13048423638432
13,048,423,638,432 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13048423638432 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
13048423638432 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13048423638432:
25 × 3 × 73 × 132 × 37 × 127 × 499
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 13 × 37 × 127 × 499)See below for interesting mathematical facts about the number 13048423638432 from the Numbermatics database.
Names of 13048423638432
- Cardinal: 13048423638432 can be written as Thirteen trillion, forty-eight billion, four hundred twenty-three million, six hundred thirty-eight thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.3048423638432 × 1013
Factors of 13048423638432
Divisors of 13048423638432
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 37 39 42 48 49 52 56 74 78 84 91 96 98 104 111 112 127 147 148 156 168 169 182 196 208 222 224 254 259 273 294 296 312 336 338 343 364 381 392 416 444 481 499 507 508 518 546 588 592 624 637 672 676 686 728 762 777 784 888 889 962 998 1014 1016 1029 1036 1092 1176 1183 1184 1248 1274 1352 1372 1443 1456 1497 1524 1554 1568 1651 1776 1778 1813 1911 1924 1996 2028 2032 2058 2072 2184 2352 2366 2548 2667 2704 2744 2886 2912 2994 3048 3108 3302 3367 3493 3549 3552 3556 3626 3822 3848 3992 4056 4064 4116 4144 4368 4459 4699 4704 4732 4953 5096 5334 5408 5439 5488 5772 5988 6096 6216 6223 6253 6487 6604 6734 6986 7098 7112 7252 7644 7696 7984 8112 8232 8281 8288 8736 8918 9398 9464 9906 10101 10192 10479 10668 10878 10976 11544 11557 11976 12192 12432 12446 12506 12691 12974 13208 13377 13468 13972 14097 14196 14224 14504 15288 15392 15968 16224 16464 16562 17836 18463 18669 18759 18796 18928 19461 19812 20202 20384 20958 21336 21463 21756 23088 23114 23569 23952 24451 24843 24864 24892 25012 25382 25948 26416 26754 26936 27944 28194 28392 28448 29008 30576 32893 32928 33124 34671 35672 36926 37338 37518 37592 37856 38073 38922 39624 40404 41916 42672 42926 43512 43561 43771 45409 46176 46228 47138 47904 48902 49686 49784 50024 50764 51896 52832 53508 53872 55389 55888 56388 56784 57967 58016 61087 61152 63373 64389 65786 66248 69342 70707 71344 73353 73852 74676 75036 75184 76146 77844 79248 80808 80899 83832 84331 85344 85852 87024 87122 87542 90818 92456 94276 97804 98679 99372 99568 100048 101528 103792 107016 107744 110778 111776 112776 113568 115934 122174 126746 128778 129241 130683 131313 131572 132496 136227 138684 141414 142688 146706 147704 149352 150072 150241 150368 152292 155688 158496 161616 161798 164983 167664 168662 171157 171704 173901 174048 174244 175084 181636 183261 184912 188552 190119 195608 197358 198744 199136 200096 203056 207584 214032 221556 225552 230251 231868 240019 242697 244348 252993 253492 257556 258482 261366 262626 263144 264992 272454 277368 282828 293412 295408 298704 300144 300482 304584 306397 311376 317863 323232 323596 329966 335328 337324 342314 343408 347802 348488 350168 363272 366522 369824 377104 380238 387723 391216 394716 397488 406112 427609 428064 443112 443611 450723 451104 460502 463736 480038 485394 488696 494949 505986 506984 513471 515112 516964 522732 525252 526288 544908 554736 565656 566293 586824 590317 590816 597408 600288 600964 609168 612794 622752 635726 647192 659932 674648 684628 686816 690753 695604 696976 700336 720057 726544 733044 754208 760476 775446 782432 789432 794131 794976 823849 855218 886224 887222 901446 904687 919191 921004 927472 953589 960076 970788 977392 989898 1011972 1013968 1026942 1030224 1033928 1045464 1050504 1051687 1052576 1089816 1109472 1131312 1132586 1173648 1180634 1201928 1218336 1225588 1271452 1282827 1294384 1319864 1330833 1349296 1369256 1381506 1391208 1393952 1400672 1440114 1453088 1466088 1520952 1550892 1578864 1588262 1611757 1647698 1680133 1698879 1710436 1770951 1772448 1774444 1802892 1809374 1838382 1842008 1854944 1907178 1920152 1941576 1954784 1979796 2023944 2027936 2053884 2060448 2067856 2090928 2101008 2103374 2144779 2179632 2225041 2262624 2265172 2344801 2347296 2361268 2382393 2403856 2451176 2471547 2542904 2565654 2588768 2639728 2661666 2698592 2714061 2738512 2763012 2782416 2880228 2932176 2993263 3041904 3101784 3105277 3120247 3155061 3157728 3176524 3223514 3295396 3360266 3397758 3420872 3541902 3548888 3605784 3618748 3676764 3684016 3814356 3840304 3883152 3959592 4047888 4107768 4132219 4135712 4181856 4202016 4206748 4289558 4359264 4450082 4530344 4689602 4722536 4764786 4807712 4835271 4902352 4943094 5040399 5085808 5131308 5279456 5323332 5428122 5477024 5526024 5558917 5564832 5760456 5766943 5864352 5986526 6083808 6203568 6210554 6240494 6310122 6332809 6353048 6434337 6447028 6590792 6675123 6720532 6795516 6841744 7034403 7083804 7097776 7211568 7237496 7353528 7361809 7368032 7628712 7680608 7766304 7919184 8095776 8215536 8264438 8413496 8579116 8900164 8979789 9060688 9315831 9360741 9379204 9445072 9529572 9670542 9804704 9886188 10080798 10171616 10262616 10646664 10710037 10856244 11052048 11117834 11520912 11533886 11760931 11973052 12396657 12407136 12421108 12480988 12620244 12665618 12706096 12868674 12894056 13181584 13350246 13441064 13591032 13683488 14068806 14167608 14195552 14423136 14474992 14707056 14723618 15257424 15838368 16413607 16431072 16528876 16676751 16826992 17158232 17300829 17800328 17959578 18121376 18631662 18721482 18758408 18890144 18998427 19059144 19341084 19772376 20161596 20525232 20952841 21293328 21420074 21712488 21736939 21841729 22085427 22104096 22235668 23041824 23067772 23521862 23946104 24793314 24842216 24961976 25240488 25331236 25412192 25737348 25788112 26363168 26700492 26882128 27182064 28137612 28335216 28925533 28949984 29414112 29447236 30482413 30514848 32130111 32827214 33057752 33353502 33653984 34316464 34601658 35282793 35600656 35919156 37263324 37442964 37516816 37996854 38118288 38682168 38912419 39544752 40323192 40368601 41050464 41905682 42586656 42840148 43424976 43473878 43683458 44170854 44471336 46135544 47043724 47892208 49240821 49586628 49684432 49923952 50480976 50662472 51474696 51576224 53400984 53764256 54364128 56275224 56670432 57851066 58894472 60964826 62858523 64260222 65210817 65525187 65654428 66115504 66707004 68632928 69203316 70565586 71201312 71838312 74526648 74885928 74970259 75033632 75993708 76236576 77364336 77824838 79089504 80646384 80737202 82326517 83811364 85680296 86776599 86849952 86947756 87366916 88341708 88942672 91447239 92271088 94087448 95784416 98481642 99173256 99368864 99847904 100961952 101324944 102949392 106801968 112550448 114895249 115702132 116737257 117788944 121105803 121929652 125717046 128520444 130421634 131050374 131308856 132231008 133414008 138406632 141131172 143676624 149053296 149771856 149940518 151987416 152892103 154728672 155649676 161292768 161474404 164653034 167622728 171360592 173553198 173895512 174733832 176683416 177885344 182894478 184542176 188174896 196963284 198346512 202649888 205898784 213376891 213603936 224910777 225100896 229790498 231404264 233474514 235577888 242211606 243859304 246979551 251434092 257040888 260843268 262100748 262617712 266828016 272386933 276813264 282262344 282580207 287353248 298106592 299543712 299881036 303974832 305784206 311299352 322948808 329306068 335245456 342721184 344685747 347106396 347791024 349467664 353366832 365788956 376349792 393926568 396271369 396693024 426753782 449821554 458676309 459580996 462808528 466949028 484423212 487718608 493959102 502868184 514081776 521686536 524201496 524791813 525235424 533656032 544773866 553626528 564524688 565160414 599762072 607949664 611568412 622598704 640130673 645897616 658612136 670490912 689371494 694212792 695582048 698935328 706733664 731577912 787853136 792542738 804266743 817160799 847740621 853507564 899643108 917352618 919161992 925617056 933898056 968846424 975437216 987918204 1005736368 1028163552 1043373072 1048402992 1049583626 1070244721 1089547732 1129049376 1130320828 1188814107 1199524144 1223136824 1245197408 1280261346 1291795232 1317224272 1378742988 1388425584 1463155824 1493638237 1574375439 1575706272 1585085476 1608533486 1634321598 1695481242 1707015128 1799286216 1834705236 1838323984 1867796112 1937692848 1975836408 2011472736 2086746144 2096805984 2099167252 2140489442 2179095464 2260641656 2377628214 2399048288 2412800229 2446273648 2560522692 2634448544 2757485976 2773899583 2776851168 2926311648 2987276474 3148750878 3170170952 3210734163 3217066972 3268643196 3390962484 3414030256 3598572432 3669410472 3673542691 3676647968 3735592224 3875385696 3951672816 4198334504 4280978884 4358190928 4480914711 4521283312 4755256428 4825600458 4892547296 5121045384 5514971952 5547799166 5974552948 6297501756 6340341904 6421468326 6434133944 6537286392 6781924968 6828060512 7197144864 7338820944 7347085382 7903345632 8321698749 8396669008 8561957768 8716381856 8961829422 9042566624 9510512856 9651200916 10242090768 10455467659 11020628073 11029943904 11095598332 11949105896 12595003512 12680683808 12842936652 12868267888 13074572784 13563849936 14677641888 14694170764 16643397498 16793338016 17123915536 17923658844 19021025712 19302401832 19417297081 20484181536 20910935318 22041256146 22191196664 23898211792 25190007024 25685873304 25736535776 26149145568 27127699872 29388341528 31366402977 33286794996 34247831072 35847317688 38042051424 38604803664 38834594162 41821870636 44082512292 44382393328 47796423584 50380014048 51371746608 58251891243 58776683056 62732805954 66573589992 71694635376 77209607328 77669188324 83643741272 88165024584 88764786656 102743493216 116503782486 117553366112 125465611908 133147179984 135921079567 143389270752 155338376648 167287482544 176330049168 233007564972 250931223816 266294359968 271842159134 310676753296 334574965088 352660098336 407763238701 466015129944 501862447632 543684318268 621353506592 815526477402 932030259888 1003724895264 1087368636536 1631052954804 1864060519776 2174737273072 3262105909608 4349474546144 6524211819216 13048423638432
- Sum of all divisors σ(n): 44861644800000
- Sum of proper divisors (its aliquot sum) s(n): 31813221161568
- 13048423638432 is an abundant number, because the sum of its proper divisors (31813221161568) is greater than itself. Its abundance is 18764797523136
Bases of 13048423638432
- Binary: 101111011110000100101010011111100101101000002
- Hexadecimal: 0xBDE12A7E5A0
- Base-36: 4MID2J82O
Squares and roots of 13048423638432
- 13048423638432 squared (130484236384322) is 170261359447990993067418624
- 13048423638432 cubed (130484236384323) is 2221642347332733212833531410048158957568
-
The
square root of 13048423638432 is 3612260.1842104341 -
The
cube root of 13048423638432 is 23542.5056208393
Scales and comparisons
How big is 13048423638432?- 13,048,423,638,432 seconds is equal to 414,899 years, 26 weeks, 3 days, 17 hours, 47 minutes, 12 seconds.
-
To count from 1 to 13,048,423,638,432 would take you about one million, thirty-seven thousand, two hundred forty-eight 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 13048423638432 cubic inches would be around 1961.9 feet tall.
Recreational maths with 13048423638432
- 13048423638432 backwards is 23483632484031
- The number of decimal digits it has is: 14
- The sum of 13048423638432's digits is 51
- More coming soon!
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The information we have on file for 13048423638432 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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