1314144014400
1,314,144,014,400 is an even composite number composed of seven prime numbers multiplied together.
1314144014400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 1314144014400:
26 × 32 × 52 × 72 × 31 × 73 × 823
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 31 × 73 × 823)See below for interesting mathematical facts about the number 1314144014400 from the Numbermatics database.
Names of 1314144014400
- Cardinal: 1314144014400 can be written as One trillion, three hundred fourteen billion, one hundred forty-four million, fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.3141440144 × 1012
Factors of 1314144014400
Divisors of 1314144014400
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 32 35 36 40 42 45 48 49 50 56 60 62 63 64 70 72 73 75 80 84 90 93 96 98 100 105 112 120 124 126 140 144 146 147 150 155 160 168 175 180 186 192 196 200 210 217 219 224 225 240 245 248 252 279 280 288 292 294 300 310 315 320 336 350 360 365 372 392 400 420 434 438 441 448 450 465 480 490 496 504 511 525 558 560 576 584 588 600 620 630 651 657 672 700 720 730 735 744 775 784 800 823 840 868 876 882 900 930 960 980 992 1008 1022 1050 1085 1095 1116 1120 1168 1176 1200 1225 1240 1260 1302 1314 1344 1395 1400 1440 1460 1470 1488 1519 1533 1550 1568 1575 1600 1646 1680 1736 1752 1764 1800 1825 1860 1953 1960 1984 2016 2044 2100 2170 2190 2205 2232 2240 2263 2325 2336 2352 2400 2450 2469 2480 2520 2555 2604 2628 2790 2800 2880 2920 2940 2976 3038 3066 3100 3136 3150 3255 3285 3292 3360 3472 3504 3528 3577 3600 3650 3675 3720 3906 3920 4032 4088 4115 4200 4340 4380 4410 4464 4526 4557 4599 4650 4672 4704 4800 4900 4938 4960 5040 5110 5208 5256 5425 5475 5580 5600 5761 5840 5880 5952 6076 6132 6200 6300 6510 6570 6584 6720 6789 6944 6975 7008 7056 7154 7200 7300 7350 7407 7440 7595 7665 7812 7840 8176 8230 8400 8680 8760 8820 8928 9052 9114 9198 9300 9408 9765 9800 9876 9920 10080 10220 10416 10512 10731 10850 10950 11025 11160 11200 11315 11522 11680 11760 12152 12264 12345 12400 12600 12775 13020 13140 13168 13578 13671 13888 13950 14016 14112 14308 14400 14600 14700 14814 14880 15190 15330 15624 15680 15841 16275 16352 16425 16460 16800 17283 17360 17520 17640 17856 17885 18104 18228 18396 18600 19530 19600 19752 20160 20367 20440 20575 20832 21024 21462 21700 21900 22050 22320 22630 22785 22995 23044 23360 23520 24304 24528 24690 24800 25200 25513 25550 26040 26280 26336 27156 27342 27900 28224 28616 28805 29200 29400 29628 29760 30380 30660 31248 31682 32193 32550 32704 32850 32920 33600 33945 34566 34720 35040 35280 35770 36208 36456 36792 37035 37200 37975 38325 39060 39200 39504 40327 40734 40880 41150 41664 42048 42924 43400 43800 44100 44640 45260 45570 45990 46088 47040 47523 48608 48825 49056 49380 49600 50400 51026 51100 51849 52080 52560 52672 53655 54312 54684 55800 56575 57232 57610 58400 58800 59256 60079 60760 61320 61725 62496 63364 64386 65100 65700 65840 67890 68355 69132 69440 70080 70560 71540 72416 72912 73584 74070 74400 75950 76539 76650 78120 78400 79008 79205 80654 81468 81760 82300 85848 86415 86800 87600 88200 89280 89425 90520 91140 91980 92176 95046 97216 97650 98112 98760 100800 101835 102052 102200 103698 104160 105120 107310 108624 109368 110887 111600 113150 113925 114464 114975 115220 116800 117600 118512 120158 120981 121520 122640 123450 124992 126728 127565 128772 130200 131400 131680 135780 136710 138264 141120 142569 143080 144025 144832 145824 147168 148140 148800 151900 153078 153300 156240 158016 158410 160965 161308 162936 163520 164600 169725 171696 172830 173600 175200 176400 178591 178850 180237 181040 182280 183960 184352 185175 190092 195300 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24492480 24949575 25002740 25233180 25345600 25717104 25754400 26074286 26494839 26612880 26788650 26915392 27035550 27652800 27936735 28513800 28574560 28837920 29035440 29438710 29799184 30003288 30279816 30615600 31253425 31541475 31935456 32146380 32261600 32587200 33266100 33524082 33644240 34289472 34605504 35326452 35483840 35718200 36047400 36294300 36738720 37248980 37504110 37849770 38018400 38713920 39111429 39919320 40004384 40182975 40373088 40820800 41479200 42055300 42861840 43256880 44158065 44354800 44698776 45004932 45622080 45923400 46561225 47101936 48063200 48392400 49899150 50005480 50466360 51434208 51508800 52148572 52989678 53225760 53577300 54071100 55873470 56256165 57027600 57149120 57675840 58070880 58877420 59598368 60006576 60559632 61231200 62506850 63082950 63870912 64292760 64523200 65185715 66532200 67048164 67288480 70652904 71436400 72094800 72588600 73477440 73596775 74497960 75008220 75699540 76036800 78222858 79838640 80008768 80365950 80746176 82958400 83810205 84110600 85723680 86513760 88316130 88709600 89397552 90009864 91260001 91846800 93122450 93760275 94203872 94624425 96126400 96784800 99798300 100010960 100932720 102868416 104297144 105979356 106451520 107154600 108142200 111746940 112512330 114055200 116141760 117334287 117754840 119196736 120013152 121119264 122462400 125013700 126165900 128585520 130371430 132474195 133064400 134096328 134576960 139683675 141305808 142872800 144189600 145177200 147193550 148995920 150016440 151399080 156445716 159677280 160731900 167620410 168221200 171447360 173027520 176632260 177419200 178795104 180019728 182520002 183693600 186244900 187520550 188407744 189248850 193569600 195557145 199596600 200021920 201865440 208594288 211958712 214309200 216284400 220790325 223493880 225024660 228110400 234668574 235509680 240026304 242238528 250027400 252331800 257171040 260742860 264948390 266128800 268192656 273780003 279367350 281280825 282611616 285745600 288379200 290354400 294387100 297991840 300032880 302798160 312891432 319354560 321463800 325928575 335240820 336442400 353264520 357590208 360039456 365040004 367387200 372489800 375041100 378497700 391114290 399193200 400043840 403730880 417188576 419051025 423917424 428618400 432568800 441580650 446987760 450049320 456300005 469337148 471019360 500054800 504663600 514342080 521485720 529896780 532257600 536385312 547560006 558734700 562561650 565223232 580708800 586671435 588774200 595983680 600065760 605596320 625782864 642927600 651857150 662370975 670481640 672884800 706529040 720078912 730080008 744979600 750082200 756995400 782228580 798386400 821340009 834377152 838102050 847834848 857236800 865137600 883161300 893975520 900098640 912600010 938674296 942038720 977785725 1000109600 1009327200 1042971440 1059793560 1072770624 1095120012 1117469400 1125123300 1173342870 1177548400 1200131520 1211192640 1251565728 1285855200 1303714300 1324741950 1340963280 1368900015 1413058080 1460160016 1489959200 1500164400 1513990800 1564457160 1596772800 1642680018 1676204100 1695669696 1766322600 1787951040 1800197280 1825200020 1877348592 1955571450 2000219200 2018654400 2085942880 2119587120 2190240024 2234938800 2250246600 2281500025 2346685740 2355096800 2503131456 2571710400 2607428600 2649483900 2681926560 2737800030 2826116160 2920320032 2933357175 2979918400 3000328800 3027981600 3128914320 3285360036 3352408200 3532645200 3600394560 3650400040 3754697184 3911142900 4106700045 4171885760 4239174240 4380480048 4469877600 4500493200 4563000050 4693371480 4710193600 5214857200 5298967800 5363853120 5475600060 5840640064 5866714350 6000657600 6055963200 6257828640 6570720072 6704816400 6844500075 7065290400 7300800080 7509394368 7822285800 8213400090 8478348480 8760960096 8939755200 9000986400 9126000100 9386742960 10429714400 10597935600 10951200120 11733428700 12515657280 13141440144 13409632800 13689000150 14130580800 14601600160 15644571600 16426800180 17521920192 18001972800 18252000200 18773485920 20533500225 20859428800 21195871200 21902400240 23466857400 26282880288 26819265600 27378000300 29203200320 31289143200 32853600360 36504000400 37546971840 41067000450 42391742400 43804800480 46933714800 52565760576 54756000600 62578286400 65707200720 73008000800 82134000900 87609600960 93867429600 109512001200 131414401440 146016001600 164268001800 187734859200 219024002400 262828802880 328536003600 438048004800 657072007200 1314144014400
- Sum of all divisors σ(n): 5692362284544
- Sum of proper divisors (its aliquot sum) s(n): 4378218270144
- 1314144014400 is an abundant number, because the sum of its proper divisors (4378218270144) is greater than itself. Its abundance is 3064074255744
Bases of 1314144014400
- Binary: 100110001111110010001011001010000010000002
- Hexadecimal: 0x131F9165040
- Base-36: GRPJEZ40
Squares and roots of 1314144014400
- 1314144014400 squared (13141440144002) is 1726974490583347407360000
- 1314144014400 cubed (13141440144003) is 2269493189821595159697902505984000000
-
The
square root of 1314144014400 is 1146361.2059032703 -
The
cube root of 1314144014400 is 10953.3673661811
Scales and comparisons
How big is 1314144014400?- 1,314,144,014,400 seconds is equal to 41,785 years, 37 weeks, 1 day, 4 hours.
-
To count from 1 to 1,314,144,014,400 would take you about one hundred four thousand, four hundred sixty-four 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 1314144014400 cubic inches would be around 912.8 feet tall.
Recreational maths with 1314144014400
- 1314144014400 backwards is 0044104414131
- The number of decimal digits it has is: 13
- The sum of 1314144014400's digits is 27
- More coming soon!
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The information we have on file for 1314144014400 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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