137313011458896
137,313,011,458,896 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137313011458896 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
137313011458896 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137313011458896:
24 × 3 × 73 × 132 × 61 × 157 × 5153
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 13 × 61 × 157 × 5153)See below for interesting mathematical facts about the number 137313011458896 from the Numbermatics database.
Names of 137313011458896
- Cardinal: 137313011458896 can be written as One hundred thirty-seven trillion, three hundred thirteen billion, eleven million, four hundred fifty-eight thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.37313011458896 × 1014
Factors of 137313011458896
Divisors of 137313011458896
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 61 78 84 91 98 104 112 122 147 156 157 168 169 182 183 196 208 244 273 294 312 314 336 338 343 364 366 392 427 471 488 507 546 588 624 628 637 676 686 728 732 784 793 854 942 976 1014 1029 1092 1099 1176 1183 1256 1274 1281 1352 1372 1456 1464 1586 1708 1884 1911 2028 2041 2058 2184 2198 2352 2366 2379 2512 2548 2562 2704 2744 2928 2989 3172 3297 3416 3549 3768 3822 4056 4082 4116 4368 4396 4459 4732 4758 5096 5124 5153 5488 5551 5978 6123 6344 6594 6832 7098 7536 7644 7693 8112 8164 8232 8281 8792 8918 8967 9464 9516 9577 10192 10248 10306 10309 11102 11956 12246 12688 13188 13377 14196 14287 15288 15386 15459 16328 16464 16562 16653 17584 17836 17934 18928 19032 19154 20496 20612 20618 20923 22204 23079 23912 24492 24843 26376 26533 26754 28392 28574 28731 30576 30772 30918 30927 32656 33124 33306 35672 35868 36071 38064 38308 38857 41224 41236 41846 42861 44408 46158 47824 48984 49686 52752 53066 53508 53851 56784 57148 57462 57967 61544 61836 61854 62769 66248 66612 66989 67039 71344 71736 72142 72163 76616 77714 79599 82448 82472 83692 85722 88816 92316 97968 99372 100009 106132 107016 107702 108213 114296 114924 115934 116571 123088 123672 123708 124501 125538 132496 133224 133978 134078 143472 144284 144326 153232 155428 159198 161553 164944 167384 171444 173901 184632 185731 198744 200018 200967 201117 212264 214032 215404 216426 216489 228592 229848 231868 233142 247344 247416 249002 251076 252497 266448 267956 268156 271999 288568 288652 300027 310856 314333 318396 323106 334768 342888 347802 369264 371462 373503 397488 400036 401934 402234 424528 430808 432852 432978 459696 463736 466284 468923 469273 494832 498004 502152 504994 505141 535912 536312 543998 557193 577136 577304 600054 621712 628666 636792 646212 685776 695604 700063 742924 747006 757491 800072 803868 804468 809021 815997 861616 865704 865956 870857 871507 927472 932568 937846 938546 942999 996008 1004304 1009988 1010282 1071824 1072624 1087996 1114386 1154608 1200108 1257332 1273584 1292424 1300117 1391208 1400126 1406769 1407819 1485848 1494012 1514982 1515423 1600144 1607736 1608936 1618042 1618513 1631994 1731408 1731912 1741714 1743014 1767479 1865136 1875692 1877092 1885998 1992016 2019976 2020564 2100189 2175992 2200331 2228772 2400216 2427063 2514664 2584848 2600234 2612571 2614521 2782416 2800252 2813538 2815638 2971696 2988024 3029964 3030846 3215472 3217872 3236084 3237026 3263988 3282461 3284911 3463824 3483428 3486028 3534958 3535987 3751384 3754184 3771996 3900351 4039952 4041128 4086329 4200378 4351984 4400662 4457544 4800432 4854126 4855539 5029328 5200468 5225142 5229042 5302437 5600504 5627076 5631276 5663147 5976048 6059928 6061692 6095999 6100549 6472168 6474052 6527976 6564922 6569822 6600993 6966856 6972056 7069916 7071974 7502768 7508368 7543992 7800702 8082256 8172658 8400756 8801324 8915088 9100819 9708252 9711078 9847383 9854733 10400936 10450284 10458084 10517273 10604874 10607961 11201008 11254152 11262552 11326294 11329591 12119856 12123384 12191998 12201098 12258987 12944336 12948104 13055952 13129844 13139644 13201986 13933712 13944112 14139832 14143948 15087984 15402317 15601404 16345316 16801512 16989441 17602648 18201638 18287997 18301647 19416504 19422156 19694766 19709466 20801872 20900568 20916168 21034546 21209748 21215922 22508304 22525104 22652588 22659182 22977227 24246768 24383996 24402196 24517974 25896208 26259688 26279288 26403972 27302457 28279664 28287896 28604303 30804634 31202808 31551819 32690632 33603024 33978882 33988773 35205296 36403276 36575994 36603294 38833008 38844312 39389532 39418932 39642029 41801136 41832336 42069092 42419496 42431844 42671993 42703843 45305176 45318364 45954454 46206951 48767992 48804392 49035948 49350281 52519376 52558576 52807944 53122277 54604914 56575792 57208606 61609268 62405616 63103638 65381264 67957764 67977546 68931681 72806552 73151988 73206588 73620911 77688624 78779064 78837864 79284058 79307137 84138184 84838992 84863688 85343986 85407686 85812909 90610352 90636728 91908908 92413902 97535984 97608784 98071896 98700562 105615888 106244554 107816219 109209828 114417212 118926087 123218536 126207276 128015979 128111529 135915528 135955092 136724549 137863362 145613104 146303976 146413176 147241822 148050843 157558128 157675728 158568116 158614274 159366831 168276368 169727376 170687972 170815372 171625818 181273456 183817816 184827804 196143792 197401124 200230121 212489108 215632438 218419656 220862733 228834424 237852174 237921411 246437072 252414552 256031958 256223058 271831056 271910184 273449098 275726724 277494203 292607952 292826352 294483644 296101686 298703951 317136232 317228548 318733662 323448657 341375944 341630744 343251636 345451967 367635632 369655608 371855939 394802248 400460242 410173647 424978216 431264876 436839312 441725466 457668848 475704348 475842822 504829104 512063916 512446116 515346377 543820368 546898196 551453448 554988406 555149959 588967288 592203372 597407902 600690363 634272464 634457096 637467324 641553653 646897314 682751888 683261488 686503272 690903934 739311216 743711878 789604496 800920484 820347294 832482609 849956432 862529752 883450932 896111853 951408696 951685644 957071843 1024127832 1024892232 1030692754 1036355901 1093796392 1102906896 1109976812 1110299918 1115567817 1177934576 1184406744 1194815804 1201380726 1268914192 1274934648 1283107306 1293794628 1373006544 1381807868 1401610847 1487423756 1546039131 1601840968 1640694588 1664965218 1665449877 1725059504 1766901864 1792223706 1902817392 1903371288 1914143686 1924660959 2048255664 2049784464 2061385508 2072711802 2187592784 2219953624 2220599836 2231135634 2368813488 2389631608 2402761452 2418163769 2549869296 2566214612 2587589256 2602991573 2763615736 2803221694 2871215529 2974847512 3092078262 3203681936 3281389176 3329930436 3330899754 3533803728 3584447412 3607424639 3806742576 3828287372 3849321918 4122771016 4145423604 4204832541 4439907248 4441199672 4462271268 4490875571 4779263216 4805522904 4836327538 5132429224 5175178512 5205983146 5527231472 5606443388 5742431058 5949695024 6184156524 6562778352 6659860872 6661799508 6699502901 7168894824 7214849278 7254491307 7656574744 7698643836 7808974719 8245542032 8290847208 8340197489 8409665082 8882399344 8924542536 8981751142 9611045808 9672655076 10264858448 10411966292 10822273917 11212886776 11484862116 12368313048 13319721744 13323599016 13399005802 13472626713 14337789648 14429698556 14508982614 15313149488 15397287672 15617949438 16581694416 16680394978 16819330164 16927146383 17849085072 17963502284 18220941011 19345310152 20098508703 20823932584 21644547834 22425773552 22969724232 24736626096 25020592467 26647198032 26798011604 26945253426 28859397112 29017965228 30794575344 31235898876 31436128997 33360789956 33638660328 33854292766 35927004568 36441882022 38690620304 40197017406 41647865168 43289095668 45939448464 46896520307 50041184934 50781439149 53596023208 53890506852 54662823033 57718794224 58035930456 58381382423 62471797752 62872257994 66721579912 67277320656 67708585532 71854009136 72883764044 80394034812 86578191336 93793040614 94308386991 100082369868 101562878298 107192046416 107781013704 109325646066 116071860912 116762764846 124943595504 125744515988 133443159824 135417171064 140689560921 145767528088 160788069624 173156382672 175144147269 187586081228 188616773982 200164739736 203125756596 215562027408 218651292132 220052902979 233525529692 251489031976 270834342128 281379121842 291535056176 321576139248 350288294538 375172162456 377233547964 400329479472 406251513192 408669676961 437302584264 440105805958 467051059384 502978063952 562758243684 660158708937 700576589076 750344324912 754467095928 812503026384 817339353922 874605168528 880211611916 934102118768 1125516487368 1226009030883 1320317417874 1401153178152 1508934191856 1634678707844 1760423223832 2251032974736 2452018061766 2640634835748 2802306356304 2860687738727 3269357415688 3520846447664 4904036123532 5281269671496 5721375477454 6538714831376 8582063216181 9808072247064 10562539342992 11442750954908 17164126432362 19616144494128 22885501909816 34328252864724 45771003819632 68656505729448 137313011458896
- Sum of all divisors σ(n): 458274779251200
- Sum of proper divisors (its aliquot sum) s(n): 320961767792304
- 137313011458896 is an abundant number, because the sum of its proper divisors (320961767792304) is greater than itself. Its abundance is 183648756333408
Bases of 137313011458896
- Binary: 111110011100010101011010100010101100011010100002
- Hexadecimal: 0x7CE2AD456350
- Base-36: 1CO8Q5PEMO
Squares and roots of 137313011458896
- 137313011458896 squared (1373130114588962) is 18854863115910904202297538816
- 137313011458896 cubed (1373130114588963) is 2589018035090989528189078467531866348507136
-
The
square root of 137313011458896 is 11718063.4688030255 -
The
cube root of 137313011458896 is 51590.5982433553
Scales and comparisons
How big is 137313011458896?- 137,313,011,458,896 seconds is equal to 4,366,129 years, 1 week, 2 days, 23 hours, 1 minute, 36 seconds.
-
To count from 1 to 137,313,011,458,896 would take you about ten million, nine hundred fifteen thousand, three hundred twenty-two 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 137313011458896 cubic inches would be around 4299.2 feet tall.
Recreational maths with 137313011458896
- 137313011458896 backwards is 698854110313731
- The number of decimal digits it has is: 15
- The sum of 137313011458896's digits is 60
- More coming soon!
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The information we have on file for 137313011458896 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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