138384346464

Names of 138384346464

• Cardinal: 138384346464 can be written as One hundred thirty-eight billion, three hundred eighty-four million, three hundred forty-six thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.38384346464 × 10¹¹

Factors of 138384346464

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 110

Divisors of 138384346464

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 29 32 36 37 38 39 42 48 49 52 56 57 58 63 72 74 76 78 84 87 91 96 98 104 111 112 114 116 117 126 133 144 147 148 152 156 168 171 174 182 196 203 208 222 224 228 232 234 247 252 259 261 266 273 288 294 296 304 312 333 336 342 348 364 377 392 399 406 416 441 444 456 464 468 481 494 504 518 522 532 546 551 588 592 608 609 624 637 666 672 684 696 703 728 741 754 777 784 798 812 819 882 888 912 928 931 936 962 988 1008 1036 1044 1064 1073 1092 1102 1131 1176 1184 1197 1218 1248 1274 1332 1368 1369 1392 1406 1421 1443 1456 1482 1508 1554 1568 1596 1624 1638 1653 1729 1764 1776 1813 1824 1827 1862 1872 1911 1924 1976 2016 2072 2088 2109 2128 2146 2184 2204 2223 2262 2331 2352 2394 2436 2548 2639 2664 2736 2738 2784 2793 2812 2842 2886 2912 2964 3016 3108 3192 3219 3248 3276 3306 3367 3393 3458 3528 3552 3626 3654 3724 3744 3822 3848 3857 3952 4107 4144 4176 4218 4256 4263 4292 4329 4368 4408 4446 4524 4662 4704 4788 4872 4921 4959 5096 5187 5278 5328 5439 5472 5476 5586 5624 5684 5733 5772 5928 6032 6216 6327 6384 6438 6496 6552 6612 6734 6786 6916 7056 7163 7252 7308 7448 7511 7644 7696 7714 7904 7917 8214 8288 8352 8379 8436 8526 8584 8658 8736 8816 8892 9048 9139 9324 9576 9583 9657 9744 9842 9918 10101 10192 10374 10556 10656 10878 10952 11172 11248 11368 11466 11544 11571 11856 12064 12103 12321 12432 12654 12768 12789 12876 13104 13224 13468 13572 13832 13949 14112 14326 14504 14616 14763 14896 15022 15288 15392 15428 15561 15834 16317 16428 16758 16872 17052 17168 17316 17632 17784 17797 18096 18278 18473 18648 19152 19166 19314 19488 19684 19836 20202 20384 20387 20748 21112 21489 21756 21904 22344 22496 22533 22736 22932 23088 23142 23569 23712 23751 24206 24642 24864 25308 25578 25752 26011 26208 26448 26936 26999 27144 27417 27664 27898 28652 28749 29008 29232 29526 29792 30044 30303 30576 30856 31122 31668 32634 32856 33516 33744 34104 34336 34447 34632 34713 35568 35594 36192 36309 36556 36946 37296 38304 38332 38628 39368 39672 39701 40404 40774 41496 41847 42224 42978 43512 43808 44289 44688 45066 45472 45864 46176 46284 47138 47502 48412 49284 50141 50616 51156 51504 52022 52577 52896 53391 53872 53998 54288 54834 55328 55419 55796 57304 57498 58016 58464 59052 60088 60606 61152 61161 61712 62244 63336 63973 64467 65268 65712 67032 67081 67488 67599 68208 68894 69264 69426 70707 71136 71188 72618 73112 73892 74592 76664 77256 78033 78736 79344 79402 80808 80997 81548 82251 82992 83694 84448 85956 86247 87024 88578 89376 90132 91728 92568 94276 95004 96824 97643 98568 100282 101232 102312 103008 103341 104044 105154 106782 107744 107996 108576 108927 109668 110838 111592 114608 114996 118104 119103 120176 121212 122322 123424 124488 124579 125541 126672 127946 128934 130536 131424 134064 134162 135198 136416 137788 138528 138852 141414 142376 142709 145236 146224 147784 150423 153328 154512 156066 157472 157731 158688 158804 160173 161616 161994 163096 164502 165984 166257 167388 171912 172494 174048 177156 180264 182077 183456 183483 185136 188552 190008 191919 193648 195286 197136 200564 201243 202464 204624 206682 208088 210308 212121 213564 215992 217854 219336 221676 223184 229216 229992 234099 236208 238206 240352 242424 242991 244644 248976 249158 251082 253344 255892 257868 261072 265031 268128 268324 270396 275576 277704 277907 282828 284752 285418 290472 292448 292929 295568 300846 306656 309024 310023 312132 315462 317608 320346 323232 323988 326192 329004 332514 334776 338143 343824 344988 350987 354312 357309 360528 364154 366966 370272 373737 377104 380016 383838 387296 390572 394272 401128 402486 409248 413364 416176 420616 424242 427128 428127 431984 435708 438672 443352 446368 447811 451269 459984 468198 472416 473193 476412 484848 485982 489288 497952 498316 502164 511784 515736 516113 522144 530062 536648 540792 546231 551152 555408 555814 565656 569504 570836 575757 580944 585858 591136 601692 603729 620046 624264 630924 635216 640692 647976 652384 658008 665028 669552 676286 683501 687648 689976 701974 708624 714618 721056 728308 733932 747474 754208 754319 760032 767676 781144 795093 802256 804972 826728 832352 833721 841232 848484 854256 856254 863968 871416 872053 877344 878787 886704 895622 902538 919968 936396 946386 952824 969696 971964 978576 996632 998963 1004328 1014429 1023568 1031472 1032226 1052961 1060124 1073296 1081584 1092462 1102304 1110816 1111628 1121211 1131312 1141672 1151514 1161888 1171716 1203384 1207458 1240092 1248528 1261848 1270432 1274539 1281384 1284381 1295952 1316016 1330056 1339104 1343433 1352572 1367002 1379952 1403948 1417248 1429236 1456616 1467864 1494948 1508638 1535352 1548339 1562288 1590186 1604512 1609944 1638693 1653456 1667442 1682464 1696968 1708512 1712508 1742832 1744106 1757574 1773408 1791244 1805076 1855217 1872792 1892772 1905648 1943928 1945349 1957152 1993264 1997926 2008656 2028858 2047136 2050503 2062944 2064452 2105922 2120248 2146592 2163168 2184924 2223256 2242422 2262624 2262957 2283344 2303028 2343432 2367001 2385279 2406768 2414916 2480184 2497056 2501163 2523696 2549078 2562768 2568762 2591904 2616159 2632032 2660112 2686866 2705144 2734004 2759904 2807896 2858472 2913232 2935728 2989896 2996889 3017276 3043287 3070704 3096678 3124576 3158883 3180372 3219888 3277386 3306912 3334884 3393936 3425016 3485664 3488212 3515148 3582488 3610152 3612791 3710434 3745584 3785544 3811296 3823617 3887856 3890698 3986528 3995852 4017312 4030299 4057716 4101006 4128904 4211844 4240496 4369848 4446512 4484844 4525914 4566688 4606056 4645017 4686864 4734002 4770558 4813536 4829832 4960368 5002326 5047392 5098156 5125536 5137524 5232318 5280233 5320224 5373732 5410288 5468008 5565651 5615792 5716944 5826464 5836047 5871456 5979792 5993778 6034552 6086574 6141408 6151509 6193356 6317766 6360744 6439776 6554772 6669768 6787872 6788871 6850032 6976424 7030296 7101003 7164976 7220304 7225582 7420868 7491168 7571088 7647234 7775712 7781396 7848477 7991704 8060598 8115432 8202012 8257808 8423688 8480992 8739696 8893024 8969688 8990667 9051828 9212112 9290034 9373728 9468004 9541116 9659664 9806147 9920736 10004652 10196312 10275048 10464636 10560466 10747464 10820576 10838373 10936016 11131302 11231584 11433888 11470851 11672094 11959584 11987556 12069104 12173148 12303018 12386712 12635532 12721488 12986519 13109544 13339536 13577742 13700064 13952848 14060592 14202006 14329952 14440608 14451164 14841736 15142176 15294468 15562792 15696954 15840699 15983408 16121196 16230864 16404024 16515616 16569007 16696953 16847376 17479392 17508141 17939376 17981334 18103656 18424224 18580068 18936008 19082232 19319328 19612294 20009304 20392624 20550096 20929272 21120932 21303009 21494928 21676746 21872032 22262604 22941702 23344188 23975112 24138208 24346296 24606036 24773424 25271064 25289537 25442976 25973038 26219088 26679072 27155484 27905696 28121184 28404012 28902328 29418441 29683472 30588936 31125584 31393908 31681398 31966816 32242392 32461728 32515119 32808048 33138014 33393906 33694752 35016282 35878752 35962668 36207312 36961631 37160136 37872016 38164464 38959557 39224588 40018608 40785248 41100192 41858544 42241864 42606018 42989856 43353492 44525208 45883404 46688376 47522097 47950224 48692592 49212072 49546848 49707021 50542128 50579074 51946076 52438176 54310968 56808024 57804656 58836882 59366944 61177872 62251168 62787816 63362796 64484784 65030238 65616096 66276028 66787812 68643029 70032564 71925336 72414624 73923262 74320272 75744032 75868611 76328928 77919114 78449176 80037216 83717088 84483728 85212036 86706984 88255323 89050416 91766808 93376752 95044194 95900448 97385184 98424144 99414042 101084256 101158148 103892152 108621936 110884893 113616048 115609312 116878671 117673764 122355744 125575632 126725592 128969568 130060476 132552056 133575624 137286058 140065128 143850672 147846524 148640544 149121063 151737222 155838228 156898352 168967456 170424072 173413968 176510646 178100832 183533616 186753504 190088388 196848288 198828084 202316296 205929087 207784304 217243872 221769786 227232096 227605833 233757342 235347528 251151264 253451184 260120952 265104112 267151248 274572116 280130256 287701344 295693048 298242126 303474444 311676456 313796704 332654679 340848144 346827936 353021292 367067232 380176776 397656168 404632592 411858174 415568608 443539572 455211666 467514684 470695056 480501203 506902368 520241904 530208224 534302496 549144232 560260512 591386096 596484252 606948888 617787261 623352912 665309358 681696288 706042584 760353552 795312336 809265184 823716348 887079144 910423332 935029368 941390112 961002406 1040483808 1098288464 1182772192 1192968504 1213897776 1235574522 1246705824 1330618716 1412085168 1441503609 1520707104 1590624672 1647432696 1774158288 1820846664 1870058736 1922004812 2196576928 2385937008 2427795552 2471149044 2661237432 2824170336 2883007218 3294865392 3548316576 3641693328 3740117472 3844009624 4324510827 4771874016 4942298088 5322474864 5766014436 6589730784 7283386656 7688019248 8649021654 9884596176 10644949728 11532028872 15376038496 17298043308 19769192352 23064057744 34596086616 46128115488 69192173232 138384346464
• Sum of all divisors σ(n): 551737040400
• Sum of proper divisors (its aliquot sum) s(n): 413352693936
• 138384346464 is an abundant number, because the sum of its proper divisors (413352693936) is greater than itself. Its abundance is 274968347472

Bases of 138384346464

• Binary: 10000000111000010110011000110101100000₂
• Hexadecimal: 0x2038598D60
• Base-36: 1RKMGT40

Squares and roots of 138384346464

• 138384346464 squared (138384346464²) is 19150227346268389303296
• 138384346464 cubed (138384346464³) is 2650091695950372082878545241145344
• The square root of 138384346464 is 372000.4656771279
• The cube root of 138384346464 is 5172.4423119299

Scales and comparisons

• 138,384,346,464 seconds is equal to 4,400 years, 10 weeks, 16 hours, 14 minutes, 24 seconds.
• To count from 1 to 138,384,346,464 would take you about eight thousand, eight hundred 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 138384346464 cubic inches would be around 431 feet tall.

Recreational maths with 138384346464

• 138384346464 backwards is 464643483831
• The number of decimal digits it has is: 12
• The sum of 138384346464's digits is 54
• More coming soon!