1315132135200
1,315,132,135,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1315132135200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
1315132135200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 1315132135200:
25 × 35 × 52 × 13 × 19 × 61 × 449
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 19 × 61 × 449)See below for interesting mathematical facts about the number 1315132135200 from the Numbermatics database.
Names of 1315132135200
- Cardinal: 1315132135200 can be written as One trillion, three hundred fifteen billion, one hundred thirty-two million, one hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.3151321352 × 1012
Factors of 1315132135200
Divisors of 1315132135200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 38 39 40 45 48 50 52 54 57 60 61 65 72 75 76 78 80 81 90 95 96 100 104 108 114 117 120 122 130 135 144 150 152 156 160 162 171 180 183 190 195 200 208 216 225 228 234 240 243 244 247 260 270 285 288 300 304 305 312 324 325 342 351 360 366 380 390 400 405 416 432 449 450 456 468 475 480 486 488 494 513 520 540 549 570 585 600 608 610 624 648 650 675 684 702 720 732 741 760 780 793 800 810 855 864 898 900 912 915 936 950 972 975 976 988 1026 1040 1053 1080 1098 1140 1159 1170 1200 1215 1220 1235 1248 1296 1300 1347 1350 1368 1404 1425 1440 1464 1482 1520 1525 1539 1560 1586 1620 1647 1710 1755 1796 1800 1824 1830 1872 1900 1944 1950 1952 1976 2025 2052 2080 2106 2160 2196 2223 2245 2280 2318 2340 2379 2400 2430 2440 2470 2565 2592 2600 2694 2700 2736 2745 2808 2850 2925 2928 2964 3040 3050 3078 3120 3159 3172 3240 3294 3420 3477 3510 3592 3600 3660 3705 3744 3800 3888 3900 3952 3965 4041 4050 4104 4212 4275 4320 4392 4446 4490 4560 4575 4617 4636 4680 4758 4860 4880 4940 4941 5130 5200 5265 5388 5400 5472 5490 5616 5700 5795 5837 5850 5856 5928 6075 6100 6156 6175 6240 6318 6344 6480 6588 6669 6735 6840 6954 7020 7137 7184 7200 7320 7410 7600 7695 7776 7800 7904 7930 8082 8100 8208 8235 8424 8531 8550 8775 8784 8892 8980 9120 9150 9234 9272 9360 9516 9720 9760 9880 9882 10260 10400 10431 10530 10776 10800 10980 11115 11225 11232 11400 11590 11674 11700 11856 11895 12123 12150 12200 12312 12350 12636 12688 12825 12960 13176 13338 13470 13680 13725 13908 14040 14274 14368 14640 14820 14823 15067 15200 15390 15600 15795 15860 16164 16200 16416 16470 16848 17062 17100 17385 17511 17550 17568 17784 17960 18300 18468 18525 18544 18720 19032 19440 19760 19764 19825 20007 20205 20520 20862 21060 21411 21552 21600 21960 22230 22450 22800 23085 23180 23348 23400 23712 23790 24246 24300 24400 24624 24700 24705 25272 25376 25593 25650 26325 26352 26676 26940 27360 27389 27450 27816 28080 28548 28975 29185 29280 29640 29646 30134 30780 31200 31293 31590 31720 32328 32400 32940 33345 33675 33696 34124 34200 34770 35022 35100 35568 35685 35920 36369 36600 36936 37050 37088 38064 38475 38880 39520 39528 39650 40014 40410 41040 41175 41724 42120 42655 42822 43104 43920 44460 44900 45201 45600 46170 46360 46696 46800 47580 48492 48600 48800 49248 49400 49410 50544 51186 51300 52155 52533 52650 52704 53352 53880 54778 54900 55575 55632 56160 57096 57950 58370 59280 59292 59475 60021 60268 60615 61560 62586 63180 63440 64233 64656 64800 65880 66690 67350 68248 68400 69540 70044 70200 71136 71370 71840 72738 73200 73872 74100 74115 75335 76128 76779 76950 78975 79056 79300 80028 80820 82080 82167 82350 83448 84240 85310 85644 86925 87555 87840 88920 89800 90402 92340 92720 93392 93600 93879 95160 96984 97200 98800 98820 100035 101025 101088 102372 102600 104310 105066 105300 106704 107055 107760 109107 109556 109800 110903 111150 111264 114192 115425 115900 116740 118560 118584 118950 120042 120536 121230 123120 123525 125172 126360 126880 127965 128466 129312 131760 133380 134700 135603 136496 136800 136945 139080 140088 140400 142740 145476 145925 146400 147744 148200 148230 150670 153558 153900 156465 157599 157950 158112 158600 160056 161640 164334 164700 166725 166896 168480 170620 171288 173850 175110 177840 178425 179600 180804 181845 184680 185440 186784 187758 190320 192699 193968 194400 197600 197640 200070 202050 204744 205200 208620 210132 210600 213275 213408 214110 215520 218214 219112 219600 221806 222300 226005 228384 230337 230850 231800 233480 237168 237900 240084 241072 242460 246240 246501 247050 250344 252720 255930 256932 260775 262665 263520 266760 269400 271206 272992 273890 278160 280176 280800 281637 285480 290952 291850 296400 296460 300105 301340 303075 307116 307800 312930 315198 315900 317200 320112 321165 323280 328668 329400 332709 333450 333792 341240 342576 347700 350220 355680 356057 356850 359200 361608 363690 369360 370575 375516 376675 380640 383895 385398 387936 395280 400140 404100 406809 409488 410400 410835 417240 420264 421200 426550 428220 436428 437775 438224 439200 443612 444600 452010 460674 461700 463600 466960 469395 472797 474336 475800 480168 482144 484920 493002 494100 500175 500688 505440 511860 513864 520391 521550 525330 533520 535275 538800 542412 545535 547780 554515 556320 560352 563274 570960 581904 583700 592800 592920 600210 602680 606150 614232 615600 625860 630396 631800 634400 639825 640224 642330 646560 657336 658800 665418 666900 678015 682480 684725 685152 691011 695400 700440 712114 713700 723216 727380 738720 739503 741150 751032 753350 767790 770796 782325 787995 790560 800280 808200 813618 818976 821670 834480 840528 842400 853100 856440 872856 875550 876448 887224 889200 904020 909225 921348 923400 927200 933920 938790 945594 951600 960336 963495 969840 986004 988200 998127 1000350 1001376 1023720 1027728 1040782 1043100 1050660 1067040 1068171 1070550 1077600 1084824 1091070 1095560 1109030 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7879950 7888032 7985016 8002800 8136180 8216700 8292132 8317725 8326256 8344800 8405280 8545368 8564400 8728560 8872240 8874036 8901425 8983143 9012384 9040200 9213480 9367038 9387900 9455940 9603360 9613539 9634950 9698400 9763416 9860040 9981270 10170225 10237200 10277280 10365165 10407820 10506600 10646688 10681710 10848240 10910700 10955600 11056176 11090300 11092545 11265480 11347128 11393824 11516850 11819925 11832048 11858400 11977524 12004200 12053600 12204270 12284640 12325050 12489384 12517200 12607920 12818052 12846600 13009775 13017888 13146720 13308360 13311054 13530166 13560300 13820220 14008800 14050557 14081850 14183910 14242280 14547600 14645124 14790060 14971905 15020640 15129504 15355800 15415920 15611730 15759900 15970032 16005600 16022565 16272360 16433400 16584264 16635450 16652512 17090736 17128800 17275275 17457120 17744480 17748072 17802850 17966286 18080400 18306405 18426960 18487575 18734076 18775800 18911880 19227078 19269900 19526832 19720080 19962540 20295249 20340450 20474400 20730330 20815640 21013200 21363420 21696480 21821400 21911200 22112352 22180600 22185090 22530960 22694256 23033700 23417595 23639850 23664096 23955048 24008400 24408540 24650100 24953175 24978768 25034400 25215840 25636104 25693200 26019550 26616720 26622108 26704275 26949429 27060332 27120600 27640440 28101114 28163700 28367820 28484560 28840617 29095200 29290248 29580120 29943810 30510675 30711600 30831840 31223460 31519800 31940064 32045130 32544720 32866800 33168528 33270900 33277635 33825415 34181472 34550550 35459775 35496144 35605700 35932572 36160800 36612810 36853920 36975150 37468152 37551600 37823760 38454156 38539800 39029325 39053664 39440160 39925080 40590498 40680900 41460660 41631280 42026400 42151671 42726840 43642800 44361200 44370180 44915715 45061920 45388512 46067400 46835190 47279700 47910096 48016800 48067695 48817080 49300200 49906350 49957536 51272208 51386400 51825825 52039100 53233440 53244216 53408550 53898858 54120664 54241200 55280880 55462725 56202228 56327400 56735640 56969120 57681234 58580496 59160240 59887620 60885747 61021350 61423200 62446920 63039600 64090260 65089440 65733600 66337056 66541800 66555270 67650830 69101100 70252785 70919550 70992288 71211400 71865144 73225620 73950300 74859525 74936304 75103200 75647520 76908312 77079600 78058650 79850160 80112825 81180996 81361800 82921320 83262560 84303342 85453680 86521851 87285600 88722400 88740360 89831430 91532025 92134800 93670380 94559400 95820192 96135390 97634160 98600400 99812700 101476245 102544416 103651650 104078200 106488432 106817100 107797716 108241328 108482400 110561760 110925450 112404456 112654800 113471280 115362468 117087975 117160992 118320480 119775240 121771494 122042700 124893840 126079200 126455013 128180520 133083600 133110540 134747145 135301660 138202200 140505570 141839100 142422800 143730288 144203085 146451240 147900600 149719050 149872608 153816624 154159200 156117300 159700320 160225650 162361992 162723600 165842640 166388175 168606684 169127075 170907360 173043702 177480720 179662860 182657241 183064050 184269600 187340760 189118800 192270780 195268320 197200800 199625400 202952490 207303300 208156400 210758355 212976864 213634200 215595432 216482656 221850900 224578575 224808912 225309600 226942560 230724936 234175950 239550480 240338475 243542988 244085400 249787680 252910026 256361040 266167200 266221080 269494290 270603320 276404400 281011140 283678200 284845600 287460576 288406170 292902480 295801200 299438100 304428735 307633248 312234600 320451300 324723984 325447200 331685280 332776350 337213368 338254150 346087404 351263925 354961440 359325720 365314482 366128100 374681520 378237600 384541560 399250800 405904980 414606600 416312800 421516710 427268400 431190864 432609255 443701800 449157150 449617824 461449872 468351900 479100960 480676950 487085976 488170800 505820052 507381225 512722080 532442160 538988580 541206640 547971723 552808800 562022280 567356400 576812340 585804960 591602400 598876200 608857470 624469200 632275065 640902600 649447968 665552700 673735725 674426736 676508300 692174808 702527850 718651440 721015425 730628964 732256200 749363040 769083120 798501600 811809960 829213200 843033420 854536800 862381728 865218510 887403600 898314300 913286205 922899744 936703800 961353900 974171952 976341600 1011640104 1014762450 1053791775 1064884320 1077977160 1082413280 1095943446 1124044560 1134712800 1153624680 1197752400 1217714940 1248938400 1264550130 1281805200 1331105400 1347471450 1348853472 1353016600 1384349616 1405055700 1437302880 1442030850 1461257928 1464512400 1522143675 1538166240 1623619920 1643915169 1658426400 1686066840 1730437020 1774807200 1796628600 1826572410 1873407600 1922707800 1948343904 2023280208 2029524900 2107583550 2155954320 2163046275 2191886892 2248089120 2307249360 2395504800 2435429880 2529100260 2563610400 2662210800 2694942900 2706033200 2739858615 2768699232 2810111400 2884061700 2922515856 2929024800 3044287350 3161375325 3247239840 3287830338 3372133680 3460874040 3593257200 3653144820 3746815200 3845415600 4046560416 4059049800 4215167100 4311908640 4326092550 4383773784 4566431025 4614498720 4870859760 5058200520 5324421600 5389885800 5412066400 5479717230 5620222800 5768123400 5845031712 6088574700 6322750650 6575660676 6744267360 6921748080 7186514400 7306289640 7690831200 8118099600 8219575845 8430334200 8652185100 8767547568 9132862050 9741719520 10116401040 10779771600 10959434460 11240445600 11536246800 12177149400 12645501300 13151321352 13699293075 13843496160 14612579280 16236199200 16439151690 16860668400 17304370200 17535095136 18265724100 20232802080 21559543200 21918868920 23072493600 24354298800 25291002600 26302642704 27398586150 29225158560 32878303380 33721336800 34608740400 36531448200 41097879225 43837737840 48708597600 50582005200 52605285408 54797172300 65756606760 69217480800 73062896400 82195758450 87675475680 101164010400 109594344600 131513213520 146125792800 164391516900 219188689200 263026427040 328783033800 438377378400 657566067600 1315132135200
- Sum of all divisors σ(n): 5553488304000
- Sum of proper divisors (its aliquot sum) s(n): 4238356168800
- 1315132135200 is an abundant number, because the sum of its proper divisors (4238356168800) is greater than itself. Its abundance is 2923224033600
Bases of 1315132135200
- Binary: 100110010001100111111101111010111001000002
- Hexadecimal: 0x13233FBD720
- Base-36: GS5VPU00
Squares and roots of 1315132135200
- 1315132135200 squared (13151321352002) is 1729572533035711079040000
- 1315132135200 cubed (13151321352003) is 2274616418354527249228171166208000000
-
The
square root of 1315132135200 is 1146792.1063558119 -
The
cube root of 1315132135200 is 10956.1120015807
Scales and comparisons
How big is 1315132135200?- 1,315,132,135,200 seconds is equal to 41,817 years, 6 weeks, 6 days, 18 hours.
-
To count from 1 to 1,315,132,135,200 would take you about one hundred four thousand, five hundred forty-two 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 1315132135200 cubic inches would be around 913 feet tall.
Recreational maths with 1315132135200
- 1315132135200 backwards is 0025312315131
- 1315132135200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1315132135200's digits is 27
- More coming soon!
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The information we have on file for 1315132135200 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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