5138817344640
5,138,817,344,640 is an even composite number composed of six prime numbers multiplied together.
5138817344640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 5138817344640:
27 × 37 × 5 × 72 × 31 × 2417
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 31 × 2417)See below for interesting mathematical facts about the number 5138817344640 from the Numbermatics database.
Names of 5138817344640
- Cardinal: 5138817344640 can be written as Five trillion, one hundred thirty-eight billion, eight hundred seventeen million, three hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 5.13881734464 × 1012
Factors of 5138817344640
Divisors of 5138817344640
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 49 54 56 60 62 63 64 70 72 80 81 84 90 93 96 98 105 108 112 120 124 126 128 135 140 144 147 155 160 162 168 180 186 189 192 196 210 216 217 224 240 243 245 248 252 270 279 280 288 294 310 315 320 324 336 360 372 378 384 392 405 420 432 434 441 448 465 480 486 490 496 504 540 558 560 567 576 588 620 630 640 648 651 672 720 729 735 744 756 784 810 837 840 864 868 882 896 930 945 960 972 980 992 1008 1080 1085 1116 1120 1134 1152 1176 1215 1240 1260 1296 1302 1323 1344 1395 1440 1458 1470 1488 1512 1519 1568 1620 1674 1680 1701 1728 1736 1764 1860 1890 1920 1944 1953 1960 1984 2016 2160 2170 2187 2205 2232 2240 2268 2352 2417 2430 2480 2511 2520 2592 2604 2646 2688 2790 2835 2880 2916 2940 2976 3024 3038 3136 3240 3255 3348 3360 3402 3456 3472 3528 3645 3720 3780 3888 3906 3920 3968 3969 4032 4185 4320 4340 4374 4410 4464 4480 4536 4557 4704 4834 4860 4960 5022 5040 5103 5184 5208 5292 5580 5670 5760 5832 5859 5880 5952 6048 6076 6272 6480 6510 6615 6696 6720 6804 6944 7056 7251 7290 7440 7533 7560 7595 7776 7812 7840 7938 8064 8370 8505 8640 8680 8748 8820 8928 9072 9114 9408 9668 9720 9765 9920 10044 10080 10206 10368 10416 10584 10935 11160 11340 11664 11718 11760 11904 11907 12085 12096 12152 12555 12960 13020 13230 13392 13440 13608 13671 13888 14112 14502 14580 14880 15066 15120 15190 15309 15552 15624 15680 15876 16740 16919 17010 17280 17360 17496 17577 17640 17856 18144 18228 18816 19336 19440 19530 19840 19845 20088 20160 20412 20832 21168 21753 21870 22320 22599 22680 22785 23328 23436 23520 23814 24170 24192 24304 25110 25515 25920 26040 26460 26784 27216 27342 27776 28224 29004 29160 29295 29760 30132 30240 30380 30618 31104 31248 31360 31752 33480 33838 34020 34720 34992 35154 35280 35712 35721 36255 36288 36456 37665 38672 38880 39060 39690 40176 40320 40824 41013 41664 42336 43506 43740 44640 45198 45360 45570 46656 46872 47040 47628 48340 48608 50220 50757 51030 51840 52080 52731 52920 53568 54432 54684 56448 58008 58320 58590 59520 59535 60264 60480 60760 61236 62496 63504 65259 66960 67676 67797 68040 68355 69440 69984 70308 70560 71442 72510 72576 72912 74927 75330 76545 77344 77760 78120 79380 80352 81648 82026 83328 84595 84672 87012 87480 87885 89280 90396 90720 91140 93312 93744 94080 95256 96680 97216 100440 101514 102060 104160 105462 105840 107136 107163 108765 108864 109368 112995 116016 116640 117180 118433 119070 120528 120960 121520 122472 123039 124992 127008 130518 133920 135352 135594 136080 136710 138880 139968 140616 141120 142884 145020 145824 149854 150660 152271 153090 154688 155520 156240 158193 158760 160704 163296 164052 169190 169344 174024 174960 175770 178560 178605 180792 181440 182280 187488 190512 193360 194432 195777 200880 203028 204120 205065 208320 210924 211680 214326 217530 217728 218736 224781 225990 232032 233280 234360 236866 238140 241056 243040 244944 246078 249984 253785 254016 261036 263655 267840 270704 271188 272160 273420 279936 281232 282240 285768 290040 291648 299708 301320 304542 306180 309376 312480 316386 317520 321408 326295 326592 328104 338380 338985 348048 349920 351540 355299 357210 361584 362880 364560 369117 374635 374976 381024 386720 391554 401760 406056 408240 410130 416640 421848 423360 428652 435060 437472 449562 451980 456813 464064 466560 468720 473732 474579 476280 482112 486080 489888 492156 507570 508032 522072 524489 527310 535680 535815 541408 542376 544320 546840 562464 571536 580080 583296 587331 592165 599416 602640 609084 612360 615195 624960 632772 635040 652590 653184 656208 674343 676760 677970 696096 699840 703080 710598 714420 723168 729120 738234 749270 749952 761355 762048 773440 783108 790965 803520 812112 816480 820260 843696 846720 857304 870120 874944 899124 903960 913626 928128 937440 947464 949158 952560 964224 972160 978885 979776 984312 1015140 1044144 1048978 1054620 1065897 1071630 1082816 1084752 1088640 1093680 1107351 1123905 1124928 1143072 1160160 1174662 1184330 1198832 1205280 1218168 1224720 1230390 1249920 1265544 1270080 1305180 1312416 1348686 1353520 1355940 1370439 1392192 1399680 1406160 1421196 1428840 1446336 1458240 1476468 1498540 1522710 1524096 1546880 1566216 1573467 1581930 1607040 1624224 1632960 1640520 1687392 1714608 1740240 1749888 1761993 1776495 1798248 1807920 1827252 1845585 1874880 1894928 1898316 1905120 1957770 1959552 1968624 2023029 2030280 2088288 2097956 2109240 2131794 2143260 2165632 2169504 2187360 2214702 2247810 2249856 2284065 2286144 2320320 2349324 2368660 2372895 2397664 2410560 2436336 2449440 2460780 2531088 2540160 2610360 2622445 2624832 2697372 2707040 2711880 2740878 2784384 2812320 2842392 2857680 2892672 2916480 2936655 2952936 2997080 3045420 3132432 3146934 3163860 3197691 3248448 3265920 3281040 3322053 3371715 3374784 3429216 3480480 3523986 3552990 3596496 3615840 3654504 3671423 3691170 3749760 3789856 3796632 3810240 3915540 3937248 4046058 4060560 4111317 4176576 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546217830 563837760 566448120 575584380 582632352 587427680 592029648 594770526 604211328 613956672 637254135 647369280 655461396 657810720 660856140 676605312 679737744 682174080 690701256 704913216 708704640 728290440 740037060 755264160 764704962 767445840 776843136 789372864 793027368 819326745 845756640 849672180 863376570 873948528 877080960 881141520 892155789 906316992 920935008 971053920 986716080 991284210 1007018880 1019606616 1023261120 1036051884 1057369824 1063056960 1092435660 1127675520 1132896240 1147057443 1151168760 1165264704 1174855360 1184059296 1189541052 1227913344 1274508270 1294738560 1295064855 1310922792 1315621440 1321712280 1359475488 1381402512 1409826432 1456580880 1480074120 1486926315 1510528320 1529409924 1534891680 1578745728 1586054736 1638653490 1691513280 1699344360 1726753140 1747897056 1762283040 1784311578 1812633984 1841870016 1911762405 1942107840 1973432160 1982568420 2039213232 2046522240 2072103768 2114739648 2126113920 2184871320 2265792480 2294114886 2302337520 2330529408 2349710720 2368118592 2379082104 2549016540 2590129710 2621845584 2631242880 2643424560 2676467367 2718950976 2762805024 2913161760 2960148240 2973852630 3021056640 3058819848 3069783360 3172109472 3277306980 3383026560 3398688720 3453506280 3495794112 3524566080 3568623156 3683740032 3823524810 3884215680 3946864320 3965136840 4078426464 4144207536 4229479296 4369742640 4460778945 4531584960 4588229772 4604675040 4736237184 4758164208 5098033080 5180259420 5243691168 5286849120 5352934734 5437901952 5525610048 5735287215 5826323520 5920296480 5947705260 6117639696 6139566720 6344218944 6554613960 6797377440 6907012560 6991588224 7049132160 7137246312 7647049620 7893728640 7930273680 8029402101 8156852928 8288415072 8739485280 8921557890 9063169920 9176459544 9209350080 9516328416 10196066160 10360518840 10487382336 10573698240 10705869468 11051220096 11470574430 11652647040 11840592960 11895410520 12235279392 12688437888 13109227920 13382336835 13594754880 13814025120 14274492624 15294099240 15860547360 16058804202 16313705856 16576830144 17478970560 17843115780 18352919088 18418700160 19032656832 20392132320 20721037680 20974764672 21147396480 21411738936 22941148860 23681185920 23790821040 24470558784 26218455840 26764673670 27189509760 27628050240 28548985248 30588198480 31721094720 32117608404 33153660288 34957941120 35686231560 36705838176 38065313664 40147010505 40784264640 41442075360 42823477872 45882297720 47581642080 48941117568 52436911680 53529347340 55256100480 57097970496 61176396960 63442189440 64235216808 71372463120 73411676352 80294021010 81568529280 82884150720 85646955744 91764595440 95163284160 104873823360 107058694680 114195940992 122352793920 128470433616 142744926240 146823352704 160588042020 165768301440 171293911488 183529190880 190326568320 214117389360 244705587840 256940867232 285489852480 321176084040 342587822976 367058381760 428234778720 513881734464 570979704960 642352168080 734116763520 856469557440 1027763468928 1284704336160 1712939114880 2569408672320 5138817344640
- Sum of all divisors σ(n): 22133311948800
- Sum of proper divisors (its aliquot sum) s(n): 16994494604160
- 5138817344640 is an abundant number, because the sum of its proper divisors (16994494604160) is greater than itself. Its abundance is 11855677259520
Bases of 5138817344640
- Binary: 10010101100011110010110000111100100100000002
- Hexadecimal: 0x4AC7961E480
- Base-36: 1TKQN6000
Squares and roots of 5138817344640
- 5138817344640 squared (51388173446402) is 26407443701572900536729600
- 5138817344640 cubed (51388173446403) is 135703029721247145327539633861689344000
-
The
square root of 5138817344640 is 2266895.9712876107 -
The
cube root of 5138817344640 is 17256.5666740425
Scales and comparisons
How big is 5138817344640?- 5,138,817,344,640 seconds is equal to 163,398 years, 25 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 5,138,817,344,640 would take you about four hundred eight thousand, four hundred ninety-six 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 5138817344640 cubic inches would be around 1438 feet tall.
Recreational maths with 5138817344640
- 5138817344640 backwards is 0464437188315
- 5138817344640 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 5138817344640's digits is 54
- More coming soon!
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The information we have on file for 5138817344640 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!
Keywords: Divisors of 5138817344640, math, Factors of 5138817344640, curriculum, school, college, exams, university, Prime factorization of 5138817344640, STEM, science, technology, engineering, physics, economics, calculator, five trillion, one hundred thirty-eight billion, eight hundred seventeen million, three hundred forty-four thousand, six hundred forty.