13801631334400
13,801,631,334,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13801631334400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
13801631334400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 13801631334400:
214 × 52 × 72 × 133 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 313)See below for interesting mathematical facts about the number 13801631334400 from the Numbermatics database.
Names of 13801631334400
- Cardinal: 13801631334400 can be written as Thirteen trillion, eight hundred one billion, six hundred thirty-one million, three hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.38016313344 × 1013
Factors of 13801631334400
Divisors of 13801631334400
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 128 130 140 160 169 175 182 196 200 208 224 245 256 260 280 313 320 325 338 350 364 392 400 416 448 455 490 512 520 560 626 637 640 650 676 700 728 784 800 832 845 896 910 980 1024 1040 1120 1183 1225 1252 1274 1280 1300 1352 1400 1456 1565 1568 1600 1664 1690 1792 1820 1960 2048 2080 2191 2197 2240 2275 2366 2450 2504 2548 2560 2600 2704 2800 2912 3130 3136 3185 3200 3328 3380 3584 3640 3920 4069 4096 4160 4225 4382 4394 4480 4550 4732 4900 5008 5096 5120 5200 5408 5600 5824 5915 6260 6272 6370 6400 6656 6760 7168 7280 7825 7840 8138 8192 8281 8320 8450 8764 8788 8960 9100 9464 9800 10016 10192 10240 10400 10816 10955 10985 11200 11648 11830 12520 12544 12740 12800 13312 13520 14336 14560 15337 15379 15650 15680 15925 16276 16384 16562 16640 16900 17528 17576 17920 18200 18928 19600 20032 20345 20384 20480 20800 21632 21910 21970 22400 23296 23660 25040 25088 25480 25600 26624 27040 28483 28672 29120 29575 30674 30758 31300 31360 31850 32552 33124 33280 33800 35056 35152 35840 36400 37856 39200 40064 40690 40768 40960 41405 41600 43264 43820 43940 44800 46592 47320 50080 50176 50960 51200 52897 53248 54080 54775 54925 56966 57344 58240 59150 61348 61516 62600 62720 63700 65104 66248 66560 67600 70112 70304 71680 72800 75712 76685 76895 78400 80128 81380 81536 81920 82810 83200 86528 87640 87880 89600 93184 94640 100160 100352 101725 101920 102400 105794 106496 107653 108160 109550 109850 113932 114688 116480 118300 122696 123032 125200 125440 127400 130208 132496 133120 135200 140224 140608 142415 143360 145600 151424 153370 153790 156800 160256 162760 163072 165620 166400 173056 175280 175760 179200 186368 189280 199381 200320 200704 203450 203840 204800 207025 211588 212992 215306 216320 219100 219700 227864 232960 236600 245392 246064 250400 250880 254800 260416 264485 264992 266240 270400 280448 281216 284830 286720 291200 302848 306740 307580 313600 320512 325520 326144 331240 332800 346112 350560 351520 358400 370279 372736 378560 383425 384475 398762 400640 401408 406900 407680 409600 414050 423176 430612 432640 438200 439400 455728 465920 473200 490784 492128 500800 501760 509600 520832 528970 529984 532480 538265 540800 560896 562432 569660 573440 582400 605696 613480 615160 627200 641024 651040 652288 662480 665600 687661 692224 701120 703040 712075 716800 740558 745472 757120 766850 768950 797524 801280 802816 813800 815360 828100 846352 861224 865280 876400 878800 911456 931840 946400 981568 984256 996905 1001600 1003520 1019200 1041664 1057940 1059968 1064960 1076530 1081600 1121792 1124864 1139320 1164800 1211392 1226960 1230320 1254400 1282048 1302080 1304576 1322425 1324960 1331200 1375322 1384448 1402240 1406080 1424150 1433600 1481116 1490944 1514240 1533700 1537900 1595048 1602560 1627600 1630720 1656200 1692704 1722448 1730560 1752800 1757600 1822912 1851395 1863680 1892800 1963136 1968512 1993810 2003200 2007040 2038400 2083328 2115880 2119936 2153060 2163200 2243584 2249728 2278640 2329600 2422784 2453920 2460640 2508800 2564096 2591953 2604160 2609152 2644850 2649920 2662400 2691325 2750644 2768896 2804480 2812160 2848300 2867200 2962232 3028480 3067400 3075800 3190096 3205120 3255200 3261440 3312400 3385408 3438305 3444896 3461120 3505600 3515200 3645824 3702790 3727360 3785600 3926272 3937024 3987620 4006400 4014080 4076800 4166656 4231760 4239872 4306120 4326400 4487168 4499456 4557280 4659200 4813627 4845568 4907840 4921280 4984525 5017600 5128192 5183906 5208320 5218304 5289700 5299840 5324800 5382650 5501288 5608960 5624320 5696600 5924464 6056960 6134800 6151600 6380192 6410240 6510400 6522880 6624800 6770816 6876610 6889792 6922240 7011200 7030400 7291648 7405580 7454720 7571200 7852544 7874048 7975240 8012800 8153600 8333312 8463520 8479744 8612240 8652800 8974336 8998912 9114560 9256975 9318400 9627254 9691136 9815680 9842560 9969050 10035200 10367812 10416640 10436608 10579400 10599680 10765300 11002576 11217920 11248640 11393200 11848928 12113920 12269600 12303200 12760384 12820480 12959765 13020800 13045760 13249600 13541632 13753220 13779584 13844480 14022400 14060800 14583296 14811160 15142400 15705088 15748096 15950480 16025600 16307200 16666624 16927040 16959488 17191525 17224480 17305600 17948672 17997824 18229120 18513950 18636800 19254508 19382272 19631360 19685120 19938100 20070400 20735624 20833280 21158800 21199360 21530600 22005152 22435840 22497280 22786400 23697856 24068135 24227840 24539200 24606400 25520768 25640960 25919530 26041600 26091520 26499200 27083264 27506440 27559168 28044800 28121600 29166592 29622320 30284800 31410176 31496192 31900960 32051200 32614400 33333248 33695389 33854080 33918976 34383050 34448960 34611200 35897344 35995648 36458240 37027900 37273600 38509016 39262720 39370240 39876200 41471248 41666560 42317600 42398720 43061200 44010304 44871680 44994560 45572800 47395712 48136270 48455680 49078400 49212800 51041536 51839060 52083200 52183040 52998400 54166528 55012880 55118336 56089600 56243200 58333184 59244640 60569600 62820352 62992384 63801920 64102400 64798825 65228800 66666496 67390778 67708160 67837952 68766100 68897920 69222400 72916480 74055800 77018032 78525440 78740480 79752400 82942496 83333120 84635200 84797440 86122400 88020608 89743360 89989120 91145600 94791424 96272540 96911360 98156800 98425600 102083072 103678120 104166400 105996800 108333056 110025760 110236672 112179200 112486400 116666368 118489280 120340675 121139200 125640704 125984768 127603840 128204800 129597650 130457600 134781556 135416320 135675904 137532200 137795840 145832960 148111600 154036064 157050880 157480960 159504800 165884992 166666240 168476945 169270400 169594880 172244800 176041216 179486720 179978240 182291200 189582848 192545080 196313600 196851200 204166144 207356240 208332800 211993600 216666112 220051520 220473344 224358400 224972800 233332736 236978560 240681350 242278400 251281408 251969536 255207680 259195300 260915200 269563112 270832640 275064400 275591680 291665920 296223200 308072128 314101760 314961920 319009600 331769984 333332480 336953890 338540800 339189760 344489600 352082432 364582400 379165696 385090160 392627200 393702400 408332288 414712480 416665600 423987200 433332224 440103040 440946688 448716800 449945600 466665472 473957120 481362700 484556800 510415360 518390600 539126224 541665280 550128800 551183360 583331840 592446400 616144256 628203520 629923840 638019200 663539968 673907780 677081600 678379520 688979200 704164864 729164800 758331392 770180320 785254400 787404800 816664576 829424960 833331200 842384725 847974400 866664448 880206080 881893376 897433600 899891200 947914240 962725400 1020830720 1036781200 1078252448 1083330560 1100257600 1102366720 1166663680 1184892800 1232288512 1256407040 1259847680 1276038400 1327079936 1347815560 1354163200 1377958400 1408329728 1458329600 1516662784 1540360640 1570508800 1574809600 1633329152 1658849920 1666662400 1684769450 1695948800 1760412160 1763786752 1895828480 1925450800 2041661440 2073562400 2156504896 2166661120 2200515200 2204733440 2333327360 2369785600 2464577024 2552076800 2654159872 2695631120 2708326400 2755916800 2816659456 2916659200 3033325568 3080721280 3141017600 3149619200 3266658304 3317699840 3369538900 3391897600 3520824320 3791656960 3850901600 4083322880 4147124800 4313009792 4333322240 4401030400 4409466880 4739571200 4929154048 5104153600 5308319744 5391262240 5416652800 5511833600 5633318912 5833318400 6066651136 6161442560 6282035200 6299238400 6635399680 6739077800 7041648640 7583313920 7701803200 8166645760 8294249600 8626019584 8802060800 8818933760 9479142400 9858308096 10208307200 10616639488 10782524480 10833305600 11023667200 11266637824 11666636800 12322885120 13270799360 13478155600 14083297280 15166627840 15403606400 16333291520 16588499200 17252039168 17604121600 18958284800 19716616192 20416614400 21233278976 21565048960 21666611200 22047334400 24645770240 26541598720 26956311200 28166594560 30333255680 30807212800 33176998400 34504078336 35208243200 37916569600 39433232384 40833228800 42466557952 43130097920 44094668800 49291540480 53083197440 53912622400 56333189120 61614425600 66353996800 69008156672 70416486400 75833139200 78866464768 81666457600 86260195840 98583080960 106166394880 107825244800 123228851200 132707993600 138016313344 140832972800 151666278400 172520391680 197166161920 212332789760 215650489600 246457702400 265415987200 276032626688 281665945600 345040783360 394332323840 431300979200 492915404800 530831974400 552065253376 690081566720 862601958400 985830809600 1061663948800 1380163133440 1725203916800 1971661619200 2760326266880 3450407833600 6900815667200 13801631334400
- Sum of all divisors σ(n): 43269296655480
- Sum of proper divisors (its aliquot sum) s(n): 29467665321080
- 13801631334400 is an abundant number, because the sum of its proper divisors (29467665321080) is greater than itself. Its abundance is 15666033986680
Bases of 13801631334400
- Binary: 110010001101011100010101010101000000000000002
- Hexadecimal: 0xC8D71554000
- Base-36: 4W4DQY5TS
Squares and roots of 13801631334400
- 13801631334400 squared (138016313344002) is 190485027490691924623360000
- 13801631334400 cubed (138016313344003) is 2629004124149579071218808294211584000000
-
The
square root of 13801631334400 is 3715054.6879420227 -
The
cube root of 13801631334400 is 23987.0481820615
Scales and comparisons
How big is 13801631334400?- 13,801,631,334,400 seconds is equal to 438,849 years, 9 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,801,631,334,400 would take you about one million, ninety-seven thousand, one hundred twenty-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 13801631334400 cubic inches would be around 1998.9 feet tall.
Recreational maths with 13801631334400
- 13801631334400 backwards is 00443313610831
- The number of decimal digits it has is: 14
- The sum of 13801631334400's digits is 37
- More coming soon!
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The information we have on file for 13801631334400 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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