion, three hundred nineteen million, eight hundred eight thousand.
Scientific notation
- Scientific notation: 1.37113319808 × 1014
Factors of 137113319808000
Divisors of 137113319808000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 43 45 48 50 54 60 64 72 75 80 86 90 96 100 108 120 125 128 129 135 144 150 160 172 180 192 200 215 216 225 240 250 256 258 270 288 300 320 344 360 375 384 387 400 430 432 450 480 499 500 512 516 540 576 600 640 645 675 688 720 750 768 774 800 860 864 900 960 998 1000 1024 1032 1075 1080 1125 1152 1161 1200 1280 1290 1350 1376 1440 1497 1500 1536 1548 1600 1720 1728 1800 1849 1920 1935 1996 2000 2064 2150 2160 2250 2304 2322 2400 2495 2560 2580 2700 2752 2880 2994 3000 3072 3096 3200 3225 3375 3440 3456 3600 3698 3840 3870 3992 4000 4128 4300 4320 4491 4500 4608 4644 4800 4990 5120 5160 5375 5400 5504 5547 5760 5805 5988 6000 6192 6400 6450 6750 6880 6912 7200 7396 7485 7680 7740 7984 8000 8256 8600 8640 8982 9000 9216 9245 9288 9600 9675 9980 10320 10750 10800 11008 11094 11520 11610 11976 12000 12384 12475 12800 12900 13473 13500 13760 13824 14400 14792 14970 15360 15480 15968 16000 16125 16512 16641 17200 17280 17964 18000 18490 18576 19200 19350 19960 20640 21457 21500 21600 22016 22188 22455 23040 23220 23952 24000 24768 24950 25600 25800 26946 27000 27520 27648 27735 28800 29025 29584 29940 30960 31936 32000 32250 33024 33282 34400 34560 35928 36000 36980 37152 37425 38400 38700 39920 41280 42914 43000 43200 44032 44376 44910 46080 46225 46440 47904 48000 48375 49536 49900 49923 51600 53892 54000 55040 55470 57600 58050 59168 59880 61920 62375 63872 64000 64371 64500 66048 66564 67365 68800 69120 71856 72000 73960 74304 74850 76800 77400 79507 79840 82560 83205 85828 86000 86400 88752 89820 92450 92880 95808 96000 96750 99072 99800 99846 103200 107285 107784 108000 110080 110940 112275 115200 116100 118336 119760 123840 124750 127744 128000 128742 129000 132096 133128 134730 137600 138240 138675 143712 144000 145125 147920 148608 149700 154800 159014 159680 165120 166410 171656 172000 172800 177504 179640 184900 185760 187125 191616 192000 193113 193500 198144 199600 199692 206400 214570 215568 216000 220160 221880 224550 230400 231125 232200 236672 238521 239520 247680 249500 249615 255488 257484 258000 266256 269460 275200 277350 287424 288000 290250 295840 297216 299400 309600 318028 319360 321855 330240 332820 336825 343312 344000 345600 355008 359280 369800 371520 374250 383232 384000 386226 387000 396288 397535 399200 399384 412800 416025 429140 431136 432000 443760 449100 462250 464400 473344 477042 479040 495360 499000 499230 510976 514968 516000 532512 536425 538920 550400 554700 561375 574848 576000 579339 580500 591680 594432 598800 619200 636056 638720 643710 660480 665640 673650 686624 688000 691200 693375 710016 715563 718560 739600 743040 748500 766464 772452 774000 795070 798400 798768 825600 832050 858280 862272 864000 887520 898200 922651 924500 928800 946688 954084 958080 965565 990720 998000 998460 1029936 1032000 1065024 1072850 1077840 1100800 1109400 1122750 1149696 1152000 1158678 1161000 1183360 1188864 1192605 1197600 1238400 1248075 1272112 1277440 1287420 1331280 1347300 1373248 1376000 1386750 1420032 1431126 1437120 1479200 1486080 1497000 1532928 1544904 1548000 1590140 1596800 1597536 1609275 1651200 1664100 1684125 1716560 1724544 1728000 1775040 1796400 1845302 1849000 1857600 1893376 1908168 1916160 1931130 1981440 1987675 1996000 1996920 2059872 2064000 2080125 2130048 2145700 2146689 2155680 2218800 2245500 2299392 2317356 2322000 2366720 2385210 2395200 2476800 2496150 2544224 2554880 2574840 2662560 2682125 2694600 2746496 2752000 2767953 2773500 2840064 2862252 2874240 2896695 2958400 2972160 2994000 3089808 3096000 3180280 3193600 3195072 3218550 3302400 3328200 3368250 3433120 3449088 3456000 3550080 3577815 3592800 3690604 3698000 3715200 3816336 3832320 3862260 3975350 3992000 3993840 4119744 4128000 4160250 4260096 4291400 4293378 4311360 4437600 4491000 4598784 4613255 4634712 4644000 4733440 4770420 4790400 4827825 4953600 4992300 5088448 5149680 5325120 5364250 5389200 5492992 5504000 5535906 5547000 5680128 5724504 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286225200 287424000 289669500 295248320 296621568 305306880 308980800 317391944 318028000 319507200 329579520 332154360 343312000 343470240 344908800 345994125 354297984 355008000 357065937 357781500 366368256 369060400 370776960 381633600 386226000 396739930 398585232 399384000 407075840 411974400 415192950 426009600 429337800 431136000 442872480 457960320 461325500 463471200 472397312 476087916 477042000 494369280 498231540 508844800 514968000 531446976 532512000 536672250 549299200 549552384 553590600 572450400 574848000 579339000 590496640 593243136 595109895 610613760 617961600 622789425 634783888 636056000 639014400 664308720 686624000 686940480 691988250 708595968 710016000 714131874 715563000 732736512 738120800 741553920 763267200 772452000 793479860 797170464 798768000 823948800 830385900 858675600 862272000 885744960 915920640 922651000 926942400 944794624 952175832 954084000 988738560 991849825 996463080 1017689600 1029936000 1037982375 1062893952 1065024000 1071197811 1073344500 1099104768 1107181200 1144900800 1158678000 1180993280 1190219790 1221227520 1235923200 1245578850 1269567776 1272112000 1278028800 1328617440 1373248000 1373880960 1383976500 1417191936 1428263748 1431126000 1476241600 1483107840 1526534400 1544904000 1586959720 1594340928 1597536000 1647897600 1660771800 1717351200 1724544000 1771489920 1785329685 1831841280 1845302000 1853884800 1904351664 1908168000 1983699650 1992926160 2035379200 2059872000 2075964750 2125787904 2130048000 2142395622 2146689000 2198209536 2214362400 2289801600 2317356000 2361986560 2380439580 2471846400 2491157700 2539135552 2544224000 2657234880 2746496000 2747761920 2767953000 2834383872 2856527496 2862252000 2952483200 2966215680 2975549475 3053068800 3089808000 3113947125 3173919440 3188681856 3195072000 3321543600 3434702400 3542979840 3570659370 3663682560 3690604000 3707769600 3808703328 3816336000 3967399300 3985852320 4119744000 4151929500 4251575808 4284791244 4293378000 4428724800 4579603200 4634712000 4723973120 4760879160 4943692800 4959249125 4982315400 5078271104 5088448000 5314469760 5355989055 5495523840 5535906000 5713054992 5724504000 5904966400 5951098950 6106137600 6179616000 6227894250 6347838880 6377363712 6390144000 6643087200 6869404800 7085959680 7141318740 7381208000 7415539200 7617406656 7632672000 7934798600 7971704640 8239488000 8303859000 8503151616 8569582488 8586756000 8857449600 8926648425 9159206400 9269424000 9521758320 9918498250 9964630800 10156542208 10176896000 10628939520 10711978110 10991047680 11071812000 11426109984 11449008000 11809932800 11902197900 12359232000 12455788500 12695677760 12754727424 13286174400 13738809600 14171919360 14282637480 14762416000 14831078400 14877747375 15234813312 15265344000 15869597200 15943409280 16607718000 17139164976 17173512000 17714899200 17853296850 18318412800 18538848000 19043516640 19836996500 19929261600 20313084416 21257879040 21423956220 22143624000 22852219968 22898016000 23619865600 23804395800 24718464000 24911577000 25391355520 25509454848 26572348800 26779945275 27477619200 28565274960 29524832000 29755494750 30469626624 30530688000 31739194400 31886818560 33215436000 34278329952 34347024000 35429798400 35706593700 37077696000 38087033280 39673993000 39858523200 40626168832 42515758080 42847912440 44287248000 44633242125 45704439936 45796032000 47608791600 49823154000 50782711040 53144697600 53559890550 54955238400 57130549920 59049664000 59510989500 60939253248 63478388800 63773637120 66430872000 68556659904 68694048000 70859596800 71413187400 74155392000 76174066560 79347986000 79717046400 85695824880 88574496000 89266484250 91408879872 91592064000 95217583200 99646308000 101565422080 106289395200 107119781100 114261099840 118099328000 119021979000 121878506496 126956777600 127547274240 132861744000 133899726375 137113319808 137388096000 142826374800 152348133120 158695972000 159434092800 171391649760 177148992000 178532968500 182817759744 190435166400 199292616000 203130844160 212578790400 214239562200 228522199680 238043958000 253913555200 265723488000 267799452750 274226639616 274776192000 285652749600 304696266240 317391944000 318868185600 342783299520 354297984000 357065937000 365635519488 380870332800 398585232000 428479124400 457044399360 476087916000 507827110400 531446976000 535598905500 548453279232 571305499200 609392532480 634783888000 637736371200 685566599040 714131874000 761740665600 797170464000 856958248800 914088798720 952175832000 1015654220800 1062893952000 1071197811000 1096906558464 1142610998400 1269567776000 1371133198080 1428263748000 1523481331200 1594340928000 1713916497600 1828177597440 1904351664000 2142395622000 2285221996800 2539135552000 2742266396160 2856527496000 3046962662400 3188681856000 3427832995200 3808703328000 4284791244000 4570443993600 5078271104000 5484532792320 5713054992000 6855665990400 7617406656000 8569582488000 9140887987200 11426109984000 13711331980800 15234813312000 17139164976000 22852219968000 27422663961600 34278329952000 45704439936000 68556659904000 137113319808000
- Sum of all divisors σ(n): 519872496000000
- Sum of proper divisors (its aliquot sum) s(n): 382759176192000
- 137113319808000 is an abundant number, because the sum of its proper divisors (382759176192000) is greater than itself. Its abundance is 245645856384000
Bases of 137113319808000
- Binary: 111110010110100001011101011100010011100000000002
- Hexadecimal: 0x7CB42EB89C00
- Base-36: 1CLOZMGAO0
Squares and roots of 137113319808000
- 137113319808000 squared (1371133198080002) is 18800062468770885156864000000
- 137113319808000 cubed (1371133198080003) is 2577738977690960389192333878362112000000000
-
The
square root of 137113319808000 is 11709539.6924046507 -
The
cube root of 137113319808000 is 51565.5770411513
Scales and comparisons
How big is 137113319808000?- 137,113,319,808,000 seconds is equal to 4,359,779 years, 23 weeks, 3 days.
-
To count from 1 to 137,113,319,808,000 would take you about ten million, eight hundred ninety-nine thousand, four hundred forty-eight 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 137113319808000 cubic inches would be around 4297.1 feet tall.
Recreational maths with 137113319808000
- 137113319808000 backwards is 000808913311731
- 137113319808000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137113319808000's digits is 45
- More coming soon!
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"Number 137113319808000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 137113319808000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/137113319808000/
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The information we have on file for 137113319808000 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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