13222375972416
13,222,375,972,416 is an even composite number composed of six prime numbers multiplied together.
What does the number 13222375972416 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1260 divisors.
13222375972416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 13222375972416:
26 × 34 × 13 × 192 × 372 × 397
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 19 × 19 × 37 × 37 × 397)See below for interesting mathematical facts about the number 13222375972416 from the Numbermatics database.
Names of 13222375972416
- Cardinal: 13222375972416 can be written as Thirteen trillion, two hundred twenty-two billion, three hundred seventy-five million, nine hundred seventy-two thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.3222375972416 × 1013
Factors of 13222375972416
Divisors of 13222375972416
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 37 38 39 48 52 54 57 64 72 74 76 78 81 96 104 108 111 114 117 144 148 152 156 162 171 192 208 216 222 228 234 247 288 296 304 312 324 333 342 351 361 397 416 432 444 456 468 481 494 513 576 592 608 624 648 666 684 702 703 722 741 794 832 864 888 912 936 962 988 999 1026 1053 1083 1184 1191 1216 1248 1296 1332 1368 1369 1404 1406 1443 1444 1482 1539 1588 1728 1776 1824 1872 1924 1976 1998 2052 2106 2109 2166 2223 2368 2382 2496 2592 2664 2736 2738 2808 2812 2886 2888 2964 2997 3078 3176 3249 3552 3573 3648 3744 3848 3952 3996 4104 4107 4212 4218 4329 4332 4446 4693 4764 5161 5184 5328 5472 5476 5616 5624 5772 5776 5928 5994 6156 6327 6352 6498 6669 7104 7146 7488 7543 7696 7904 7992 8208 8214 8424 8436 8658 8664 8892 9139 9386 9528 9747 10322 10656 10719 10944 10952 11232 11248 11544 11552 11856 11988 12312 12321 12654 12704 12987 12996 13338 13357 14079 14292 14689 15086 15392 15483 15808 15984 16416 16428 16848 16872 17316 17328 17784 17797 18278 18772 18981 19056 19494 20007 20644 21312 21438 21904 22464 22496 22629 23088 23104 23712 23976 24624 24642 25308 25408 25974 25992 26011 26676 26714 27417 28158 28584 29241 29378 30172 30784 30966 31968 32157 32832 32856 33696 33744 34632 34656 35568 35594 36556 36963 37544 37962 38112 38961 38988 40014 40071 41288 42237 42876 43808 44067 44992 45258 46176 46449 47424 47952 49248 49284 50616 51948 51984 52022 53352 53391 53428 54834 56316 56943 57168 58482 58756 60344 61932 63936 64314 65712 67392 67488 67887 69264 69312 71136 71188 73112 73926 75088 75924 76224 77922 77976 78033 80028 80142 82251 82576 84474 85752 87616 88134 90516 92352 92898 95904 98059 98496 98568 101232 103896 103968 104044 106704 106782 106856 109668 110889 112632 113886 114336 116964 117512 120213 120688 123864 126711 128628 131424 132201 134976 135774 138528 139347 142272 142376 143317 146224 147852 150176 151848 155844 155952 156066 160056 160173 160284 164502 165152 168948 171504 173641 176268 181032 185796 190957 191808 196118 197136 202464 203661 207792 207936 208088 213408 213564 213712 219336 221778 225264 227772 228672 233928 234099 235024 240426 241376 246753 247728 253422 257256 262848 264402 271548 277056 278694 279091 284752 286634 292448 294177 295704 300352 303696 311688 311904 312132 320112 320346 320568 329004 330304 337896 338143 343008 347282 352536 360639 362064 371592 380133 381914 392236 394272 396603 404928 407322 415584 416176 418041 426816 427128 427424 429951 438672 443556 450528 455544 467856 468198 470048 480519 480852 482752 493506 494209 495456 506844 514512 520923 528804 543096 543493 557388 558182 569504 572871 573268 584896 588354 591408 607392 610983 623376 623808 624264 640224 640692 641136 658008 675792 676286 686016 694564 702297 705072 721278 724128 740259 743184 760266 763828 784472 788544 793206 814644 831168 832352 836082 837273 854256 854848 859902 877344 882531 887112 901056 911088 935712 936396 940096 961038 961704 987012 988418 990912 1013688 1014429 1029024 1041846 1057608 1081917 1086192 1086986 1114776 1116364 1139008 1145742 1146536 1176708 1182816 1189809 1214784 1221966 1246752 1248528 1280448 1281384 1282272 1289853 1316016 1351584 1352572 1389128 1404594 1410144 1441557 1442556 1448256 1480518 1482627 1486368 1520532 1527656 1562769 1568944 1586412 1629288 1630479 1664704 1672164 1674546 1708512 1718613 1719804 1754688 1765062 1774224 1822176 1863121 1871424 1872792 1922076 1923408 1974024 1976836 2027376 2028858 2058048 2083692 2106891 2115216 2163834 2172384 2173972 2229552 2232728 2291484 2293072 2353416 2365632 2379618 2443932 2493504 2497056 2511819 2562768 2564544 2579706 2632032 2647593 2703168 2705144 2778256 2809188 2820288 2883114 2885112 2961036 2965254 2972736 3041064 3043287 3055312 3125538 3137888 3172824 3258576 3260958 3344328 3349092 3417024 3437226 3439608 3530124 3548448 3628183 3644352 3726242 3745584 3844152 3846816 3869559 3948048 3953672 4054752 4057716 4167384 4213782 4230432 4327668 4344768 4347944 4447881 4459104 4465456 4582968 4586144 4688307 4706832 4759236 4887864 4891437 4994112 5023638 5125536 5155839 5159412 5264064 5295186 5302729 5410288 5556512 5589363 5618376 5766228 5770224 5922072 5930508 6082128 6086574 6110624 6251076 6275776 6345648 6424717 6517152 6521916 6688656 6698184 6874452 6879216 7060248 7065409 7096896 7256366 7452484 7491168 7535457 7688304 7693632 7739118 7896096 7907344 7942779 8109504 8115432 8334768 8427564 8460864 8655336 8695888 8895762 8918208 8930912 9129861 9165936 9172288 9376614 9413664 9518472 9775728 9782874 10047276 10251072 10311678 10318824 10326367 10590372 10605458 10820576 10884549 11113024 11178726 11236752 11532456 11540448 11608677 11844144 11861016 12164256 12173148 12221248 12502152 12691296 12849434 13034304 13043832 13343643 13377312 13396368 13748904 13758432 14064921 14120496 14130818 14512732 14674311 14904968 14982336 15070914 15376608 15467517 15478236 15792192 15814688 15885558 15908187 16230864 16669536 16768089 16855128 17310672 17391776 17791524 17861824 18259722 18331872 18753228 18827328 19036944 19274151 19551456 19565748 20094552 20623356 20637648 20652734 21180744 21196227 21210916 21641152 21769098 22357452 22473504 22606371 23064912 23080896 23217354 23688288 23722032 24328512 24346296 25004304 25382592 25698868 26087664 26687286 26754624 26792736 27389583 27497808 27516864 28129842 28240992 28261636 29025464 29348622 29809936 30141828 30753216 30935034 30956472 30979101 31629376 31771116 31816374 32461728 32653647 33339072 33536178 33710256 34621344 34783552 35583048 36519444 36663744 37506456 38073888 38548302 39102912 39131496 40030929 40189104 41246712 41275296 41305468 42361488 42392454 42421832 43538196 44022933 44714904 44947008 45212742 46129824 46434708 47376576 47444064 47724561 48692592 50008608 50304267 51397736 52175328 53374572 53585472 54779166 54995616 56259684 56481984 56523272 57822453 58050928 58697244 59619872 60283656 61870068 61912944 61958202 63542232 63588681 63632748 64923456 65307294 67072356 67420512 68935477 69242688 71166096 73038888 75012912 76147776 77096604 78262992 80061858 80378208 82493424 82550592 82610936 84722976 84784908 84843664 87076392 88045866 89429808 90425484 92259648 92869416 92937303 94888128 95449122 97385184 97960941 100017216 100608534 102795472 104350656 106749144 109558332 109991232 112519368 113046544 115644906 116101856 117394488 119239744 120567312 123740136 123825888 123916404 127084464 127177362 127265496 130614588 134144712 134242771 134841024 137870954 142332192 143173683 146077776 150025824 150912801 154193208 156525984 160123716 160756416 164986848 165221872 169445952 169569816 169687328 173467359 174152784 176091732 178859616 180850968 185738832 185874606 190766043 190898244 194770368 195921882 196200973 201217068 205590944 206806431 213498288 219116664 225038736 226093088 231289812 232203712 234788976 241134624 247480272 247651776 247832808 254168928 254354724 254530992 261229176 268289424 268485542 275741908 278811909 284664384 286347366 292155552 293882823 300051648 301825602 308386416 313051968 320247432 329973696 330443744 339139632 339374656 346934718 348305568 352183464 357719232 361701936 371477664 371749212 381532086 381796488 391843764 392401946 402434136 402728313 411181888 413612862 426996576 429521049 438233328 450077472 452186176 462579624 469577952 482269248 494960544 495665616 508337856 508709448 509061984 520402077 522458352 536578848 536971084 551483816 557623818 572298129 572694732 584311104 587765646 588602919 603651204 616772832 620419293 640494864 660887488 678279264 693869436 696611136 704366928 723403872 742955328 743498424 763064172 763592976 783687528 784803892 804868272 805456626 827225724 836435727 853993152 859042098 876466656 900154944 925159248 939155904 989921088 991331232 1017418896 1018123968 1040804154 1044916704 1073157696 1073942168 1102967632 1115247636 1144596258 1145389464 1175531292 1177205838 1207302408 1208184939 1233545664 1240838586 1280989728 1356558528 1387738872 1408733856 1446807744 1486996848 1526128344 1527185952 1567375056 1569607784 1609736544 1610913252 1654451448 1672871454 1718084196 1752933312 1765808757 1850318496 1861257879 1982662464 2034837792 2081608308 2089833408 2147884336 2205935264 2230495272 2289192516 2290778928 2351062584 2354411676 2414604816 2416369878 2481677172 2550612649 2561979456 2775477744 2817467712 2973993696 3052256688 3054371904 3134750112 3139215568 3219473088 3221826504 3308902896 3345742908 3436168392 3531617514 3624554817 3700636992 3722515758 4069675584 4163216616 4295768672 4411870528 4460990544 4578385032 4581557856 4702125168 4708823352 4829209632 4832739756 4963354344 5101225298 5297426271 5550955488 5583773637 5947987392 6104513376 6269500224 6278431136 6443653008 6617805792 6691485816 6872336784 7063235028 7249109634 7445031516 7651837947 8326433232 8591537344 8921981088 9156770064 9163115712 9404250336 9417646704 9658419264 9665479512 9926708688 10202450596 10594852542 10873664451 11101910976 11167547274 12209026752 12556862272 12887306016 13235611584 13382971632 13744673568 14126470056 14498219268 14890063032 15303675894 15892278813 16652866464 17843962176 18313540128 18808500672 18835293408 19330959024 19853417376 20404901192 21189705084 21747328902 22335094548 22955513841 25774612032 26765943264 27489347136 28252940112 28996438536 29780126064 30607351788 31784557626 33305732928 36627080256 37670586816 38661918048 39706834752 40809802384 42379410168 43494657804 44670189096 45911027682 53531886528 56505880224 57992877072 59560252128 61214703576 63569115252 68866541523 77323836096 81619604768 84758820336 86989315608 89340378192 91822055364 113011760448 115985754144 119120504256 122429407152 127138230504 137733083046 163239209536 169517640672 173978631216 178680756384 183644110728 206599624569 231971508288 244858814304 254276461008 275466166092 339035281344 347957262432 357361512768 367288221456 413199249138 489717628608 508552922016 550932332184 695914524864 734576442912 826398498276 1017105844032 1101864664368 1469152885824 1652796996552 2203729328736 3305593993104 4407458657472 6611187986208 13222375972416
- Sum of all divisors σ(n): 45900696133908
- Sum of proper divisors (its aliquot sum) s(n): 32678320161492
- 13222375972416 is an abundant number, because the sum of its proper divisors (32678320161492) is greater than itself. Its abundance is 19455944189076
Bases of 13222375972416
- Binary: 110000000110100100110000010111011110010000002
- Hexadecimal: 0xC069305DE40
- Base-36: 4OQ9X9G00
Squares and roots of 13222375972416
- 13222375972416 squared (132223759724162) is 174831226355923961592877056
- 13222375972416 cubed (132223759724163) is 2311684206596591899788772799627135287296
-
The
square root of 13222375972416 is 3636258.5128695127 -
The
cube root of 13222375972416 is 23646.6614708929
Scales and comparisons
How big is 13222375972416?- 13,222,375,972,416 seconds is equal to 420,430 years, 34 weeks, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,222,375,972,416 would take you about one million, fifty-one thousand and seventy-six 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 13222375972416 cubic inches would be around 1970.6 feet tall.
Recreational maths with 13222375972416
- 13222375972416 backwards is 61427957322231
- 13222375972416 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13222375972416's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13222375972416 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 13222375972416 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/13222375972416/
Chicago style:
Numbermatics. 2024. "Number 13222375972416 - Facts about the integer". https://numbermatics.com/n/13222375972416/
The information we have on file for 13222375972416 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 13222375972416, math, Factors of 13222375972416, curriculum, school, college, exams, university, Prime factorization of 13222375972416, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, two hundred twenty-two billion, three hundred seventy-five million, nine hundred seventy-two thousand, four hundred sixteen.