12135458813400
12,135,458,813,400 is an even composite number composed of seven prime numbers multiplied together.
12135458813400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 12135458813400:
23 × 32 × 52 × 132 × 192 × 59 × 1873
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 19 × 19 × 59 × 1873)See below for interesting mathematical facts about the number 12135458813400 from the Numbermatics database.
Names of 12135458813400
- Cardinal: 12135458813400 can be written as Twelve trillion, one hundred thirty-five billion, four hundred fifty-eight million, eight hundred thirteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.21354588134 × 1013
Factors of 12135458813400
Divisors of 12135458813400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 19 20 24 25 26 30 36 38 39 40 45 50 52 57 59 60 65 72 75 76 78 90 95 100 104 114 117 118 120 130 150 152 156 169 171 177 180 190 195 200 225 228 234 236 247 260 285 295 300 312 325 338 342 354 360 361 380 390 450 456 468 472 475 494 507 520 531 570 585 590 600 650 676 684 708 722 741 760 767 780 845 855 885 900 936 950 975 988 1014 1062 1083 1121 1140 1170 1180 1235 1300 1352 1368 1416 1425 1444 1475 1482 1521 1534 1560 1690 1710 1770 1800 1805 1873 1900 1950 1976 2028 2124 2166 2223 2242 2280 2301 2340 2360 2470 2535 2600 2655 2850 2888 2925 2950 2964 3042 3068 3211 3249 3363 3380 3420 3540 3610 3705 3746 3800 3835 3900 4056 4225 4248 4275 4332 4425 4446 4484 4602 4680 4693 4940 5070 5310 5415 5605 5619 5700 5850 5900 5928 6084 6136 6175 6422 6498 6726 6760 6840 6903 7080 7220 7410 7492 7605 7670 7800 8450 8550 8664 8850 8892 8968 9025 9204 9365 9386 9633 9880 9971 10089 10140 10620 10830 11115 11210 11238 11400 11505 11700 11800 12168 12350 12675 12844 12996 13275 13452 13806 14079 14440 14573 14820 14984 15210 15340 16055 16245 16815 16857 16900 17100 17700 17784 18050 18408 18525 18730 18772 19175 19266 19942 20178 20280 21240 21299 21660 22230 22420 22476 23010 23400 23465 24349 24700 25350 25688 25992 26550 26904 27075 27612 28025 28095 28158 28899 29146 29640 29913 30420 30680 32110 32490 33630 33714 33800 34200 34515 35400 35587 36100 37050 37460 37544 38025 38350 38532 39884 40356 42237 42598 43320 43719 44460 44840 44952 46020 46825 46930 48165 48698 49400 49855 50445 50700 53100 54150 55224 55575 56050 56190 56316 57525 57798 58292 59826 60840 61009 63897 64220 64980 67260 67428 69030 70395 71174 72200 72865 73047 74100 74920 76050 76700 77064 79768 80275 80712 81225 84075 84285 84474 85196 87438 88920 89739 92040 93650 93860 96330 97396 99710 100890 101400 106200 106495 106761 108300 110507 111150 112100 112380 112632 115050 115596 116584 117325 119652 121745 122018 127794 128440 129960 131157 134520 134856 138060 140475 140790 142348 144495 145730 146094 148200 149565 152100 153400 160550 162450 168150 168570 168948 170392 172575 174876 177935 179478 183027 187300 187720 189449 191691 192660 194792 199420 201780 211185 212990 213522 216600 218595 219141 221014 222300 224200 224760 230100 231192 234650 239304 240825 243490 244036 249275 252225 255588 262314 276120 276887 280950 281580 284696 288990 291460 292188 299130 304200 305045 316537 319485 320283 321100 324900 331521 336300 337140 337896 345150 349752 351975 355870 358956 364325 365235 366054 374600 378898 383382 385320 398840 403560 421425 422370 425980 427044 437190 438282 442028 444600 448695 460200 462631 469300 481650 486980 488072 498550 504450 511176 524628 532475 533805 549081 552535 553774 561900 563160 568347 577980 582920 584376 598260 608725 610090 633074 638970 640566 642200 649800 655785 663042 672600 674280 676153 690300 703950 711740 717912 722475 728650 730470 732108 747825 757796 766764 830661 842850 844740 851960 854088 874380 876564 884056 889675 897390 915135 925262 938600 947245 949611 958455 963300 973960 994563 997100 1008900 1049256 1055925 1064950 1067610 1092975 1095705 1098162 1105070 1107548 1123800 1136694 1155960 1196520 1217450 1220180 1266148 1277940 1281132 1311570 1326084 1352306 1380600 1384435 1387893 1407900 1423480 1436591 1444950 1457300 1460940 1464216 1495650 1515592 1525225 1533528 1582685 1597425 1601415 1657605 1661322 1685700 1689480 1705041 1748760 1753128 1779350 1794780 1826175 1830270 1850524 1894490 1899222 1916910 1926600 1989126 1994200 2017800 2028459 2099633 2111850 2129900 2135220 2185950 2191410 2196324 2210140 2215096 2243475 2273388 2313155 2434900 2440360 2491983 2532296 2555880 2562264 2623140 2652168 2669025 2704612 2745405 2762675 2768870 2775786 2815800 2841735 2848833 2873182 2889900 2914600 2921880 2991300 3050450 3165370 3194850 3202830 3278925 3315210 3322644 3371400 3380765 3410082 3558700 3589560 3599531 3652350 3660540 3701048 3788980 3798444 3833820 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66304200 67615300 68201640 69394650 70319912 71220825 71829550 71990620 72170436 74702732 75586788 79109901 79786054 81138360 81885687 83066100 83273580 83985320 85252050 86195460 86388744 87899890 89988275 90213045 92526200 93378415 94483485 94961100 99456300 99679320 101422950 103434552 104091975 104981650 105479868 107744325 107985930 108255654 109180916 109816200 112054098 113669400 113953320 114269857 119679081 120284060 121707540 124599150 125977980 129293190 129583116 131849835 135230600 136476145 138789300 142441650 143659100 143981240 144340872 149405464 150355075 151173576 152134425 157472475 158219802 159572108 161978895 163771374 166132200 166547160 168081147 170504100 172390920 175799780 179976550 180426090 186756830 188966970 189922200 198912600 199465135 202845900 208183950 209963300 210959736 215488650 215971860 216511308 218361832 219749725 224108196 228539714 239358162 240568120 243415080 245657061 249198300 251955960 258586380 259166232 263699670 269964825 270639135 272952290 277578600 280135245 284883300 287318200 300710150 304268850 314944950 316439604 319144216 323232975 323957790 327542748 336162294 341008200 342809571 351599560 354837977 359037243 359953100 360852180 373513660 377933940 395549505 398930270 405691800 409428435 416367900 419926600 430977300 431943720 433022616 439499450 448216392 451065225 457079428 466892075 472417425 478716324 491314122 498396600 517172760 518609351 527399340 539929650 541278270 545904580 560270490 569766600 571349285 598395405 601420300 608537700 629889900 632879208 646465950 647915580 655085496 659249175 672324588 682380725 685619142 709675954 718074486 719906200 721704360 747027320 755867880 791099010 797860540 809894475 818856870 832735800 840405735 861954600 878998900 902130450 914158856 933784150 944834850 957432648 982628244 997325675 1028428713 1037218702 1054798680 1064513931 1079859300 1082556540 1091809160 1120540980 1142698570 1196790810 1202840600 1217075400 1228285305 1259779800 1292931900 1295831160 1318498350 1344649176 1353195675 1364761450 1371238284 1400676225 1419351908 1436148972 1555828053 1582198020 1595721080 1619788950 1637713740 1680811470 1714047855 1757997800 1774189885 1795186215 1804260900 1867568300 1889669700 1965256488 1977747525 1994651350 2047142175 2056857426 2074437404 2129027862 2159718600 2165113080 2241081960 2285397140 2393581620 2456570610 2585863800 2593046755 2636996700 2706391350 2729522900 2742476568 2801352450 2838703816 2856746425 2872297944 2991977025 3111656106 3164396040 3193541793 3239577900 3275427480 3361622940 3428095710 3548379770 3590372430 3608521800 3735136600 3779339400 3955495050 3989302700 4094284350 4113714852 4148874808 4202028675 4258055724 4570794280 4667484159 4787163240 4913141220 5142143565 5186093510 5273993400 5322569655 5412782700 5459045800 5602704900 5713492850 5983954050 6141426525 6223312212 6387083586 6479155800 6723245880 6741921563 6856191420 7096759540 7180744860 7779140265 7910990100 7978605400 8188568700 8227429704 8404057350 8516111448 8570239275 8870949425 8975931075 9334968318 9826282440 10284287130 10372187020 10645139310 10825565400 11205409800 11426985700 11967908100 12282853050 12446624424 12774167172 12965233775 13483843126 13712382840 14193519080 14361489720 15558280530 15821980200 15967708965 16377137400 16808114700 17140478550 17741898850 17951862150 18669936636 20225764689 20568574260 20744374040 21290278620 22853971400 23337420795 23935816200 24565706100 25548334344 25710717825 25930467550 26612848275 26967686252 31116561060 31935417930 33616229400 33709607815 34280957100 35483797700 35903724300 37339873272 38895701325 40451529378 41137148520 42580557240 46674841590 49131412200 51421435650 51860935100 53225696550 53935372504 60677294067 62233122120 63870835860 67419215630 68561914200 70967595400 71807448600 77791402650 79838544825 80903058756 93349683180 101128823445 102842871300 103721870200 106451393100 116687103975 121354588134 127741671720 134838431260 155582805300 159677089650 161806117512 168548039075 186699366360 202257646890 205685742600 212902786200 233374207950 242709176268 269676862520 303386470335 311165610600 319354179300 337096078150 404515293780 466748415900 485418352536 505644117225 606772940670 638708358600 674192156300 809030587560 933496831800 1011288234450 1213545881340 1348384312600 1516932351675 2022576468900 2427091762680 3033864703350 4045152937800 6067729406700 12135458813400
- Sum of all divisors σ(n): 47390709155400
- Sum of proper divisors (its aliquot sum) s(n): 35255250342000
- 12135458813400 is an abundant number, because the sum of its proper divisors (35255250342000) is greater than itself. Its abundance is 23119791528600
Bases of 12135458813400
- Binary: 101100001001100000011011011000110101110110002
- Hexadecimal: 0xB0981B635D8
- Base-36: 4AUYAUKM0
Squares and roots of 12135458813400
- 12135458813400 squared (121354588134002) is 147269360611727736019560000
- 12135458813400 cubed (121354588134003) is 1787181260179374169479798036790104000000
-
The
square root of 12135458813400 is 3483598.5436614247 -
The
cube root of 12135458813400 is 22980.1080773525
Scales and comparisons
How big is 12135458813400?- 12,135,458,813,400 seconds is equal to 385,870 years, 2 weeks, 5 days, 5 hours, 30 minutes.
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To count from 1 to 12,135,458,813,400 would take you about nine hundred sixty-four thousand, six hundred seventy-five 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 12135458813400 cubic inches would be around 1915 feet tall.
Recreational maths with 12135458813400
- 12135458813400 backwards is 00431885453121
- 12135458813400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12135458813400's digits is 45
- More coming soon!
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The information we have on file for 12135458813400 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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