13536130991328
13,536,130,991,328 is an even composite number composed of seven prime numbers multiplied together.
13536130991328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13536130991328:
25 × 34 × 112 × 19 × 292 × 37 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 19 × 29 × 29 × 37 × 73)See below for interesting mathematical facts about the number 13536130991328 from the Numbermatics database.
Names of 13536130991328
- Cardinal: 13536130991328 can be written as Thirteen trillion, five hundred thirty-six billion, one hundred thirty million, nine hundred ninety-one thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3536130991328 × 1013
Factors of 13536130991328
Divisors of 13536130991328
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 29 32 33 36 37 38 44 48 54 57 58 66 72 73 74 76 81 87 88 96 99 108 111 114 116 121 132 144 146 148 152 162 171 174 176 198 209 216 219 222 228 232 242 261 264 288 292 296 297 304 319 324 333 342 348 352 363 396 407 418 432 438 444 456 464 484 513 522 528 551 584 592 594 608 627 638 648 657 666 684 696 703 726 783 792 803 814 836 841 864 876 888 891 912 928 957 968 999 1026 1044 1056 1073 1089 1102 1168 1184 1188 1221 1254 1276 1296 1314 1332 1368 1387 1392 1406 1452 1539 1566 1584 1606 1628 1653 1672 1682 1752 1776 1782 1824 1881 1914 1936 1971 1998 2052 2088 2109 2117 2146 2178 2204 2299 2336 2349 2376 2409 2442 2508 2523 2552 2592 2628 2664 2701 2736 2774 2784 2812 2871 2904 2997 3078 3132 3168 3212 3219 3256 3267 3306 3344 3364 3504 3509 3552 3564 3663 3762 3828 3872 3942 3996 4104 4161 4176 4218 4234 4292 4356 4408 4477 4598 4698 4752 4818 4884 4959 5016 5046 5104 5256 5328 5402 5472 5548 5624 5643 5742 5808 5913 5994 6061 6156 6264 6327 6351 6424 6438 6512 6534 6612 6688 6728 6897 7008 7018 7128 7227 7326 7524 7569 7656 7733 7884 7992 8103 8208 8322 8352 8436 8468 8584 8613 8712 8816 8833 8954 9196 9251 9396 9504 9636 9657 9768 9801 9918 10032 10092 10208 10512 10527 10656 10804 10989 11096 11248 11286 11484 11616 11803 11826 11988 12122 12312 12483 12528 12654 12702 12848 12876 13024 13068 13224 13431 13456 13794 14036 14256 14454 14652 14877 15048 15138 15257 15312 15466 15768 15979 15984 16206 16416 16644 16872 16929 16936 17168 17226 17424 17632 17666 17908 18183 18392 18502 18792 18981 19053 19272 19314 19536 19602 19836 20064 20184 20387 20691 21024 21054 21608 21681 21978 22192 22496 22572 22707 22968 23199 23287 23606 23652 23976 24244 24309 24624 24966 25056 25308 25404 25696 25752 25839 26136 26448 26499 26862 26912 27588 27753 28072 28512 28908 28971 29304 29711 29754 30096 30276 30514 30624 30932 31117 31536 31581 31958 31968 32412 32967 33288 33744 33858 33872 34336 34452 34848 35332 35409 35816 36366 36784 37004 37449 37584 37962 38106 38544 38628 39072 39204 39672 40223 40293 40368 40774 41382 42108 43216 43362 43956 44384 44631 45144 45414 45771 45936 46398 46574 47212 47304 47937 47952 48488 48618 49248 49932 50616 50808 51319 51504 51678 52272 52896 52998 53724 54549 55176 55506 56144 56943 57159 57816 57942 58608 59422 59508 60192 60552 61028 61161 61393 61864 62073 62234 63072 63162 63916 64824 65043 65934 66576 66671 67488 67716 67744 68121 68904 69597 69861 70664 70818 71632 72732 72927 73568 74008 74898 75168 75924 76212 77088 77256 78329 78408 79344 79497 80446 80586 80736 81548 82764 83259 84216 85063 86432 86724 86913 87912 89133 89262 90288 90828 91542 91872 92796 93148 93351 94424 94608 94743 95874 95904 96976 97236 99864 101232 101616 101761 102638 103008 103356 104544 105996 106227 107448 109098 110352 111012 112288 112347 113886 114318 115632 115884 117216 118844 119016 120669 120879 121104 122056 122322 122786 123728 124146 124468 126324 127832 129648 129833 130086 131868 133152 133342 135432 136242 137313 137808 139194 139722 141328 141636 143264 143811 145464 145854 148016 149796 151848 152424 153957 154512 156658 156816 158688 158994 160892 161172 163096 163647 165528 166518 167827 168432 170126 171477 173448 173826 175769 175824 178266 178524 180576 181656 183084 183483 184179 185592 186219 186296 186702 188848 189216 189486 191748 193952 194472 199728 200013 202464 203232 203522 205276 206712 208791 209583 211992 212454 214896 218196 218781 220704 222024 224257 224694 227772 228636 231264 231768 234987 237688 238032 238491 241338 241758 242208 244112 244644 245572 247456 248292 248936 249777 252648 255189 255664 256157 259296 259666 260172 263736 266684 267399 270864 272484 274626 275616 278388 279444 280053 282656 283272 284229 287622 290928 291708 296032 299592 303696 304848 305283 307914 309024 313316 313632 317988 318681 321784 322344 326192 326821 327294 331056 333036 335654 336864 340252 342287 342954 346896 347652 351538 351648 356532 357048 362007 362637 363312 366168 366966 368358 371184 372438 372592 373404 377696 378972 383496 388944 389499 399456 400026 407044 410552 411939 413424 417582 419166 423984 424908 429792 431433 436392 437562 442453 444048 448514 449388 455544 457272 461871 463536 469974 475376 476064 476982 482676 483516 488224 489288 490941 491144 496584 497872 499554 503481 505296 510378 511328 512314 519332 520344 527307 527472 533368 534798 541728 544968 549252 550449 552537 556776 558888 560106 564509 566544 568458 575244 581856 583416 591223 599184 600039 607392 609696 610566 615828 626373 626632 628749 635976 637362 643568 644688 652384 653642 654588 662112 666072 671308 672771 675323 680504 684574 685908 693792 695304 703076 704961 713064 714096 715473 724014 725274 726624 732336 733932 736716 742368 744876 745184 746808 749331 757944 765567 766992 768471 777888 778998 800052 802197 814088 821104 823878 826848 835164 838332 840159 847968 849816 861619 862866 872784 875124 884906 888096 897028 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79565328 80365554 80655264 81289296 81775476 82715424 82994868 83985624 84131784 85136112 85300281 86318558 86405616 87605694 87921504 88805772 89142636 90363768 91450458 92806032 93054852 94124448 94483827 95569848 95778126 96879024 97246512 98224566 98578656 99353584 99947804 101514384 101659239 102649096 104055248 104258016 104406786 105890004 107154072 108751896 109033968 109402326 110241648 110659824 110900988 111772782 111980832 112175712 113733708 113898312 115480233 116807592 117062154 118407696 118856848 120485024 120548331 121933944 122663214 124073136 125978436 127426464 127704168 129477837 130966088 131408541 131882256 133018848 133208658 133713954 135545652 139209048 139582278 141142507 141186672 142872096 143075966 143354772 145002528 145318536 145869768 147336849 147867984 149030376 149921706 151644944 151864416 153973644 155743456 156082872 156610179 159130656 160731108 162578592 163550952 165989736 167659173 167971248 168263568 170272224 170600562 172637116 172811232 175211388 175593231 177611544 178285272 180078371 180727536 182900916 183994821 185612064 186109704 188967654 191139696 191556252 193758048 194493024 196449132 198707168 199812987 199895608 200570931 203028768 203318478 205298192 208110496 208813572 211780008 214308144 214613949 217503792 218067936 218804652 220483296 221319648 221801976 223545564 224882559 227467416 227796624 230960466 233615184 234124308 236815392 237713696 241096662 243867888 245326428 248146272 251956872 255408336 255900843 258955674 261932176 262817082 263764512 266417316 267427908 271091304 274856461 278418096 279164556 282285014 282373344 286151932 286709544 290637072 291739536 294673698 295735968 298060752 299843412 303289888 304977717 307947288 312165744 313220358 321462216 327101904 331979472 335318346 335942496 336527136 341201124 345274232 346440699 350422776 351186462 355223088 356570544 360156742 361455072 365801832 367989642 372219408 377935308 382279392 383112504 388433511 392898264 394225623 399625974 399791216 401141862 406636956 410596384 417627144 423427521 423560016 428616288 429227898 435007584 437609304 442010547 443603952 447091128 449765118 454934832 455593248 461920932 467230368 468248616 474752069 482193324 487735776 490652856 502977519 503913744 510816672 511801686 517911348 523864352 525634164 526779693 532834632 534855816 540235113 542182608 549712922 556836192 558329112 564570028 572303864 573419088 581274144 583479072 589347396 596121504 599686824 601712793 609955434 615894576 624331488 626440716 642924432 643841847 654203808 663958944 670636692 674647677 682402248 690548464 692881398 700845552 702372924 710446176 713141088 720313484 731603664 735979284 744438816 755870616 766225008 767702529 776867022 785796528 788451246 799251948 799582432 802283724 813273912 824569383 835254288 846855042 847120032 858455796 875218608 884021094 887207904 894182256 899530236 909869664 923841864 936497232 949504138 964386648 981305712 1005955038 1007827488 1023603372 1035822696 1039322097 1051268328 1053559386 1065669264 1069711632 1080470226 1084365216 1099425844 1116658224 1129140056 1144607728 1146838176 1165300533 1178694792 1199373648 1203425586 1219910868 1231789152 1252881432 1270282563 1285848864 1287683694 1326031641 1341273384 1349295354 1364804496 1381096928 1385762796 1401691104 1404745848 1424256207 1440626968 1463207328 1471958568 1511741232 1532450016 1535405058 1553734044 1571593056 1576902492 1598503896 1604567448 1620705339 1626547824 1649138766 1670508576 1693710084 1716911592 1750437216 1768042188 1788364512 1799060472 1847683728 1872994464 1899008276 1928773296 1931525541 1962611424 2011910076 2023943031 2047206744 2071645392 2078644194 2102536656 2107118772 2131338528 2139423264 2160940452 2198851688 2233316448 2258280112 2289215456 2330601066 2357389584 2398747296 2406851172 2439821736 2473708149 2505762864 2540565126 2575367388 2652063282 2682546768 2698590708 2729608992 2771525592 2809491696 2848512414 2881253936 2943917136 3023482464 3070810116 3107468088 3153804984 3197007792 3209134896 3241410678 3253095648 3298277532 3387420168 3433823184 3495901599 3536084376 3598120944 3695367456 3798016552 3810847689 3857546592 3863051082 4023820152 4047886062 4094413488 4143290784 4157288388 4205073312 4214237544 4272768621 4321880904 4397703376 4516560224 4661202132 4714779168 4813702344 4862116017 4879643472 4947416298 5011525728 5081130252 5150734776 5222272759 5304126564 5365093536 5397181416 5543051184 5618983392 5697024828 5762507872 5794576623 5887834272 6141620232 6214936176 6307609968 6394015584 6418269792 6482821356 6596555064 6774840336 6867646368 6991803198 7072168752 7196241888 7421124447 7596033104 7621695378 7726102164 8047640304 8095772124 8188826976 8314576776 8428475088 8545537242 8643761808 8795406752 9322404264 9627404688 9724232034 9759286944 9894832596 10162260504 10301469552 10444545518 10608253128 10794362832 11086102368 11394049656 11432543067 11589153246 12283240464 12429872352 12615219936 12818305863 12965642712 13193110128 13549680672 13983606396 14144337504 14586348051 14842248894 15192066208 15243390756 15452204328 15666818277 16095280608 16191544248 16629153552 16856950176 17091074484 17287523616 18644808528 19254809376 19448464068 19789665192 20324521008 20602939104 20889091036 21216506256 21588725664 22263373341 22788099312 22865086134 23178306492 24566480928 25636611726 25931285424 26386220256 27967212792 29172696102 29684497788 30486781512 30904408656 31333636554 32383088496 33258307104 34182148968 37289617056 38454917589 38896928136 39579330384 40649042016 41778182072 42433012512 44526746682 45576198624 45730172268 46356612984 47000454831 51273223452 51862570848 55934425584 58345392204 59368995576 60973563024 61808817312 62667273108 64766176992 68364297936 76909835178 77793856272 79158660768 83556364144 89053493364 91460344536 92713225968 94000909662 102546446904 111868851168 116690784408 118737991152 121947126048 125334546216 136728595872 141001364493 153819670356 155587712544 167112728288 178106986728 182920689072 185426451936 188001819324 205092893808 233381568816 237475982304 250669092432 282002728986 307639340712 356213973456 365841378144 376003638648 410185787616 423004093479 466763137632 501338184864 564005457972 615278681424 712427946912 752007277296 846008186958 1128010915944 1230557362848 1504014554592 1692016373916 2256021831888 3384032747832 4512043663776 6768065495664 13536130991328
- Sum of all divisors σ(n): 49663923669360
- Sum of proper divisors (its aliquot sum) s(n): 36127792678032
- 13536130991328 is an abundant number, because the sum of its proper divisors (36127792678032) is greater than itself. Its abundance is 22591661686704
Bases of 13536130991328
- Binary: 110001001111101000000100011110000100111000002
- Hexadecimal: 0xC4FA04784E0
- Base-36: 4SQEUWE00
Squares and roots of 13536130991328
- 13536130991328 squared (135361309913282) is 183226842214390344011203584
- 13536130991328 cubed (135361309913283) is 2480182537341374605987524117428346519552
-
The
square root of 13536130991328 is 3679148.1339201337 -
The
cube root of 13536130991328 is 23832.2392174551
Scales and comparisons
How big is 13536130991328?- 13,536,130,991,328 seconds is equal to 430,407 years, 4 weeks, 6 days, 18 hours, 28 minutes, 48 seconds.
-
To count from 1 to 13,536,130,991,328 would take you about one million, seventy-six thousand and seventeen 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 13536130991328 cubic inches would be around 1986 feet tall.
Recreational maths with 13536130991328
- 13536130991328 backwards is 82319903163531
- 13536130991328 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13536130991328's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 13536130991328 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 13536130991328 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13536130991328/
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Numbermatics. 2024. "Number 13536130991328 - Facts about the integer". https://numbermatics.com/n/13536130991328/
The information we have on file for 13536130991328 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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