138034407420
138,034,407,420 is an even composite number composed of eight prime numbers multiplied together.
138034407420 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138034407420:
22 × 33 × 5 × 7 × 13 × 312 × 37 × 79
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 31 × 31 × 37 × 79)See below for interesting mathematical facts about the number 138034407420 from the Numbermatics database.
Names of 138034407420
- Cardinal: 138034407420 can be written as One hundred thirty-eight billion, thirty-four million, four hundred seven thousand, four hundred twenty.
Scientific notation
- Scientific notation: 1.3803440742 × 1011
Factors of 138034407420
Divisors of 138034407420
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 27 28 30 31 35 36 37 39 42 45 52 54 60 62 63 65 70 74 78 79 84 90 91 93 105 108 111 117 124 126 130 135 140 148 155 156 158 180 182 185 186 189 195 210 217 222 234 237 252 259 260 270 273 279 310 315 316 333 351 364 370 372 378 390 395 403 420 434 444 455 465 468 474 481 518 540 546 553 555 558 585 620 630 651 666 702 711 740 756 777 780 790 806 819 837 868 910 930 945 948 961 962 999 1027 1036 1085 1092 1106 1110 1116 1147 1170 1185 1209 1260 1295 1302 1332 1365 1395 1404 1422 1443 1554 1580 1612 1638 1659 1665 1674 1755 1820 1860 1890 1922 1924 1953 1998 2015 2054 2133 2170 2212 2220 2294 2331 2340 2370 2405 2418 2449 2457 2590 2604 2730 2765 2790 2821 2844 2883 2886 2923 3081 3108 3255 3276 3318 3330 3348 3367 3441 3510 3555 3627 3780 3844 3885 3906 3996 4030 4095 4108 4185 4266 4329 4340 4588 4662 4740 4805 4810 4836 4898 4914 4977 4995 5135 5180 5460 5530 5580 5642 5735 5766 5772 5846 5859 6045 6162 6510 6636 6660 6727 6734 6882 6993 7020 7110 7189 7215 7254 7347 7770 7812 8029 8060 8190 8295 8370 8463 8532 8649 8658 8769 9243 9324 9610 9620 9765 9796 9828 9954 9990 10101 10270 10323 10665 10881 11060 11284 11470 11532 11655 11692 11718 12090 12245 12285 12324 12493 12987 13020 13454 13468 13764 13986 14105 14220 14378 14415 14430 14508 14615 14694 14911 14931 15405 15540 16058 16380 16590 16740 16835 16926 17143 17205 17298 17316 17538 18135 18486 19220 19530 19908 19980 20181 20202 20461 20540 20646 21330 21567 21645 21762 22041 22940 23310 23436 24087 24180 24490 24570 24885 24986 25389 25947 25974 26307 26908 27729 27972 28210 28756 28830 28860 29230 29295 29388 29822 29862 30303 30810 30969 31837 32116 33180 33635 33670 33852 34286 34410 34596 34965 35076 35557 35945 36270 36735 36972 37479 37999 39060 40145 40362 40404 40922 41292 42315 42660 43134 43245 43290 43524 43845 44082 44733 46215 46620 48174 48980 49140 49770 49972 50505 50778 51429 51615 51894 51948 52614 54405 55458 56420 57660 58460 58590 59644 59724 60543 60606 61383 61620 61938 62465 63674 64701 64935 66123 67270 67340 68572 68820 69930 71114 71890 72261 72540 73470 74555 74655 74958 75919 75998 76167 78921 80290 80724 81844 84630 85715 86268 86490 86580 87451 87690 88164 89466 90613 90909 92430 95511 96348 99540 100905 101010 101556 102305 102858 103230 103788 104377 105228 106671 107835 108810 110205 110916 112437 113997 117180 120435 121086 121212 122766 123876 124930 126945 127348 129402 129735 129870 131535 132246 134199 134540 138645 139860 142228 143780 144522 146940 149110 149310 149916 151515 151838 151996 152334 154287 154845 157842 159185 160580 169260 171430 172980 174902 175380 177785 178932 181226 181629 181818 184149 184860 187395 189995 191022 194103 201810 202020 204610 205716 206460 208754 213342 215670 216783 217620 220410 222859 223665 224874 227757 227994 240870 242172 245532 248899 249860 253890 257145 258804 259470 259740 262353 263070 264492 265993 268398 271839 277290 286533 289044 298220 298620 302715 303030 303676 304668 306915 308574 309690 313131 315684 318370 320013 323505 330615 337311 341991 342860 349804 355570 361305 362452 363258 363636 368298 374790 379595 379990 380835 382044 388206 394605 402597 403620 409220 417508 426684 431340 433566 437255 440820 445718 447330 449748 453065 454545 455514 455988 462241 462861 477555 481740 497798 507780 514290 518940 521885 524706 526140 531433 531986 533355 536796 543678 552447 554580 562185 569985 573066 605430 606060 613830 617148 619380 626262 634291 636740 640026 647010 661230 668577 670995 674622 683271 683982 711140 722610 726516 736596 746697 749580 759190 759980 761670 771435 776412 787059 789210 797979 805194 815517 859599 867132 874510 891436 894660 906130 908145 909090 911028 920745 924482 925722 939393 955110 960039 970515 986947 995596 1025973 1028580 1043770 1049412 1062866 1063972 1066710 1083915 1087356 1104894 1114295 1124370 1138785 1139970 1146132 1177969 1210860 1227660 1244495 1252524 1268582 1280052 1294020 1311765 1322460 1329965 1337154 1341990 1349244 1359195 1366542 1367964 1386723 1432665 1445220 1493394 1518380 1523340 1542870 1565655 1574118 1578420 1594299 1595958 1600065 1610388 1631034 1686555 1709955 1719198 1749020 1812260 1816290 1818180 1841490 1848964 1851444 1878786 1902873 1910220 1920078 1941030 1973894 2005731 2012985 2049813 2051946 2087540 2125732 2133420 2167830 2209788 2228590 2240091 2248740 2277570 2279940 2311205 2314305 2355938 2361177 2393937 2446551 2488990 2537164 2623530 2657165 2659930 2674308 2683980 2718390 2733084 2762235 2773446 2809003 2818179 2865330 2960841 2986788 3085740 3131310 3148236 3171455 3188598 3191916 3200130 3235687 3262068 3342885 3373110 3416355 3419910 3438396 3533907 3632580 3682980 3733485 3757572 3805746 3840156 3882060 3935295 3947788 3989895 4011462 4025970 4077585 4099626 4103892 4160169 4297995 4335660 4457180 4480182 4555140 4622410 4628610 4696965 4711876 4722354 4782897 4787874 4800195 4893102 4934735 4977980 5129865 5247060 5314330 5319860 5436780 5524470 5546892 5618006 5636358 5708619 5730660 5889845 5921682 6017193 6262620 6342910 6377196 6400260 6471374 6685770 6720273 6746220 6832710 6839820 6908629 6933615 7067814 7181811 7466970 7611492 7870590 7971495 7979790 8022924 8051940 8155170 8199252 8245783 8320338 8427009 8595990 8882523 8960364 9244820 9257220 9393930 9444708 9514365 9565794 9575748 9600390 9707061 9786204 9869470 10028655 10249065 10259730 10601721 10628660 11048940 11200455 11236012 11272716 11417238 11779690 11805885 11843364 11969685 12034386 12232755 12480507 12685820 12942748 13371540 13440546 13665420 13817258 13867230 14045015 14090895 14135628 14348691 14363622 14804205 14933940 15741180 15942990 15959580 16178435 16310340 16491566 16640676 16854018 17125857 17191980 17669535 17765046 18787860 19028730 19131588 19200780 19414122 19663021 19738940 20057310 20498130 20519460 20725887 20800845 21203442 22400910 22834476 23559380 23611770 23914485 23939370 24068772 24465510 24737349 24961014 25281027 26647569 26881092 27634516 27734460 28090030 28181790 28543095 28697382 28727244 29121183 29608410 30085965 31805163 31885980 32356870 32983132 33601365 33708036 34251714 34543145 35339070 35530092 35909055 36517039 38057460 38828244 39326042 40114620 40996260 41228915 41451774 41601690 42135045 42406884 44412615 44801820 47223540 47828970 47878740 48535305 48931020 49474698 49922028 50562054 53008605 53295138 56180060 56363580 57086190 57394764 58242366 58989063 59216820 60171930 62177661 62402535 63610326 64713740 67202730 68503428 69086290 70678140 71743455 71818110 73034078 74212047 75843081 78652084 82457830 82903548 83203380 84270090 85629285 87363549 88825230 95657940 97070610 98315105 98949396 101124108 103629435 106017210 106590276 109551117 114172380 116484732 117978126 120343860 123686745 124355322 124805070 126405135 127220652 133237845 134405460 138172580 143486910 143636220 145605915 146068156 148424094 151686162 159025815 164915660 168540180 171258570 174727098 176967189 177650460 182585195 186532983 194141220 196630210 207258870 212034420 219102234 222636141 235956252 247373490 248710644 249610140 252810270 255619273 266475690 286973820 291211830 294945315 296848188 303372324 310888305 318051630 328653351 342517140 349454196 353934378 365170390 371060235 373065966 379215405 393260420 414517740 436817745 438204468 445272282 494746980 505620540 511238546 530901567 532951380 547755585 582423660 589890630 621776610 636103260 657306702 707868756 730340780 742120470 746131932 758430810 766857819 873635490 884835945 890544564 932664915 985960053 1022477092 1061803134 1095511170 1113180705 1179781260 1243553220 1278096365 1314613404 1484240940 1516861620 1533715638 1643266755 1747270980 1769671890 1865329830 1971920106 2123606268 2191022340 2226361410 2300573457 2556192730 2654507835 3067431276 3286533510 3539343780 3730659660 3834289095 3943840212 4452722820 4601146914 4929800265 5112385460 5309015670 6573067020 6901720371 7668578190 9202293828 9859600530 10618031340 11502867285 13803440742 15337156380 19719201060 23005734570 27606881484 34508601855 46011469140 69017203710 138034407420
- Sum of all divisors σ(n): 568002355200
- Sum of proper divisors (its aliquot sum) s(n): 429967947780
- 138034407420 is an abundant number, because the sum of its proper divisors (429967947780) is greater than itself. Its abundance is 291933540360
Bases of 138034407420
- Binary: 100000001000110111110111100111111111002
- Hexadecimal: 0x20237DE7FC
- Base-36: 1REU4EF0
Squares and roots of 138034407420
- 138034407420 squared (1380344074202) is 19053497631790551056400
- 138034407420 cubed (1380344074203) is 2630038254882582068625428998488000
-
The
square root of 138034407420 is 371529.8203643955 -
The
cube root of 138034407420 is 5168.0786985059
Scales and comparisons
How big is 138034407420?- 138,034,407,420 seconds is equal to 4,389 years, 3 weeks, 3 days, 10 hours, 57 minutes.
-
To count from 1 to 138,034,407,420 would take you about eight thousand, seven hundred seventy-eight 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 138034407420 cubic inches would be around 430.7 feet tall.
Recreational maths with 138034407420
- 138034407420 backwards is 024704430831
- 138034407420 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138034407420's digits is 36
- More coming soon!
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The information we have on file for 138034407420 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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