137289665416896
137,289,665,416,896 is an even composite number composed of six prime numbers multiplied together.
What does the number 137289665416896 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
137289665416896 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 137289665416896:
26 × 33 × 312 × 432 × 61 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 31 × 43 × 43 × 61 × 733)See below for interesting mathematical facts about the number 137289665416896 from the Numbermatics database.
Names of 137289665416896
- Cardinal: 137289665416896 can be written as One hundred thirty-seven trillion, two hundred eighty-nine billion, six hundred sixty-five million, four hundred sixteen thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.37289665416896 × 1014
Factors of 137289665416896
Divisors of 137289665416896
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 43 48 54 61 62 64 72 86 93 96 108 122 124 129 144 172 183 186 192 216 244 248 258 279 288 344 366 372 387 432 488 496 516 549 558 576 688 732 733 744 774 837 864 961 976 992 1032 1098 1116 1161 1333 1376 1464 1466 1488 1548 1647 1674 1728 1849 1891 1922 1952 1984 2064 2196 2199 2232 2322 2623 2666 2752 2883 2928 2932 2976 3096 3294 3348 3698 3782 3844 3904 3999 4128 4392 4398 4464 4644 5246 5332 5547 5673 5766 5856 5864 5952 6192 6588 6597 6696 7396 7564 7688 7869 7998 8256 8649 8784 8796 8928 9288 10492 10664 11094 11346 11532 11712 11728 11997 12384 13176 13194 13392 14792 15128 15376 15738 15996 16641 17019 17298 17568 17592 17856 18576 19791 20984 21328 22188 22692 22723 23064 23456 23607 23994 24768 25947 26352 26388 26784 29584 30256 30752 31476 31519 31992 33282 34038 34596 35136 35184 35991 37152 39582 41323 41968 42656 44376 44713 45384 45446 46128 46912 47214 47988 49923 51057 51894 52704 52776 53568 57319 58621 59168 60512 61504 62952 63038 63984 66564 68076 68169 69192 70368 70821 71982 74304 79164 81313 82646 83936 85312 88752 89426 90768 90892 92256 94428 94557 95976 99846 102114 103788 105408 105552 112789 114638 117242 118336 121024 123969 125904 126076 127968 133128 134139 136152 136338 138384 140736 141642 143964 158328 162626 165292 167872 171957 175863 177504 178852 181536 181784 184512 188856 189114 191952 199692 204228 204507 207576 211104 225578 229276 234484 243939 247938 251808 252152 255936 266256 268278 272304 272676 276768 283284 283671 287928 316656 325252 330584 338367 343914 351726 355008 357704 363072 363568 371907 377712 378228 383904 399384 402417 408456 409014 415152 422208 451156 458552 468968 487878 495876 503616 504304 515871 527589 532512 536556 544608 545352 553536 566568 567342 575856 613521 633312 650504 661168 676734 687828 703452 704413 715408 727136 731817 743814 755424 756456 767808 798768 804834 816912 818028 830304 851013 902312 917104 937936 975756 977089 991752 1008608 1015101 1031742 1055178 1065024 1073112 1089216 1090704 1115721 1133136 1134684 1151712 1207251 1227042 1266624 1301008 1322336 1353468 1355317 1375656 1386103 1406904 1408826 1430816 1454272 1463634 1487628 1510848 1512912 1547613 1582767 1597536 1609668 1633824 1636056 1660608 1702026 1776889 1804624 1834208 1875872 1922659 1951512 1954178 1983504 2017216 2030202 2063484 2110356 2113239 2146224 2181408 2195451 2231442 2266272 2269368 2303424 2414502 2454084 2520703 2602016 2644672 2706936 2710634 2751312 2772206 2813808 2817652 2861632 2927268 2931267 2975256 3025824 3045303 3095226 3165534 3195072 3219336 3267648 3272112 3404052 3496459 3553778 3609248 3668416 3751744 3845318 3903024 3908356 3967008 4060404 4065951 4126968 4158309 4220712 4226478 4292448 4362816 4390902 4462884 4532544 4538736 4829004 4908168 5041406 5204032 5330667 5413872 5421268 5502624 5544412 5627616 5635304 5767977 5854536 5862534 5950512 6051648 6090606 6190452 6331068 6339717 6438672 6544224 6808104 6992918 7107556 7218496 7562109 7690636 7806048 7816712 7934016 8120808 8131902 8253936 8316618 8441424 8452956 8584896 8781804 8793801 8925768 9077472 9658008 9816336 10082812 10489377 10661334 10827744 10842536 11005248 11088824 11255232 11270608 11535954 11709072 11725068 11901024 12181212 12197853 12380904 12474927 12662136 12679434 12877344 13088448 13616208 13985836 14215112 15124218 15381272 15612096 15633424 15992001 16241616 16263804 16507872 16633236 16882848 16905912 17303931 17563608 17587602 17851536 18154944 19019151 19316016 19632672 20165624 20978754 21322668 21655488 21685072 22177648 22541216 22686327 23071908 23418144 23450136 23802048 24362424 24395706 24761808 24949854 25324272 25358868 25754688 26381403 27232416 27971672 28430224 30248436 30289759 30762544 31266848 31468131 31984002 32483232 32527608 33015744 33266472 33765696 33811824 34607862 35127216 35175204 35703072 36593559 37424781 38038302 38632032 39265344 40331248 41957508 42014827 42645336 42969193 43370144 44355296 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12874124664 13085175888 14781402392 15377426682 15608192976 15629515644 15873472704 16629077691 17165499552 17446901184 17857656792 18150405264 18562691376 20503235576 20810923968 20839354192 22172103588 23066140023 23412289464 23444273466 23810209056 24200540352 24750255168 25748249328 26170351776 29562804784 30754853364 31216385952 31259031288 33258155382 34330999104 35166410199 35715313584 36300810528 37125382752 41006471152 41678708384 44344207176 46132280046 46824578928 46888546932 47620418112 49887233073 51496498656 52340703552 59125609568 61509706728 62432771904 62518062576 66516310764 69198420069 70332820398 71430627168 72601621056 74250765504 79450037857 82012942304 83357416768 88688414352 92264560092 93649157856 93777093864 99774466146 102992997312 118251219136 123019413456 125036125152 133032621528 138396840138 140665640796 142861254336 158900075714 164025884608 177376828704 184529120184 187298315712 187554187728 199548932292 238350113571 246038826912 250072250304 266065243056 276793680276 281331281592 317800151428 354753657408 369058240368 375108375456 399097864584 476700227142 492077653824 532130486112 553587360552 562662563184 635600302856 715050340713 738116480736 750216750912 798195729168 953400454284 1064260972224 1107174721104 1125325126368 1271200605712 1430100681426 1476232961472 1596391458336 1906800908568 2145151022139 2214349442208 2250650252736 2542401211424 2860201362852 3192782916672 3813601817136 4290302044278 4428698884416 5084802422848 5720402725704 7627203634272 8580604088556 11440805451408 15254407268544 17161208177112 22881610902816 34322416354224 45763221805632 68644832708448 137289665416896
- Sum of all divisors σ(n): 434561576859360
- Sum of proper divisors (its aliquot sum) s(n): 297271911442464
- 137289665416896 is an abundant number, because the sum of its proper divisors (297271911442464) is greater than itself. Its abundance is 159982246025568
Bases of 137289665416896
- Binary: 111110011011101001111011011110100001110110000002
- Hexadecimal: 0x7CDD3DBD0EC0
- Base-36: 1CNY022PC0
Squares and roots of 137289665416896
- 137289665416896 squared (1372896654168962) is 18848452230283249533482274816
- 137289665416896 cubed (1372896654168963) is 2587697700321934524559353390437203081691136
-
The
square root of 137289665416896 is 11717067.2703068493 -
The
cube root of 137289665416896 is 51587.6742559715
Scales and comparisons
How big is 137289665416896?- 137,289,665,416,896 seconds is equal to 4,365,386 years, 36 weeks, 1 day, 3 hours, 21 minutes, 36 seconds.
-
To count from 1 to 137,289,665,416,896 would take you about ten million, nine hundred thirteen thousand, four hundred sixty-six 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 137289665416896 cubic inches would be around 4299 feet tall.
Recreational maths with 137289665416896
- 137289665416896 backwards is 698614566982731
- The number of decimal digits it has is: 15
- The sum of 137289665416896's digits is 81
- More coming soon!
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The information we have on file for 137289665416896 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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