137394968256

Names of 137394968256

• Cardinal: 137394968256 can be written as One hundred thirty-seven billion, three hundred ninety-four million, nine hundred sixty-eight thousand, two hundred fifty-six.

Scientific notation

• Scientific notation: 1.37394968256 × 10¹¹

Factors of 137394968256

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 115

Divisors of 137394968256

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 32 36 39 42 46 48 49 52 54 56 63 64 67 69 72 78 81 84 91 92 96 98 104 108 112 117 126 134 138 144 147 156 161 162 168 182 184 189 192 196 201 207 208 216 224 234 243 252 268 273 276 288 294 299 312 322 324 336 351 364 368 378 392 402 414 416 432 441 448 468 469 483 486 504 536 546 552 567 576 588 598 603 621 624 637 644 648 672 702 728 729 736 756 784 804 819 828 832 864 871 882 897 936 938 966 972 1008 1053 1072 1092 1104 1127 1134 1176 1196 1206 1242 1248 1274 1288 1296 1323 1344 1404 1407 1449 1456 1458 1472 1512 1541 1568 1608 1638 1656 1701 1728 1742 1764 1794 1809 1863 1872 1876 1911 1932 1944 2016 2093 2106 2144 2184 2187 2208 2254 2268 2352 2392 2412 2457 2484 2496 2548 2576 2592 2613 2646 2691 2808 2814 2898 2912 2916 3024 3082 3136 3159 3216 3276 3283 3312 3381 3402 3484 3528 3588 3618 3726 3744 3752 3822 3864 3888 3969 4032 4186 4212 4221 4288 4347 4368 4374 4416 4508 4536 4623 4704 4784 4824 4914 4968 5096 5103 5152 5184 5226 5292 5382 5427 5589 5616 5628 5733 5796 5824 5832 6048 6097 6164 6279 6318 6432 6552 6566 6624 6762 6804 6968 7056 7176 7236 7371 7452 7488 7504 7644 7728 7776 7839 7938 8073 8372 8424 8442 8694 8736 8748 9016 9072 9246 9408 9477 9568 9648 9828 9849 9936 10143 10192 10206 10304 10452 10584 10764 10787 10854 11178 11232 11256 11466 11592 11664 11907 12096 12194 12328 12558 12636 12663 12864 13041 13104 13132 13248 13524 13608 13869 13936 14112 14352 14472 14651 14742 14904 15008 15288 15309 15456 15552 15678 15876 16146 16281 16744 16767 16848 16884 17199 17388 17472 17496 18032 18144 18291 18492 18837 18954 19136 19296 19656 19698 19872 20033 20286 20384 20412 20904 21168 21528 21574 21708 22113 22356 22464 22512 22932 23184 23328 23517 23814 24219 24388 24656 25116 25272 25326 26082 26208 26264 27048 27216 27738 27872 28224 28431 28704 28944 29302 29484 29547 29808 30016 30429 30576 30618 30912 31356 31752 32292 32361 32562 33488 33534 33696 33768 34398 34776 34992 35721 36064 36288 36582 36984 37674 37908 37989 38592 39123 39312 39396 39744 40066 40572 40768 40824 41607 41808 42336 42679 43056 43148 43416 43953 44226 44712 45024 45864 46368 46656 47034 47628 48438 48776 48843 49312 50232 50301 50544 50652 51597 52164 52416 52528 54096 54432 54873 55476 55744 56511 56862 57408 57888 58604 58968 59094 59616 60099 60858 61152 61236 62712 63504 64584 64722 65124 66339 66976 67068 67392 67536 68796 69552 69984 70551 71442 72128 72657 73164 73968 75348 75509 75816 75978 78246 78624 78792 80132 81144 81648 83214 83616 84672 85358 86112 86296 86832 87906 88452 88641 89424 90048 91287 91728 92736 94068 95256 96876 97083 97552 97686 98624 100464 100602 101088 101304 103194 104328 105056 107163 108192 108864 109746 110952 113022 113724 113967 115776 117208 117369 117936 118188 119232 120198 121716 122304 122472 124821 125424 127008 128037 129168 129444 130248 131859 132678 133952 134136 135072 137592 139104 139968 140231 141102 142884 145314 146328 146529 147936 150696 151018 151632 151956 154791 156492 157248 157584 160264 162288 163296 164619 166428 167232 169533 170716 172224 172592 173664 175812 176904 177282 178848 180297 182574 183456 188136 190512 193752 194166 195104 195372 199017 200928 201204 202176 202608 206388 208656 210112 211653 214326 216384 217971 219492 221904 226044 226527 227448 227934 234416 234738 235872 236376 240396 243432 244944 249642 250848 254016 256074 258336 258888 260496 263718 265356 265923 268272 270144 273861 275184 278208 280462 282204 285768 290628 291249 292656 293058 295872 301392 302036 303264 303912 309582 312984 315168 320528 324576 326592 329238 332856 339066 341432 341901 345184 347328 351624 352107 353808 354564 357696 360594 365148 366912 374463 376272 381024 384111 387504 388332 390208 390744 395577 398034 401856 402408 405216 412776 417312 420693 423306 428652 435942 438984 443808 452088 453054 454896 455868 464373 468832 469476 471744 472752 480792 486864 489888 493857 499284 501696 508599 512148 516672 517776 520992 527436 530712 531846 536544 540891 547722 550368 560924 564408 571536 581256 582498 585312 586116 602784 604072 606528 607824 619164 625968 630336 634959 641056 649152 653913 658476 665712 678132 679581 682864 683802 690368 703248 704214 707616 709128 721188 730296 748926 752544 762048 768222 775008 776664 781488 791154 796068 797769 804816 810432 821583 825552 834624 841386 846612 857304 871884 873747 877968 887616 904176 906108 909792 911736 928746 937664 938952 945504 961584 973728 979776 981617 987714 998568 1017198 1024296 1025703 1035552 1041984 1054872 1061424 1063692 1073088 1081782 1095444 1100736 1121848 1123389 1128816 1143072 1152333 1162512 1164996 1170624 1172232 1186731 1205568 1208144 1215648 1238328 1251936 1262079 1269918 1282112 1307826 1316952 1331424 1356264 1359162 1365728 1367604 1393119 1406496 1408428 1415232 1418256 1442376 1460592 1481571 1497852 1505088 1525797 1536444 1550016 1553328 1562976 1582308 1592136 1595538 1609632 1622673 1643166 1651104 1682772 1693224 1714608 1743768 1747494 1755936 1808352 1812216 1819584 1823472 1857492 1877904 1891008 1904877 1923168 1947456 1963234 1975428 1997136 2034396 2038743 2048592 2051406 2071104 2109744 2122848 2127384 2163564 2190888 2243696 2246778 2257632 2286144 2304666 2325024 2329992 2344464 2373462 2393307 2416288 2431296 2464749 2476656 2503872 2524158 2539836 2615652 2621241 2633904 2662848 2712528 2718324 2731456 2735208 2786238 2812992 2816856 2836512 2884752 2921184 2944851 2963142 2995704 3051594 3072888 3106656 3125952 3164616 3184272 3191076 3219264 3245346 3286332 3302208 3365544 3370167 3386448 3429216 3456999 3487536 3494988 3511872 3560193 3616704 3624432 3646944 3714984 3755808 3786237 3809754 3846336 3926468 3950856 3994272 4068792 4077486 4097184 4102812 4219488 4245696 4254768 4327128 4381776 4444713 4487392 4493556 4515264 4577391 4609332 4650048 4659984 4688928 4746924 4786614 4832576 4868019 4929498 4953312 5048316 5079672 5231304 5242482 5267808 5425056 5436648 5470416 5572476 5633712 5673024 5769504 5842368 5889702 5926284 5991408 6103188 6116229 6145776 6213312 6329232 6368544 6382152 6490692 6572664 6731088 6740334 6772896 6858432 6913998 6975072 6989976 7120386 7179921 7248864 7293888 7429968 7511616 7572474 7619508 7852936 7863723 7901712 7988544 8137584 8154972 8194368 8205624 8438976 8509536 8654256 8763552 8834553 8889426 8974784 8987112 9154782 9218664 9319968 9377856 9493848 9573228 9736038 9858996 9906624 10096632 10159344 10370997 10462608 10484964 10535616 10680579 10850112 10873296 10940832 11144952 11267424 11358711 11539008 11779404 11852568 11982816 12206376 12232458 12291552 12658464 12737088 12764304 12981384 13145328 13334139 13462176 13480668 13545792 13827996 13950144 13979952 14240772 14359842 14497728 14604057 14859936 15144948 15239016 15705872 15727446 15803424 16275168 16309944 16411248 17019072 17308512 17527104 17669106 17778852 17974224 18309564 18348687 18437328 18639936 18987696 19146456 19472076 19717992 20193264 20318688 20741994 20925216 20969928 21361158 21746592 21881664 22289904 22534848 22717422 23558808 23591169 23705136 23965632 24412752 24464916 24583104 25316928 25528608 25962768 26290656 26503659 26668278 26924352 26961336 27655992 27959904 28481544 28719684 29208114 29719872 30289896 30478032 31112991 31411744 31454892 31606848 32041737 32550336 32619888 32822496 34076133 34617024 35338212 35557704 35948448 36619128 36697374 36874656 37975392 38292912 38944152 39435984 40386528 40637376 41483988 41850432 41939856 42722316 43493184 43812171 44579808 45434844 47117616 47182338 47410272 48825504 48929832 51057216 51925536 52581312 53007318 53336556 53922672 55046061 55311984 55919808 56963088 57439368 58416228 60579792 60956064 62225982 62823488 62909784 64083474 65239776 65644992 68152266 70676424 71115408 71896896 73238256 73394748 73749312 75950784 76585824 77888304 78871968 79510977 80773056 82967976 83879712 85444632 87624342 89159616 90869688 93338973 94235232 94364676 94820544 97651008 97859664 102228399 103851072 106014636 106673112 107845344 110092122 110623968 113926176 114878736 116832456 121159584 121912128 124451964 125819568 128166948 130479552 136304532 141352848 142230816 146476512 146789496 153171648 155776608 157743936 159021954 165138183 165935952 167759424 170889264 175248684 181739376 186677946 188470464 188729352 195719328 204456798 212029272 213346224 215690688 220184244 221247936 227852352 229757472 233664912 238532931 242319168 248903928 251639136 256333896 272609064 282705696 284461632 292953024 293578992 306685197 311553216 318043908 330276366 331871904 341778528 350497368 363478752 373355892 377458704 391438656 408913596 424058544 426692448 440368488 459514944 467329824 477065862 497807856 503278272 512667792 545218128 565411392 587157984 613370394 636087816 660552732 663743808 683557056 700994736 715598793 726957504 746711784 754917408 817827192 848117088 853384896 880736976 934659648 954131724 995615712 1025335584 1090436256 1174315968 1226740788 1272175632 1321105464 1401989472 1431197586 1493423568 1509834816 1635654384 1696234176 1761473952 1908263448 1991231424 2050671168 2146796379 2180872512 2453481576 2544351264 2642210928 2803978944 2862395172 2986847136 3271308768 3522947904 3816526896 4293592758 4906963152 5088702528 5284421856 5724790344 5973694272 6542617536 7633053792 8587185516 9813926304 10568843712 11449580688 15266107584 17174371032 19627852608 22899161376 34348742064 45798322752 68697484128 137394968256
• Sum of all divisors σ(n): 542501084160
• Sum of proper divisors (its aliquot sum) s(n): 405106115904
• 137394968256 is an abundant number, because the sum of its proper divisors (405106115904) is greater than itself. Its abundance is 267711147648

Bases of 137394968256

• Binary: 1111111111101011000001101011011000000₂
• Hexadecimal: 0x1FFD60D6C0
• Base-36: 1R49F000

Squares and roots of 137394968256

• 137394968256 squared (137394968256²) is 18877377302067247681536
• 137394968256 cubed (137394968256³) is 2593656655174064418381928317321216
• The square root of 137394968256 is 370668.2725240993
• The cube root of 137394968256 is 5160.0860342605

Scales and comparisons

• 137,394,968,256 seconds is equal to 4,368 years, 38 weeks, 1 day, 12 hours, 57 minutes, 36 seconds.
• To count from 1 to 137,394,968,256 would take you about eight thousand, seven hundred thirty-seven 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 137394968256 cubic inches would be around 430 feet tall.

Recreational maths with 137394968256

• 137394968256 backwards is 652869493731
• 137394968256 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137394968256's digits is 63
• More coming soon!