13536934914048
13,536,934,914,048 is an even composite number composed of seven prime numbers multiplied together.
13536934914048 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 13536934914048:
211 × 3 × 7 × 132 × 31 × 73 × 823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 31 × 73 × 823)See below for interesting mathematical facts about the number 13536934914048 from the Numbermatics database.
Names of 13536934914048
- Cardinal: 13536934914048 can be written as Thirteen trillion, five hundred thirty-six billion, nine hundred thirty-four million, nine hundred fourteen thousand and forty-eight.
Scientific notation
- Scientific notation: 1.3536934914048 × 1013
Factors of 13536934914048
Divisors of 13536934914048
- 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 31 32 39 42 48 52 56 62 64 73 78 84 91 93 96 104 112 124 128 146 156 168 169 182 186 192 208 217 219 224 248 256 273 292 312 336 338 364 372 384 403 416 434 438 448 496 507 511 512 546 584 624 651 672 676 728 744 768 806 823 832 868 876 896 949 992 1014 1022 1024 1092 1168 1183 1209 1248 1302 1344 1352 1456 1488 1533 1536 1612 1646 1664 1736 1752 1792 1898 1984 2028 2044 2048 2184 2263 2336 2366 2418 2469 2496 2604 2688 2704 2821 2847 2912 2976 3066 3072 3224 3292 3328 3472 3504 3549 3584 3796 3968 4056 4088 4368 4526 4672 4732 4836 4938 4992 5208 5239 5376 5408 5642 5694 5761 5824 5952 6132 6144 6448 6584 6643 6656 6789 6944 7008 7098 7168 7592 7936 8112 8176 8463 8736 9052 9344 9464 9672 9876 9984 10416 10478 10699 10752 10816 11284 11388 11522 11648 11904 12264 12337 12896 13168 13286 13312 13578 13888 14016 14196 14336 15184 15717 15841 15872 16224 16352 16926 17283 17472 18104 18688 18928 19344 19752 19929 19968 20832 20956 21398 21504 21632 22568 22776 23044 23296 23808 24528 24674 25513 25792 26336 26572 26624 27156 27776 28032 28392 29419 30368 31434 31682 31744 32097 32448 32704 33852 34566 34944 36208 36673 37011 37376 37856 38688 39504 39858 39936 41664 41912 42796 43008 43264 45136 45552 46088 46592 47523 47616 49056 49348 51026 51584 52672 53144 54312 55552 56064 56784 58838 60079 60736 62868 63364 63488 64194 64896 65408 67704 69132 69888 72416 73346 74022 74752 74893 75712 76539 77376 79008 79716 79872 83328 83824 85592 86359 86528 88257 90272 91104 92176 93184 95046 95232 98112 98696 102052 103168 105344 106288 108624 110019 111104 112128 113568 117676 120158 121472 125736 126728 128388 129792 130816 135408 138264 139087 139776 144832 146692 148044 149504 149786 151424 153078 154752 158016 159432 166656 167648 171184 172718 173056 176514 178591 180237 180544 182208 184352 186368 190092 190464 196224 197392 204104 205933 206336 210688 212576 217248 220038 222208 224256 224679 227136 235352 240316 242944 251472 253456 256776 259077 259584 261632 270816 276528 278174 279552 289664 293384 296088 299572 302848 306156 309504 316032 318864 331669 333312 335296 342368 345436 346112 353028 357182 360474 361088 364416 368704 380184 382447 392448 394784 408208 411866 412672 417261 420553 421376 425152 434496 440076 444416 448512 449358 454272 470704 480632 485888 502944 506912 513552 518154 519168 523264 535773 541632 553056 556348 559104 579328 586768 592176 599144 605696 612312 617799 619008 632064 637728 663338 666624 670592 684736 690872 706056 714364 720948 722176 728832 737408 760368 764894 781027 784896 789568 816416 823732 825344 834522 841106 842752 850304 868992 880152 898716 908544 941408 961264 971776 973609 995007 1005888 1013824 1027104 1036308 1038336 1046528 1071546 1083264 1106112 1112696 1147341 1158656 1173536 1184352 1198288 1211392 1224624 1235598 1238016 1261659 1264128 1275456 1326676 1333248 1341184 1369472 1381744 1412112 1428728 1441896 1444352 1457664 1474816 1520736 1529788 1562054 1569792 1579136 1632832 1647464 1669044 1682212 1685504 1700608 1737984 1760304 1797432 1817088 1862449 1882816 1922528 1943552 1947218 1990014 2011776 2027648 2054208 2072616 2143092 2166528 2212224 2225392 2294682 2317312 2321683 2343081 2347072 2368704 2396576 2422784 2449248 2471196 2476032 2523318 2528256 2550912 2653352 2677129 2682368 2738944 2763488 2824224 2857456 2883792 2888704 2915328 2920827 2949632 3041472 3059576 3124108 3139584 3158272 3265664 3294928 3338088 3364424 3401216 3475968 3520608 3594864 3634176 3724898 3765632 3845056 3894436 3980028 4023552 4055296 4108416 4145232 4286184 4311697 4333056 4424448 4450784 4589364 4634624 4643366 4686162 4694144 4737408 4793152 4898496 4942392 5046636 5056512 5101824 5306704 5354258 5364736 5467189 5477888 5526976 5587347 5648448 5714912 5767584 5777408 5830656 5841654 5899264 6082944 6119152 6248216 6316544 6531328 6589856 6676176 6728848 6802432 6951936 6965049 7041216 7189728 7268352 7449796 7531264 7690112 7788872 7960056 8031387 8047104 8110592 8216832 8290464 8572368 8623394 8666112 8848896 8901568 9178728 9286732 9372324 9388288 9474816 9586304 9796992 9884784 10093272 10153351 10203648 10613408 10708516 10729472 10934378 10955776 11053952 11174694 11296896 11429824 11535168 11683308 11798528 12165888 12238304 12496432 12633088 12935091 13037143 13062656 13179712 13352352 13457696 13604864 13903872 13930098 14082432 14379456 14899592 15062528 15380224 15577744 15920112 16062774 16094208 16221184 16401567 16433664 16580928 17144736 17246788 17332224 17697792 17803136 18357456 18573464 18744648 18776576 18949632 19172608 19593984 19769568 20186544 20306702 20407296 21226816 21417032 21868756 21911552 22107904 22349388 22593792 22859648 23070336 23366616 24211837 24331776 24476608 24992864 25266176 25870182 26074286 26125312 26359424 26704704 26915392 27860196 28164864 28758912 29799184 30125056 30181879 30460053 30760448 31155488 31840224 32125548 32188416 32442368 32803134 32867328 33161856 34289472 34493576 35395584 35606272 36714912 37146928 37489296 37553152 37899264 38345216 39111429 39187968 39539136 40373088 40613404 40814592 42453632 42834064 43737512 44215808 44698776 45187584 45719296 46140672 46733232 48423674 48663552 48953216 49985728 51740364 52148572 52250624 52718848 53409408 53830784 55720392 56329728 57517824 59598368 60250112 60363758 60920106 61520896 62310976 63680448 64251096 65606268 65734656 66323712 68578944 68987152 71073457 71212544 72635511 73429824 74293856 74978592 75106304 75798528 76690432 78222858 78375936 79078272 80746176 81226808 84907264 85668128 87475024 88431616 89397552 90375168 90545637 91438592 92281344 93466464 96847348 97327104 97906432 99971456 103480728 104297144 105437696 106818816 107661568 111440784 112659456 115035648 119196736 120727516 121840212 123041792 124621952 127360896 128502192 131212536 132647424 137157888 137974304 142146914 142425088 145271022 146859648 148587712 149957184 153380864 156445716 156751872 158156544 161492352 162453616 169482859 169814528 171336256 174950048 176863232 178795104 180750336 181091274 182877184 184562688 186932928 193694696 195812864 199942912 206961456 208594288 210875392 213220371 213637632 215323136 222881568 225318912 230071296 238393472 241455032 243680424 249243904 254721792 257004384 262425072 265294848 274315776 275948608 284293828 284850176 290542044 293719296 297175424 299914368 312891432 314753881 316313088 322984704 324907232 338965718 339629056 342672512 349900096 357590208 362182548 365754368 369125376 373865856 387389392 391625728 399885824 413922912 417188576 421750784 426440742 427275264 430646272 445763136 460142592 476786944 482910064 487360848 498487808 508448577 509443584 514008768 524850144 530589696 548631552 551897216 568587656 581084088 587438592 594350848 599828736 625782864 629507762 632626176 645969408 649814464 677931436 679258112 685345024 699800192 715180416 724365096 747731712 774778784 783251456 799771648 827845824 834377152 852881484 854550528 861292544 891526272 944261643 953573888 965820128 974721696 996975616 1016897154 1018887168 1028017536 1049700288 1097263104 1103794432 1137175312 1162168176 1174877184 1188701696 1199657472 1251565728 1259015524 1265252352 1291938816 1299628928 1355862872 1370690048 1399600384 1430360832 1448730192 1495463424 1549557568 1599543296 1655691648 1668754304 1705762968 1783052544 1888523286 1907147776 1931640256 1949443392 1993951232 2033794308 2037774336 2056035072 2099400576 2203277167 2207588864 2274350624 2324336352 2349754368 2377403392 2399314944 2503131456 2518031048 2583877632 2599257856 2711725744 2741380096 2799200768 2860721664 2897460384 2990926848 3099115136 3311383296 3337508608 3411525936 3566105088 3777046572 3814295552 3863280512 3898886784 4067588616 4112070144 4198801152 4406554334 4415177728 4548701248 4648672704 4754806784 4798629888 5006262912 5036062096 5198515712 5423451488 5482760192 5598401536 5721443328 5794920768 5981853696 6198230272 6609831501 6622766592 6675017216 6823051872 7132210176 7554093144 7726561024 7797773568 8135177232 8224140288 8397602304 8813108668 8830355456 9097402496 9297345408 10012525824 10072124192 10397031424 10846902976 11196803072 11442886656 11589841536 12396460544 13219663002 13245533184 13350034432 13646103744 14264420352 15108186288 15453122048 15595547136 16270354464 16448280576 16795204608 17626217336 18194804992 18594690816 20025051648 20144248384 20794062848 21693805952 23179683072 24792921088 26439326004 26491066368 26700068864 27292207488 30216372576 30906244096 31191094272 32540708928 33590409216 35252434672 36389609984 37189381632 40050103296 40288496768 43387611904 46359366144 49585842176 52878652008 54584414976 60432745152 61812488192 62382188544 65081417856 70504869344 72779219968 74378763264 80100206592 80576993536 86775223808 92718732288 105757304016 109168829952 120865490304 130162835712 141009738688 145558439936 148757526528 161153987072 173550447616 185437464576 211514608032 218337659904 241730980608 260325671424 282019477376 322307974144 347100895232 423029216064 436675319808 483461961216 520651342848 564038954752 644615948288 846058432128 966923922432 1041302685696 1128077909504 1692116864256 1933847844864 2256155819008 3384233728512 4512311638016 6768467457024 13536934914048
- Sum of all divisors σ(n): 46791167754240
- Sum of proper divisors (its aliquot sum) s(n): 33254232840192
- 13536934914048 is an abundant number, because the sum of its proper divisors (33254232840192) is greater than itself. Its abundance is 19717297926144
Bases of 13536934914048
- Binary: 110001001111110100000011001001101000000000002
- Hexadecimal: 0xC4FD0326800
- Base-36: 4SQS5J8QO
Squares and roots of 13536934914048
- 13536934914048 squared (135369349140482) is 183248606867171733147746304
- 13536934914048 cubed (135369349140483) is 2480624464250873128011242306223149678592
-
The
square root of 13536934914048 is 3679257.3862191267 -
The
cube root of 13536934914048 is 23832.7110139949
Scales and comparisons
How big is 13536934914048?- 13,536,934,914,048 seconds is equal to 430,432 years, 34 weeks, 1 day, 10 hours, 20 minutes, 48 seconds.
-
To count from 1 to 13,536,934,914,048 would take you about one million, seventy-six thousand and eighty-one 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 13536934914048 cubic inches would be around 1986.1 feet tall.
Recreational maths with 13536934914048
- 13536934914048 backwards is 84041943963531
- The number of decimal digits it has is: 14
- The sum of 13536934914048's digits is 60
- More coming soon!
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The information we have on file for 13536934914048 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 13536934914048, math, Factors of 13536934914048, curriculum, school, college, exams, university, Prime factorization of 13536934914048, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, five hundred thirty-six billion, nine hundred thirty-four million, nine hundred fourteen thousand and forty-eight.