137721993696

Names of 137721993696

• Cardinal: 137721993696 can be written as One hundred thirty-seven billion, seven hundred twenty-one million, nine hundred ninety-three thousand, six hundred ninety-six.

Scientific notation

• Scientific notation: 1.37721993696 × 10¹¹

Factors of 137721993696

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 596

Divisors of 137721993696

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 97 101 112 114 126 133 144 152 168 171 194 202 224 228 252 266 288 291 303 304 336 342 367 388 399 404 456 504 532 582 606 608 672 679 684 707 734 776 798 808 873 909 912 1008 1064 1101 1164 1197 1212 1358 1368 1414 1468 1552 1596 1616 1746 1818 1824 1843 1919 2016 2037 2121 2128 2202 2328 2394 2424 2569 2716 2736 2828 2936 3104 3192 3232 3303 3492 3636 3686 3838 4074 4242 4256 4404 4656 4788 4848 5138 5432 5472 5529 5656 5757 5872 6111 6363 6384 6606 6973 6984 7272 7372 7676 7707 8148 8484 8808 9312 9576 9696 9797 10276 10864 11058 11312 11514 11744 12222 12726 12768 12901 13212 13433 13946 13968 14544 14744 15352 15414 16296 16587 16968 17271 17616 19152 19594 20552 20919 21728 22116 22624 23028 23121 24444 25452 25802 26424 26866 27892 27936 29088 29391 29488 30704 30828 32592 33174 33936 34542 35232 35599 37067 38304 38703 39188 40299 41104 41838 44232 46056 46242 48811 48888 50904 51604 52848 53732 55784 58782 58976 61408 61656 62757 65184 66348 67872 68579 69084 71198 74134 77406 78376 80598 82208 83676 88173 88464 92112 92484 97622 97776 101808 103208 105696 106797 107464 111201 111568 116109 117564 120897 123312 125514 132696 137158 138168 142396 146433 148268 154812 156752 161196 167352 176346 176928 184224 184968 186143 195244 195552 203616 205737 206416 213594 214928 222402 223136 232218 235128 241794 246624 249193 251028 259469 265392 274316 276336 284792 292866 296536 309624 313504 320391 322392 333603 334704 352692 369936 372286 390488 411474 412832 427188 429856 439299 444804 464436 470256 483588 498386 502056 518938 530784 548632 552672 558429 569584 585732 593072 617211 619248 640782 644784 667206 669408 676381 704273 705384 739872 744572 747579 778407 780976 822948 854376 878598 889608 928872 940512 967176 996772 1004112 1037876 1097264 1116858 1139168 1171464 1186144 1234422 1238496 1281564 1289568 1303001 1334412 1352762 1408546 1410768 1489144 1495158 1556814 1561952 1645896 1675287 1708752 1757196 1779216 1857744 1934352 1993544 2008224 2029143 2075752 2112819 2194528 2233716 2242737 2335221 2342928 2468844 2563128 2606002 2668824 2705524 2817092 2821536 2978288 2990316 3113628 3291792 3350574 3417504 3514392 3558432 3595499 3715488 3868704 3909003 3987088 4058286 4151504 4225638 4467432 4485474 4670442 4685856 4734667 4929911 4937688 5126256 5212004 5337648 5411048 5634184 5956576 5980632 6087429 6227256 6338457 6583584 6701148 7028784 7190998 7818006 7974176 8116572 8303008 8451276 8934864 8970948 9340884 9469334 9859822 9875376 10252512 10424008 10675296 10786497 10822096 11268368 11727009 11961264 12174858 12454512 12676914 13402296 14057568 14204001 14381996 14789733 15636012 16233144 16902552 17869728 17941896 18681768 18938668 19719644 19750752 20848016 21572994 21644192 22536736 23454018 23922528 24349716 24909024 25168493 25353828 26804592 28408002 28763992 29579466 31272024 32359491 32466288 33805104 35883792 37363536 37877336 39439288 41696032 42612003 43145988 44369199 46908036 48699432 50336986 50707656 53609184 56816004 57527984 59158932 62544048 64718982 64932576 67610208 68314481 71767584 74727072 75505479 75754672 78878576 85224006 86291976 88738398 93816072 97398864 100673972 101415312 113632008 115055968 118317864 125088096 129437964 136628962 151010958 151509344 157757152 170448012 172583952 177476796 187632144 194797728 201347944 202830624 204943443 226516437 227264016 236635728 258875928 273257924 302021916 340896024 345167904 354953592 375264288 402695888 409886886 453032874 454528032 473271456 478201367 517751856 546515848 604043832 614830329 681792048 709907184 805391776 819773772 906065748 956402734 1035503712 1093031696 1208087664 1229660658 1363584096 1419814368 1434604101 1639547544 1812131496 1912805468 2186063392 2416175328 2459321316 2869208202 3279095088 3624262992 3825610936 4303812303 4918642632 5738416404 6558190176 7248525984 7651221872 8607624606 9837285264 11476832808 15302443744 17215249212 19674570528 22953665616 34430498424 45907331232 68860996848 137721993696
• Sum of all divisors σ(n): 482034309120
• Sum of proper divisors (its aliquot sum) s(n): 344312315424
• 137721993696 is an abundant number, because the sum of its proper divisors (344312315424) is greater than itself. Its abundance is 206590321728

Bases of 137721993696

• Binary: 10000000010000110111101101100111100000₂
• Hexadecimal: 0x2010DED9E0
• Base-36: 1R9O4AG0

Squares and roots of 137721993696

• 137721993696 squared (137721993696²) is 18967347547601063740416
• 137721993696 cubed (137721993696³) is 2612220919380554760380466532417536
• The square root of 137721993696 is 371109.1398712783
• The cube root of 137721993696 is 5164.1767768281

Scales and comparisons

• 137,721,993,696 seconds is equal to 4,379 years, 6 weeks, 6 days, 13 hours, 21 minutes, 36 seconds.
• To count from 1 to 137,721,993,696 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 137721993696 cubic inches would be around 430.3 feet tall.

Recreational maths with 137721993696

• 137721993696 backwards is 696399127731
• 137721993696 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137721993696's digits is 63
• More coming soon!