138000457728

Names of 138000457728

• Cardinal: 138000457728 can be written as One hundred thirty-eight billion, four hundred fifty-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38000457728 × 10¹¹

Factors of 138000457728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 136

Divisors of 138000457728

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 49 51 54 56 63 64 68 72 84 96 98 102 107 108 112 119 126 128 136 144 147 153 168 189 192 196 204 214 216 224 238 252 256 272 288 294 306 321 336 343 357 378 384 392 408 428 432 441 448 459 476 504 512 544 576 588 612 642 672 686 714 749 756 768 784 816 833 856 864 882 896 918 952 963 1008 1024 1029 1071 1088 1152 1176 1224 1284 1323 1344 1372 1428 1498 1512 1536 1568 1632 1666 1712 1728 1764 1792 1819 1836 1904 1926 2016 2048 2058 2142 2176 2247 2304 2352 2448 2499 2568 2646 2688 2744 2856 2889 2996 3024 3072 3087 3136 3213 3264 3332 3424 3456 3528 3584 3638 3672 3808 3852 4032 4096 4116 4284 4352 4494 4608 4704 4896 4998 5136 5243 5292 5376 5457 5488 5712 5778 5831 5992 6048 6144 6174 6272 6426 6528 6664 6741 6848 6912 7056 7168 7276 7344 7497 7616 7704 8064 8192 8232 8568 8704 8988 9216 9261 9408 9792 9996 10272 10486 10584 10752 10914 10976 11424 11556 11662 11984 12096 12288 12348 12544 12733 12852 13056 13328 13482 13696 13824 14112 14336 14552 14688 14994 15232 15408 15729 16128 16371 16464 17136 17408 17493 17976 18432 18522 18816 19584 19992 20223 20544 20972 21168 21504 21828 21952 22491 22848 23112 23324 23968 24192 24576 24696 25088 25466 25704 26112 26656 26964 27392 27648 28224 28672 29104 29376 29988 30464 30816 31458 32256 32742 32928 34272 34816 34986 35952 36701 36864 37044 37632 38199 39168 39984 40446 41088 41944 42336 43008 43656 43904 44982 45696 46224 46648 47187 47936 48384 49113 49392 50176 50932 51408 52224 52479 53312 53928 54784 55296 56448 57344 58208 58752 59976 60928 61632 62916 64512 65484 65856 68544 69632 69972 71904 73402 73728 74088 75264 76398 78336 79968 80892 82176 83888 84672 86016 87312 87808 89131 89964 91392 92448 93296 94374 95872 96768 98226 98784 100352 101864 102816 104448 104958 106624 107856 109568 110103 110592 112896 114597 116416 117504 119952 121856 123264 125832 129024 130968 131712 137088 139264 139944 141561 143808 146804 148176 150528 152796 156672 157437 159936 161784 164352 167776 169344 172032 174624 175616 178262 179928 182784 184896 186592 188748 191744 193536 196452 197568 200704 203728 205632 208896 209916 213248 215712 219136 220206 221184 225792 229194 232832 235008 239904 243712 246528 251664 258048 261936 263424 267393 274176 279888 283122 287616 293608 296352 301056 305592 313344 314874 319872 323568 328704 330309 335552 338688 343791 349248 351232 356524 359856 365568 369792 373184 377496 383488 387072 392904 395136 401408 407456 411264 417792 419832 426496 431424 438272 440412 451584 458388 465664 470016 479808 487424 493056 503328 516096 523872 526848 534786 548352 559776 566244 575232 587216 592704 602112 611184 623917 626688 629748 639744 647136 657408 660618 671104 677376 687582 698496 702464 713048 719712 731136 739584 746368 754992 766976 774144 785808 790272 802179 814912 822528 839664 852992 862848 876544 880824 903168 916776 931328 940032 959616 974848 986112 990927 1006656 1047744 1053696 1069572 1096704 1119552 1132488 1150464 1174432 1185408 1204224 1222368 1247834 1253376 1259496 1279488 1294272 1314816 1321236 1342208 1354752 1375164 1396992 1404928 1426096 1439424 1462272 1479168 1492736 1509984 1533952 1548288 1571616 1580544 1604358 1629824 1645056 1679328 1705984 1725696 1761648 1806336 1833552 1862656 1871751 1880064 1919232 1972224 1981854 2013312 2095488 2107392 2139144 2193408 2239104 2264976 2300928 2348864 2370816 2406537 2444736 2495668 2518992 2558976 2588544 2629632 2642472 2684416 2709504 2750328 2793984 2809856 2852192 2878848 2924544 2958336 2985472 3019968 3067904 3143232 3161088 3208716 3259648 3290112 3358656 3411968 3451392 3523296 3612672 3667104 3725312 3743502 3760128 3838464 3944448 3963708 4026624 4190976 4214784 4278288 4386816 4478208 4529952 4601856 4697728 4741632 4813074 4889472 4991336 5037984 5117952 5177088 5284944 5368832 5419008 5500656 5587968 5615253 5704384 5757696 5916672 5970944 6039936 6135808 6286464 6322176 6417432 6519296 6580224 6717312 6823936 6902784 7046592 7334208 7450624 7487004 7676928 7888896 7927416 8053248 8381952 8429568 8556576 8773632 8956416 9059904 9203712 9395456 9483264 9626148 9778944 9982672 10075968 10235904 10354176 10569888 10737664 10838016 11001312 11175936 11230506 11408768 11515392 11833344 11941888 12079872 12572928 12644352 12834864 13038592 13160448 13434624 13805568 14093184 14668416 14901248 14974008 15353856 15854832 16106496 16763904 16845759 17113152 17912832 18119808 18407424 18790912 18966528 19252296 19557888 19965344 20151936 20471808 20708352 21139776 21475328 22002624 22351872 22461012 22817536 23030784 23666688 23883776 24159744 25145856 25288704 25669728 26077184 26320896 26869248 27611136 28186368 29336832 29948016 30707712 31709664 32212992 33527808 33691518 34226304 35825664 36239616 37581824 37933056 38504592 39115776 39930688 40303872 41416704 42279552 42950656 44005248 44703744 44922024 45635072 46061568 47767552 48319488 50291712 51339456 52154368 53738496 55222272 56372736 58673664 59896032 61415424 63419328 64425984 67055616 67383036 68452608 71651328 72479232 75163648 75866112 77009184 78231552 79861376 80607744 82833408 84559104 88010496 89844048 91270144 92123136 96638976 100583424 102678912 104308736 107476992 112745472 117347328 119792064 126838656 128851968 134111232 134766072 136905216 143302656 144958464 150327296 154018368 156463104 159722752 161215488 165666816 169118208 176020992 179688096 182540288 184246272 193277952 201166848 205357824 214953984 225490944 234694656 239584128 253677312 269532144 273810432 289916928 300654592 308036736 312926208 319445504 322430976 338236416 352041984 359376192 365080576 386555904 402333696 410715648 429907968 450981888 469389312 479168256 507354624 539064288 547620864 579833856 616073472 638891008 644861952 676472832 704083968 718752384 730161152 821431296 901963776 938778624 958336512 1014709248 1078128576 1095241728 1159667712 1232146944 1277782016 1289723904 1352945664 1408167936 1437504768 1642862592 1916673024 2029418496 2156257152 2190483456 2464293888 2555564032 2705891328 2816335872 2875009536 3285725184 3833346048 4058836992 4312514304 4928587776 5111128064 5750019072 6571450368 7666692096 8117673984 8625028608 9857175552 11500038144 15333384192 17250057216 19714351104 23000076288 34500114432 46000152576 69000228864 138000457728
• Sum of all divisors σ(n): 509576832000
• Sum of proper divisors (its aliquot sum) s(n): 371576374272
• 138000457728 is an abundant number, because the sum of its proper divisors (371576374272) is greater than itself. Its abundance is 233575916544

Bases of 138000457728

• Binary: 10000000100001011101111110000000000000₂
• Hexadecimal: 0x202177E000
• Base-36: 1RE9WQO0

Squares and roots of 138000457728

• 138000457728 squared (138000457728²) is 19044126333137514921984
• 138000457728 cubed (138000457728³) is 2628098151002835273602222209892352
• The square root of 138000457728 is 371484.1285008015
• The cube root of 138000457728 is 5167.6549658301

Scales and comparisons

• 138,000,457,728 seconds is equal to 4,387 years, 51 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 138,000,457,728 would take you about eight thousand, seven hundred seventy-five 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 138000457728 cubic inches would be around 430.6 feet tall.

Recreational maths with 138000457728

• 138000457728 backwards is 827754000831
• The number of decimal digits it has is: 12
• The sum of 138000457728's digits is 45
• More coming soon!