138925726438400
138,925,726,438,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138925726438400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
138925726438400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138925726438400:
210 × 52 × 11 × 17 × 31 × 37 × 25301
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 17 × 31 × 37 × 25301)See below for interesting mathematical facts about the number 138925726438400 from the Numbermatics database.
Names of 138925726438400
- Cardinal: 138925726438400 can be written as One hundred thirty-eight trillion, nine hundred twenty-five billion, seven hundred twenty-six million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.389257264384 × 1014
Factors of 138925726438400
Divisors of 138925726438400
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 31 32 34 37 40 44 50 55 62 64 68 74 80 85 88 100 110 124 128 136 148 155 160 170 176 185 187 200 220 248 256 272 275 296 310 320 340 341 352 370 374 400 407 425 440 496 512 527 544 550 592 620 629 640 680 682 704 740 748 775 800 814 850 880 925 935 992 1024 1054 1088 1100 1147 1184 1240 1258 1280 1360 1364 1408 1480 1496 1550 1600 1628 1700 1705 1760 1850 1870 1984 2035 2108 2176 2200 2294 2368 2480 2516 2560 2635 2720 2728 2816 2960 2992 3100 3145 3200 3256 3400 3410 3520 3700 3740 3968 4070 4216 4352 4400 4588 4675 4736 4960 5032 5120 5270 5440 5456 5632 5735 5797 5920 5984 6200 6290 6400 6512 6800 6820 6919 7040 7400 7480 7936 8140 8432 8525 8704 8800 9176 9350 9472 9920 10064 10175 10540 10880 10912 11264 11470 11594 11840 11968 12400 12580 12617 12800 13024 13175 13600 13640 13838 14080 14800 14960 15725 15872 16280 16864 17050 17408 17600 18352 18700 18944 19499 19840 20128 20350 21080 21760 21824 22940 23188 23680 23936 24800 25160 25234 25301 25600 26048 26350 27200 27280 27676 28160 28675 28985 29600 29920 31450 31744 32560 33728 34100 34595 35200 36704 37400 37888 38998 39680 40256 40700 42160 43520 43648 45880 46376 47360 47872 49600 50320 50468 50602 52096 52700 54400 54560 55352 56320 57350 57970 59200 59840 62900 63085 65120 67456 68200 69190 70400 73408 74800 77996 79360 80512 81400 84320 87040 87296 91760 92752 94720 95744 97495 99200 100640 100936 101204 104192 105400 108800 109120 110704 114700 115940 118400 119680 125800 126170 126505 130240 134912 136400 138380 140800 144925 146816 149600 155992 158720 161024 162800 168640 172975 174592 183520 185504 189440 191488 194990 198400 201280 201872 202408 208384 210800 214489 217600 218240 221408 229400 231880 236800 239360 251600 252340 253010 260480 269824 272800 276760 278311 281600 289850 293632 299200 311984 315425 322048 325600 337280 345950 349184 367040 371008 389980 396800 402560 403744 404816 416768 421600 428978 430117 435200 436480 442816 458800 463760 473600 478720 487475 503200 504680 506020 520960 539648 545600 553520 556622 579700 587264 598400 623968 630850 632525 644096 651200 674560 691900 734080 742016 779960 784331 793600 805120 807488 809632 843200 857956 860234 872960 885632 917600 927520 936137 947200 957440 974950 1006400 1009360 1012040 1041920 1072445 1091200 1107040 1113244 1159400 1174528 1196800 1247936 1261700 1265050 1302400 1349120 1383800 1391555 1468160 1484032 1559920 1568662 1610240 1614976 1619264 1686400 1715912 1720468 1745920 1771264 1835200 1855040 1872274 1949900 2012800 2018720 2024080 2083840 2144890 2150585 2182400 2214080 2226488 2318800 2393600 2495872 2523400 2530100 2604800 2698240 2767600 2783110 2936320 2968064 3119840 3137324 3220480 3229952 3238528 3372800 3431824 3440936 3542528 3670400 3710080 3744548 3899800 3921655 4025600 4037440 4048160 4289780 4301170 4364800 4428160 4452976 4637600 4680685 4731287 4787200 4991744 5046800 5060200 5209600 5362225 5535200 5566220 5872640 5936128 6239680 6274648 6459904 6477056 6745600 6863648 6881872 6957775 7085056 7340800 7420160 7489096 7799600 7843310 8051200 8074880 8096320 8579560 8602340 8627641 8729600 8856320 8905952 9275200 9361370 9462574 9983488 10093600 10120400 10297507 10419200 10724450 10752925 11070400 11132440 12479360 12549296 12919808 12954112 13333627 13491200 13727296 13763744 13915550 14681600 14840320 14978192 15599200 15686620 15914329 16102400 16149760 16192640 17159120 17204680 17255282 17712640 17811904 18550400 18722740 18925148 19608275 19966976 20187200 20240800 20595014 21448900 21505850 22140800 22264880 23403425 23656435 24958720 25098592 25908224 26667254 27454592 27527488 27831100 29020247 29363200 29680640 29956384 31198400 31373240 31828658 32299520 32385280 34318240 34409360 34510564 35425280 35623808 37100800 37445480 37850296 39216550 40374400 40481600 41190028 42897800 43011700 43138205 44281600 44529760 46806850 47312870 49917440 50197184 51487535 53334508 54909184 55054976 55662200 58040494 59912768 62396800 62746480 63657316 64599040 64770560 66668135 68636480 68818720 69021128 71247616 74201600 74890960 75700592 78433100 79571645 80748800 80963200 82380056 85795600 86023400 86276410 88563200 89059520 93613700 94625740 99834880 100394368 102975070 106669016 109818368 110109952 111324400 116080988 118282175 119825536 124793600 125492960 127314632 129541120 133336270 137272960 137637440 138042256 142495232 145101235 146669897 148403200 149781920 151401184 156866200 159143290 161497600 161926400 164760112 171591200 172046800 172552820 175057619 177126400 178119040 187227400 189251480 200788736 205950140 213338032 215691025 219636736 220219904 222648800 232161976 236564350 239651072 249587200 250985920 254629264 257437675 266672540 274545920 275274880 276084512 284990464 290202470 293339794 299563840 302802368 313732400 318286580 319222717 322995200 323852800 329520224 333340675 343182400 344093600 345105640 350115238 356238080 374454800 378502960 397858225 401577472 411900280 426676064 431382050 440439808 445297600 464323952 473128700 479302144 493344199 499174400 501971840 509258528 514875350 533345080 549091840 550549760 552169024 580404940 586679588 599127680 605604736 627464800 636573160 638445434 647705600 659040448 666681350 686364800 688187200 690211280 700230476 712476160 725506175 733349485 748909600 757005920 795716450 803154944 823800560 853352128 862764100 875288095 890595200 928647904 946257400 958604288 986688398 1003943680 1018517056 1029750700 1066690160 1098183680 1101099520 1104338048 1160809880 1173359176 1198255360 1211209472 1254929600 1273146320 1276890868 1318080896 1333362700 1372729600 1376374400 1380422560 1400460952 1424952320 1451012350 1466698970 1497819200 1514011840 1591432900 1596113585 1647601120 1706704256 1725528200 1750576190 1781190400 1857295808 1892514800 1973376796 2007887360 2037034112 2059501400 2133380320 2202199040 2208676096 2321619760 2346718352 2396510720 2422418944 2466720995 2509859200 2546292640 2553781736 2636161792 2666725400 2745459200 2752748800 2760845120 2800921904 2902024700 2933397940 2995638400 3028023680 3182865800 3192227170 3295202240 3413408512 3451056400 3501152380 3562380800 3666747425 3714591616 3785029600 3946753592 4015774720 4074068224 4119002800 4266760640 4376440475 4417352192 4643239520 4693436704 4793021440 4844837888 4933441990 5019718400 5092585280 5107563472 5272323584 5333450800 5426786189 5490918400 5505497600 5521690240 5601843808 5804049400 5866795880 5991276800 6056047360 6365731600 6384454340 6590404480 6826817024 6902112800 7002304760 7124761600 7333494850 7429183232 7570059200 7893507184 7980567925 8148136448 8238005600 8533521280 8752880950 8834704384 9286479040 9386873408 9866883980 10039436800 10185170560 10215126944 10544647168 10666901600 10853572378 11010995200 11043380480 11203687616 11608098800 11733591760 11982553600 12112094720 12333604975 12731463200 12768908680 13180808960 13653634048 13804225600 14004609520 14666989700 14858366464 15140118400 15787014368 15961135850 16296272896 16476011200 17067042560 17505761900 18572958080 18773746816 19733767960 20078873600 20370341120 20430253888 21333803200 21707144756 22086760960 22407375232 23216197600 23467183520 23965107200 24224189440 24667209950 25462926400 25537817360 26361617920 27133930945 27608451200 28009219040 29333979400 29716732928 30280236800 31574028736 31922271700 32952022400 34134085120 35011523800 37145916160 37547493632 39467535920 40740682240 40860507776 42667606400 43414289512 44173521920 44814750464 46432395200 46934367040 49334419900 50925852800 51075634720 52723235840 54267861890 55216902400 56018438080 58667958800 60560473600 63148057472 63844543400 65904044800 68268170240 70023047600 74291832320 75094987264 78935071840 81481364480 81721015552 85335212800 86828579024 89629500928 92864790400 93868734080 98668839800 101851705600 102151269440 108535723780 110433804800 112036876160 117335917600 121120947200 126296114944 127689086800 131808089600 135669654725 140046095200 148583664640 150189974528 157870143680 163442031104 170670425600 173657158048 179259001856 185729580800 187737468160 197337679600 203703411200 204302538880 217071447560 220867609600 224073752320 234671835200 252592229888 255378173600 263616179200 271339309450 280092190400 315740287360 326884062208 341340851200 347314316096 371459161600 375474936320 394675359200 407406822400 408605077760 434142895120 448147504640 469343670400 505184459776 510756347200 542678618900 560184380800 631480574720 694628632192 742918323200 750949872640 789350718400 817210155520 868285790240 896295009280 938687340800 1021512694400 1085357237800 1120368761600 1262961149440 1389257264384 1578701436800 1634420311040 1736571580480 1877374681600 2043025388800 2170714475600 2240737523200 2525922298880 2778514528768 3157402873600 3473143160960 3754749363200 4086050777600 4341428951200 4481475046400 5557029057536 6314805747200 6946286321920 8172101555200 8682857902400 12629611494400 13892572643840 17365715804800 27785145287680 34731431609600 69462863219200 138925726438400
- Sum of all divisors σ(n): 421717588061184
- Sum of proper divisors (its aliquot sum) s(n): 282791861622784
- 138925726438400 is an abundant number, because the sum of its proper divisors (282791861622784) is greater than itself. Its abundance is 143866135184384
Bases of 138925726438400
- Binary: 111111001011010001010101001001100010100000000002
- Hexadecimal: 0x7E5A2A931400
- Base-36: 1D8TLIKCU8
Squares and roots of 138925726438400
- 138925726438400 squared (1389257264384002) is 19300357466437152748994560000
- 138925726438400 cubed (1389257264384003) is 2681316181545578792313012783209775104000000
-
The
square root of 138925726438400 is 11786675.8010221015 -
The
cube root of 138925726438400 is 51791.7865410883
Scales and comparisons
How big is 138925726438400?- 138,925,726,438,400 seconds is equal to 4,417,408 years, 19 weeks, 3 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,925,726,438,400 would take you about eleven million, forty-three thousand, five hundred twenty 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 138925726438400 cubic inches would be around 4316 feet tall.
Recreational maths with 138925726438400
- 138925726438400 backwards is 004834627529831
- 138925726438400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138925726438400's digits is 62
- More coming soon!
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The information we have on file for 138925726438400 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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