138189542400
138,189,542,400 is an even composite number composed of five prime numbers multiplied together.
138189542400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty divisors.
Prime factorization of 138189542400:
210 × 33 × 52 × 7 × 134
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 138189542400 from the Numbermatics database.
Names of 138189542400
- Cardinal: 138189542400 can be written as One hundred thirty-eight billion, one hundred eighty-nine million, five hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.381895424 × 1011
Factors of 138189542400
Divisors of 138189542400
- Number of divisors d(n): 1320
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 108 112 117 120 126 128 130 135 140 144 150 156 160 168 169 175 180 182 189 192 195 200 208 210 216 224 225 234 240 252 256 260 270 273 280 288 300 312 315 320 325 336 338 350 351 360 364 378 384 390 400 416 420 432 448 450 455 468 480 504 507 512 520 525 540 546 560 576 585 600 624 630 640 650 672 675 676 700 702 720 728 756 768 780 800 819 832 840 845 864 896 900 910 936 945 960 975 1008 1014 1024 1040 1050 1080 1092 1120 1152 1170 1183 1200 1248 1260 1280 1300 1344 1350 1352 1365 1400 1404 1440 1456 1512 1521 1536 1560 1575 1600 1638 1664 1680 1690 1728 1755 1792 1800 1820 1872 1890 1920 1950 2016 2028 2080 2100 2160 2184 2197 2240 2275 2304 2340 2366 2400 2457 2496 2520 2535 2560 2600 2688 2700 2704 2730 2800 2808 2880 2912 2925 3024 3042 3072 3120 3150 3200 3276 3328 3360 3380 3456 3510 3549 3584 3600 3640 3744 3780 3840 3900 4032 4056 4095 4160 4200 4225 4320 4368 4394 4480 4550 4563 4608 4680 4725 4732 4800 4914 4992 5040 5070 5120 5200 5376 5400 5408 5460 5600 5616 5760 5824 5850 5915 6048 6084 6240 6300 6400 6552 6591 6656 6720 6760 6825 6912 7020 7098 7168 7200 7280 7488 7560 7605 7680 7800 8064 8112 8190 8320 8400 8450 8640 8736 8775 8788 8960 9100 9126 9216 9360 9450 9464 9600 9828 9984 10080 10140 10400 10647 10752 10800 10816 10920 10985 11200 11232 11520 11648 11700 11830 12096 12168 12285 12480 12600 12675 12800 13104 13182 13312 13440 13520 13650 13824 14040 14196 14400 14560 14976 15120 15210 15360 15379 15600 16128 16224 16380 16640 16800 16900 17280 17472 17550 17576 17745 17920 18200 18252 18720 18900 18928 19200 19656 19773 19968 20160 20280 20475 20800 21294 21504 21600 21632 21840 21970 22400 22464 22815 23040 23296 23400 23660 24192 24336 24570 24960 25200 25350 25600 26208 26364 26880 27040 27300 27648 28080 28392 28561 28800 29120 29575 29952 30240 30420 30758 31200 31941 32256 32448 32760 32955 33280 33600 33800 34560 34944 35100 35152 35490 35840 36400 36504 37440 37800 37856 38025 38400 39312 39546 39936 40320 40560 40950 41600 42588 43200 43264 43680 43940 44800 44928 45630 46080 46137 46592 46800 47320 48384 48672 49140 49920 50400 50700 52416 52728 53235 53760 54080 54600 54925 56160 56784 57122 57600 58240 59150 59319 59904 60480 60840 61425 61516 62400 63882 64512 64896 65520 65910 66560 67200 67600 69120 69888 70200 70304 70980 72800 73008 74880 75600 75712 76050 76800 76895 78624 79092 80640 81120 81900 83200 85176 85683 86400 86528 87360 87880 88725 89600 89856 91260 92274 93184 93600 94640 96768 97344 98280 98865 99840 100800 101400 104832 105456 106470 107520 108160 109200 109850 112320 113568 114075 114244 115200 116480 118300 118638 119808 120960 121680 122850 123032 124800 127764 129792 131040 131820 134400 135200 138240 138411 139776 140400 140608 141960 142805 145600 146016 149760 151200 151424 152100 153790 157248 158184 159705 161280 162240 163800 164775 166400 170352 171366 172800 173056 174720 175760 177450 179200 179712 182520 184548 187200 189280 193536 194688 196560 197730 199680 199927 201600 202800 209664 210912 212940 216320 218400 219700 224640 227136 228150 228488 230400 230685 232960 236600 237276 241920 243360 245700 246064 249600 255528 257049 259584 262080 263640 266175 268800 270400 276822 279552 280800 281216 283920 285610 291200 292032 296595 299520 302400 302848 304200 307580 314496 316368 319410 322560 324480 327600 329550 332800 340704 342732 345600 349440 351520 354900 359424 365040 369096 374400 378560 384475 389376 393120 395460 399854 403200 405600 415233 419328 421824 425880 428415 432640 436800 439400 449280 454272 456300 456976 461370 465920 473200 474552 483840 486720 491400 492128 494325 499200 511056 514098 519168 524160 527280 532350 537600 540800 553644 561600 562432 567840 571220 582400 584064 593190 599040 599781 604800 605696 608400 615160 628992 632736 638820 648960 655200 659100 681408 685464 691200 692055 698880 703040 709800 714025 730080 738192 748800 757120 768950 771147 778752 786240 790920 798525 799708 806400 811200 830466 838656 843648 851760 856830 865280 873600 878800 898560 908544 912600 913952 922740 946400 949104 967680 973440 982800 984256 988650 998400 999635 1022112 1028196 1048320 1054560 1064700 1081600 1107288 1123200 1124864 1135680 1142440 1153425 1164800 1168128 1186380 1199562 1209600 1211392 1216800 1230320 1257984 1265472 1277640 1285245 1297920 1310400 1318200 1362816 1370928 1384110 1397760 1406080 1419600 1428050 1460160 1476384 1482975 1497600 1514240 1537900 1542294 1557504 1572480 1581840 1597050 1599416 1612800 1622400 1660932 1687296 1703520 1713660 1747200 1757600 1797120 1799343 1817088 1825200 1827904 1845480 1892800 1898208 1946880 1965600 1968512 1977300 1999270 2044224 2056392 2076165 2096640 2109120 2129400 2142075 2163200 2214576 2246400 2249728 2271360 2284880 2306850 2329600 2336256 2372760 2399124 2419200 2433600 2460640 2515968 2530944 2555280 2570490 2595840 2620800 2636400 2725632 2741856 2768220 2812160 2839200 2856100 2920320 2952768 2965950 2995200 2998905 3028480 3075800 3084588 3144960 3163680 3194100 3198832 3244800 3321864 3374592 3407040 3427320 3460275 3494400 3515200 3598686 3634176 3650400 3655808 3690960 3785600 3796416 3855735 3893760 3931200 3937024 3954600 3998540 4088448 4112784 4152330 4193280 4218240 4258800 4284150 4326400 4429152 4492800 4542720 4569760 4613700 4672512 4745520 4798248 4838400 4867200 4921280 4998175 5061888 5110560 5140980 5241600 5272800 5398029 5451264 5483712 5536440 5624320 5678400 5712200 5840640 5905536 5931900 5997810 6056960 6151600 6169176 6289920 6327360 6388200 6397664 6426225 6489600 6643728 6749184 6814080 6854640 6920550 6988800 7030400 7197372 7300800 7311616 7381920 7571200 7592832 7711470 7787520 7862400 7874048 7909200 7997080 8176896 8225568 8304660 8436480 8517600 8568300 8858304 8985600 8996715 9085440 9139520 9227400 9491040 9596496 9734400 9842560 9996350 10123776 10221120 10281960 10380825 10483200 10545600 10796058 10902528 10967424 11072880 11248640 11356800 11424400 11681280 11811072 11863800 11995620 12303200 12338352 12579840 12654720 12776400 12795328 12852450 12979200 13287456 13628160 13709280 13841100 14060800 14394744 14601600 14623232 14763840 14994525 15142400 15185664 15422940 15724800 15748096 15818400 15994160 16353792 16451136 16609320 16872960 17035200 17136600 17716608 17993430 18170880 18279040 18454800 18982080 19192992 19278675 19468800 19685120 19992700 20247552 20442240 20563920 20761650 20966400 21091200 21592116 21934848 22145760 22713600 22848800 23362560 23622144 23727600 23991240 24606400 24676704 25309440 25552800 25590656 25704900 26574912 26990145 27256320 27418560 27682200 28121600 28789488 29203200 29246464 29527680 29989050 30284800 30371328 30845880 31449600 31636800 31988320 32707584 32902272 33218640 33745920 34070400 34273200 35433216 35986860 36558080 36909600 37964160 38385984 38557350 38937600 39370240 39985400 40884480 41127840 41523300 42182400 43184232 43869696 44291520 44983575 45427200 45697600 47244288 47455200 47982480 49212800 49353408 50618880 51105600 51181312 51409800 53149824 53980290 54512640 54837120 55364400 56243200 57578976 58406400 59055360 59978100 60742656 61691760 62899200 63273600 63976640 65804544 66437280 68140800 68546400 70866432 71973720 73116160 73819200 75928320 76771968 77114700 78740480 79970800 81768960 82255680 83046600 84364800 86368464 87739392 88583040 89967150 90854400 91395200 94910400 95964960 98425600 98706816 101237760 102211200 102362624 102819600 106299648 107960580 109674240 110728800 115157952 116812800 118110720 119956200 123383520 126547200 127953280 131609088 132874560 134950725 136281600 137092800 141732864 143947440 146232320 147638400 151856640 153543936 154229400 159941600 163537920 164511360 166093200 168729600 172736928 177166080 179934300 182790400 189820800 191929920 196851200 197413632 204422400 204725248 205639200 212599296 215921160 219348480 221457600 230315904 236221440 239912400 246767040 253094400 255906560 263218176 265749120 269901450 272563200 274185600 287894880 295276800 303713280 307087872 308458800 319883200 329022720 332186400 345473856 354332160 359868600 365580800 379641600 383859840 393702400 394827264 408844800 411278400 425198592 431842320 438696960 442915200 460631808 479824800 493534080 506188800 511813120 531498240 539802900 548371200 575789760 590553600 614175744 616917600 639766400 658045440 664372800 690947712 708664320 719737200 731161600 759283200 767719680 789654528 817689600 822556800 863684640 885830400 921263616 959649600 987068160 1023626240 1062996480 1079605800 1096742400 1151579520 1181107200 1233835200 1279532800 1316090880 1328745600 1381895424 1439474400 1518566400 1535439360 1645113600 1727369280 1771660800 1842527232 1919299200 1974136320 2125992960 2159211600 2193484800 2303159040 2467670400 2559065600 2657491200 2763790848 2878948800 3070878720 3290227200 3454738560 3543321600 3838598400 3948272640 4318423200 4606318080 4935340800 5118131200 5314982400 5527581696 5757897600 6580454400 6909477120 7677196800 8636846400 9212636160 9870681600 10629964800 11515795200 13818954240 15354393600 17273692800 19741363200 23031590400 27637908480 34547385600 46063180800 69094771200 138189542400
- Sum of all divisors σ(n): 628295371840
- Sum of proper divisors (its aliquot sum) s(n): 490105829440
- 138189542400 is an abundant number, because the sum of its proper divisors (490105829440) is greater than itself. Its abundance is 351916287040
Bases of 138189542400
- Binary: 100000001011001011110100010100000000002
- Hexadecimal: 0x202CBD1400
- Base-36: 1RHEHHC0
Squares and roots of 138189542400
- 138189542400 squared (1381895424002) is 19096349628721397760000
- 138189542400 cubed (1381895424003) is 2638915816703419853542785024000000
-
The
square root of 138189542400 is 371738.5403748179 -
The
cube root of 138189542400 is 5170.0140845917
Scales and comparisons
How big is 138189542400?- 138,189,542,400 seconds is equal to 4,394 years.
-
To count from 1 to 138,189,542,400 would take you about eight thousand, seven hundred eighty-eight 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 138189542400 cubic inches would be around 430.8 feet tall.
Recreational maths with 138189542400
- 138189542400 backwards is 004245981831
- 138189542400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138189542400's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138189542400 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 138189542400 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/138189542400/
Chicago style:
Numbermatics. 2024. "Number 138189542400 - Facts about the integer". https://numbermatics.com/n/138189542400/
The information we have on file for 138189542400 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!
Keywords: Divisors of 138189542400, math, Factors of 138189542400, curriculum, school, college, exams, university, Prime factorization of 138189542400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred eighty-nine million, five hundred forty-two thousand, four hundred.