13671431864792416
13,671,431,864,792,416 is an even composite number composed of six prime numbers multiplied together.
What does the number 13671431864792416 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
13671431864792416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13671431864792416:
25 × 115 × 13 × 312 × 592 × 61
(2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 11 × 11 × 13 × 31 × 31 × 59 × 59 × 61)See below for interesting mathematical facts about the number 13671431864792416 from the Numbermatics database.
Names of 13671431864792416
- Cardinal: 13671431864792416 can be written as Thirteen quadrillion, six hundred seventy-one trillion, four hundred thirty-one billion, eight hundred sixty-four million, seven hundred ninety-two thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.3671431864792416 × 1016
Factors of 13671431864792416
Divisors of 13671431864792416
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 31 32 44 52 59 61 62 88 104 118 121 122 124 143 176 208 236 242 244 248 286 341 352 403 416 472 484 488 496 572 649 671 682 767 793 806 944 961 968 976 992 1144 1298 1331 1342 1364 1534 1573 1586 1612 1829 1888 1891 1922 1936 1952 2288 2596 2662 2684 2728 3068 3146 3172 3224 3481 3599 3658 3751 3782 3844 3872 4433 4576 5192 5324 5368 5456 6136 6292 6344 6448 6962 7139 7198 7316 7381 7502 7564 7688 8437 8723 8866 10384 10571 10648 10736 10912 12272 12493 12584 12688 12896 13924 14278 14396 14632 14641 14762 15004 15128 15376 16874 17303 17446 17732 20119 20768 20801 21142 21296 21472 23777 24544 24583 24986 25168 25376 27848 28556 28792 29264 29282 29524 30008 30256 30752 33748 34606 34892 35464 38291 39589 40238 41261 41602 42284 42592 45253 46787 47554 48763 49166 49972 50336 55696 56699 57112 57584 58528 58564 58621 59048 60016 60512 67496 69212 69784 70928 76582 78529 79178 80476 81191 82522 83204 84568 90506 92807 93574 95108 95953 97526 98332 99944 107911 111392 111569 113398 114224 115168 116281 117128 117242 118096 120032 134992 137423 138424 139568 141856 153164 157058 158356 160952 161051 162382 165044 166408 169136 181012 185614 187148 190216 190333 191906 195052 196664 199888 212341 215822 221309 223138 226796 228448 228811 232562 234256 234484 236192 261547 269984 270413 274846 276848 279136 306328 314116 316712 321904 322102 324764 330088 332816 338272 362024 371228 374296 380432 380666 383812 390104 393328 399776 421201 424682 431644 435479 442618 446276 453592 453871 457622 465124 468512 468968 497783 514657 523094 536393 540826 549692 553696 612656 623689 628232 633424 643808 644204 644831 649528 660176 665632 724048 737087 742456 748592 760864 761332 762073 767624 780208 786656 842402 849364 863288 863819 870958 885236 892552 893101 907184 907742 915244 930248 937936 995566 1020877 1029314 1046188 1055483 1072786 1081652 1099384 1187021 1225312 1227259 1247378 1256464 1266848 1279091 1288408 1289662 1299056 1320352 1402843 1448096 1450397 1474174 1484912 1497184 1511653 1522664 1524146 1535248 1560416 1684804 1698728 1726576 1727638 1741916 1770472 1785104 1786202 1814368 1815484 1830488 1860496 1875872 1991132 2041754 2058628 2092376 2093663 2110966 2145572 2163304 2198768 2335751 2374042 2434399 2454518 2494756 2512928 2516921 2558182 2576816 2579324 2598112 2760433 2805686 2877017 2900794 2948348 2969824 2974543 3023306 3045328 3048292 3070496 3345241 3369608 3397456 3453152 3455276 3458639 3483832 3540944 3570208 3572404 3630968 3660976 3720992 3982264 4083508 4117256 4184752 4187326 4221932 4291144 4326608 4397536 4633211 4671502 4748084 4790269 4868798 4909036 4989512 4992581 5033842 5116364 5153632 5158648 5475613 5520866 5611372 5661227 5754034 5801588 5896696 5900323 5949086 6046612 6090656 6096584 6582571 6690482 6739216 6794912 6860579 6910552 6917278 6967664 7081888 7093141 7144808 7261936 7321952 7964528 8107957 8167016 8234512 8369504 8374652 8382803 8443864 8582288 8653216 9266422 9343004 9496168 9502009 9580538 9737596 9818072 9824111 9979024 9985162 10067684 10232728 10317296 10951226 11041732 11222744 11229647 11322454 11508068 11603176 11610313 11793392 11800646 11898172 12093224 12193168 13057231 13165142 13380964 13478432 13499849 13721158 13821104 13834556 13935328 14070001 14186282 14289616 14523872 15431273 15929056 15954367 16215914 16334032 16469024 16628183 16749304 16765606 16887728 17164576 18532844 18686008 18992336 19004018 19161076 19475192 19636144 19648222 19958048 19970324 20135368 20465456 20634592 21902452 22083464 22445488 22459294 22644908 23016136 23206352 23220626 23586784 23601292 23796344 24186448 24386336 25693261 26114462 26330284 26761928 26778389 26999698 27442316 27642208 27669112 27686131 28140002 28372564 28579232 30364763 30862546 31647187 31908734 32431828 32668064 32719973 33256366 33498608 33531212 33775456 36797651 37065688 37372016 37984672 38008036 38045029 38322152 38950384 39272288 39296444 39940648 40270736 40930912 43488133 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10354384183 10524128186 10600786768 10611104452 10688396576 10791690767 10880878294 10960135472 11139809824 11157510793 11517430496 12435538324 12639399608 12743857456 12952773152 13067853832 13282080944 13391850208 13732320976 14576081806 14696545292 14937472264 15060922448 15070186274 15307822816 15317238508 15443827256 15697004752 15826732064 15836466932 16096081144 16229106608 17379174461 17522804002 17810063084 17939792992 17957253688 17968299019 18262861298 18413794036 18547921568 18881941342 20539024363 20708768366 21048256372 21201573536 21222208904 21235262477 21583381534 21761756588 21920270944 22315021586 24691223821 24871076648 25278799216 25487714912 26135707664 26564161888 27464641952 29152163612 29180537243 29393090584 29874944528 30121844896 30140372548 30634477016 30887654512 31394009504 31672933864 32192162288 32458213216 34197730391 34758348922 35045608004 35620126168 35914507376 35936598038 36525722596 36827588072 37763882684 40415499553 41078048726 41417536732 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233217308896 233444297944 233587887247 237417196874 239379322468 241122980384 245465237446 271603462031 273581843128 278066791376 280364864032 287492784304 292205780768 302111061472 320985909673 323323996424 328624389808 331340293856 339764199632 345334104544 357040345376 385501688044 391821387848 395059581136 405103468792 444570495083 451858535986 455592904052 463061640184 466888595888 467175774494 474834393748 478758644936 490930474892 538754408291 543206924062 547163686256 556133582752 557017269589 574985568608 636709755253 641971819346 646647992848 657248779616 658293136787 679528399264 771003376088 783642775696 790119162272 810206937584 889140990166 903717071972 911185808104 926123280368 933777191776 934351548988 949668787496 957517289872 981860949784 1060129642121 1077508816582 1086413848124 1094327372512 1114034539178 1252880486143 1273419510506 1283943638692 1293295985696 1316586273574 1542006752176 1567285551392 1620413875168 1778281980332 1807434143944 1822371616208 1852246560736 1868703097976 1899337574992 1915034579744 1963721899568 2120259284242 2155017633164 2172827696248 2228069078356 2505760972286 2546839021012 2567887277384 2633172547148 2987638082341 3084013504352 3530845006403 3556563960664 3614868287888 3644743232416 3737406195952 3798675149984 3927443799136 4240518568484 4310035266328 4345655392496 4456138156712 5011521944572 5093678042024 5135774554768 5266345094296 5975276164682 7003807307783 7061690012806 7113127921328 7229736575776 7241224504657 7474812391904 8481037136968 8620070532656 8691310784992 8912276313424 10023043889144 10187356084048 10271549109536 10532690188592 11950552329364 13781685347573 14007614615566 14123380025612 14226255842656 14482449009314 16962074273936 17240141065312 17824552626848 20046087778288 20374712168096 21065380377184 23901104658728 27563370695146 28015229231132 28246760051224 28964898018628 32864018905751 33924148547872 38839295070433 40092175556576 47802209317456 55126741390292 56030458462264 56493520102448 57929796037256 65728037811502 77678590140866 95604418634912 110253482780584 112060916924528 112987040204896 115859592074512 131456075623004 155357180281732 220506965561168 224121833849056 231719184149024 262912151246008 310714360563464 427232245774763 441013931122336 525824302492016 621428721126928 854464491549526 1051648604984032 1242857442253856 1708928983099052 3417857966198104 6835715932396208 13671431864792416
- Sum of all divisors σ(n): 34063660501787952
- Sum of proper divisors (its aliquot sum) s(n): 20392228636995536
- 13671431864792416 is an abundant number, because the sum of its proper divisors (20392228636995536) is greater than itself. Its abundance is 6720796772203120
Bases of 13671431864792416
- Binary: 1100001001001000011000010001111101111100110101011000002
- Hexadecimal: 0x30921847DF3560
- Base-36: 3QM493EDXLS
Squares and roots of 13671431864792416
- 13671431864792416 squared (136714318647924162) is 186908049233661437200514771117056
- 13671431864792416 cubed (136714318647924163) is 2555300660079268682672693660473069385141877047296
-
The
square root of 13671431864792416 is 116924898.3954761279 -
The
cube root of 13671431864792416 is 239113.8143911113
Scales and comparisons
How big is 13671431864792416?- 13,671,431,864,792,416 seconds is equal to 434,709,244 years, 40 weeks, 5 days, 18 hours, 20 minutes, 16 seconds.
-
To count from 1 to 13,671,431,864,792,416 would take you about one billion, three hundred four million, one hundred twenty-seven thousand, seven hundred thirty-four 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 13671431864792416 cubic inches would be around 19926.2 feet tall.
Recreational maths with 13671431864792416
- 13671431864792416 backwards is 61429746813417631
- The number of decimal digits it has is: 17
- The sum of 13671431864792416's digits is 73
- More coming soon!
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"Number 13671431864792416 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 13671431864792416 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13671431864792416/
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The information we have on file for 13671431864792416 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 13671431864792416, math, Factors of 13671431864792416, curriculum, school, college, exams, university, Prime factorization of 13671431864792416, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred seventy-one trillion, four hundred thirty-one billion, eight hundred sixty-four million, seven hundred ninety-two thousand, four hundred sixteen.