138394613760
138,394,613,760 is an even composite number composed of seven prime numbers multiplied together.
138394613760 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138394613760:
211 × 3 × 5 × 132 × 19 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 19 × 23 × 61)See below for interesting mathematical facts about the number 138394613760 from the Numbermatics database.
Names of 138394613760
- Cardinal: 138394613760 can be written as One hundred thirty-eight billion, three hundred ninety-four million, six hundred thirteen thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3839461376 × 1011
Factors of 138394613760
Divisors of 138394613760
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 23 24 26 30 32 38 39 40 46 48 52 57 60 61 64 65 69 76 78 80 92 95 96 104 114 115 120 122 128 130 138 152 156 160 169 183 184 190 192 195 208 228 230 240 244 247 256 260 276 285 299 304 305 312 320 338 345 366 368 380 384 390 416 437 456 460 480 488 494 507 512 520 552 570 598 608 610 624 640 676 690 732 736 741 760 768 780 793 832 845 874 897 912 915 920 960 976 988 1014 1024 1040 1104 1140 1159 1196 1216 1220 1235 1248 1280 1311 1352 1380 1403 1464 1472 1482 1495 1520 1536 1560 1586 1664 1690 1748 1794 1824 1830 1840 1920 1952 1976 2028 2048 2080 2185 2208 2280 2318 2379 2392 2432 2440 2470 2496 2535 2560 2622 2704 2760 2806 2928 2944 2964 2990 3040 3072 3120 3172 3211 3328 3380 3477 3496 3588 3648 3660 3680 3705 3840 3887 3904 3952 3965 4056 4160 4209 4370 4416 4485 4560 4636 4758 4784 4864 4880 4940 4992 5070 5120 5244 5408 5520 5612 5681 5795 5856 5888 5928 5980 6080 6144 6240 6344 6422 6555 6656 6760 6954 6992 7015 7176 7296 7320 7360 7410 7680 7774 7808 7904 7930 8112 8320 8418 8740 8832 8970 9120 9272 9516 9568 9633 9728 9760 9880 9984 10140 10240 10309 10488 10816 11040 11224 11362 11590 11661 11712 11776 11856 11895 11960 12160 12480 12688 12844 13110 13312 13520 13908 13984 14030 14352 14592 14640 14720 14820 15067 15360 15548 15616 15808 15860 16055 16224 16640 16836 17043 17385 17480 17664 17940 18239 18240 18544 19032 19136 19266 19435 19456 19520 19760 19968 20280 20618 20976 21045 21632 22080 22448 22724 23180 23322 23424 23552 23712 23790 23920 24320 24960 25376 25688 26220 26624 26657 27040 27816 27968 28060 28405 28704 29184 29280 29440 29640 30134 30720 30927 31096 31232 31616 31720 32110 32448 33280 33672 34086 34770 34960 35328 35880 36478 36480 37088 38064 38272 38532 38870 38912 39040 39520 39936 40560 41236 41952 42090 43264 44160 44896 45201 45448 46360 46644 46848 47104 47424 47580 47840 48165 48640 49920 50752 51376 51545 52440 53314 54080 54717 55632 55936 56120 56810 57408 58305 58368 58560 58880 59280 60268 61854 62192 62464 63232 63440 64220 64896 66560 67344 68172 69540 69920 70656 71760 72956 72960 73853 74176 75335 76128 76544 77064 77740 78080 79040 79872 79971 81120 82472 83904 84180 85215 86528 88320 89792 90402 90896 91195 92720 93288 93696 94848 95160 95680 96330 97280 99840 101504 102752 103090 104880 106628 108160 109434 111264 111872 112240 113620 114816 116610 116736 117120 117760 118560 120536 123708 124384 124928 126464 126880 128440 129792 133120 133285 134688 136344 139080 139840 141312 143520 145912 145920 147706 148352 150670 152256 153088 154128 154635 155480 156160 158080 159942 162240 164944 167808 168360 170430 173056 176640 179584 180804 181792 182390 185440 186576 187392 189696 190320 191360 192660 194560 195871 199680 203008 205504 206180 209760 213256 216320 218868 221559 222528 223744 224480 226005 227240 229632 233220 234240 235520 237107 237120 241072 247416 248768 252928 253760 256880 259584 266570 269376 272688 273585 278160 279680 287040 291824 291840 295412 296704 301340 304512 306176 308256 309270 310960 312320 316160 319884 324480 329888 335616 336720 340860 346112 346541 353280 359168 361608 363584 364780 369265 370880 373152 374784 379392 380640 382720 385320 391742 399360 399855 406016 411008 412360 419520 426512 432640 437736 443118 445056 447488 448960 452010 454480 459264 466440 468480 474214 474240 482144 494832 497536 505856 507520 513760 519168 533140 538752 545376 547170 556320 559360 574080 583648 583680 587613 590824 593408 602680 609024 612352 616512 618540 621920 624640 632320 639768 648960 659776 671232 673440 681720 693082 706560 711321 718336 723216 727168 729560 738530 741760 746304 758784 761280 765440 770640 783484 799710 812032 822016 824720 839040 853024 865280 875472 886236 890112 894976 897920 904020 908960 918528 932880 936960 948428 948480 964288 979355 989664 995072 1015040 1027520 1038336 1039623 1066280 1077504 1090752 1094340 1107795 1112640 1118720 1148160 1167296 1175226 1181648 1185535 1186816 1205360 1218048 1233024 1237080 1243840 1264640 1279536 1297920 1319552 1342464 1346880 1363440 1386164 1422642 1436672 1446432 1454336 1459120 1477060 1483520 1492608 1517568 1522560 1530880 1541280 1566968 1599420 1624064 1644032 1649440 1678080 1706048 1730560 1732705 1750944 1772472 1780224 1795840 1808040 1817920 1837056 1865760 1873920 1896856 1896960 1928576 1958710 1979328 1990144 2030080 2055040 2079246 2132560 2155008 2181504 2188680 2215590 2225280 2237440 2296320 2334592 2350452 2363296 2371070 2373632 2410720 2436096 2466048 2474160 2487680 2529280 2559072 2595840 2639104 2684928 2693760 2726880 2772328 2845284 2873344 2892864 2908672 2918240 2938065 2954120 2967040 2985216 3045120 3061760 3082560 3133936 3198840 3288064 3298880 3356160 3412096 3465410 3501888 3544944 3556605 3560448 3591680 3616080 3635840 3731520 3793712 3793920 3857152 3917420 3958656 3980288 4060160 4110080 4158492 4265120 4310016 4363008 4377360 4431180 4450560 4474880 4505033 4592640 4669184 4700904 4726592 4742140 4821440 4872192 4932096 4948320 4975360 5118144 5191680 5198115 5278208 5387520 5453760 5544656 5690568 5785728 5817344 5836480 5876130 5908240 5934080 5970432 6090240 6165120 6267872 6397680 6576128 6597760 6712320 6824192 6930820 7003776 7089888 7113210 7120896 7183360 7232160 7271680 7463040 7587424 7587840 7714304 7834840 7917312 7960576 8120320 8220160 8316984 8530240 8620032 8726016 8754720 8862360 8901120 9010066 9185280 9338368 9401808 9453184 9484280 9642880 9864192 9896640 9950720 10236288 10396230 10556416 10775040 10907520 11089312 11381136 11571456 11634688 11672960 11752260 11816480 11868160 11940864 12180480 12330240 12535744 12795360 13195520 13424640 13515099 13648384 13861640 14007552 14179776 14226420 14366720 14464320 14543360 14926080 15174848 15428608 15669680 15834624 16440320 16633968 17060480 17452032 17509440 17724720 17802240 18020132 18676736 18803616 18906368 18968560 19285760 19728384 19793280 19901440 20472576 20792460 21112832 21550080 21815040 22178624 22525165 22762272 23142912 23345920 23504520 23632960 23881728 24360960 24660480 25071488 25590720 26391040 27030198 27296768 27723280 28015104 28359552 28452840 28928640 29086720 29852160 30349696 30857216 31339360 31669248 32880640 33267936 34120960 34904064 35018880 35449440 35604480 36040264 37353472 37607232 37812736 37937120 38571520 39586560 39802880 40945152 41584920 43100160 43630080 44357248 45050330 45524544 46285824 46691840 47009040 47265920 49320960 50142976 51181440 52782080 54060396 54593536 55446560 56030208 56719104 56905680 57857280 58173440 59704320 60699392 62678720 63338496 66535872 67575495 68241920 70037760 70898880 72080528 75214464 75625472 75874240 77143040 79173120 81890304 83169840 87260160 88714496 90100660 91049088 92571648 93383680 94018080 94531840 98641920 100285952 102362880 105564160 108120792 110893120 112060416 113438208 113811360 115714560 119408640 121398784 125357440 133071744 135150990 136483840 140075520 141797760 144161056 150428928 151250944 151748480 154286080 158346240 163780608 166339680 174520320 177428992 180201320 182098176 186767360 188036160 189063680 200571904 204725760 216241584 221786240 226876416 227622720 231429120 242797568 250714880 266143488 270301980 272967680 280151040 283595520 288322112 300857856 303496960 316692480 332679360 354857984 360402640 364196352 376072320 378127360 401143808 409451520 432483168 443572480 453752832 455245440 462858240 485595136 501429760 532286976 540603960 560302080 567191040 576644224 601715712 606993920 665358720 709715968 720805280 728392704 752144640 756254720 818903040 864966336 887144960 910490880 1002859520 1064573952 1081207920 1134382080 1153288448 1203431424 1213987840 1330717440 1441610560 1456785408 1504289280 1729932672 1774289920 1820981760 2005719040 2129147904 2162415840 2268764160 2306576896 2427975680 2661434880 2883221120 3008578560 3459865344 3548579840 3641963520 4324831680 4613153792 5322869760 5766442240 6017157120 6919730688 7283927040 8649663360 9226307584 10645739520 11532884480 13839461376 17299326720 23065768960 27678922752 34598653440 46131537920 69197306880 138394613760
- Sum of all divisors σ(n): 535240742400
- Sum of proper divisors (its aliquot sum) s(n): 396846128640
- 138394613760 is an abundant number, because the sum of its proper divisors (396846128640) is greater than itself. Its abundance is 258451514880
Bases of 138394613760
- Binary: 100000001110001111011000111000000000002
- Hexadecimal: 0x2038F63800
- Base-36: 1RKSKVEO
Squares and roots of 138394613760
- 138394613760 squared (1383946137602) is 19153069117779581337600
- 138394613760 cubed (1383946137603) is 2650681602873689108031656165376000
-
The
square root of 138394613760 is 372014.2655329229 -
The
cube root of 138394613760 is 5172.5702302583
Scales and comparisons
How big is 138394613760?- 138,394,613,760 seconds is equal to 4,400 years, 27 weeks, 12 hours, 16 minutes.
-
To count from 1 to 138,394,613,760 would take you about eight thousand, eight hundred one 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 138394613760 cubic inches would be around 431 feet tall.
Recreational maths with 138394613760
- 138394613760 backwards is 067316493831
- The number of decimal digits it has is: 12
- The sum of 138394613760's digits is 51
- More coming soon!
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The information we have on file for 138394613760 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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