34137042268032
34,137,042,268,032 is an even composite number composed of five prime numbers multiplied together.
What does the number 34137042268032 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
34137042268032 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 34137042268032:
27 × 35 × 11 × 312 × 473
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 31 × 31 × 47 × 47 × 47)See below for interesting mathematical facts about the number 34137042268032 from the Numbermatics database.
Names of 34137042268032
- Cardinal: 34137042268032 can be written as Thirty-four trillion, one hundred thirty-seven billion, forty-two million, two hundred sixty-eight thousand and thirty-two.
Scientific notation
- Scientific notation: 3.4137042268032 × 1013
Factors of 34137042268032
Divisors of 34137042268032
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 47 48 54 62 64 66 72 81 88 93 94 96 99 108 124 128 132 141 144 162 176 186 188 192 198 216 243 248 264 279 282 288 297 324 341 352 372 376 384 396 423 432 486 496 517 528 558 564 576 594 648 682 704 744 752 792 837 846 864 891 961 972 992 1023 1034 1056 1116 1128 1152 1188 1269 1296 1364 1408 1457 1488 1504 1551 1584 1674 1692 1728 1782 1922 1944 1984 2046 2068 2112 2209 2232 2256 2376 2511 2538 2592 2673 2728 2883 2914 2976 3008 3069 3102 3168 3348 3384 3456 3564 3807 3844 3888 3968 4092 4136 4224 4371 4418 4464 4512 4653 4752 5022 5076 5184 5346 5456 5766 5828 5952 6016 6138 6204 6336 6627 6696 6768 7128 7533 7614 7688 7776 8184 8272 8649 8742 8836 8928 9024 9207 9306 9504 10044 10152 10368 10571 10692 10912 11421 11532 11656 11904 12276 12408 12672 13113 13254 13392 13536 13959 14256 15066 15228 15376 15552 16027 16368 16544 17298 17484 17672 17856 18048 18414 18612 19008 19881 20088 20304 21142 21384 21824 22842 23064 23312 24299 24552 24816 25947 26226 26508 26784 27072 27621 27918 28512 30132 30456 30752 31104 31713 32054 32736 33088 34596 34968 35344 35712 36828 37224 38016 39339 39762 40176 40608 41877 42284 42768 43648 45167 45684 46128 46624 48081 48598 49104 49632 51894 52452 53016 53568 54144 55242 55836 57024 59643 60264 60912 61504 63426 64108 65472 66176 68479 69192 69936 70688 72897 73656 74448 77841 78678 79524 80352 81216 82863 83754 84568 85536 90334 91368 92256 93248 95139 96162 97196 98208 99264 103788 103823 104904 106032 107136 110484 111672 114048 118017 119286 120528 121824 123008 125631 126852 128216 130944 135501 136958 138384 139872 141376 144243 145794 147312 148896 155682 157356 159048 160704 162432 165726 167508 169136 171072 178929 180668 182736 184512 186496 190278 192324 194392 196416 198528 205437 207576 207646 209808 212064 218691 220968 223344 233523 236034 238572 241056 243648 251262 253704 256432 271002 273916 276768 279744 282752 285417 288486 291588 294624 297792 311364 311469 314712 318096 321408 331452 335016 338272 342144 354051 357858 361336 365472 369024 380556 384648 388784 392832 406503 410874 415152 415292 419616 424128 432729 437382 441936 446688 467046 472068 477144 482112 487296 496837 502524 507408 512864 536787 542004 547832 553536 559488 570834 576972 583176 589248 595584 616311 622728 622938 629424 636192 656073 662904 670032 676544 708102 715716 722672 730944 753269 761112 769296 777568 813006 821748 830304 830584 839232 848256 856251 865458 874764 883872 893376 934092 934407 944136 954288 964224 993674 1005048 1014816 1025728 1073574 1084008 1095664 1107072 1141668 1142053 1153944 1166352 1178496 1219509 1232622 1245456 1245876 1258848 1272384 1298187 1312146 1325808 1340064 1353088 1416204 1431432 1445344 1461888 1490511 1506538 1522224 1538592 1555136 1626012 1643496 1660608 1661168 1678464 1712502 1730916 1749528 1767744 1786752 1848933 1868184 1868814 1888272 1908576 1968219 1987348 2010096 2029632 2051456 2122849 2147148 2168016 2191328 2259807 2283336 2284106 2307888 2332704 2439018 2465244 2490912 2491752 2517696 2544768 2568753 2596374 2624292 2651616 2680128 2803221 2832408 2862864 2890688 2981022 3013076 3044448 3077184 3110272 3218513 3252024 3286992 3321216 3322336 3425004 3426159 3461832 3499056 3535488 3658527 3697866 3736368 3737628 3776544 3817152 3894561 3936438 3974696 4020192 4059264 4245698 4294296 4336032 4382656 4471533 4519614 4566672 4568212 4615776 4665408 4878036 4930488 4981824 4983504 5035392 5137506 5192748 5248584 5303232 5360256 5546799 5606442 5664816 5725728 5781376 5904657 5962044 6026152 6088896 6154368 6368547 6437026 6504048 6573984 6644672 6779421 6850008 6852318 6923664 6998112 7317054 7395732 7472736 7475256 7553088 7634304 7789122 7872876 7949392 8040384 8409663 8491396 8588592 8672064 8765312 8943066 9039228 9133344 9136424 9231552 9330816 9655539 9756072 9860976 9963648 9967008 10275012 10278477 10385496 10497168 10606464 10975581 11093598 11212884 11329632 11451456 11809314 11924088 12052304 12177792 12737094 12874052 13008096 13147968 13289344 13414599 13558842 13700016 13704636 13847328 13996224 14634108 14791464 14945472 14950512 15106176 15578244 15745752 15898784 16080768 16640397 16819326 16982792 17177184 17344128 17886132 18078456 18266688 18272848 18463104 19105641 19311078 19512144 19721952 19934016 20338263 20550024 20556954 20770992 20994336 21951162 22187196 22425768 22659264 22902912 23351339 23618628 23848176 24104608 25228989 25474188 25748104 26016192 26295936 26829198 27117684 27400032 27409272 27694656 27992448 28966617 29268216 29582928 29890944 29901024 30835431 31156488 31491504 31797568 33280794 33638652 33965584 34354368 35403643 35772264 36156912 36533376 36545696 38211282 38622156 39024288 39443904 39868032 40243797 40676526 41100048 41113908 41541984 41988672 43902324 44374392 44851536 45318528 46702678 47237256 47696352 48209216 50457978 50948376 51496208 52032384 53658396 54235368 54800064 54818544 55389312 57316923 57933234 58536432 59165856 59802048 61014789 61670862 62312976 62983008 63595136 66561588 67277304 67931168 68708736 70054017 70807286 71544528 72313824 73091392 76422564 77244312 78048576 78887808 80487594 81353052 82200096 82227816 83083968 83977344 86899851 87804648 88748784 89703072 92506293 93405356 94474512 95392704 96418432 99773903 100915956 101896752 102992416 106210929 107316792 108470736 109600128 109637088 114633846 115866468 117072864 118331712 119604096 120731391 122029578 123341724 124625952 125966016 133123176 134554608 135862336 140108034 141614572 143089056 144627648 146182784 152845128 154488624 156097152 160975188 162706104 164400192 164455632 166167936 171950769 173799702 175609296 177497568 179406144 183044367 185012586 186810712 188949024 190785408 199547806 201831912 203793504 205984832 210162051 212421858 214633584 216941472 219274176 229267692 231732936 234145728 236663424 241462782 244059156 246683448 249251904 251932032 260699553 266246352 269109216 271724672 277518879 280216068 283229144 286178112 289255296 299321709 305690256 308977248 318632787 321950376 325412208 328800384 328911264 343901538 347599404 351218592 354995136 358812288 366088734 370025172 373621424 377898048 399095612 403663824 407587008 411969664 420324102 424843716 429267168 433882944 438548352 458535384 463465872 468291456 482925564 488118312 493366896 498503808 515852307 521399106 532492704 538218432 555037758 560432136 566458288 572356224 598643418 611380512 617954496 630486153 637265574 643900752 650824416 657822528 687803076 695198808 702437184 709990272 732177468 740050344 747242848 755796096 782098659 798191224 807327648 815174016 840648204 849687432 858534336 867765888 897965127 917070768 926931744 955898361 965851128 976236624 986733792 1031704614 1042798212 1064985408 1076436864 1097512933 1110075516 1120864272 1132916576 1197286836 1222761024 1235908992 1260972306 1274531148 1287801504 1301648832 1315645056 1375606152 1390397616 1404874368 1464354936 1480100688 1494485696 1564197318 1596382448 1614655296 1681296408 1699374864 1717068672 1795930254 1834141536 1853863488 1891458459 1911796722 1931702256 1952473248 1973467584 2063409228 2085596424 2129970816 2195025866 2220151032 2241728544 2265833152 2394573672 2445522048 2521944612 2549062296 2575603008 2603297664 2693895381 2751212304 2780795232 2867695083 2928709872 2960201376 2988971392 3128394636 3192764896 3229310592 3292538799 3362592816 3398749728 3591860508 3668283072 3707726976 3782916918 3823593444 3863404512 3904946496 3946935168 4126818456 4171192848 4390051732 4440302064 4483457088 4531666304 4789147344 5043889224 5098124592 5151206016 5387790762 5502424608 5561590464 5674375377 5735390166 5857419744 5920402752 6256789272 6385529792 6585077598 6725185632 6797499456 7183721016 7336566144 7565833836 7647186888 7726809024 7809892992 8081686143 8253636912 8342385696 8603085249 8780103464 8880604128 8966914176 9578294688 9877616397 10087778448 10196249184 10775581524 11004849216 11123180928 11348750754 11470780332 11714839488 11840805504 12513578544 12771059584 13170155196 13450371264 13594998912 14367442032 15131667672 15294373776 15453618048 16163372286 16507273824 16684771392 17206170498 17560206928 17761208256 19156589376 19755232794 20175556896 20392498368 21551163048 22009698432 22697501508 22941560664 23429678976 24245058429 25027157088 26340310392 26900742528 28734884064 29632849191 30263335344 30588747552 32326744572 33014547648 33369542784 34412340996 35120413856 35522416512 38313178752 39510465588 40351113792 40784996736 43102326096 45395003016 45883121328 48490116858 50054314176 52680620784 57469768128 59265698382 60526670688 61177495104 64653489144 66029095296 68824681992 70240827712 79020931176 80702227584 86204652192 88898547573 90790006032 91766242656 96980233716 100108628352 105361241568 114939536256 118531396764 121053341376 122354990208 129306978288 137649363984 140481655424 158041862352 172409304384 177797095146 181580012064 183532485312 193960467432 210722483136 237062793528 242106682752 258613956576 266695642719 275298727968 316083724704 344818608768 355594190292 363160024128 367064970624 387920934864 421444966272 474125587056 517227913152 533391285438 550597455936 632167449408 711188380584 726320048256 775841869728 948251174112 1034455826304 1066782570876 1101194911872 1264334898816 1422376761168 1551683739456 1896502348224 2133565141752 2844753522336 3103367478912 3793004696448 4267130283504 5689507044672 8534260567008 11379014089344 17068521134016 34137042268032
- Sum of all divisors σ(n): 117329054169600
- Sum of proper divisors (its aliquot sum) s(n): 83192011901568
- 34137042268032 is an abundant number, because the sum of its proper divisors (83192011901568) is greater than itself. Its abundance is 49054969633536
Bases of 34137042268032
- Binary: 1111100001100001001100100011100101111100000002
- Hexadecimal: 0x1F0C26472F80
- Base-36: C3MC9KO00
Squares and roots of 34137042268032
- 34137042268032 squared (341370422680322) is 1165337654809403354529153024
- 34137042268032 cubed (341370422680323) is 39781180778757886602376586925872951328768
-
The
square root of 34137042268032 is 5842691.3548494071 -
The
cube root of 34137042268032 is 32439.5855218605
Scales and comparisons
How big is 34137042268032?- 34,137,042,268,032 seconds is equal to 1,085,452 years, 18 weeks, 1 day, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 34,137,042,268,032 would take you about two million, seven hundred thirteen thousand, six hundred thirty 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 34137042268032 cubic inches would be around 2703.3 feet tall.
Recreational maths with 34137042268032
- 34137042268032 backwards is 23086224073143
- The number of decimal digits it has is: 14
- The sum of 34137042268032's digits is 45
- More coming soon!
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The information we have on file for 34137042268032 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!
Keywords: Divisors of 34137042268032, math, Factors of 34137042268032, curriculum, school, college, exams, university, Prime factorization of 34137042268032, STEM, science, technology, engineering, physics, economics, calculator, thirty-four trillion, one hundred thirty-seven billion, forty-two million, two hundred sixty-eight thousand and thirty-two.