138530977200
138,530,977,200 is an even composite number composed of seven prime numbers multiplied together.
138530977200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 138530977200:
24 × 32 × 52 × 74 × 11 × 31 × 47
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 31 × 47)See below for interesting mathematical facts about the number 138530977200 from the Numbermatics database.
Names of 138530977200
- Cardinal: 138530977200 can be written as One hundred thirty-eight billion, five hundred thirty million, nine hundred seventy-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.385309772 × 1011
Factors of 138530977200
Divisors of 138530977200
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 31 33 35 36 40 42 44 45 47 48 49 50 55 56 60 62 63 66 70 72 75 77 80 84 88 90 93 94 98 99 100 105 110 112 120 124 126 132 140 141 144 147 150 154 155 165 168 175 176 180 186 188 196 198 200 210 217 220 225 231 235 240 245 248 252 264 275 279 280 282 294 300 308 310 315 329 330 336 341 343 350 360 372 376 385 392 396 400 420 423 434 440 441 450 462 465 470 490 495 496 504 517 525 528 539 550 558 560 564 588 600 616 620 630 651 658 660 682 686 693 700 705 720 735 744 752 770 775 784 792 825 840 846 868 880 882 900 924 930 940 980 987 990 1008 1023 1029 1034 1050 1078 1085 1100 1116 1128 1155 1175 1176 1200 1225 1232 1240 1260 1302 1316 1320 1364 1372 1386 1395 1400 1410 1457 1470 1488 1519 1540 1550 1551 1575 1584 1617 1645 1650 1680 1692 1705 1715 1736 1764 1800 1848 1860 1880 1925 1953 1960 1974 1980 2046 2058 2068 2100 2115 2156 2170 2200 2205 2232 2256 2303 2310 2325 2350 2352 2387 2401 2450 2475 2480 2520 2585 2604 2632 2640 2695 2728 2744 2772 2790 2800 2820 2914 2940 2961 3038 3069 3080 3087 3100 3102 3150 3234 3255 3290 3300 3384 3410 3430 3465 3472 3525 3528 3600 3619 3675 3696 3720 3760 3773 3850 3906 3920 3948 3960 4092 4116 4136 4200 4230 4312 4340 4371 4400 4410 4464 4557 4606 4620 4650 4653 4700 4774 4802 4851 4900 4935 4950 5040 5115 5145 5170 5208 5264 5390 5425 5456 5488 5544 5580 5640 5775 5828 5880 5922 6076 6138 6160 6174 6200 6204 6300 6468 6510 6580 6600 6768 6820 6860 6909 6930 6975 7050 7056 7161 7203 7238 7285 7350 7440 7546 7595 7700 7755 7812 7896 7920 8085 8184 8225 8232 8272 8400 8460 8525 8575 8624 8680 8742 8820 9114 9212 9240 9300 9306 9400 9548 9604 9702 9765 9800 9870 9900 10199 10230 10290 10340 10416 10575 10633 10780 10850 10857 11025 11088 11160 11280 11319 11515 11550 11656 11760 11844 11935 12005 12152 12276 12348 12400 12408 12600 12925 12936 13020 13113 13160 13200 13475 13640 13671 13720 13818 13860 13950 14100 14322 14406 14476 14570 14700 14805 15092 15190 15345 15400 15435 15510 15624 15792 16027 16121 16170 16275 16368 16450 16464 16709 16920 17050 17150 17325 17360 17484 17640 18095 18228 18424 18480 18600 18612 18800 18865 19096 19208 19404 19530 19600 19740 19800 20398 20460 20580 20680 20727 21150 21266 21483 21560 21609 21700 21714 21855 22050 22320 22638 22785 23030 23100 23265 23312 23688 23870 24010 24255 24304 24552 24675 24696 24816 25200 25333 25575 25725 25850 25872 26040 26226 26320 26411 26950 27280 27342 27440 27636 27720 27900 28200 28644 28812 28952 29140 29400 29610 30184 30380 30597 30690 30800 30870 31020 31248 31899 32054 32242 32340 32550 32571 32900 33418 33840 33957 34100 34300 34545 34650 34968 35280 35805 36015 36190 36425 36456 36848 37200 37224 37730 37975 38192 38416 38775 38808 39060 39480 39600 40425 40796 40920 41160 41360 41454 42300 42532 42966 43120 43218 43400 43428 43710 44100 45276 45570 46060 46200 46530 47376 47740 48020 48081 48363 48510 48825 49104 49350 49392 50127 50666 50995 51150 51450 51700 52080 52452 52822 53165 53900 54285 54684 55272 55440 55800 56400 56595 57288 57575 57624 57904 58280 58800 59220 59675 60025 60368 60760 61194 61380 61740 62040 63798 64108 64484 64680 65100 65142 65565 65800 66836 67914 68200 68355 68600 69090 69300 69936 71393 71610 72030 72380 72850 72912 74025 74431 74448 75460 75950 75999 76725 77175 77550 77616 78120 78960 79233 80135 80605 80850 81592 81840 82320 82908 83545 84600 85064 85932 86436 86800 86856 87420 88200 90475 90552 91140 91791 92120 92400 93060 94325 95480 95697 96040 96162 96726 97020 97650 98700 100254 101332 101990 102300 102900 103400 103635 104904 105644 106330 107415 107800 108045 108570 109275 109368 110544 111600 112189 112847 113190 113925 114576 115150 115248 116325 116560 116963 118440 119350 120050 121275 121520 122388 122760 123480 124080 126665 127596 128216 128968 129360 130200 130284 131130 131600 132055 133672 135828 136400 136710 137200 138180 138600 142786 143220 144060 144243 144760 145089 145700 148050 148862 150381 150920 151900 151998 152985 153450 154350 155100 156240 158466 159495 160270 161210 161700 162855 163184 165816 167090 169200 169785 170128 171864 172725 172872 173712 174840 176400 177331 179025 180075 180950 181104 182280 183582 184240 186120 188650 190960 191394 192080 192324 193452 194040 195300 197400 200508 202664 203980 204600 205800 206800 207270 209808 211288 212660 214179 214830 215600 216090 217140 218550 218736 223293 224378 225694 226380 227850 227997 230300 232650 233926 236880 237699 238700 240100 240405 241815 242550 244776 245520 246960 250635 253330 254975 255192 256432 257936 260400 260568 262260 264110 265825 267344 271425 271656 273420 276360 277200 282975 285572 286440 288120 288486 289520 290178 291400 296100 297724 300762 301840 303800 303996 305970 306900 308700 310200 316932 318990 320540 322420 323400 325710 327825 331632 334180 336567 338541 339570 341775 343728 345450 345744 349680 350889 354662 356965 358050 360150 361900 364560 367164 372155 372240 377300 379995 382788 384648 386904 388080 390600 394800 396165 400675 401016 403025 405328 407960 409200 411600 414540 417725 422576 425320 428358 429660 432180 434280 437100 446586 448756 451388 452760 455700 455994 458955 460600 465300 467852 475398 477400 478485 480200 480810 483630 485100 489552 499751 501270 506660 509950 510384 518175 521136 524520 528220 531650 531993 537075 540225 542850 543312 546840 552720 560945 564235 565950 571144 572880 576240 576972 580356 582800 584815 592200 595448 601524 607600 607992 611940 613800 617400 620400 633325 633864 637980 641080 642537 644840 646800 651420 655650 660275 668360 669879 673134 677082 679140 683550 690900 701778 709324 713930 716100 720300 721215 723800 725445 734328 744310 751905 754600 759990 764925 765576 769296 773808 781200 785323 792330 797475 801350 802032 806050 814275 815920 818741 829080 835450 848925 850640 856716 859320 864360 868560 874200 886655 893172 897512 902776 905520 911400 911988 917910 921200 930600 935704 950796 954800 956970 960400 961620 967260 970200 999502 1002540 1009701 1013320 1015623 1019900 1036350 1049040 1052667 1056440 1063300 1063986 1070895 1074150 1080450 1085700 1093680 1116465 1121890 1128470 1131900 1139985 1142288 1153944 1160712 1169630 1184400 1188495 1190896 1202025 1203048 1209075 1215984 1223880 1227600 1234800 1241317 1253175 1266650 1267728 1275960 1282160 1285074 1289680 1302840 1311300 1320550 1336720 1339758 1346268 1354164 1358280 1367100 1381800 1403556 1418648 1427860 1432200 1440600 1442430 1447600 1450890 1468656 1488620 1499253 1503810 1509200 1519980 1529850 1531152 1570646 1584660 1594950 1595979 1602700 1612100 1628550 1637482 1658160 1670900 1682835 1692705 1697850 1713432 1718640 1728720 1748400 1754445 1773310 1784825 1786344 1795024 1805552 1822800 1823976 1835820 1860775 1861200 1871408 1899975 1901592 1913940 1923240 1934520 1940400 1980825 1999004 2005080 2019402 2026640 2031246 2039800 2072700 2105334 2112880 2126600 2127972 2141790 2148300 2160900 2171400 2232930 2243780 2256940 2263800 2279970 2294775 2307888 2321424 2339260 2355969 2376990 2392425 2404050 2406096 2418150 2447760 2456223 2482634 2498755 2506350 2533300 2551920 2570148 2605680 2622600 2641100 2659965 2679516 2692536 2708328 2716560 2734200 2763600 2804725 2807112 2821175 2837296 2855720 2864400 2881200 2884860 2901780 2924075 2977240 2998506 3007620 3039960 3059700 3141292 3169320 3189900 3191958 3205400 3212685 3224200 3257100 3274964 3341800 3349395 3365670 3385410 3395700 3426864 3498257 3508890 3546620 3569650 3572688 3606075 3627225 3647952 3671640 3721550 3723951 3759525 3799950 3803184 3827880 3846480 3869040 3926615 3961650 3998008 4010160 4038804 4062492 4079600 4093705 4145400 4210668 4253200 4255944 4283580 4296600 4321800 4342800 4433275 4465860 4487560 4497759 4513880 4527600 4559940 4589550 4678520 4711938 4753980 4784850 4808100 4836300 4912446 4965268 4997510 5012700 5048505 5066600 5078115 5140296 5245200 5263335 5282200 5319930 5354475 5359032 5385072 5416656 5468400 5497261 5582325 5609450 5614224 5642350 5699925 5711440 5769720 5803560 5848150 5942475 5954480 5997012 6015240 6079920 6119400 6206585 6282584 6338640 6379800 6383916 6410800 6425370 6448400 6514200 6549928 6683600 6698790 6731340 6770820 6791400 6996514 7017780 7067907 7093240 7139300 7212150 7254450 7343280 7368669 7443100 7447902 7496265 7519050 7599900 7655760 7853230 7923300 7979895 7996016 8077608 8124984 8187410 8290800 8414175 8421336 8463525 8511888 8567160 8593200 8643600 8772225 8866550 8931720 8975120 8995518 9027760 9119880 9179100 9357040 9423876 9507960 9569700 9616200 9672600 9824892 9930536 9995020 10025400 10097010 10133200 10156230 10280592 10494771 10526670 10564400 10639860 10708950 10718064 10994522 11164650 11171853 11218900 11284700 11399850 11539440 11607120 11696300 11779845 11884950 11994024 12030480 12238800 12281115 12413170 12493775 12565168 12759600 12767832 12850740 13028400 13099856 13299825 13397580 13462680 13541640 13582800 13993028 14035560 14135814 14186480 14278600 14424300 14508900 14737338 14886200 14895804 14992530 15038100 15199800 15706460 15846600 15959790 16063425 16155216 16249968 16374820 16491783 16746975 16828350 16842672 16927050 17134320 17491285 17544450 17733100 17863440 17991036 18239760 18358200 18619755 18847752 19015920 19139400 19232400 19345200 19633075 19649784 19861072 19990040 20050800 20194020 20312460 20468525 20989542 21053340 21279720 21417900 21989044 22329300 22343706 22437800 22488795 22569400 22799700 23392600 23559690 23769900 23988048 24562230 24826340 24987550 25242525 25390575 25535664 25701480 26316675 26599650 26795160 26925360 27083280 27486305 27986056 28071120 28271628 28557200 28848600 29017800 29474676 29772400 29791608 29985060 30076200 30399600 31032925 31412920 31484313 31693200 31919580 32126850 32749640 32983566 33493950 33656700 33854100 34982570 35088900 35339535 35466200 35982072 36716400 36843345 37239510 37481325 37695504 38278800 38480827 39266150 39299568 39899475 39980080 40388040 40624920 40937050 41979084 42106680 42559440 42835800 43978088 44658600 44687412 44875600 44977590 45138800 45599400 46785200 47119380 47539800 49124460 49475349 49652680 49975100 50485050 50781150 51402960 52473855 52633350 53199300 53590320 54972610 55859265 55972112 56543256 57697200 58035600 58899225 58949352 59583216 59970120 60152400 61405575 62065850 62825840 62968626 63839160 64253700 65499280 65967132 66987900 67313400 67708200 69965140 70177800 70679070 70932400 71964144 73686690 74479020 74962650 76961654 78532300 79798950 80776080 81249840 81874100 82458915 83958168 84213360 85671600 87456425 87956176 89317200 89374824 89955180 91198800 93098775 94238760 95079600 98248920 98950698 99305360 99950200 100970100 101562300 104947710 105266700 106398600 109945220 111718530 112443975 113086512 115442481 117798450 117898704 119940240 122811150 124131700 125937252 127678320 128507400 131934264 133975800 134626800 135416400 137431525 139930280 140355600 141358140 147373380 148958040 149925300 153923308 157064600 157421565 159597900 163748200 164917830 167916336 174912850 176697675 178749648 179910360 184216725 186197550 188477520 192404135 196497840 197901396 199900400 201940200 203124600 209895420 210533400 212797200 219890440 223437060 224887950 230884962 235596900 245622300 247376745 248263400 251874504 257014800 262369275 263868528 267951600 274863050 279296325 279860560 282716280 294746760 297916080 299850600 307846616 314129200 314843130 319195800 327496400 329835660 346327443 349825700 353395350 359820720 368433450 372395100 384808270 395802792 403880400 406249200 412294575 419790840 421066800 439780880 446874120 449775900 461769924 471193800 491244600 494753490 496526800 503749008 524738550 549726100 558592650 565432560 577212405 589493520 599701200 615693232 629686260 638391600 659671320 692654886 699651400 706790700 736866900 744790200 769616540 787107825 791605584 824589150 839581680 893748240 899551800 923539848 942387600 962020675 982489200 989506980 1049477100 1099452200 1117185300 1154424810 1236883725 1259372520 1319342640 1385309772 1399302800 1413581400 1473733800 1489580400 1539233080 1574215650 1649178300 1731637215 1799103600 1847079696 1924041350 1979013960 2098954200 2198904400 2234370600 2308849620 2473767450 2518745040 2770619544 2827162800 2886062025 2947467600 3078466160 3148431300 3298356600 3463274430 3848082700 3958027920 4197908400 4468741200 4617699240 4947534900 5541239088 5772124050 6296862600 6596713200 6926548860 7696165400 8658186075 9235398480 9895069800 11544248100 12593725200 13853097720 15392330800 17316372150 19790139600 23088496200 27706195440 34632744300 46176992400 69265488600 138530977200
- Sum of all divisors σ(n): 644989003776
- Sum of proper divisors (its aliquot sum) s(n): 506458026576
- 138530977200 is an abundant number, because the sum of its proper divisors (506458026576) is greater than itself. Its abundance is 367927049376
Bases of 138530977200
- Binary: 100000010000010001011011110101101100002
- Hexadecimal: 0x204116F5B0
- Base-36: 1RN1RM40
Squares and roots of 138530977200
- 138530977200 squared (1385309772002) is 19190831643986919840000
- 138530977200 cubed (1385309772003) is 2658524660922190509453267648000000
-
The
square root of 138530977200 is 372197.4975735329 -
The
cube root of 138530977200 is 5174.2685572671
Scales and comparisons
How big is 138530977200?- 138,530,977,200 seconds is equal to 4,404 years, 44 weeks, 3 days, 19 hours.
-
To count from 1 to 138,530,977,200 would take you about eight thousand, eight hundred nine 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 138530977200 cubic inches would be around 431.2 feet tall.
Recreational maths with 138530977200
- 138530977200 backwards is 002779035831
- 138530977200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138530977200'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 138530977200 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 138530977200 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138530977200/
Chicago style:
Numbermatics. 2024. "Number 138530977200 - Facts about the integer". https://numbermatics.com/n/138530977200/
The information we have on file for 138530977200 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 138530977200, math, Factors of 138530977200, curriculum, school, college, exams, university, Prime factorization of 138530977200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, five hundred thirty million, nine hundred seventy-seven thousand, two hundred.