137936623968
137,936,623,968 is an even composite number composed of seven prime numbers multiplied together.
137936623968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 137936623968:
25 × 32 × 11 × 13 × 37 × 131 × 691
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 37 × 131 × 691)See below for interesting mathematical facts about the number 137936623968 from the Numbermatics database.
Names of 137936623968
- Cardinal: 137936623968 can be written as One hundred thirty-seven billion, nine hundred thirty-six million, six hundred twenty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37936623968 × 1011
Factors of 137936623968
Divisors of 137936623968
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 37 39 44 48 52 66 72 74 78 88 96 99 104 111 117 131 132 143 144 148 156 176 198 208 222 234 262 264 286 288 296 312 333 352 393 396 407 416 429 444 468 481 524 528 572 592 624 666 691 786 792 814 858 888 936 962 1048 1056 1144 1179 1184 1221 1248 1287 1332 1382 1441 1443 1572 1584 1628 1703 1716 1776 1872 1924 2073 2096 2288 2358 2442 2574 2664 2764 2882 2886 3144 3168 3256 3406 3432 3552 3663 3744 3848 4146 4192 4323 4329 4576 4716 4847 4884 5109 5148 5291 5328 5528 5764 5772 6219 6288 6512 6812 6864 7326 7601 7696 8292 8646 8658 8983 9432 9694 9768 10218 10296 10582 10656 11056 11528 11544 12438 12576 12969 13024 13624 13728 14541 14652 15202 15327 15392 15873 16584 17292 17316 17966 18733 18864 19388 19536 20436 20592 21164 22112 22803 23056 23088 24876 25567 25938 26949 27248 29082 29304 30404 30654 31746 33168 34584 34632 35932 37466 37728 38776 39072 40872 41184 42328 43623 45606 46112 46176 47619 49752 51134 51876 53317 53898 54496 56199 58164 58608 60808 61308 63011 63492 66336 68409 69168 69264 71864 74932 76701 77552 80847 81744 84656 87246 90521 91212 95238 98813 99504 102268 103752 106634 107796 112398 116328 117216 121616 122616 126022 126984 136818 138336 138528 143728 149864 153402 155104 159951 161694 163488 168597 169312 174492 181042 182424 189033 190476 197626 199008 204536 207504 213268 215592 224796 230103 232656 243232 245232 252044 253968 271563 273636 281237 287456 296439 299728 306804 319902 323388 332371 337194 348984 362084 364848 378066 380952 395252 409072 415008 426536 431184 449592 460206 465312 479853 490464 504088 507936 543126 547272 562474 567099 592878 599456 613608 639804 646776 664742 674388 693121 697968 724168 729696 756132 761904 790504 814689 818144 843711 853072 862368 889317 899184 920412 959706 995731 997113 1008176 1086252 1094544 1124948 1134198 1176773 1185756 1227216 1279608 1293552 1329484 1348776 1386242 1395936 1448336 1512264 1523808 1581008 1629378 1687422 1706144 1778634 1798368 1840824 1919412 1991462 1994226 2016352 2079363 2172504 2189088 2249896 2268396 2353546 2371512 2454432 2531133 2559216 2587104 2658968 2697552 2772484 2896672 2987193 2991339 3024528 3162016 3258756 3349277 3374844 3530319 3557268 3656081 3681648 3838824 3982924 3988452 4158726 4345008 4499792 4536792 4707092 4743024 5062266 5118432 5317936 5395104 5544968 5974386 5982678 6049056 6238089 6517512 6698554 6749688 7060638 7114536 7312162 7363296 7677648 7965848 7976904 8317452 8690016 8961579 8999584 9073584 9414184 9486048 10047831 10124532 10590957 10635872 10968243 11089936 11948772 11965356 12476178 12944503 13035024 13397108 13499376 14121276 14229072 14624324 15355296 15931696 15953808 16634904 17923158 18147168 18828368 20095662 20249064 21181914 21936486 22179872 23897544 23930712 24952356 25889006 26070048 26794216 26998752 28242552 28458144 29248648 30143493 31863392 31907616 32904729 33269808 35846316 36842047 37656736 38833509 40191324 40498128 42363828 43540601 43872972 47795088 47861424 49904712 51778012 53588432 56485104 58497296 60286986 65809458 66539616 71692632 73684094 77667018 80382648 80996256 84727656 87081202 87745944 95590176 95722848 99809424 103556024 107176864 110526141 112970208 116500527 116994592 120573972 130621803 131618916 143385264 147368188 155334036 160765296 169455312 174162404 175491888 199618848 207112048 221052282 233001054 241147944 261243606 263237832 286770528 294736376 310668072 321530592 331578423 338910624 348324808 350983776 391865409 414224096 442104564 466002108 478946611 482295888 522487212 526475664 589472752 621336144 663156846 696649616 783730818 884209128 932004216 957893222 964591776 1044974424 1052951328 1178945504 1242672288 1326313692 1393299232 1436839833 1567461636 1768418256 1864008432 1915786444 2089948848 2652627384 2873679666 3134923272 3536836512 3728016864 3831572888 4179897696 4310519499 5305254768 5747359332 6269846544 7663145776 8621038998 10610509536 11494718664 12539693088 15326291552 17242077996 22989437328 34484155992 45978874656 68968311984 137936623968
- Sum of all divisors σ(n): 477591738624
- Sum of proper divisors (its aliquot sum) s(n): 339655114656
- 137936623968 is an abundant number, because the sum of its proper divisors (339655114656) is greater than itself. Its abundance is 201718490688
Bases of 137936623968
- Binary: 100000000111011010100111011001011000002
- Hexadecimal: 0x201DA9D960
- Base-36: 1RD7WK80
Squares and roots of 137936623968
- 137936623968 squared (1379366239682) is 19026512231689432065024
- 137936623968 cubed (1379366239683) is 2624452863125097684112697212895232
-
The
square root of 137936623968 is 371398.2013526721 -
The
cube root of 137936623968 is 5166.8580561019
Scales and comparisons
How big is 137936623968?- 137,936,623,968 seconds is equal to 4,385 years, 49 weeks, 5 days, 16 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,936,623,968 would take you about eight thousand, seven hundred seventy-one 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 137936623968 cubic inches would be around 430.6 feet tall.
Recreational maths with 137936623968
- 137936623968 backwards is 869326639731
- The number of decimal digits it has is: 12
- The sum of 137936623968's digits is 63
- More coming soon!
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