137733164688

Names of 137733164688

• Cardinal: 137733164688 can be written as One hundred thirty-seven billion, seven hundred thirty-three million, one hundred sixty-four thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.37733164688 × 10¹¹

Factors of 137733164688

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 368

Divisors of 137733164688

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 34 42 48 49 51 56 58 68 71 84 87 98 102 112 116 119 136 142 147 168 174 196 203 204 213 232 238 239 272 284 294 336 343 348 357 392 406 408 426 464 476 478 493 497 568 588 609 686 696 714 717 784 812 816 833 852 952 956 986 994 1029 1136 1176 1207 1218 1372 1392 1421 1428 1434 1479 1491 1624 1666 1673 1704 1904 1912 1972 1988 2058 2059 2352 2414 2436 2499 2744 2842 2856 2868 2958 2982 3248 3332 3346 3408 3451 3479 3621 3824 3944 3976 4063 4116 4118 4263 4828 4872 4998 5019 5488 5684 5712 5736 5831 5916 5964 6177 6664 6692 6902 6931 6958 7242 7888 7952 8126 8232 8236 8449 8526 9656 9744 9947 9996 10038 10353 10437 11368 11472 11662 11711 11832 11928 12189 12354 13328 13384 13804 13862 13916 14413 14484 16252 16464 16472 16898 16969 17052 17493 19312 19894 19992 20076 20706 20793 20874 22736 23324 23422 23664 23856 24157 24353 24378 24708 25347 26768 27608 27724 27832 28441 28826 28968 29841 32504 32944 33796 33938 34104 34986 35003 35133 39788 39984 40152 41412 41586 41748 43239 46648 46844 48314 48517 48706 48756 49416 50694 50907 55216 55448 55664 56882 57652 57936 59143 59682 65008 67592 67876 68208 69972 70006 70266 72471 73059 79576 80304 81977 82824 83172 83496 85323 86478 93296 93688 96628 97034 97412 97512 98832 100891 101388 101814 105009 110896 113764 115304 117827 118286 118783 119364 135184 135752 139944 140012 140532 144942 145551 146118 159152 163954 165648 166344 166992 169099 170646 172956 177429 187376 193256 194068 194824 195024 199087 201782 202776 203628 210018 227528 230608 235654 236572 237566 238728 245021 245931 271504 279888 280024 281064 288473 289884 291102 292236 302673 327908 332688 338198 339619 341292 345912 353481 354858 356349 386512 388136 389648 398174 403564 405552 407256 414001 420036 455056 471308 473144 475132 477456 490042 491862 492101 507297 560048 562128 576946 579768 582204 584472 597261 605346 655816 676396 679238 682584 691824 706237 706962 709716 712698 735063 776272 796348 807128 814512 824789 828002 831481 840072 865419 942616 946288 950264 980084 983724 984202 1014594 1018857 1153892 1159536 1164408 1168944 1194522 1210692 1242003 1311632 1352792 1358476 1365168 1393609 1412474 1413924 1419432 1425396 1470126 1476303 1592696 1614256 1649578 1656004 1662962 1680144 1715147 1730838 1885232 1900528 1960168 1967448 1968404 2019311 2029188 2037714 2118711 2307784 2328816 2377333 2389044 2421384 2474367 2484006 2494443 2705584 2716952 2787218 2824948 2827848 2838864 2850792 2940252 2952606 3185392 3299156 3312008 3325924 3430294 3444707 3461676 3920336 3934896 3936808 4038622 4058376 4075428 4180827 4237422 4615568 4754666 4778088 4842768 4948734 4968012 4988886 5145441 5433904 5574436 5649896 5655696 5701584 5773523 5820367 5880504 5905212 6057933 6598312 6624016 6651848 6860588 6889414 6923352 7131999 7873616 8077244 8116752 8150856 8361654 8365717 8474844 9509332 9556176 9897468 9936024 9977772 10290882 10334121 11148872 11299792 11547046 11640734 11761008 11810424 12006029 12115866 13196624 13303696 13721176 13778828 13846704 14135177 14263998 16154488 16301712 16723308 16731434 16949688 17320569 17461101 19018664 19794936 19872048 19955544 20581764 20668242 22297744 23094092 23281468 23620848 24012058 24112949 24231732 25097151 27442352 27557656 28270354 28527996 32308976 33446616 33462868 33899376 34641138 34922202 36018087 38037328 39589872 39911088 40414661 41163528 41336484 42405531 46188184 46562936 48024116 48225898 48463464 50194302 55115312 56540708 57055992 58560019 66893232 66925736 69282276 69844404 72036174 72338847 80829322 82327056 82672968 84811062 92376368 93125872 96048232 96451796 96926928 98946239 100388604 113081416 114111984 117120038 121243983 133851472 138564552 139688808 144072348 144677694 161658644 165345936 168790643 169622124 175680057 192096464 192903592 197892478 200777208 226162832 234240076 242487966 277129104 279377616 288144696 289355388 296838717 323317288 337581286 339244248 351360114 385807184 395784956 401554416 409920133 468480152 484975932 506371929 576289392 578710776 593677434 646634576 675162572 678488496 702720228 791569912 819840266 936960304 969951864 1012743858 1157421552 1187354868 1229760399 1350325144 1405440456 1583139824 1639680532 1939903728 2025487716 2374709736 2459520798 2700650288 2810880912 2869440931 3279361064 4050975432 4749419472 4919041596 5738881862 6558722128 8101950864 8608322793 9838083192 11477763724 17216645586 19676166384 22955527448 34433291172 45911054896 68866582344 137733164688
• Sum of all divisors σ(n): 462827520000
• Sum of proper divisors (its aliquot sum) s(n): 325094355312
• 137733164688 is an abundant number, because the sum of its proper divisors (325094355312) is greater than itself. Its abundance is 187361190624

Bases of 137733164688

• Binary: 10000000010001100010010100111010010000₂
• Hexadecimal: 0x2011894E90
• Base-36: 1R9URQ1C

Squares and roots of 137733164688

• 137733164688 squared (137733164688²) is 18970424654971730137344
• 137733164688 cubed (137733164688³) is 2612856623204516884991094010908672
• The square root of 137733164688 is 371124.1903837583
• The cube root of 137733164688 is 5164.3163996925

Scales and comparisons

• 137,733,164,688 seconds is equal to 4,379 years, 25 weeks, 2 days, 20 hours, 24 minutes, 48 seconds.
• To count from 1 to 137,733,164,688 would take you about eight thousand, seven hundred fifty-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 137733164688 cubic inches would be around 430.4 feet tall.

Recreational maths with 137733164688

• 137733164688 backwards is 886461337731
• The number of decimal digits it has is: 12
• The sum of 137733164688's digits is 57
• More coming soon!