138185132933120
138,185,132,933,120 is an even composite number composed of six prime numbers multiplied together.
138185132933120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty-eight divisors.
Prime factorization of 138185132933120:
216 × 5 × 7 × 133 × 17 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 13 × 17 × 1613)See below for interesting mathematical facts about the number 138185132933120 from the Numbermatics database.
Names of 138185132933120
- Cardinal: 138185132933120 can be written as One hundred thirty-eight trillion, one hundred eighty-five billion, one hundred thirty-two million, nine hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3818513293312 × 1014
Factors of 138185132933120
Divisors of 138185132933120
- Number of divisors d(n): 1088
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 32 34 35 40 52 56 64 65 68 70 80 85 91 104 112 119 128 130 136 140 160 169 170 182 208 221 224 238 256 260 272 280 320 338 340 364 416 442 448 455 476 512 520 544 560 595 640 676 680 728 832 845 884 896 910 952 1024 1040 1088 1105 1120 1183 1190 1280 1352 1360 1456 1547 1613 1664 1690 1768 1792 1820 1904 2048 2080 2176 2197 2210 2240 2366 2380 2560 2704 2720 2873 2912 3094 3226 3328 3380 3536 3584 3640 3808 4096 4160 4352 4394 4420 4480 4732 4760 5120 5408 5440 5746 5824 5915 6188 6452 6656 6760 7072 7168 7280 7616 7735 8065 8192 8320 8704 8788 8840 8960 9464 9520 10240 10816 10880 10985 11291 11492 11648 11830 12376 12904 13312 13520 14144 14336 14365 14560 15232 15379 15470 16130 16384 16640 17408 17576 17680 17920 18928 19040 20111 20480 20969 21632 21760 21970 22582 22984 23296 23660 24752 25808 26624 27040 27421 28288 28672 28730 29120 30464 30758 30940 32260 32768 33280 34816 35152 35360 35840 37349 37856 38080 40222 40960 41938 43264 43520 43940 45164 45968 46592 47320 49504 51616 53248 54080 54842 56455 56576 57344 57460 58240 60928 61516 61880 64520 65536 66560 69632 70304 70720 71680 74698 75712 76160 76895 80444 81920 83876 86528 87040 87880 90328 91936 93184 94640 99008 100555 103232 104845 106496 108160 109684 112910 113152 114688 114920 116480 121856 123032 123760 129040 133120 137105 139264 140608 141440 143360 146783 149396 151424 152320 153790 160888 163840 167752 173056 174080 175760 180656 183872 186368 186745 189280 191947 198016 201110 206464 209690 212992 216320 219368 225820 226304 229376 229840 232960 243712 246064 247520 258080 261443 266240 272597 274210 278528 281216 282880 286720 293566 298792 302848 304640 307580 321776 327680 335504 346112 348160 351520 356473 361312 367744 372736 373490 378560 383894 396032 402220 412928 419380 425984 432640 438736 451640 452608 458752 459680 465920 487424 492128 495040 516160 522886 532480 545194 548420 557056 562432 565760 573440 587132 597584 605696 609280 615160 643552 671008 692224 696320 703040 712946 722624 733915 735488 745472 746980 757120 767788 792064 804440 825856 838760 851968 865280 877472 903280 905216 919360 931840 959735 974848 984256 990080 1032320 1045772 1064960 1090388 1096840 1114112 1124864 1131520 1146880 1174264 1195168 1211392 1218560 1230320 1287104 1307215 1342016 1362985 1384448 1392640 1406080 1425892 1445248 1467830 1470976 1490944 1493960 1514240 1535576 1584128 1608880 1651712 1677520 1730560 1754944 1782365 1806560 1810432 1838720 1863680 1908179 1919470 1949696 1968512 1980160 2064640 2091544 2129920 2180776 2193680 2249728 2263040 2293760 2348528 2390336 2422784 2437120 2460640 2495311 2574208 2614430 2684032 2725970 2768896 2785280 2812160 2851784 2890496 2935660 2941952 2981888 2987920 3028480 3071152 3168256 3217760 3303424 3355040 3461120 3509888 3543761 3564730 3613120 3620864 3677440 3727360 3816358 3838940 3899392 3937024 3960320 4129280 4183088 4259840 4361552 4387360 4499456 4526080 4634149 4697056 4780672 4845568 4874240 4921280 4990622 5148416 5228860 5368064 5451940 5537792 5570560 5624320 5703568 5780992 5871320 5883904 5963776 5975840 6056960 6142304 6336512 6435520 6606848 6710080 6922240 7019776 7087522 7129460 7226240 7241728 7354880 7454720 7632716 7677880 7798784 7874048 7920640 8258560 8366176 8723104 8774720 8998912 9052160 9268298 9394112 9540895 9561344 9691136 9748480 9842560 9981244 10296832 10457720 10736128 10903880 11075584 11248640 11407136 11561984 11742640 11767808 11951680 12113920 12284608 12476555 12673024 12871040 13213696 13420160 13844480 14039552 14175044 14258920 14452480 14483456 14709760 14909440 15265432 15355760 15748096 15841280 16517120 16732352 17446208 17549440 17718805 17997824 18104320 18536596 18788224 19081790 19122688 19382272 19496960 19685120 19962488 20593664 20915440 21472256 21807760 22497280 22814272 23123968 23170745 23485280 23535616 23903360 24227840 24569216 24806327 24953110 25346048 25742080 26427392 26840320 27688960 28079104 28350088 28517840 28904960 29419520 29818880 30530864 30711520 31496192 31682560 32439043 33034240 33464704 34892416 35098880 35437610 35995648 36208640 37073192 37576448 38163580 38245376 38764544 38993920 39370240 39924976 41187328 41830880 42944512 43615520 44994560 45628544 46247936 46341490 46970560 47071232 47806720 48455680 49138432 49612654 49906220 50692096 51484160 52854784 53680640 55377920 56158208 56700176 57035680 57809920 58839040 60243937 61061728 61423040 62992384 63365120 64878086 66068480 66929408 69784832 70197760 70875220 71991296 72417280 74146384 75152896 76327160 76490752 77529088 78740480 79849952 82374656 83661760 85889024 87231040 89989120 91257088 92495872 92682980 93941120 94142464 95613440 96911360 98276864 99225308 99812440 101384192 102968320 105709568 107361280 112316416 113400352 114071360 115619840 117678080 120487874 122123456 122846080 124031635 125984768 126730240 129756172 132136960 133858816 139569664 140395520 141750440 143982592 148292768 150305792 152654320 152981504 157480960 159699904 162195215 164749312 167323520 171778048 174462080 179978240 182514176 184991744 185365960 187882240 188284928 191226880 193822720 196553728 198450616 199624880 205936640 214722560 224632832 226800704 228142720 231239680 235356160 240975748 244246912 245692160 248063270 251969536 253460480 259512344 264273920 267717632 279139328 280791040 283500880 296585536 300611584 301219685 305308640 305963008 314961920 319399808 324390430 329498624 334647040 343556096 348924160 359956480 365028352 369983488 370731920 375764480 382453760 387645440 393107456 396901232 399249760 411873280 421707559 429445120 449265664 453601408 456285440 462479360 470712320 481951496 488493824 491384320 496126540 503939072 506920960 519024688 528547840 535435264 558278656 561582080 567001760 593171072 601223168 602439370 610617280 611926016 629923840 638799616 648780860 658997248 669294080 687112192 697848320 719912960 730056704 739966976 741463840 751528960 764907520 786214912 793802464 798499520 823746560 843415118 858890240 898531328 907202816 912570880 924958720 941424640 963902992 976987648 982768640 992253080 1007878144 1038049376 1070870528 1116557312 1123164160 1134003520 1186342144 1202446336 1204878740 1221234560 1223852032 1259847680 1277599232 1297561720 1317994496 1338588160 1374224384 1395696640 1460113408 1482927680 1503057920 1529815040 1572429824 1587604928 1596999040 1647493120 1686830236 1717780480 1797062656 1814405632 1825141760 1849917440 1927805984 1953975296 1965537280 1984506160 2076098752 2108537795 2141741056 2233114624 2246328320 2268007040 2372684288 2404892672 2409757480 2442469120 2447704064 2519695360 2555198464 2595123440 2677176320 2791393280 2920226816 2965855360 3006115840 3059630080 3144859648 3175209856 3193998080 3294986240 3373660472 3435560960 3628811264 3650283520 3699834880 3855611968 3907950592 3931074560 3969012320 4152197504 4217075590 4283482112 4466229248 4492656640 4536014080 4745368576 4809785344 4819514960 4884938240 5039390720 5110396928 5190246880 5354352640 5582786560 5840453632 5931710720 6012231680 6119260160 6289719296 6350419712 6387996160 6589972480 6747320944 6871121920 7257622528 7300567040 7711223936 7815901184 7862149120 7938024640 8304395008 8434151180 8566964224 8932458496 8985313280 9072028160 9490737152 9619570688 9639029920 9769876480 10220793856 10380493760 10708705280 11165573120 11680907264 11863421440 12024463360 12238520320 12579438592 12700839424 12775992320 13494641888 14515245056 14601134080 15422447872 15631802368 15724298240 15876049280 16608790016 16868302360 17133928448 17864916992 18144056320 18981474304 19278059840 19539752960 20441587712 20760987520 21417410560 22331146240 23361814528 23726842880 24048926720 25401678848 25551984640 26989283776 29030490112 29202268160 30844895744 31263604736 31448596480 31752098560 33217580032 33736604720 36288112640 37962948608 38556119680 39079505920 40883175424 41521975040 42834821120 44662292480 47453685760 48097853440 50803357696 51103969280 53978567552 58060980224 58404536320 61689791488 62527209472 62897192960 63504197120 66435160064 67473209440 72576225280 75925897216 77112239360 78159011840 81766350848 83043950080 85669642240 89324584960 94907371520 101606715392 102207938560 107957135104 116121960448 116809072640 123379582976 125054418944 127008394240 132870320128 134946418880 145152450560 151851794432 154224478720 156318023680 163532701696 166087900160 189814743040 203213430784 204415877120 215914270208 232243920896 246759165952 254016788480 265740640256 269892837760 290304901120 303703588864 308448957440 312636047360 332175800320 379629486080 406426861568 408831754240 431828540416 493518331904 508033576960 531481280512 539785675520 580609802240 616897914880 625272094720 664351600640 759258972160 812853723136 817663508480 863657080832 987036663808 1016067153920 1062962561024 1079571351040 1161219604480 1233795829760 1328703201280 1518517944320 1625707446272 1727314161664 1974073327616 2032134307840 2125925122048 2159142702080 2467591659520 2657406402560 3454628323328 3948146655232 4064268615680 4318285404160 4935183319040 5314812805120 6909256646656 8128537231360 8636570808320 9870366638080 10629625610240 13818513293312 17273141616640 19740733276160 27637026586624 34546283233280 69092566466560 138185132933120
- Sum of all divisors σ(n): 435011604814080
- Sum of proper divisors (its aliquot sum) s(n): 296826471880960
- 138185132933120 is an abundant number, because the sum of its proper divisors (296826471880960) is greater than itself. Its abundance is 158641338947840
Bases of 138185132933120
- Binary: 111110110101101101110111100001100000000000000002
- Hexadecimal: 0x7DADBBC30000
- Base-36: 1CZDDGBAWW
Squares and roots of 138185132933120
- 138185132933120 squared (1381851329331202) is 19095130963744045614392934400
- 138185132933120 cubed (1381851329331203) is 2638663210600306762327752583633675747328000
-
The
square root of 138185132933120 is 11755217.2643945633 -
The
cube root of 138185132933120 is 51699.5909430327
Scales and comparisons
How big is 138185132933120?- 138,185,132,933,120 seconds is equal to 4,393,859 years, 41 weeks, 1 day, 12 hours, 5 minutes, 20 seconds.
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To count from 1 to 138,185,132,933,120 would take you about ten million, nine hundred eighty-four thousand, six hundred forty-nine 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 138185132933120 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138185132933120
- 138185132933120 backwards is 021339231581831
- The number of decimal digits it has is: 15
- The sum of 138185132933120's digits is 50
- More coming soon!
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The information we have on file for 138185132933120 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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