13997870685216
13,997,870,685,216 is an even composite number composed of five prime numbers multiplied together.
13997870685216 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 13997870685216:
25 × 37 × 112 × 193 × 241
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 19 × 19 × 19 × 241)See below for interesting mathematical facts about the number 13997870685216 from the Numbermatics database.
Names of 13997870685216
- Cardinal: 13997870685216 can be written as Thirteen trillion, nine hundred ninety-seven billion, eight hundred seventy million, six hundred eighty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.3997870685216 × 1013
Factors of 13997870685216
Divisors of 13997870685216
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 66 72 76 81 88 96 99 108 114 121 132 144 152 162 171 176 198 209 216 228 241 242 243 264 288 297 304 324 342 352 361 363 396 418 432 456 482 484 486 513 528 594 608 627 648 684 722 723 726 729 792 836 864 891 912 964 968 972 1026 1056 1083 1089 1188 1254 1296 1368 1444 1446 1452 1458 1539 1584 1672 1782 1824 1881 1928 1936 1944 2052 2166 2169 2178 2187 2299 2376 2508 2592 2651 2673 2736 2888 2892 2904 2916 3078 3168 3249 3267 3344 3564 3762 3856 3872 3888 3971 4104 4332 4338 4356 4374 4579 4598 4617 4752 5016 5302 5346 5472 5643 5776 5784 5808 5832 6156 6498 6507 6534 6688 6859 6897 7128 7524 7712 7776 7942 7953 8019 8208 8664 8676 8712 8748 9158 9196 9234 9504 9747 9801 10032 10604 10692 11286 11552 11568 11616 11664 11913 12312 12996 13014 13068 13718 13737 13794 13851 14256 15048 15884 15906 16038 16416 16929 17328 17352 17424 17496 18316 18392 18468 19494 19521 19602 20064 20577 20691 21208 21384 22572 23136 23328 23826 23859 24057 24624 25992 26028 26136 27436 27474 27588 27702 28512 29161 29241 29403 30096 31768 31812 32076 33858 34656 34704 34848 34992 35739 36632 36784 36936 38988 39042 39204 41154 41211 41382 41553 42416 42768 43681 45144 47652 47718 48114 49248 50369 50787 51984 52056 52272 54872 54948 55176 55404 58322 58482 58563 58806 60192 61731 62073 63536 63624 64152 67716 69408 69984 71478 71577 73264 73568 73872 75449 77976 78084 78408 82308 82422 82764 83106 84832 85536 87001 87362 87483 87723 88209 90288 95304 95436 96228 100738 101574 103968 104112 104544 107217 109744 109896 110352 110808 116644 116964 117126 117612 123462 123633 124146 127072 127248 128304 131043 135432 142956 143154 146528 147744 150898 151107 152361 155952 156168 156816 164616 164844 165528 166212 174002 174724 174966 175446 175689 176418 180576 185193 186219 190608 190872 192456 201476 203148 208224 214434 214731 219488 219792 220704 221616 226347 233288 233928 234252 235224 246924 247266 248292 254496 256608 261003 262086 262449 263169 264627 270864 285912 286308 301796 302214 304722 311904 312336 313632 321651 329232 329688 331056 332424 348004 349448 349932 350892 351378 352836 370386 370899 372438 381216 381744 384912 393129 402952 406296 428868 429462 439584 443232 452694 453321 457083 466576 467856 468504 470448 493848 494532 496584 522006 524172 524898 526338 527067 529254 541728 554059 555579 558657 571824 572616 603592 604428 609444 624672 643302 644193 658464 659376 662112 664848 679041 696008 698896 699864 701784 702756 705672 740772 741798 744876 763488 769824 783009 786258 787347 789507 805904 812592 829939 857736 858924 905388 906642 914166 933152 935712 937008 940896 957011 964953 987696 989064 993168 1044012 1048344 1049796 1052676 1054134 1058508 1108118 1111158 1112697 1117314 1143648 1145232 1179387 1207184 1208856 1218888 1286604 1288386 1318752 1329696 1358082 1359963 1392016 1397792 1399728 1403568 1405512 1411344 1481544 1483596 1489752 1566018 1572516 1574694 1579014 1611808 1625184 1653019 1659878 1662177 1666737 1675971 1715472 1717848 1810776 1813284 1828332 1874016 1914022 1929906 1932579 1975392 1978128 1986336 2037123 2088024 2096688 2099592 2105352 2108268 2117016 2216236 2222316 2225394 2234628 2290464 2349027 2358774 2362041 2414368 2417712 2437776 2489817 2573208 2576772 2716164 2719926 2784032 2799456 2807136 2811024 2822688 2871033 2894859 2963088 2967192 2979504 3132036 3145032 3149388 3158028 3306038 3319756 3324354 3333474 3338091 3351942 3430944 3435696 3538161 3621552 3626568 3656664 3828044 3859812 3865158 3956256 4074246 4079889 4176048 4193376 4199184 4210704 4216536 4234032 4432472 4444632 4450788 4469256 4698054 4717548 4724082 4835424 4875552 4959057 4979634 4986531 5000211 5027913 5146416 5153544 5432328 5439852 5622048 5742066 5789718 5797737 5926176 5934384 5959008 6111369 6264072 6290064 6298776 6316056 6612076 6639512 6648708 6666948 6676182 6703884 6871392 7047081 7076322 7086123 7243104 7253136 7313328 7469451 7656088 7719624 7730316 8148492 8159778 8352096 8398368 8421408 8433072 8468064 8613099 8684577 8864944 8889264 8901576 8938512 9396108 9435096 9448164 9918114 9959268 9973062 10000422 10014273 10055826 10292832 10307088 10527121 10614483 10864656 10879704 11484132 11579436 11595474 11868768 12222738 12239667 12528144 12580128 12597552 12632112 13224152 13279024 13297416 13333896 13352364 13407768 14094162 14152644 14172246 14506272 14626656 14877171 14938902 14959593 15000633 15312176 15439248 15460632 16296984 16319556 16866144 17226198 17369154 17729888 17778528 17803152 17877024 18183209 18334107 18792216 18870192 18896328 19836228 19918536 19946124 20000844 20028546 20111652 20614176 21054242 21141243 21228966 21258369 21729312 21759408 22408353 22968264 23158872 23190948 24445476 24479334 25056288 25195104 25264224 25839297 26448304 26558048 26594832 26667792 26704728 26815536 28188324 28305288 28344492 29754342 29877804 29919186 30001266 30624352 30878496 30921264 31581363 31843449 32593968 32639112 34452396 34738308 35606304 36366418 36668214 36719001 37584432 37740384 37792656 39672456 39837072 39892248 40001688 40057092 40223304 42108484 42282486 42457932 42516738 43518816 44631513 44816706 44878779 45936528 46317744 46381896 48890952 48958668 51678594 52896608 53189664 53335584 53409456 53631072 54549627 55002321 56376648 56610576 56688984 59508684 59755608 59838372 60002532 61842528 63162726 63423729 63686898 63775107 65187936 65278224 67225059 68904792 69476616 72732836 73336428 73438002 75168864 75585312 77517891 79344912 79674144 79784496 80003376 80114184 80446608 84216968 84564972 84915864 85033476 89263026 89633412 89757558 91873056 92635488 92763792 94744089 95530347 97781904 97917336 103357188 106818912 109099254 110004642 110157003 112753296 113221152 113377968 119017368 119511216 119676744 120005064 126325452 126847458 127373796 127550214 130556448 133894539 134450118 134636337 137809584 138953232 145465672 146672856 146876004 155035782 158689824 159568992 160006752 160228368 160893216 163648881 165006963 168433936 169129944 169831728 170066952 178526052 179266824 179515116 185527584 189488178 190271187 191060694 195563808 195834672 200015299 201675177 206714376 218198508 220009284 220314006 225506592 226755936 232553673 238034736 239022432 239353488 240010128 252650904 253694916 254747592 255100428 267789078 268900236 269272674 275619168 277906464 284232267 290931344 293345712 293752008 310071564 320456736 327297762 330013926 336867872 338259888 339663456 340133904 357052104 358533648 359030232 378976356 380542374 382121388 391669344 400030598 401683617 403350354 403909011 413428752 436397016 440018568 440628012 465107346 476069472 478706976 480020256 490946643 505301808 507389832 509495184 510200856 535578156 537800472 538545348 568464534 581862688 586691424 587504016 600045897 605025531 620143128 654595524 660027852 676519776 680267808 697661019 714104208 717067296 718060464 757952712 761084748 764242776 800061196 803367234 806700708 807818022 826857504 852696801 872794032 880037136 881256024 930214692 981893286 1010603616 1014779664 1018990368 1020401712 1071156312 1075600944 1077090696 1136929068 1175008032 1200091794 1205050851 1210051062 1211727033 1240286256 1309191048 1320055704 1395322038 1428208416 1436120928 1472839929 1515905424 1522169496 1528485552 1600122392 1606734468 1613401416 1615636044 1705393602 1745588064 1760074272 1762512048 1800137691 1815076593 1860429384 1963786572 2029559328 2040803424 2092983057 2142312624 2151201888 2154181392 2273858136 2400183588 2410101702 2420102124 2423454066 2480572512 2558090403 2618382096 2640111408 2790644076 2945679858 3031810848 3044338992 3056971104 3200244784 3213468936 3226802832 3231272088 3410787204 3525024096 3600275382 3615152553 3630153186 3720858768 3927573144 4185966114 4284625248 4308362784 4418519787 4547716272 4800367176 4820203404 4840204248 4846908132 5116180806 5236764192 5280222816 5400413073 5581288152 5891359716 6088677984 6400489568 6426937872 6453605664 6462544176 6821574408 7200550764 7230305106 7260306372 7441717536 7674271209 7855146288 8371932228 8837039574 9095432544 9600734352 9640406808 9680408496 9693816264 10232361612 10800826146 11162576304 11782719432 12853875744 12925088352 13255559361 13643148816 14401101528 14460610212 14520612744 15348542418 15710292576 16201239219 16743864456 17674079148 19201468704 19280813616 19360816992 19387632528 20464723224 21601652292 22325152608 23022813627 23565438864 26511118722 27286297632 28802203056 28921220424 29041225488 30697084836 32402478438 33487728912 35348158296 38561627232 38775265056 39766678083 40929446448 43203304584 46045627254 47130877728 48603717657 53022237444 57604406112 57842440848 58082450976 61394169672 64804956876 66975457824 70696316592 79533356166 81858892896 86406609168 92091254508 97207435314 106044474888 115684881696 122788339344 129609913752 141392633184 145811152971 159066712332 172813218336 184182509016 194414870628 212088949776 245576678688 259219827504 291622305942 318133424664 368365018032 388829741256 424177899552 437433458913 518439655008 583244611884 636266849328 736730036064 777659482512 874866917826 1166489223768 1272533698656 1555318965024 1749733835652 2332978447536 3499467671304 4665956895072 6998935342608 13997870685216
- Sum of all divisors σ(n): 48152624889600
- Sum of proper divisors (its aliquot sum) s(n): 34154754204384
- 13997870685216 is an abundant number, because the sum of its proper divisors (34154754204384) is greater than itself. Its abundance is 20156883519168
Bases of 13997870685216
- Binary: 110010111011001000100001110000011100001000002
- Hexadecimal: 0xCBB221C1C20
- Base-36: 4YMJ6SI00
Squares and roots of 13997870685216
- 13997870685216 squared (139978706852162) is 195940383720029449360966656
- 13997870685216 cubed (139978706852163) is 2742748153324574599430093498346848157696
-
The
square root of 13997870685216 is 3741372.8342970579 -
The
cube root of 13997870685216 is 24100.2006865721
Scales and comparisons
How big is 13997870685216?- 13,997,870,685,216 seconds is equal to 445,088 years, 51 weeks, 3 days, 4 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,997,870,685,216 would take you about one million, one hundred twelve thousand, seven hundred twenty-two 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 13997870685216 cubic inches would be around 2008.4 feet tall.
Recreational maths with 13997870685216
- 13997870685216 backwards is 61258607879931
- 13997870685216 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13997870685216's digits is 72
- More coming soon!
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The information we have on file for 13997870685216 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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