138222591252900
138,222,591,252,900 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138222591252900 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1944 divisors.
138222591252900 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138222591252900:
22 × 3 × 52 × 7 × 112 × 29 × 612 × 712
(2 × 2 × 3 × 5 × 5 × 7 × 11 × 11 × 29 × 61 × 61 × 71 × 71)See below for interesting mathematical facts about the number 138222591252900 from the Numbermatics database.
Names of 138222591252900
- Cardinal: 138222591252900 can be written as One hundred thirty-eight trillion, two hundred twenty-two billion, five hundred ninety-one million, two hundred fifty-two thousand, nine hundred.
Scientific notation
- Scientific notation: 1.382225912529 × 1014
Factors of 138222591252900
Divisors of 138222591252900
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 29 30 33 35 42 44 50 55 58 60 61 66 70 71 75 77 84 87 100 105 110 116 121 122 132 140 142 145 150 154 165 174 175 183 203 210 213 220 231 242 244 275 284 290 300 305 308 319 330 348 350 355 363 366 385 406 420 426 427 435 462 484 497 525 550 580 605 609 610 638 660 671 700 710 725 726 732 770 781 812 825 847 852 854 870 915 924 957 994 1015 1050 1065 1100 1155 1210 1218 1220 1276 1281 1342 1420 1450 1452 1491 1525 1540 1562 1595 1650 1694 1708 1740 1769 1775 1815 1830 1914 1925 1988 2013 2030 2059 2100 2130 2135 2175 2233 2310 2343 2420 2436 2485 2541 2562 2684 2900 2982 3025 3045 3050 3124 3190 3300 3355 3388 3509 3538 3550 3630 3660 3721 3828 3850 3905 4026 4060 4118 4235 4260 4270 4331 4350 4466 4575 4620 4686 4697 4785 4970 5041 5075 5082 5124 5307 5325 5467 5775 5964 6050 6090 6100 6177 6380 6405 6699 6710 7018 7076 7100 7260 7381 7442 7455 7700 7810 7975 8052 8236 8470 8540 8591 8662 8700 8845 8932 9075 9150 9372 9394 9570 9940 10065 10082 10150 10164 10295 10527 10614 10650 10675 10934 11163 11165 11550 11715 12100 12180 12354 12383 12425 12705 12810 12993 13398 13420 14036 14091 14413 14762 14884 14910 15123 15225 15620 15950 16401 16775 16940 17182 17324 17545 17690 18150 18300 18605 18788 19140 19459 19525 20130 20164 20300 20590 21054 21175 21228 21300 21350 21655 21868 22143 22326 22330 22649 23100 23430 23485 23925 24563 24708 24766 24850 25205 25410 25620 25773 25986 26047 26535 26796 27335 28182 28826 29524 29820 30246 30317 30450 30885 31900 32025 32802 33495 33550 34364 35090 35287 35380 36300 36905 37149 37210 37275 38918 39050 40260 40931 41180 42108 42350 42700 42955 43239 43310 44225 44286 44652 44660 45298 46860 46970 47641 47850 49126 49532 49700 50325 50410 50820 51475 51546 51667 51972 52094 52635 53070 54670 55451 55815 55825 56364 57652 58377 58575 60137 60492 60634 60900 61770 61915 63525 64050 64965 65604 66990 67100 67947 70180 70455 70574 72065 73689 73810 74298 74420 74550 75615 77836 78100 78141 81862 82005 84700 85910 86478 86620 87725 88450 88572 90596 90951 93025 93940 95282 95700 97295 98252 100650 100820 102950 103092 103334 104188 105270 105861 106140 107909 108275 109340 110715 110902 111630 111650 113245 116754 117150 117425 120274 121268 122793 122815 123540 123830 125599 126025 127050 128100 128865 129930 130235 132675 133980 135894 136213 136675 140910 141148 142923 144130 146189 147378 147620 148596 149100 151230 151585 154425 155001 156282 158543 163724 164010 166353 167475 171820 172956 175450 176435 176900 180411 181902 184525 185745 186050 190564 194590 201300 204655 205900 206668 210540 211722 214049 214775 215818 216195 216550 221430 221804 223260 223300 226490 233508 234300 234850 238205 240548 245586 245630 247660 249139 251198 252050 254100 257730 258335 259860 260470 263175 264191 265350 271788 272426 273350 277255 279075 281820 285846 286517 288260 291885 292378 294756 300685 302460 303170 307501 308850 309575 310002 312564 317086 323727 324825 328020 332706 333487 334950 339735 350900 352275 352870 360325 360822 363804 368445 369050 371490 372100 376797 378075 388157 389180 390705 408639 409310 410025 423444 428098 429550 431636 432390 433100 438567 442860 450241 452980 454755 469700 475629 476410 486475 491172 491260 498278 502396 504100 515460 516670 520940 524051 526350 528382 529305 530700 539545 544852 546700 553575 554510 558150 566225 571692 573034 583770 584756 601370 606340 609961 613965 614075 615002 617700 619150 620004 627995 634172 642147 644325 647454 649650 651175 665412 666974 669900 679470 681065 704550 705740 714615 720650 721644 730945 736890 738100 742980 747417 753594 755363 756150 757925 775005 776314 781410 792573 792715 817278 818620 820050 831765 856196 859100 859551 864780 877134 879193 882175 900482 902055 909510 922503 928725 951258 952820 972950 996556 1000461 1023275 1023323 1033340 1048102 1052700 1056764 1058610 1070245 1079090 1080975 1107150 1109020 1116300 1132450 1146068 1164471 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725334225 742932498 744152420 749072436 759873950 766153900 781360041 783419340 787817562 799177775 804461595 825332684 830899300 842769290 844241475 871830300 884443450 891752900 895079108 911848740 913989230 927046219 930190525 936340545 937878050 945506100 959013330 967112300 979274175 980928190 1011323148 1014753300 1017135350 1031665855 1041813388 1061332140 1063823530 1072615460 1079021009 1087938538 1096787076 1100507100 1116228630 1118848885 1125453660 1125655300 1139810925 1149230850 1177113828 1179877006 1183878850 1220562420 1237999026 1238220830 1246348950 1248454060 1264153935 1276588236 1280918100 1302266735 1305698900 1313029270 1326665175 1337629350 1340769325 1342618662 1370983845 1373299466 1406817075 1420654620 1444332197 1450668450 1471392285 1485864996 1519747900 1525703025 1560567575 1562720082 1575635124 1595735295 1598355550 1608923190 1631907807 1685538580 1688482950 1768886900 1769815509 1775818275 1827978460 1854092438 1857331245 1860381050 1872681090 1875756100 1918026660 1958548350 1961856380 1969543905 2034270700 2059949199 2063331710 2106923225 2127647060 2158042018 2175877076 2232457260 2237697770 2269664881 2279621850 2284973075 2298461700 2359754012 2367757700 2397533325 2452320475 2475998052 2476441660 2492697900 2528307870 2604533470 2626058540 2653330350 2659558825 2675258700 2681538650 2685237324 2719846345 2741967690 2746598932 2781138657 2790571575 2813634150 2888664394 2901336900 2942784570 2949692515 3051406050 3094997565 3095552075 3121135150 3125440164 3191470590 3196711100 3217846380 3237063027 3263815614 3282573175 3356546655 3376965900 3433248665 3539631018 3551636550 3708184876 3714662490 3720762100 3745362180 3807784883 3906800205 3917096700 3939087810 4022307975 4119898398 4126663420 4213846450 4316084036 4332996591 4475395540 4539329762 4559243700 4569946150 4635231095 4681702725 4795066650 4904640950 5056615740 5158329275 5209066940 5306660700 5319117650 5363077300 5395105045 5439692690 5483935380 5562277314 5581143150 5594244425 5627268300 5777328788 5885569140 5899385030 5983661959 6102812100 6189995130 6191104150 6242270300 6320769675 6382941180 6474126054 6489323533 6511333675 6527631228 6565146350 6713093310 6808994643 6854919225 6866497330 7079262036 7103273100 7221660985 7356961425 7429324980 7553147063 7615569766 7813600410 7878175620 7978676475 8044615950 8159539035 8239796796 8427692900 8665993182 8849077545 9078659524 9139892300 9270462190 9286656225 9363405450 9590133300 9809281900 9847719525 10299745995 10316658550 10638235300 10790210090 10879385380 11124554628 11162286300 11188488850 11348324405 11423354649 11798770060 11967323918 12379990260 12382208300 12641539350 12948252108 12978647066 13022667350 13130292700 13426186620 13599231725 13617989286 13709838450 13732994660 13905693285 14443321970 14713922850 14748462575 15106294126 15231139532 15474987825 15627200820 15887654167 15957352950 16089231900 16185315135 16319078070 16782733275 17166243325 17331986364 17698155090 17950985877 18540924380 18573312450 18726810900 19038924415 19467970599 19534001025 19695439050 20599491990 20633317100 21580420180 21664982955 22376977700 22659441189 22696648810 22846709298 23176155475 23934647836 25283078700 25957294132 26045334700 26975525225 27198463450 27235978572 27419676900 27811386570 28886643940 29427845700 29496925150 29918309795 30212588252 30949975650 31775308334 31914705900 32370630270 32446617665 32638156140 33565466550 34044973215 34332486650 35396310180 35901971754 36108304925 37146624900 37765735315 38077848830 38935941198 39068002050 39390878100 40797695175 41198983980 41885633713 43329965910 44245387725 45318882378 45393297620 45693418596 46352310950 47662962501 51498729975 53951050450 54396926900 55622773140 56741622025 57116773245 58993850300 59836619590 61899951300 63550616668 64741260540 64893235330 65820281549 67130933100 68089946430 68664973300 69528466425 71803943508 72216609850 75531470630 76155697660 77871882396 78136004100 79438270835 80926575675 81595390350 83771267426 86659931820 88490775450 89754929385 90637764756 92704621900 95194622075 95325925002 97339852995 102997459950 107902100900 108324914775 113297205945 113483244050 114233546490 119673239180 125656901139 129786470660 131640563098 136179892860 139056932850 144433219700 149591548975 151062941260 158876541670 161853151350 162233088325 163190780700 167542534852 170224866075 176981550900 179509858770 188828676575 190389244150 190651850004 194679705990 197460844647 205994919900 209428168565 216649829550 226594411890 226966488100 228467092980 238314812505 251313802278 263281126196 278113865700 285583866225 299183097950 317753083340 323706302700 324466176650 329101407745 340449732150 359019717540 377657353150 380778488300 389359411980 394921689294 397191354175 418856337130 433299659100 448774646925 453188823780 460741970843 476629625010 486699264975 502627604556 566486029725 571167732450 598366195900 628284505695 648932353300 658202815490 680899464300 755314706300 789843378588 794382708350 837712674260 897549293850 921483941686 953259250020 973398529950 987304223235 1047140842825 1132972059450 1142335464900 1191574062525 1256569011390 1316405630980 1382225912529 1588765416700 1645507038725 1795098587700 1842967883372 1946797059900 1974608446470 2094281685650 2265944118900 2303709854215 2383148125050 2513138022780 2764451825058 3141422528475 3291014077450 3949216892940 4188563371300 4607419708430 4766296250100 4936521116175 5528903650116 6282845056950 6582028154900 6911129562645 9214839416860 9873042232350 11518549271075 12565690113900 13822259125290 19746084464700 23037098542150 27644518250580 34555647813225 46074197084300 69111295626450 138222591252900
- Sum of all divisors σ(n): 535913554962240
- Sum of proper divisors (its aliquot sum) s(n): 397690963709340
- 138222591252900 is an abundant number, because the sum of its proper divisors (397690963709340) is greater than itself. Its abundance is 259468372456440
Bases of 138222591252900
- Binary: 111110110110110011101000111001110011001101001002
- Hexadecimal: 0x7DB6747399A4
- Base-36: 1CZUKY13FO
Squares and roots of 138222591252900
- 138222591252900 squared (1382225912529002) is 19105484732666267591758410000
- 138222591252900 cubed (1382225912529003) is 2640809606891850933723476750196011889000000
-
The
square root of 138222591252900 is 11756810.4200459063 -
The
cube root of 138222591252900 is 51704.2619830357
Scales and comparisons
How big is 138222591252900?- 138,222,591,252,900 seconds is equal to 4,395,050 years, 44 weeks, 1 day, 20 hours, 55 minutes.
-
To count from 1 to 138,222,591,252,900 would take you about ten million, nine hundred eighty-seven thousand, six hundred twenty-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 138222591252900 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138222591252900
- 138222591252900 backwards is 009252195222831
- The number of decimal digits it has is: 15
- The sum of 138222591252900's digits is 51
- More coming soon!
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MLA style:
"Number 138222591252900 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138222591252900 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138222591252900/
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Numbermatics. 2024. "Number 138222591252900 - Facts about the integer". https://numbermatics.com/n/138222591252900/
The information we have on file for 138222591252900 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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