137548948992

Names of 137548948992

• Cardinal: 137548948992 can be written as One hundred thirty-seven billion, five hundred forty-eight million, nine hundred forty-eight thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 1.37548948992 × 10¹¹

Factors of 137548948992

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 195

Divisors of 137548948992

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 49 52 56 57 64 76 78 84 91 96 98 104 112 114 128 133 147 151 152 156 168 182 192 196 208 224 228 247 256 266 273 294 302 304 312 336 343 364 384 392 399 416 448 453 456 494 512 532 546 588 604 608 624 637 672 686 728 741 768 784 798 832 896 906 912 931 988 1029 1057 1064 1092 1176 1208 1216 1248 1274 1344 1372 1456 1482 1536 1568 1596 1664 1729 1792 1812 1824 1862 1911 1963 1976 2058 2114 2128 2184 2352 2401 2416 2432 2496 2548 2688 2744 2793 2869 2912 2964 3136 3171 3192 3328 3458 3584 3624 3648 3724 3822 3926 3952 4116 4228 4256 4368 4459 4704 4802 4832 4864 4992 5096 5187 5376 5488 5586 5738 5824 5889 5928 6272 6342 6384 6517 6656 6916 7203 7248 7296 7399 7448 7644 7852 7904 8232 8456 8512 8607 8736 8918 9408 9604 9664 9728 9984 10192 10374 10752 10976 11172 11476 11648 11778 11856 12103 12544 12684 12768 13034 13377 13741 13832 14406 14496 14592 14798 14896 15288 15704 15808 16464 16912 17024 17214 17472 17836 18816 19208 19328 19551 19968 20083 20384 20748 21952 22197 22344 22952 23296 23556 23712 24206 25088 25368 25536 26068 26754 27482 27664 28812 28992 29184 29596 29792 30576 31213 31408 31616 32928 33824 34048 34428 34944 35672 36309 37297 37632 38416 38656 39102 40166 40768 41223 41496 43904 44394 44688 45619 45904 46592 47112 47424 48412 50736 51072 51793 52136 53508 54964 55328 57624 57984 59192 59584 60249 61152 62426 62816 63232 65856 67648 68096 68856 69888 71344 72618 74594 75264 76832 77312 78204 80332 81536 82446 82992 84721 87808 88788 89376 91238 91808 93639 94224 94848 96187 96824 101472 102144 103586 104272 107016 109928 110656 111891 115248 115968 118384 119168 120498 122304 124852 125632 126464 131712 135296 136857 137712 139776 140581 142688 145236 149188 153664 155379 156408 160664 163072 164892 165984 169442 175616 177576 178752 182476 183616 187278 188448 189696 192374 193648 202944 204288 207172 208544 214032 219856 221312 223782 230496 231936 236768 238336 240996 244608 249704 251264 254163 261079 263424 270592 273714 275424 281162 285376 288561 290472 298376 307328 310758 312816 321328 326144 329784 331968 338884 355152 357504 362551 364952 367232 374556 376896 379392 384748 387296 405888 414344 417088 421743 428064 439712 442624 447564 460992 473536 476672 481992 489216 499408 502528 508326 522158 526848 541184 547428 550848 562324 570752 577122 580944 593047 596752 614656 621516 625632 642656 659568 663936 673309 677768 710304 715008 725102 729904 734464 749112 753792 769496 774592 783237 811776 828688 834176 843486 856128 879424 885248 895128 921984 947072 963984 978432 984067 998816 1005056 1016652 1044316 1087653 1094856 1101696 1124648 1141504 1154244 1161888 1186094 1193504 1229312 1243032 1251264 1285312 1319136 1327872 1346618 1355536 1420608 1430016 1450204 1459808 1468928 1498224 1507584 1538992 1549184 1566474 1623552 1657376 1668352 1686972 1712256 1758848 1779141 1790256 1827553 1843968 1894144 1927968 1968134 1997632 2019927 2033304 2088632 2175306 2189712 2203392 2249296 2283008 2308488 2323776 2372188 2387008 2486064 2502528 2570624 2638272 2655744 2693236 2711072 2841216 2900408 2919616 2952201 2996448 3015168 3077984 3098368 3132948 3314752 3336704 3373944 3424512 3517696 3558282 3580512 3655106 3687936 3788288 3855936 3936268 3995264 4039854 4066608 4177264 4350612 4379424 4406784 4498592 4616976 4647552 4713163 4744376 4774016 4972128 5005056 5141248 5276544 5386472 5422144 5482659 5682432 5800816 5839232 5904402 5992896 6155968 6196736 6265896 6629504 6747888 6849024 6888469 7035392 7116564 7161024 7310212 7711872 7872536 7990528 8079708 8133216 8354528 8701224 8758848 8997184 9233952 9295104 9426326 9488752 9548032 9944256 10010112 10282496 10553088 10772944 10844288 10965318 11364864 11601632 11678464 11808804 11985792 12311936 12531792 12792871 13259008 13495776 13776938 14139489 14233128 14322048 14620424 15423744 15745072 15981056 16159416 16266432 16709056 17402448 17517696 17994368 18467904 18590208 18852652 18977504 19096064 19888512 20665407 21106176 21545888 21688576 21930636 23203264 23356928 23617608 23971584 24623872 25063584 25585742 26518016 26991552 27553876 28278978 28466256 28644096 29240848 30847488 31490144 32318832 32532864 33418112 34804896 35035392 35988736 36935808 37705304 37955008 38378613 39777024 41330814 43091776 43377152 43861272 46406528 47235216 47943168 49247744 50127168 51171484 53983104 55107752 56557956 56932512 57288192 58481696 62980288 64637664 65065728 66836224 69609792 70070784 71977472 73871616 75410608 75910016 76757226 79554048 82661628 86183552 87722544 89550097 92813056 94470432 100254336 102342968 107966208 110215504 113115912 113865024 116963392 125960576 129275328 130131456 133672448 139219584 147743232 150821216 151820032 153514452 165323256 172367104 175445088 179100194 185626112 188940864 200508672 204685936 215932416 220431008 226231824 227730048 233926784 251921152 258550656 268650291 278439168 301642432 303640064 307028904 330646512 344734208 350890176 358200388 377881728 401017344 409371872 440862016 452463648 455460096 467853568 503842304 517101312 537300582 556878336 603284864 614057808 661293024 701780352 716400776 755763456 818743744 881724032 904927296 910920192 935707136 1034202624 1074601164 1206569728 1228115616 1322586048 1403560704 1432801552 1511526912 1637487488 1763448064 1809854592 2149202328 2413139456 2456231232 2645172096 2807121408 2865603104 3274974976 3526896128 3619709184 4298404656 4912462464 5290344192 5731206208 6549949952 7239418368 8596809312 9824924928 10580688384 11462412416 17193618624 19649849856 22924824832 34387237248 45849649664 68774474496 137548948992
• Sum of all divisors σ(n): 487809611520
• Sum of proper divisors (its aliquot sum) s(n): 350260662528
• 137548948992 is an abundant number, because the sum of its proper divisors (350260662528) is greater than itself. Its abundance is 212711713536

Bases of 137548948992

• Binary: 10000000000110100011100110011000000000₂
• Hexadecimal: 0x20068E6600
• Base-36: 1R6T3CAO

Squares and roots of 137548948992

• 137548948992 squared (137548948992²) is 18919713368803817816064
• 137548948992 cubed (137548948992³) is 2602386689108856820836647974207488
• The square root of 137548948992 is 370875.9212890479
• The cube root of 137548948992 is 5162.0129782067

Scales and comparisons

• 137,548,948,992 seconds is equal to 4,373 years, 32 weeks, 5 days, 17 hours, 23 minutes, 12 seconds.
• To count from 1 to 137,548,948,992 would take you about eight thousand, seven hundred forty-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 137548948992 cubic inches would be around 430.2 feet tall.

Recreational maths with 137548948992

• 137548948992 backwards is 299849845731
• The number of decimal digits it has is: 12
• The sum of 137548948992's digits is 69
• More coming soon!