138957719040
138,957,719,040 is an even composite number composed of seven prime numbers multiplied together.
138957719040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138957719040:
29 × 32 × 5 × 7 × 19 × 137 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 137 × 331)See below for interesting mathematical facts about the number 138957719040 from the Numbermatics database.
Names of 138957719040
- Cardinal: 138957719040 can be written as One hundred thirty-eight billion, nine hundred fifty-seven million, seven hundred nineteen thousand and forty.
Scientific notation
- Scientific notation: 1.3895771904 × 1011
Factors of 138957719040
Divisors of 138957719040
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 56 57 60 63 64 70 72 76 80 84 90 95 96 105 112 114 120 126 128 133 137 140 144 152 160 168 171 180 190 192 210 224 228 240 252 256 266 274 280 285 288 304 315 320 331 336 342 360 380 384 399 411 420 448 456 480 504 512 532 548 560 570 576 608 630 640 662 665 672 684 685 720 760 768 798 822 840 855 896 912 959 960 993 1008 1064 1096 1120 1140 1152 1197 1216 1233 1260 1280 1324 1330 1344 1368 1370 1440 1520 1536 1596 1644 1655 1680 1710 1792 1824 1918 1920 1986 1995 2016 2055 2128 2192 2240 2280 2304 2317 2394 2432 2466 2520 2560 2603 2648 2660 2688 2736 2740 2877 2880 2979 3040 3192 3288 3310 3360 3420 3584 3648 3836 3840 3972 3990 4032 4110 4256 4384 4480 4560 4608 4634 4788 4795 4864 4932 4965 5040 5206 5296 5320 5376 5472 5480 5754 5760 5958 5985 6080 6165 6289 6384 6576 6620 6720 6840 6951 7296 7672 7680 7809 7944 7980 8064 8220 8512 8631 8768 8960 9120 9268 9576 9590 9728 9864 9930 10080 10412 10592 10640 10752 10944 10960 11508 11520 11585 11916 11970 12160 12330 12578 12768 13015 13152 13240 13440 13680 13902 14385 14592 14895 15344 15618 15888 15960 16128 16440 17024 17262 17536 17920 18221 18240 18536 18867 19152 19180 19728 19860 20160 20824 20853 21184 21280 21888 21920 23016 23040 23170 23427 23832 23940 24320 24660 25156 25536 26030 26304 26480 26880 27360 27804 28770 29184 29790 30688 31236 31445 31776 31920 32256 32880 34048 34524 34755 35072 36442 36480 37072 37734 38304 38360 39045 39456 39720 40320 41648 41706 42368 42560 43155 43776 43840 44023 45347 46032 46340 46854 47664 47880 48640 49320 50312 51072 52060 52608 52960 53760 54663 54720 55608 56601 57540 59580 61376 62472 62890 63552 63840 65760 68096 69048 69510 70144 72884 72960 74144 75468 76608 76720 78090 78912 79440 80640 83296 83412 84736 85120 86310 87552 87680 88046 90694 91105 92064 92680 93708 94335 95328 95760 98640 100624 102144 104120 104265 105216 105920 109326 109440 111216 113202 115080 117135 119160 122752 124944 125780 127104 127680 131520 132069 136041 138096 139020 145768 145920 148288 150936 153216 153440 156180 157824 158880 161280 163989 166592 166824 169472 170240 172620 175360 176092 181388 182210 184128 185360 187416 188670 190656 191520 197280 201248 204288 208240 208530 210432 211840 218652 218880 220115 222432 226404 226735 230160 234270 238320 245504 249888 251560 254208 255360 263040 264138 272082 273315 276192 278040 283005 291536 296576 301872 306432 306880 312360 315648 317429 317760 327978 333184 333648 340480 345240 350720 352184 362776 364420 368256 370720 374832 377340 381312 383040 394560 396207 402496 408123 416480 417060 423680 437304 437760 440230 444864 452808 453470 460320 468540 476640 491008 499776 503120 508416 510720 526080 528276 544164 546630 552384 556080 566010 583072 593152 603744 612864 613760 624720 631296 634858 635520 655956 660345 666368 667296 680205 690480 704368 725552 728840 736512 741440 749664 754680 762624 766080 789120 792414 804992 816246 819945 832960 834120 847360 861593 874608 880460 889728 905616 906940 920640 937080 952287 953280 999552 1006240 1021440 1052160 1056552 1088328 1093260 1104768 1112160 1132020 1166144 1186304 1207488 1227520 1249440 1269716 1271040 1311912 1320690 1332736 1334592 1360410 1380960 1408736 1451104 1457680 1473024 1482880 1499328 1509360 1525248 1532160 1578240 1584828 1587145 1609984 1632492 1639890 1665920 1668240 1723186 1749216 1760920 1779456 1811232 1813880 1841280 1874160 1904574 1906560 1981035 1999104 2012480 2040615 2113104 2176656 2186520 2209536 2224320 2264040 2332288 2414976 2455040 2498880 2539432 2542080 2584779 2623824 2641380 2669184 2720820 2761920 2817472 2856861 2902208 2915360 2965760 2998656 3018720 3064320 3156480 3169656 3174290 3219968 3264984 3279780 3331840 3336480 3446372 3498432 3521840 3558912 3622464 3627760 3682560 3748320 3809148 3813120 3962070 3998208 4024960 4081230 4226208 4307965 4353312 4373040 4419072 4448640 4528080 4664576 4761435 4829952 4997760 5078864 5169558 5247648 5282760 5338368 5441640 5523840 5634944 5713722 5804416 5830720 5931520 5997312 6031151 6037440 6339312 6348580 6529968 6559560 6663680 6672960 6892744 6996864 7043680 7244928 7255520 7365120 7496640 7618296 7626240 7754337 7924140 8049920 8162460 8452416 8615930 8706624 8746080 8897280 9056160 9329152 9522870 9659904 9995520 10157728 10339116 10495296 10565520 10676736 10883280 11047680 11269888 11427444 11608832 11661440 11994624 12062302 12074880 12678624 12697160 12923895 13059936 13119120 13345920 13785488 13993728 14087360 14284305 14489856 14511040 14993280 15236592 15508674 15848280 16099840 16324920 16904832 17231860 17413248 17492160 17794560 18093453 18112320 19045740 19991040 20315456 20678232 20990592 21131040 21766560 22095360 22539776 22854888 23217664 23322880 24124604 24149760 25357248 25394320 25847790 26119872 26238240 26691840 27570976 27987456 28174720 28568610 28979712 29022080 29986560 30155755 30473184 31017348 31696560 32649840 33809664 34463720 34826496 34984320 36186906 36224640 38091480 38771685 40630912 41356464 41981184 42262080 43533120 45709776 46645760 48249208 48299520 50714496 50788640 51695580 52239744 52476480 53383680 54280359 55141952 56349440 57137220 58044160 59973120 60311510 60946368 62034696 63393120 65299680 67619328 68927440 69652992 69968640 72373812 72449280 76182960 77543370 81261824 82712928 83962368 84524160 87066240 90467265 91419552 96498416 101428992 101577280 103391160 104479488 104952960 108560718 110283904 112698880 114274440 116088320 120623020 121892736 124069392 126786240 130599360 137854880 139937280 144747624 144898560 152365920 155086740 162523648 165425856 169048320 174132480 180934530 182839104 192996832 202857984 203154560 206782320 208958976 209905920 217121436 220567808 228548880 241246040 243785472 248138784 253572480 261198720 271401795 275709760 289495248 304731840 310173480 330851712 338096640 348264960 361869060 365678208 385993664 406309120 413564640 419811840 434242872 441135616 457097760 482492080 487570944 496277568 507144960 522397440 542803590 551419520 578990496 609463680 620346960 661703424 723738120 731356416 771987328 812618240 827129280 868485744 914195520 964984160 992555136 1014289920 1044794880 1085607180 1102839040 1157980992 1218927360 1240693920 1323406848 1447476240 1462712832 1543974656 1654258560 1736971488 1828391040 1929968320 1985110272 2171214360 2205678080 2315961984 2437854720 2481387840 2894952480 3087949312 3308517120 3473942976 3656782080 3859936640 3970220544 4342428720 4631923968 4962775680 5789904960 6617034240 6947885952 7313564160 7719873280 8684857440 9263847936 9925551360 11579809920 13895771904 15439746560 17369714880 19851102720 23159619840 27791543808 34739429760 46319239680 69478859520 138957719040
- Sum of all divisors σ(n): 584934704640
- Sum of proper divisors (its aliquot sum) s(n): 445976985600
- 138957719040 is an abundant number, because the sum of its proper divisors (445976985600) is greater than itself. Its abundance is 307019266560
Bases of 138957719040
- Binary: 100000010110101000011010000110000000002
- Hexadecimal: 0x205A868600
- Base-36: 1RU3U680
Squares and roots of 138957719040
- 138957719040 squared (1389577190402) is 19309247680799578521600
- 138957719040 cubed (1389577190403) is 2683169014102319434754911371264000
-
The
square root of 138957719040 is 372770.3301498123 -
The
cube root of 138957719040 is 5179.5761871075
Scales and comparisons
How big is 138957719040?- 138,957,719,040 seconds is equal to 4,418 years, 22 weeks, 22 hours, 24 minutes.
-
To count from 1 to 138,957,719,040 would take you about eight thousand, eight hundred thirty-six 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 138957719040 cubic inches would be around 431.6 feet tall.
Recreational maths with 138957719040
- 138957719040 backwards is 040917759831
- The number of decimal digits it has is: 12
- The sum of 138957719040's digits is 54
- More coming soon!
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The information we have on file for 138957719040 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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