137642990688
137,642,990,688 is an even composite number composed of six prime numbers multiplied together.
What does the number 137642990688 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
137642990688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 137642990688:
25 × 33 × 7 × 23 × 97 × 1012
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 23 × 97 × 101 × 101)See below for interesting mathematical facts about the number 137642990688 from the Numbermatics database.
Names of 137642990688
- Cardinal: 137642990688 can be written as One hundred thirty-seven billion, six hundred forty-two million, nine hundred ninety thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.37642990688 × 1011
Factors of 137642990688
Divisors of 137642990688
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 54 56 63 69 72 84 92 96 97 101 108 112 126 138 144 161 168 184 189 194 202 207 216 224 252 276 288 291 303 322 336 368 378 388 404 414 432 483 504 552 582 606 621 644 672 679 707 736 756 776 808 828 864 873 909 966 1008 1104 1164 1212 1242 1288 1358 1414 1449 1512 1552 1616 1656 1746 1818 1932 2016 2037 2121 2208 2231 2323 2328 2424 2484 2576 2619 2716 2727 2828 2898 3024 3104 3232 3312 3492 3636 3864 4074 4242 4347 4462 4646 4656 4848 4968 5152 5238 5432 5454 5656 5796 6048 6111 6363 6624 6693 6969 6984 7272 7728 8148 8484 8694 8924 9292 9312 9696 9797 9936 10201 10476 10864 10908 11312 11592 12222 12726 13386 13938 13968 14544 15456 15617 16261 16296 16968 17388 17848 18333 18584 19089 19594 19872 20079 20402 20907 20952 21728 21816 22624 23184 24444 25452 26772 27876 27936 29088 29391 30603 31234 32522 32592 33936 34776 35696 36666 37168 38178 39188 40158 40804 41814 41904 43632 46368 46851 48783 48888 50904 53544 55752 58782 60237 61206 62468 62721 65044 65184 67872 68579 69552 71392 71407 73332 74336 76356 78376 80316 81608 83628 83808 87264 88173 91809 93702 97566 97776 101808 107088 111504 117564 120474 122412 124936 125442 130088 137158 139104 140553 142814 146349 146664 152712 156752 160632 163216 167256 176346 183618 187404 195132 195552 203616 205737 214176 214221 223008 225331 234623 235128 240948 244824 249872 250884 260176 264519 274316 275427 281106 285628 292698 293328 305424 313504 321264 326432 334512 352692 367236 374808 390264 411474 421659 428442 439047 450662 469246 470256 481896 489648 499744 501768 520352 529038 548632 550854 562212 571256 585396 586656 610848 617211 642528 642663 669024 675993 703869 705384 734472 749616 780528 822948 843318 856884 878094 901324 938492 940512 963792 979296 989497 1003536 1058076 1097264 1101708 1124424 1142512 1170792 1234422 1285326 1351986 1407738 1410768 1468944 1499232 1561056 1577317 1642361 1645896 1686636 1713768 1756188 1802648 1851633 1876984 1927584 1927989 1978994 2007072 2027979 2111607 2116152 2194528 2203416 2248848 2285024 2341584 2468844 2570652 2703972 2815476 2821536 2937888 2968491 3154634 3284722 3291792 3373272 3427536 3512376 3605296 3703266 3753968 3855978 3957988 4055958 4223214 4232304 4406832 4497696 4683168 4731951 4927083 4937688 5141304 5407944 5630952 5936982 6083937 6309268 6334821 6569444 6583584 6746544 6855072 6926479 7024752 7210592 7406532 7507936 7711956 7915976 8111916 8446428 8464608 8813664 8905473 9463902 9854166 9875376 10282608 10815888 11261904 11873964 12167874 12618536 12669642 13138888 13493088 13852958 14049504 14195853 14781249 14813064 15423912 15831952 16223832 16892856 17810946 18927804 19708332 19750752 20565216 20779437 21631776 22523808 22758431 23747928 24335748 25237072 25339284 26277776 26716419 27705916 28391706 29562498 29626128 30847824 31663904 32447664 33785712 35621892 37855608 39416664 41558874 42587559 44343747 45516862 47495856 48671496 50474144 50678568 52555552 53432838 55411832 56783412 59124996 59252256 61695648 62338311 64895328 67571424 68275293 71243784 75711216 78833328 83117748 85175118 88687494 91033724 94991712 97342992 101357136 106865676 110823664 113566824 118249992 124676622 136550586 142487568 151422432 157666656 159309017 166235496 170350236 177374988 182067448 187014933 194685984 202714272 204825879 213731352 221647328 227133648 236499984 249353244 273101172 284975136 318618034 332470992 340700472 354749976 364134896 374029866 409651758 427462704 454267296 472999968 477927051 498706488 546202344 614477637 637236068 664941984 681400944 709499952 728269792 748059732 819303516 854925408 955854102 997412976 1092404688 1228955274 1274472136 1362801888 1418999904 1433781153 1496119464 1638607032 1911708204 1994825952 2184809376 2457910548 2548944272 2867562306 2992238928 3277214064 3823416408 4301343459 4915821096 5097888544 5735124612 5984477856 6554428128 7646832816 8602686918 9831642192 11470249224 15293665632 17205373836 19663284384 22940498448 34410747672 45880996896 68821495344 137642990688
- Sum of all divisors σ(n): 488530344960
- Sum of proper divisors (its aliquot sum) s(n): 350887354272
- 137642990688 is an abundant number, because the sum of its proper divisors (350887354272) is greater than itself. Its abundance is 213244363584
Bases of 137642990688
- Binary: 100000000011000010100101011100011000002
- Hexadecimal: 0x200C295C60
- Base-36: 1R8D2ZC0
Squares and roots of 137642990688
- 137642990688 squared (1376429906882) is 18945592885536854713344
- 137642990688 cubed (1376429906883) is 2607728065122588343189617101340672
-
The
square root of 137642990688 is 371002.6828582241 -
The
cube root of 137642990688 is 5163.1891264521
Scales and comparisons
How big is 137642990688?- 137,642,990,688 seconds is equal to 4,376 years, 32 weeks, 2 days, 4 hours, 4 minutes, 48 seconds.
-
To count from 1 to 137,642,990,688 would take you about eight thousand, seven hundred fifty-three 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 137642990688 cubic inches would be around 430.3 feet tall.
Recreational maths with 137642990688
- 137642990688 backwards is 886099246731
- 137642990688 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137642990688's digits is 63
- More coming soon!
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