13738284134400
13,738,284,134,400 is an even composite number composed of five prime numbers multiplied together.
13738284134400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 13738284134400:
212 × 3 × 52 × 72 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 97 × 97 × 97)See below for interesting mathematical facts about the number 13738284134400 from the Numbermatics database.
Names of 13738284134400
- Cardinal: 13738284134400 can be written as Thirteen trillion, seven hundred thirty-eight billion, two hundred eighty-four million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.37382841344 × 1013
Factors of 13738284134400
Divisors of 13738284134400
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 97 98 100 105 112 120 128 140 147 150 160 168 175 192 194 196 200 210 224 240 245 256 280 291 294 300 320 336 350 384 388 392 400 420 448 480 485 490 512 525 560 582 588 600 640 672 679 700 735 768 776 784 800 840 896 960 970 980 1024 1050 1120 1164 1176 1200 1225 1280 1344 1358 1400 1455 1470 1536 1552 1568 1600 1680 1792 1920 1940 1960 2037 2048 2100 2240 2328 2352 2400 2425 2450 2560 2688 2716 2800 2910 2940 3072 3104 3136 3200 3360 3395 3584 3675 3840 3880 3920 4074 4096 4200 4480 4656 4704 4753 4800 4850 4900 5120 5376 5432 5600 5820 5880 6144 6208 6272 6400 6720 6790 7168 7275 7350 7680 7760 7840 8148 8400 8960 9312 9408 9409 9506 9600 9700 9800 10185 10240 10752 10864 11200 11640 11760 12288 12416 12544 12800 13440 13580 14259 14336 14550 14700 15360 15520 15680 16296 16800 16975 17920 18624 18816 18818 19012 19200 19400 19600 20370 20480 21504 21728 22400 23280 23520 23765 24832 25088 25600 26880 27160 28227 28518 28672 29100 29400 30720 31040 31360 32592 33600 33950 35840 37248 37632 37636 38024 38400 38800 39200 40740 43008 43456 44800 46560 47040 47045 47530 49664 50176 50925 51200 53760 54320 56454 57036 58200 58800 61440 62080 62720 65184 65863 67200 67900 71295 71680 74496 75264 75272 76048 76800 77600 78400 81480 86016 86912 89600 93120 94080 94090 95060 99328 100352 101850 102400 107520 108640 112908 114072 116400 117600 118825 124160 125440 130368 131726 134400 135800 141135 142590 143360 148992 150528 150544 152096 153600 155200 156800 162960 173824 179200 186240 188160 188180 190120 197589 198656 200704 203700 215040 217280 225816 228144 232800 235200 235225 237650 248320 250880 260736 263452 268800 271600 282270 285180 297984 301056 301088 304192 307200 310400 313600 325920 329315 347648 356475 358400 372480 376320 376360 380240 395178 397312 407400 430080 434560 451632 456288 461041 465600 470400 470450 475300 496640 501760 521472 526904 537600 543200 564540 570360 595968 602112 602176 608384 620800 627200 651840 658630 695296 705675 712950 716800 744960 752640 752720 760480 790356 814800 869120 903264 912576 912673 922082 931200 940800 940900 950600 987945 993280 1003520 1042944 1053808 1075200 1086400 1129080 1140720 1191936 1204352 1216768 1241600 1254400 1303680 1317260 1383123 1390592 1411350 1425900 1489920 1505280 1505440 1520960 1580712 1629600 1646575 1738240 1806528 1825152 1825346 1844164 1862400 1881600 1881800 1901200 1975890 1986560 2085888 2107616 2150400 2172800 2258160 2281440 2305205 2408704 2433536 2483200 2508800 2607360 2634520 2738019 2766246 2781184 2822700 2851800 2979840 3010560 3010880 3041920 3161424 3259200 3293150 3476480 3613056 3650304 3650692 3688328 3724800 3763200 3763600 3802400 3951780 4171776 4215232 4345600 4516320 4562880 4563365 4610410 4817408 4867072 4939725 4966400 5017600 5214720 5269040 5476038 5532492 5645400 5703600 5959680 6021760 6083840 6322848 6388711 6518400 6586300 6915615 6952960 7226112 7300608 7301384 7376656 7449600 7526400 7527200 7604800 7903560 8343552 8430464 8691200 9032640 9125760 9126730 9220820 9634816 9734144 9879450 9932800 10429440 10538080 10952076 11064984 11290800 11407200 11526025 12043520 12167680 12645696 12777422 13036800 13172600 13690095 13831230 13905920 14452224 14601216 14602768 14753312 14899200 15052800 15054400 15209600 15807120 16860928 17382400 18065280 18251520 18253460 18441640 19166133 19269632 19468288 19758900 20858880 21076160 21904152 22129968 22581600 22814400 22816825 23052050 24087040 24335360 25291392 25554844 26073600 26345200 27380190 27662460 28904448 29202432 29205536 29506624 29798400 30108800 30419200 31614240 31943555 33721856 34578075 34764800 36130560 36503040 36506920 36883280 38332266 38539264 39517800 41717760 42152320 43808304 44259936 44720977 45163200 45628800 45633650 46104100 48174080 48670720 50582784 51109688 52147200 52690400 54760380 55324920 57808896 58404864 58411072 59013248 60217600 60838400 63228480 63887110 67443712 68450475 69156150 69529600 72261120 73006080 73013840 73766560 76664532 79035600 84304640 87616608 88519872 89441954 90326400 91257600 91267300 92208200 95830665 96348160 97341440 101165568 102219376 104294400 105380800 109520760 110649840 115617792 116822144 118026496 120435200 121676800 126456960 127774220 134162931 134887424 136900950 138312300 144522240 146012160 146027680 147533120 153329064 158071200 159717775 168609280 175233216 177039744 178883908 180652800 182515200 182534600 184416400 191661330 192696320 202331136 204438752 208588800 210761600 219041520 221299680 223604885 233644288 236052992 240870400 243353600 252913920 255548440 268325862 269774848 273801900 276624600 289044480 292024320 292055360 295066240 306658128 316142400 319435550 337218560 350466432 354079488 357767816 361305600 365030400 365069200 368832800 383322660 404662272 408877504 421523200 438083040 442599360 447209770 467288576 472105984 479153325 481740800 486707200 505827840 511096880 536651724 547603800 553249200 578088960 584110720 590132480 613316256 632284800 638871100 670814655 674437120 700932864 708158976 715535632 722611200 730060800 730138400 737665600 766645320 809324544 817755008 843046400 876166080 885198720 894419540 934577152 944211968 958306650 963481600 1011655680 1022193760 1073303448 1095207600 1106498400 1118024425 1168221440 1180264960 1226632512 1264569600 1277742200 1341629310 1348874240 1401865728 1416317952 1431071264 1445222400 1460121600 1460276800 1475331200 1533290640 1635510016 1686092800 1752332160 1770397440 1788839080 1869154304 1888423936 1916613300 2023311360 2044387520 2146606896 2190415200 2212996800 2236048850 2336442880 2360529920 2453265024 2529139200 2555484400 2683258620 2803731456 2832635904 2862142528 2890444800 2920553600 2950662400 3066581280 3271020032 3354073275 3372185600 3504664320 3540794880 3577678160 3738308608 3833226600 4046622720 4088775040 4293213792 4380830400 4425993600 4472097700 4672885760 4721059840 4906530048 5058278400 5110968800 5366517240 5607462912 5665271808 5724285056 5841107200 5901324800 6133162560 6542040064 6708146550 6744371200 7009328640 7081589760 7155356320 7666453200 8177550080 8586427584 8761660800 8851987200 8944195400 9345771520 9442119680 9813060096 10116556800 10221937600 10733034480 11214925824 11448570112 11682214400 11802649600 12266325120 13084080128 13416293100 14018657280 14163179520 14310712640 15332906400 16355100160 17172855168 17523321600 17703974400 17888390800 18691543040 19626120192 20233113600 20443875200 21466068960 22897140224 23364428800 23605299200 24532650240 26168160256 26832586200 28037314560 28326359040 28621425280 30665812800 32710200320 34345710336 35046643200 35407948800 35776781600 39252240384 40887750400 42932137920 45794280448 46728857600 47210598400 49065300480 53665172400 56074629120 57242850560 61331625600 65420400640 68691420672 70093286400 70815897600 71553563200 78504480768 81775500800 85864275840 91588560896 93457715200 98130600960 107330344800 114485701120 122663251200 130840801280 137382841344 140186572800 141631795200 143107126400 163551001600 171728551680 183177121792 196261201920 214660689600 228971402240 245326502400 274765682688 280373145600 286214252800 327102003200 343457103360 392522403840 429321379200 457942804480 490653004800 549531365376 572428505600 654204006400 686914206720 858642758400 915885608960 981306009600 1144857011200 1373828413440 1717285516800 1962612019200 2289714022400 2747656826880 3434571033600 4579428044800 6869142067200 13738284134400
- Sum of all divisors σ(n): 53388677853840
- Sum of proper divisors (its aliquot sum) s(n): 39650393719440
- 13738284134400 is an abundant number, because the sum of its proper divisors (39650393719440) is greater than itself. Its abundance is 25912109585040
Bases of 13738284134400
- Binary: 110001111110101100011000101110110000000000002
- Hexadecimal: 0xC7EB18BB000
- Base-36: 4VBA3NTHC
Squares and roots of 13738284134400
- 13738284134400 squared (137382841344002) is 188740450957506757263360000
- 13738284134400 cubed (137382841344003) is 2592969942909016371892010650435584000000
-
The
square root of 13738284134400 is 3706519.1398939247 -
The
cube root of 13738284134400 is 23950.2930329107
Scales and comparisons
How big is 13738284134400?- 13,738,284,134,400 seconds is equal to 436,834 years, 48 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 13,738,284,134,400 would take you about one million, ninety-two thousand and eighty-seven 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 13738284134400 cubic inches would be around 1995.9 feet tall.
Recreational maths with 13738284134400
- 13738284134400 backwards is 00443148283731
- 13738284134400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13738284134400's digits is 48
- More coming soon!
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The information we have on file for 13738284134400 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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