13431509739648
13,431,509,739,648 is an even composite number composed of six prime numbers multiplied together.
What does the number 13431509739648 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
13431509739648 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 13431509739648:
27 × 32 × 7 × 11 × 133 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 13 × 13 × 41 × 41 × 41)See below for interesting mathematical facts about the number 13431509739648 from the Numbermatics database.
Names of 13431509739648
- Cardinal: 13431509739648 can be written as Thirteen trillion, four hundred thirty-one billion, five hundred nine million, seven hundred thirty-nine thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.3431509739648 × 1013
Factors of 13431509739648
Divisors of 13431509739648
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 41 42 44 48 52 56 63 64 66 72 77 78 82 84 88 91 96 99 104 112 117 123 126 128 132 143 144 154 156 164 168 169 176 182 192 198 208 224 231 234 246 252 264 273 286 287 288 308 312 328 336 338 352 364 369 384 396 416 429 448 451 462 468 492 504 507 528 533 546 572 574 576 616 624 656 672 676 693 704 728 738 792 819 832 858 861 896 902 924 936 984 1001 1008 1014 1056 1066 1092 1144 1148 1152 1183 1232 1248 1287 1312 1344 1352 1353 1386 1408 1456 1476 1521 1584 1599 1638 1664 1681 1716 1722 1804 1848 1859 1872 1968 2002 2016 2028 2112 2132 2184 2197 2288 2296 2366 2464 2496 2574 2583 2624 2688 2704 2706 2772 2912 2952 3003 3042 3157 3168 3198 3276 3362 3432 3444 3549 3608 3696 3718 3731 3744 3936 4004 4032 4056 4059 4224 4264 4368 4394 4576 4592 4732 4797 4928 4992 5043 5148 5166 5248 5408 5412 5544 5577 5824 5863 5904 6006 6084 6314 6336 6396 6552 6591 6724 6864 6888 6929 7098 7216 7392 7436 7462 7488 7872 8008 8064 8112 8118 8528 8736 8788 9009 9152 9184 9464 9471 9594 9856 10086 10296 10332 10647 10816 10824 11088 11154 11193 11648 11726 11767 11808 12012 12168 12628 12672 12792 13013 13104 13182 13448 13728 13776 13858 14196 14432 14784 14872 14924 14976 15129 15379 15744 16016 16224 16236 16731 17056 17472 17576 17589 18018 18304 18368 18491 18928 18942 19188 19773 20172 20592 20664 20787 21294 21632 21648 21853 22176 22308 22386 23452 23534 23616 24024 24167 24336 25256 25584 26026 26208 26364 26896 27456 27552 27716 28392 28413 28864 29568 29744 29848 30258 30758 32032 32448 32472 33462 33579 34112 34944 35152 35178 35301 36036 36736 36982 37856 37884 38376 39039 39546 40344 41041 41184 41328 41574 42588 43296 43706 44352 44616 44772 46137 46904 47068 47232 48048 48334 48503 48672 50512 51168 52052 52416 52728 52767 53792 54912 55104 55432 55473 56784 56826 57728 59488 59696 60516 61516 62361 64064 64896 64944 65559 66924 67158 68224 68921 70304 70356 70602 72072 72501 73964 75712 75768 76219 76752 78078 79092 80688 82082 82368 82656 83148 85176 86592 87412 88704 89232 89544 90077 92274 93808 94136 96096 96668 97006 97344 101024 102336 104104 104832 105456 105534 105903 107584 110208 110864 110946 113568 113652 117117 118976 119392 121032 123032 123123 124722 128128 129437 129888 131118 133848 134316 137842 138411 140608 140712 141204 144144 145002 145509 147928 151424 151536 152438 152971 153504 156156 158184 161376 164164 164736 165312 166296 166419 169169 170352 173184 174824 178464 179088 180154 184548 187616 188272 192192 193336 194012 194688 196677 202048 204672 206763 208208 210912 211068 211806 215168 217503 221728 221892 227136 227304 228657 234234 237952 238784 240383 242064 246064 246246 249444 258874 259776 262236 267696 268632 270231 275684 276822 281216 281424 282408 284089 288288 290004 291018 295856 303072 304876 305942 307008 312312 316368 322752 328328 330624 332592 332838 338338 340704 349648 356928 358176 360308 369096 369369 375232 376544 384384 386672 388024 388311 393354 404096 413526 416416 421824 422136 423612 435006 436527 443456 443784 454272 454608 457314 458913 468468 477568 480766 482447 484128 492128 492492 498888 507507 517748 519552 524472 533533 535392 537264 540462 551368 553644 562848 564816 568178 576576 580008 582036 591712 606144 609752 611884 614016 620289 624624 630539 632736 645504 656656 665184 665676 676676 681408 685971 699296 713856 716352 720616 721149 738192 738738 750464 753088 758131 773344 776048 776622 786708 810693 827052 832832 843648 844272 847224 852267 870012 873054 886912 887568 895973 909216 914628 917826 936936 961532 964894 968256 984256 984984 990847 997776 1015014 1035496 1048944 1067066 1070784 1074528 1080924 1102736 1107288 1125696 1129632 1136356 1153152 1160016 1164072 1164933 1183424 1212288 1219504 1223768 1240578 1249248 1261078 1265472 1313312 1330368 1331352 1353352 1362816 1371942 1376739 1398592 1432704 1441232 1442298 1447341 1476384 1477476 1506176 1516262 1522521 1546688 1552096 1553244 1573416 1600599 1621386 1654104 1665664 1682681 1688544 1694448 1704534 1740024 1746108 1775136 1791946 1818432 1829256 1835652 1873872 1891617 1923064 1929788 1936512 1968512 1969968 1981694 1988623 1995552 2030028 2070992 2097888 2134132 2141568 2149056 2161848 2163447 2205472 2214576 2251392 2259264 2272712 2274393 2320032 2328144 2329866 2366848 2439008 2447536 2481156 2498496 2522156 2530944 2556801 2626624 2660736 2662704 2687919 2706704 2743884 2753478 2797184 2882464 2884596 2894682 2952768 2954952 2972541 3032524 3045042 3093376 3104192 3106488 3124979 3146832 3201198 3242772 3308208 3365362 3377088 3388896 3409068 3480048 3492216 3550272 3583892 3636864 3658512 3671304 3693157 3747744 3783234 3846128 3859576 3939936 3963388 3977246 3991104 4060056 4141984 4195776 4268264 4298112 4323696 4326894 4342023 4410944 4429152 4518528 4545424 4548786 4640064 4656288 4659732 4801797 4878016 4895072 4962312 4996992 5044312 5048043 5113602 5253248 5306917 5325408 5375838 5413408 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56446299 57342272 58740864 59090512 59134218 60531744 60576516 61753216 62423361 63414208 63635936 63683004 64510056 64960896 65624559 66476826 68292224 68989921 69230304 69472368 69885894 71340984 71590428 72780576 74555712 74999496 75261732 76828752 77556297 78845624 79396992 80708992 80768688 81249454 81533543 81817632 83231148 84910672 86013408 87499412 87804288 88111296 88635768 88701327 90797616 92307072 92629824 93181192 95121312 95453904 95524506 97040768 97441344 99999328 100348976 102438336 103408396 103768704 104828841 107691584 109090176 109170864 110974864 112499244 112892598 114684544 118181024 118268436 121063488 121153032 121874181 124846722 126828416 127271872 127366008 128124139 129020112 131249118 132953652 137979842 138460608 138944736 139771788 142681968 143180856 145561152 149111424 149998992 150523464 151419437 153657504 155112594 157691248 161537376 162498908 163067086 163635264 166462296 169821344 172026816 174998824 176222592 177271536 177402654 181595232 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649995632 652268344 665849184 679285376 699995296 709086144 709610616 726380928 731245086 733801887 745449536 763631232 764196048 768744834 787494708 802791808 827267168 827879052 838630728 853119267 873366912 887798912 896868973 899993952 903140784 908516622 930675564 946147488 969224256 974993448 978402516 998773776 1018928064 1024993112 1032160896 1049992944 1059936059 1063629216 1103838736 1118174304 1137492356 1141455744 1145446848 1153117251 1199991936 1204187712 1211355496 1240900752 1241818578 1261529984 1299991264 1304536688 1331698368 1362774933 1399990592 1418172288 1419221232 1462490172 1467603774 1490899072 1528392096 1537489668 1574989416 1654534336 1655758104 1665613807 1677261456 1706238534 1793737946 1799987904 1806281568 1817033244 1861351128 1892294976 1938448512 1949986896 1956805032 1997547552 2037856128 2049986224 2099985888 2119872118 2127258432 2207677472 2236348608 2274984712 2290893696 2306234502 2408375424 2422710992 2481801504 2483637156 2559357801 2599982528 2609073376 2663396736 2690606919 2725549866 2799981184 2838442464 2924980344 2935207548 3056784192 3074979336 3149978832 3179808177 3309068672 3311516208 3331227614 3354522912 3412477068 3587475892 3599975808 3612563136 3634066488 3722702256 3784589952 3899973792 3913610064 3995095104 4099972448 4199971776 4239744236 4254516864 4415354944 4472697216 4549969424 4612469004 4845421984 4963603008 4967274312 4996841421 5118715602 5199965056 5218146752 5381213838 5451099732 5676884928 5849960688 5870415096 6113568384 6149958672 6299957664 6359616354 6623032416 6662455228 6709045824 6824954136 7174951784 7225126272 7268132976 7445404512 7799947584 7827220128 7990190208 8071820757 8199944896 8399943552 8479488472 8830709888 9099938848 9224938008 9539424531 9690843968 9927206016 9934548624 9993682842 10237431204 10436293504 10762427676 10902199464 11353769856 11659296649 11699921376 11740830192 12299917344 12599915328 12719232708 13246064832 13324910456 13418091648 13649908272 14349903568 14536265952 14890809024 14990524263 15599895168 15654440256 16143641514 16399889792 16958976944 18199877696 18449876016 19078849062 19381687936 19869097248 19987365684 20474862408 21524855352 21804398928 23318593298 23399842752 23481660384 24599834688 25199830656 25438465416 26492129664 26649820912 27299816544 28699807136 29072531904 29781618048 29981048526 31308880512 32287283028 33917953888 34977889947 36399755392 36899752032 38157698124 39738194496 39974731368 40949724816 43049710704 43608797856 46637186596 46799685504 46963320768 49199669376 50876930832 53299641824 54599633088 57399614272 58145063808 59962097052 64574566056 67835907776 69955779894 73799504064 76315396248 79476388992 79949462736 81899449632 86099421408 87217595712 93274373192 93926641536 101753861664 104933669841 106599283648 109199266176 114799228544 119924194104 129149132112 135671815552 139911559788 147599008128 152630792496 159898925472 163798899264 172198842816 174435191424 186548746384 203507723328 209867339682 213198567296 239848388208 258298264224 279823119576 305261584992 319797850944 327597798528 344397685632 373097492768 407015446656 419734679364 479696776416 516596528448 559646239152 610523169984 639595701888 746194985536 839469358728 959393552832 1033193056896 1119292478304 1221046339968 1492389971072 1678938717456 1918787105664 2238584956608 3357877434912 4477169913216 6715754869824 13431509739648
- Sum of all divisors σ(n): 53506556812800
- Sum of proper divisors (its aliquot sum) s(n): 40075047073152
- 13431509739648 is an abundant number, because the sum of its proper divisors (40075047073152) is greater than itself. Its abundance is 26643537333504
Bases of 13431509739648
- Binary: 110000110111010001000101110111101000100000002
- Hexadecimal: 0xC37445DE880
- Base-36: 4RECM3VK0
Squares and roots of 13431509739648
- 13431509739648 squared (134315097396482) is 180405453886259084743163904
- 13431509739648 cubed (134315097396483) is 2423117610958907029123328177162831265792
-
The
square root of 13431509739648 is 3664902.4188439179 -
The
cube root of 13431509739648 is 23770.6802639071
Scales and comparisons
How big is 13431509739648?- 13,431,509,739,648 seconds is equal to 427,080 years, 24 weeks, 15 hours, 40 minutes, 48 seconds.
-
To count from 1 to 13,431,509,739,648 would take you about one million, sixty-seven thousand, seven hundred one 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 13431509739648 cubic inches would be around 1980.9 feet tall.
Recreational maths with 13431509739648
- 13431509739648 backwards is 84693790513431
- 13431509739648 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13431509739648's digits is 63
- More coming soon!
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The information we have on file for 13431509739648 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 13431509739648, math, Factors of 13431509739648, curriculum, school, college, exams, university, Prime factorization of 13431509739648, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, four hundred thirty-one billion, five hundred nine million, seven hundred thirty-nine thousand, six hundred forty-eight.