137149888512

Names of 137149888512

• Cardinal: 137149888512 can be written as One hundred thirty-seven billion, one hundred forty-nine million, eight hundred eighty-eight thousand, five hundred twelve.

Scientific notation

• Scientific notation: 1.37149888512 × 10¹¹

Factors of 137149888512

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 290

Divisors of 137149888512

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 32 39 41 42 48 52 56 62 64 78 82 84 91 93 96 104 112 123 124 128 156 164 168 182 186 192 193 208 217 224 246 248 256 273 287 312 328 336 364 372 384 386 403 416 434 448 492 496 512 533 546 574 579 624 651 656 672 728 744 768 772 806 832 861 868 896 984 992 1024 1066 1092 1148 1158 1209 1248 1271 1302 1312 1344 1351 1456 1488 1536 1544 1599 1612 1664 1722 1736 1792 1968 1984 2048 2132 2184 2296 2316 2418 2496 2509 2542 2604 2624 2688 2702 2821 2912 2976 3072 3088 3198 3224 3328 3444 3472 3584 3731 3813 3936 3968 4053 4264 4368 4592 4632 4836 4992 5018 5084 5208 5248 5376 5404 5642 5824 5952 5983 6144 6176 6396 6448 6656 6888 6944 7168 7462 7527 7626 7872 7913 7936 8106 8463 8528 8736 8897 9184 9264 9672 9984 10036 10168 10416 10496 10752 10808 11193 11284 11648 11904 11966 12352 12792 12896 13312 13776 13888 14336 14924 15054 15252 15744 15826 15872 16212 16523 16926 17056 17472 17563 17794 17949 18368 18528 19344 19968 20072 20336 20832 20992 21504 21616 22386 22568 23296 23739 23808 23932 24704 25584 25792 26624 26691 27552 27776 29848 30108 30504 31488 31652 31744 32424 33046 33852 34112 34944 35126 35588 35898 36736 37056 38688 39936 40144 40672 41664 41881 41984 43008 43232 44772 45136 46592 47478 47616 47864 49408 49569 51168 51584 52689 53382 55104 55391 55552 59696 60216 61008 62976 63304 63488 64848 66092 67704 68224 69888 70252 71176 71796 73472 74112 77376 77779 79872 80288 81344 83328 83762 83968 86464 89544 90272 93184 94956 95232 95728 98816 99138 102336 102869 103168 105378 106764 110208 110782 111104 115661 119392 120432 122016 125643 125952 126608 129696 132184 135408 136448 139776 140504 142352 143592 146944 148224 154752 155558 160576 162688 166173 166656 167524 172928 179088 180544 186368 189912 190464 191456 197632 198276 204672 205738 206336 210756 213528 220416 221564 222208 231322 233337 238784 240864 244032 245303 251286 251904 253216 259392 264368 270816 272896 279552 281008 284704 287184 293888 296448 308607 309504 311116 321152 325376 332346 333312 335048 345856 346983 358176 361088 379824 382912 395264 396552 409344 411476 412672 421512 427056 440832 443128 444416 462644 466674 477568 481728 488064 490606 502572 506432 518784 528736 541632 544453 545792 559104 562016 569408 574368 587776 592896 617214 619008 622232 642304 650752 664692 666624 670096 691712 693966 716352 720083 722176 735909 759648 765824 793104 818688 822952 825344 843024 854112 881664 886256 925288 933348 955136 963456 976128 981212 1005144 1012864 1037568 1057472 1083264 1088906 1091584 1124032 1138816 1148736 1185792 1234428 1238016 1244464 1284608 1301504 1329384 1333248 1340192 1383424 1387932 1432704 1440166 1444352 1471818 1519296 1531648 1586208 1633359 1637376 1645904 1686048 1708224 1717121 1763328 1772512 1850576 1866696 1910272 1926912 1952256 1962424 2010288 2025728 2075136 2114944 2160249 2166528 2177812 2248064 2277632 2297472 2468856 2476032 2488928 2569216 2603008 2658768 2680384 2766848 2775864 2865408 2880332 2888704 2943636 3038592 3063296 3172416 3188939 3266718 3274752 3291808 3372096 3416448 3434242 3545024 3701152 3733392 3820544 3853824 3904512 3924848 4020576 4051456 4150272 4229888 4320498 4333056 4355624 4496128 4555264 4594944 4937712 4977856 5138432 5151363 5317536 5360768 5551728 5730816 5760664 5777408 5887272 6077184 6126592 6344832 6377878 6533436 6583616 6744192 6832896 6868484 7090048 7402304 7466784 7641088 7707648 7809024 7849696 8041152 8102912 8300544 8459776 8640996 8666112 8711248 8992256 9110528 9189888 9566817 9875424 9955712 10302726 10635072 10721536 11103456 11461632 11521328 11774544 12154368 12253184 12689664 12755756 13066872 13167232 13488384 13665792 13736968 14180096 14804608 14933568 15415296 15699392 16082304 16205824 16919552 17281992 17332224 17422496 17984512 18221056 18379776 19133634 19750848 19911424 20605452 21270144 21443072 22206912 22322573 22923264 23042656 23549088 24308736 25379328 25511512 26133744 26334464 26976768 27331584 27473936 28360192 29609216 29867136 31398784 32164608 33839104 34563984 34844992 35969024 36759552 38267268 39501696 39822848 41210904 42540288 42886144 44413824 44645146 46085312 47098176 48617472 50758656 51023024 52267488 52668928 53953536 54663168 54947872 56720384 59218432 59734272 62797568 64329216 66967719 69127968 69689984 76534536 79003392 79645696 82421808 85080576 85772288 88827648 89290292 92170624 94196352 101517312 102046048 104534976 105337856 107907072 109895744 113440768 118436864 119468544 125595136 128658432 133935438 138255936 139379968 153069072 158006784 159291392 164843616 170161152 177655296 178580584 184341248 188392704 204092096 209069952 210675712 219791488 236873728 238937088 251190272 257316864 267870876 276511872 278759936 306138144 316013568 329687232 340322304 355310592 357161168 368682496 376785408 408184192 418139904 439582976 477874176 502380544 535741752 553023744 557519872 612276288 632027136 659374464 710621184 714322336 737364992 753570816 816368384 836279808 879165952 1071483504 1106047488 1115039744 1224552576 1318748928 1428644672 1474729984 1507141632 1632736768 1672559616 1758331904 2142967008 2212094976 2449105152 2637497856 2857289344 3265473536 3345119232 3516663808 4285934016 4424189952 4898210304 5274995712 5714578688 6530947072 8571868032 9796420608 10549991424 11429157376 17143736064 19592841216 22858314752 34287472128 45716629504 68574944256 137149888512
• Sum of all divisors σ(n): 478335836160
• Sum of proper divisors (its aliquot sum) s(n): 341185947648
• 137149888512 is an abundant number, because the sum of its proper divisors (341185947648) is greater than itself. Its abundance is 204036059136

Bases of 137149888512

• Binary: 1111111101110110001010011100000000000₂
• Hexadecimal: 0x1FEEC53800
• Base-36: 1R07I39C

Squares and roots of 137149888512

• 137149888512 squared (137149888512²) is 18810091918854029574144
• 137149888512 cubed (137149888512³) is 2579802009571302306895800437833728
• The square root of 137149888512 is 370337.5332207093
• The cube root of 137149888512 is 5157.0160886375

Scales and comparisons

• 137,149,888,512 seconds is equal to 4,360 years, 48 weeks, 6 days, 23 hours, 15 minutes, 12 seconds.
• To count from 1 to 137,149,888,512 would take you about eight thousand, seven hundred twenty-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 137149888512 cubic inches would be around 429.8 feet tall.

Recreational maths with 137149888512

• 137149888512 backwards is 215888941731
• The number of decimal digits it has is: 12
• The sum of 137149888512's digits is 57
• More coming soon!