137258914464

Names of 137258914464

• Cardinal: 137258914464 can be written as One hundred thirty-seven billion, two hundred fifty-eight million, nine hundred fourteen thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.37258914464 × 10¹¹

Factors of 137258914464

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 348

Divisors of 137258914464

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 29 32 34 36 42 48 49 51 56 58 63 68 72 84 87 96 98 102 109 112 116 119 126 136 144 147 153 168 174 181 196 203 204 218 224 232 238 252 261 272 288 294 306 327 336 348 357 362 392 406 408 436 441 464 476 493 504 522 543 544 588 609 612 654 672 696 714 724 763 784 812 816 833 872 882 928 952 981 986 1008 1044 1071 1086 1176 1218 1224 1267 1308 1392 1421 1428 1448 1479 1526 1568 1624 1629 1632 1666 1744 1764 1827 1853 1904 1962 1972 2016 2088 2142 2172 2289 2352 2436 2448 2499 2534 2616 2784 2842 2856 2896 2958 3052 3077 3161 3248 3258 3332 3451 3488 3528 3654 3706 3801 3808 3924 3944 4176 4263 4284 4344 4437 4578 4704 4872 4896 4998 5068 5232 5249 5341 5559 5684 5712 5792 5916 6104 6154 6322 6496 6516 6664 6867 6902 7056 7308 7412 7497 7602 7848 7888 8352 8526 8568 8688 8869 8874 9156 9231 9483 9744 9996 10136 10353 10464 10498 10682 11118 11368 11403 11424 11832 12208 12308 12644 12789 12971 13032 13328 13734 13804 14112 14616 14824 14994 15204 15696 15747 15776 16023 16677 17052 17136 17376 17738 17748 18312 18462 18966 19488 19729 19992 20272 20706 20996 21364 21539 22127 22236 22736 22806 23664 24157 24416 24616 25288 25578 25942 26064 26607 26656 27468 27608 27693 28449 29232 29648 29988 30408 31059 31392 31494 32046 33354 34104 34272 35476 35496 36624 36743 36924 37932 38913 39458 39984 40544 41412 41992 42728 43078 44254 44472 45472 45612 47241 47328 48069 48314 49232 50576 51156 51884 52128 53214 53737 54936 55216 55386 56898 58464 59187 59296 59976 60816 62118 62988 64092 64617 66381 66708 68208 70952 70992 72471 73248 73486 73848 75864 77826 78916 79821 79968 82824 83984 85456 86156 88508 88944 89233 90797 91224 94482 96138 96628 98464 101152 102312 103768 106428 107474 109872 110229 110432 110772 113796 116739 118374 119952 121632 124236 125976 128184 129234 132762 133416 136416 138103 141904 141984 144942 146972 147696 150773 151728 154889 155652 157832 159642 161211 165648 167968 170912 172312 177016 177561 177888 178466 181594 182448 188964 192276 193256 193851 199143 204624 207536 212856 214948 217413 219744 220458 221544 227592 233478 236748 239904 248472 251952 256368 257201 258468 265524 266832 267699 272391 276206 283808 289884 293944 295392 301546 303456 309778 311304 315664 319284 322422 330687 331296 335393 344624 354032 355122 356932 363188 364896 376159 377928 384552 386512 387702 398286 409248 414309 415072 425712 429896 434826 440916 443088 452319 455184 464667 466956 473496 483633 496944 503904 512736 514402 516936 531048 533664 535398 544782 552412 572141 579768 587888 603092 619556 622608 624631 631328 638568 644844 661374 670786 689248 708064 710244 713864 726376 752318 755856 769104 771603 773024 775404 796572 803097 817173 828618 851424 859792 869652 881832 886176 904638 910368 929334 933912 946992 966721 967266 993888 1006179 1028804 1033872 1062096 1070796 1089564 1104824 1128477 1144282 1159536 1175776 1206184 1239112 1242927 1245216 1249262 1277136 1289688 1322748 1341572 1356957 1394001 1420488 1427728 1452752 1504636 1511712 1538208 1543206 1550808 1593144 1606194 1634346 1657236 1716423 1719584 1739304 1763664 1809276 1858668 1867824 1873893 1893984 1933442 1934532 2012358 2057608 2067744 2124192 2141592 2179128 2209648 2256954 2288564 2314809 2319072 2347751 2412368 2478224 2485854 2498524 2554272 2579376 2633113 2645496 2683144 2713914 2788002 2840976 2855456 2900163 2905504 3009272 3018537 3086412 3101616 3186288 3212388 3268692 3314472 3385431 3432846 3478608 3527328 3618552 3717336 3735648 3747786 3866884 3869064 4004987 4024716 4115216 4283184 4358256 4372417 4419296 4513908 4577128 4629618 4695502 4824736 4956448 4971708 4997048 5149269 5158752 5266226 5290992 5366288 5427828 5576004 5621679 5681952 5800326 6018544 6037074 6172824 6203232 6372576 6424776 6537384 6628944 6770862 6865692 6957216 7043253 7237104 7434672 7495572 7733768 7738128 7899339 8009974 8049432 8230432 8566368 8700489 8716512 8744834 9027816 9154256 9259236 9391004 9726397 9943416 9994096 10298538 10532452 10581984 10732576 10855656 11152008 11243358 11600652 12014961 12037088 12074148 12345648 12849552 13074768 13117251 13257888 13541724 13731384 14086506 14474208 14869344 14991144 15467536 15476256 15798678 16019948 16098864 16434257 17400978 17489668 18055632 18308512 18518472 18782008 19452794 19886832 19988192 20597076 21064904 21129759 21711312 22304016 22486716 23201304 23698017 24029922 24148296 24691296 25699104 26149536 26234502 27083448 27462768 28034909 28173012 29179191 29982288 30935072 31597356 32039896 32197728 32868514 34801956 34979336 36044883 36111264 37036944 37564016 38905588 39351753 39773664 41194152 42129808 42259518 43422624 44608032 44973432 46402608 47396034 48059844 48296592 49302771 52469004 54166896 54925536 56069818 56346024 58358382 59964576 63194712 64079792 65737028 68084779 69603912 69958672 72089766 74073888 75128032 77811176 78703506 82388304 84104727 84259616 84519036 87537573 89946864 92805216 94792068 96119688 96593184 98605542 104938008 108333792 112139636 112692048 116716764 126389424 128159584 131474056 136169558 139207824 139917344 144179532 147908313 155622352 157407012 164776608 168209454 169038072 175075146 179893728 189584136 192239376 197211084 204254337 209876016 224279272 225384096 233433528 252314181 252778848 262948112 272339116 278415648 288359064 295816626 311244704 314814024 336418908 338076144 350150292 379168272 384478752 394422168 408508674 419752032 448558544 466867056 476593453 504628362 525896224 544678232 576718128 591633252 612763011 629628048 672837816 676152288 700300584 758336544 788844336 817017348 897117088 933734112 953186906 1009256724 1089356464 1153436256 1183266504 1225526022 1259256096 1345675632 1400601168 1429780359 1577688672 1634034696 1906373812 2018513448 2178712928 2366533008 2451052044 2691351264 2801202336 2859560718 3268069392 3812747624 4037026896 4289341077 4733066016 4902104088 5719121436 6536138784 7625495248 8074053792 8578682154 9804208176 11438242872 15250990496 17157364308 19608416352 22876485744 34314728616 45752971488 68629457232 137258914464
• Sum of all divisors σ(n): 504680576400
• Sum of proper divisors (its aliquot sum) s(n): 367421661936
• 137258914464 is an abundant number, because the sum of its proper divisors (367421661936) is greater than itself. Its abundance is 230162747472

Bases of 137258914464

• Binary: 1111111110101010001001101001010100000₂
• Hexadecimal: 0x1FF544D2A0
• Base-36: 1R20EW80

Squares and roots of 137258914464

• 137258914464 squared (137258914464²) is 18840009599835668407296
• 137258914464 cubed (137258914464³) is 2585959266164782878373308777529344
• The square root of 137258914464 is 370484.7020647411
• The cube root of 137258914464 is 5158.3822330695

Scales and comparisons

• 137,258,914,464 seconds is equal to 4,364 years, 21 weeks, 1 day, 20 hours, 14 minutes, 24 seconds.
• To count from 1 to 137,258,914,464 would take you about eight thousand, seven hundred twenty-eight 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 137258914464 cubic inches would be around 429.9 feet tall.

Recreational maths with 137258914464

• 137258914464 backwards is 464419852731
• The number of decimal digits it has is: 12
• The sum of 137258914464's digits is 54
• More coming soon!