13997601658656
13,997,601,658,656 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13997601658656 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
13997601658656 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13997601658656:
25 × 32 × 7 × 112 × 292 × 312 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 29 × 29 × 31 × 31 × 71)See below for interesting mathematical facts about the number 13997601658656 from the Numbermatics database.
Names of 13997601658656
- Cardinal: 13997601658656 can be written as Thirteen trillion, nine hundred ninety-seven billion, six hundred one million, six hundred fifty-eight thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 1.3997601658656 × 1013
Factors of 13997601658656
Divisors of 13997601658656
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 29 31 32 33 36 42 44 48 56 58 62 63 66 71 72 77 84 87 88 93 96 99 112 116 121 124 126 132 142 144 154 168 174 176 186 198 203 213 217 224 231 232 242 248 252 261 264 279 284 288 308 319 336 341 348 352 363 372 396 406 426 434 462 464 484 496 497 504 522 528 558 568 609 616 638 639 651 672 682 693 696 726 744 781 792 812 841 847 852 868 899 924 928 957 961 968 992 994 1008 1023 1044 1056 1089 1116 1136 1218 1232 1276 1278 1302 1364 1386 1392 1452 1488 1491 1562 1584 1624 1682 1694 1704 1736 1798 1827 1848 1914 1922 1936 1953 1988 2016 2046 2059 2088 2178 2201 2232 2233 2272 2343 2387 2436 2464 2523 2541 2552 2556 2604 2697 2728 2772 2784 2871 2883 2904 2976 2982 3069 3124 3168 3248 3364 3388 3408 3472 3509 3596 3654 3696 3751 3828 3844 3872 3906 3976 4092 4118 4176 4356 4402 4464 4466 4473 4686 4774 4872 5046 5082 5104 5112 5208 5394 5456 5467 5544 5742 5766 5808 5887 5964 6138 6177 6248 6293 6496 6603 6699 6727 6728 6776 6816 6944 7018 7029 7161 7192 7308 7392 7502 7569 7623 7656 7688 7812 7952 8091 8184 8236 8352 8591 8649 8712 8804 8928 8932 8946 9251 9372 9548 9744 9889 10092 10164 10208 10224 10416 10527 10571 10788 10912 10934 11088 11253 11484 11532 11616 11774 11928 12276 12354 12496 12586 13206 13398 13454 13456 13552 14036 14058 14322 14384 14413 14616 15004 15138 15246 15312 15376 15407 15624 15904 16182 16368 16401 16472 17182 17298 17424 17608 17661 17864 17892 18502 18531 18744 18879 19096 19488 19778 19809 20097 20181 20184 20328 20448 20832 21054 21142 21483 21576 21868 22176 22506 22649 22968 23064 23548 23856 24211 24552 24563 24708 24992 25172 25773 26071 26257 26412 26796 26908 26912 27104 27753 27869 28072 28116 28644 28768 28826 29232 29667 30008 30276 30492 30624 30752 30814 31248 31581 31713 32364 32736 32802 32944 33759 34364 34596 34848 35216 35322 35728 35784 37004 37062 37488 37758 38192 39556 39618 40194 40362 40368 40656 42108 42284 42966 43152 43239 43736 45012 45298 45936 46128 46221 47096 47712 48422 49104 49126 49203 49416 50344 51546 52142 52514 52824 52983 53592 53816 55506 55738 56144 56232 56637 57288 57652 58464 59334 59711 60016 60137 60543 60552 60984 61628 62496 63162 63426 63829 64728 64757 65604 65888 67518 67947 68231 68728 69192 69223 70432 70644 71456 71568 72633 73689 73997 74008 74124 74976 75516 76384 77319 78213 78771 79112 79236 80388 80724 80736 81312 83259 83607 84216 84568 85932 86304 86478 87472 89001 90024 90596 91872 92256 92442 94192 95139 96844 98208 98252 98406 98832 100688 101761 103092 104284 105028 105648 105966 107184 107632 108779 111012 111476 112288 112464 113274 114576 115304 116281 118668 119422 120032 120274 121086 121104 121968 123256 126324 126852 127658 129456 129514 129717 131208 135036 135894 136462 137456 138384 138446 138663 141288 143136 145266 147378 147994 148016 148248 151032 154638 156426 157542 158224 158472 158543 160776 161448 166518 167214 168432 169136 169477 171864 172956 174944 178002 179133 180048 180411 181192 182497 184884 188384 190278 191487 193688 194271 195083 196504 196812 197664 201376 203522 203841 204693 206184 207669 208568 210056 211296 211932 214368 215264 217558 217899 221067 221991 222024 222952 224928 226548 229152 230608 232562 234639 236313 237336 238844 240548 242172 242208 243936 246512 249139 250821 252648 253704 255316 258912 259028 259434 262416 266321 270072 271788 272924 274912 276768 276892 277326 282576 286781 290532 294756 295988 296032 296496 302064 305283 306559 309276 312852 315084 316448 316944 317086 321552 322896 326337 333036 334428 336864 338272 338954 343728 345912 348843 356004 358266 360096 360822 362384 364994 369768 380556 382974 387376 388542 390166 393008 393624 407044 407682 409386 412368 415338 417136 417977 420112 423864 435116 435798 442134 443982 444048 445904 446803 453096 461216 465124 469278 472626 474672 475629 477617 477688 481096 484344 493024 498278 501642 505296 507408 508431 510632 518056 518868 524832 532642 537399 540144 541233 543576 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103658296 106682532 107908768 108077904 108126326 109649232 110345928 110807144 113565276 114764542 115583314 115600496 116380944 116615583 117211248 117955992 120377376 121397364 122168706 123572944 124462954 124658037 125566056 126090888 128679264 130050558 130594134 132095216 132492822 133274952 134225784 135777768 137553696 139019562 141630258 142243376 142466328 142530157 144537624 147127904 148607118 151420368 151725651 152359823 154505736 155487444 157274656 160023798 161863152 162189489 162891608 165518892 166210716 167421408 168121184 172146813 173374971 173400744 174125512 176657096 176933988 177699936 178967712 181037024 183253059 185359416 186694431 188840344 189136332 189164448 189955104 192716832 195584642 195891201 198142824 198739233 202210272 202300868 203666652 205150176 206007648 207316592 212445387 213365064 216155808 216252652 219298464 220691856 221614288 223975961 227130552 229529084 231166628 231200992 232761888 233231166 234422496 235911984 239422579 242794728 244337412 247145888 248925908 249316074 251132112 252181776 260101116 261188268 264190432 264985644 266549904 268451568 271555536 278039124 283260516 284486752 284932656 285060314 289075248 293376963 297214236 302840736 303451302 304719646 309011472 310974888 320047596 323726304 324378978 325783216 331037784 332421432 344293626 346749942 346801488 348251024 353314192 353867976 366506118 370718832 373388862 377680688 378272664 391169284 391782402 396285648 397478466 401675897 404601736 407333304 414633184 424890774 426730128 427590471 432505304 441383712 443228576 447951922 454261104 455176953 457079469 459058168 462333256 466462332 471823968 478845158 485589456 486568467 488674824 497851816 498632148 502264224 504363552 516440439 520124913 520202232 522376536 529971288 533099808 536903136 543111072 556078248 560083293 566521032 569865312 570120628 578150496 586753926 594428472 606902604 609439292 618022944 621949776 631204981 640095192 648757956 651566432 662075568 664842864 671927883 684546247 688587252 693499884 693602976 696502048 706628384 707735952 718267737 733012236 741437664 746777724 755361376 756545328 782338568 783564804 792571296 794956932 803351794 809203472 814666608 849781548 853460256 855180942 865010608 880130889 895903844 908522208 910353906 914158938 918116336 924666512 932924664 957690316 971178912 973136934 977349648 995703632 997264296 1032880878 1040249826 1040404464 1044753072 1059942576 1112156496 1120166586 1133042064 1140241256 1173507852 1188856944 1205027691 1213805208 1218878584 1243899552 1262409962 1280190384 1282771413 1297515912 1324151136 1329685728 1343855766 1369092494 1371238407 1377174504 1386999768 1415471904 1436535474 1466024472 1493555448 1513090656 1564677136 1567129608 1567831727 1589913864 1606703588 1618406944 1629333216 1675958053 1699563096 1710361884 1730021216 1760261778 1791807688 1820707812 1828317876 1836232672 1849333024 1865849328 1893614943 1915380632 1946273868 1954699296 1991407264 1994528592 2015783649 2053638741 2065761756 2080499652 2080808928 2089506144 2119885152 2154803211 2224312992 2240333172 2266084128 2280482512 2347015704 2377713888 2410055382 2427610416 2437757168 2524819924 2560380768 2565542826 2595031824 2687711532 2738184988 2742476814 2754349008 2773999536 2873070948 2932048944 2987110896 3129354272 3134259216 3135663454 3179827728 3213407176 3351916106 3399126192 3420723768 3520523556 3583615376 3615083073 3641415624 3656635752 3731698656 3787229886 3830761264 3892547736 3989057184 4031567298 4107277482 4131523512 4160999304 4309606422 4418434867 4480666344 4560965024 4694031408 4703495181 4820110764 4855220832 4875514336 5027874159 5049639848 5131085652 5190063648 5375423064 5476369976 5484953628 5508698016 5547999072 5680844829 5746141896 5864097888 5974221792 6160916223 6268518432 6271326908 6359655456 6426814352 6703832212 6798252384 6841447536 6943254791 7041047112 7167230752 7230166146 7282831248 7313271504 7574459772 7661522528 7785095472 8063134596 8214554964 8263047024 8321998608 8619212844 8836869734 8961332688 9388062816 9406990362 9640221528 10055748318 10099279696 10262171304 10750846128 10952739952 10969907256 11361689658 11492283792 12321832446 12542653816 12853628704 13255304601 13407664424 13682895072 13886509582 14082094224 14110485543 14460332292 14565662496 14626543008 15083622477 15148919544 15570190944 16126269192 16429109928 16526094048 16643997216 17238425688 17673739468 17922665376 18813980724 19280443056 20111496636 20198559392 20524342608 20829764373 21501692256 21905479904 21939814512 22723379316 22984567584 24643664892 25085307632 26510609202 26815328848 27773019164 28164188448 28220971086 28920664584 30167244954 30297839088 32252538384 32858219856 34476851376 35347478936 37627961448 38560886112 39765913803 40222993272 41048685216 41659528746 43879629024 45446758632 48602783537 49287329784 50170615264 53021218404 53630657696 55546038328 56441942172 57841329168 60334489908 60595678176 62489293119 64505076768 65716439712 68953702752 70694957872 75255922896 79531827606 80445986544 83319057492 90893517264 97205567074 98574659568 106042436808 111092076656 112883884344 115682658336 120668979816 124978586238 141389915744 145808350611 150511845792 159063655212 160891973088 166638114984 181787034528 194411134148 197149319136 212084873616 222184153312 225767768688 241337959632 249957172476 291616701222 318127310424 333276229968 388822268296 424169747232 437425051833 451535537376 482675919264 499914344952 583233402444 636254620848 666552459936 777644536592 874850103666 999828689904 1166466804888 1272509241696 1555289073184 1749700207332 1999657379808 2332933609776 3499400414664 4665867219552 6998800829328 13997601658656
- Sum of all divisors σ(n): 54265702510656
- Sum of proper divisors (its aliquot sum) s(n): 40268100852000
- 13997601658656 is an abundant number, because the sum of its proper divisors (40268100852000) is greater than itself. Its abundance is 26270499193344
Bases of 13997601658656
- Binary: 110010111011000100100001001100010111001000002
- Hexadecimal: 0xCBB12131720
- Base-36: 4YMEQMBS0
Squares and roots of 13997601658656
- 13997601658656 squared (139976016586562) is 195932852194409202339726336
- 13997601658656 cubed (139976016586563) is 2742590016861663140040543276794725564416
-
The
square root of 13997601658656 is 3741336.8812038297 -
The
cube root of 13997601658656 is 24100.0462908129
Scales and comparisons
How big is 13997601658656?- 13,997,601,658,656 seconds is equal to 445,080 years, 22 weeks, 4 days, 10 hours, 57 minutes, 36 seconds.
-
To count from 1 to 13,997,601,658,656 would take you about one million, one hundred twelve thousand, seven hundred 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 13997601658656 cubic inches would be around 2008.3 feet tall.
Recreational maths with 13997601658656
- 13997601658656 backwards is 65685610679931
- 13997601658656 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13997601658656's digits is 72
- More coming soon!
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"Number 13997601658656 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13997601658656 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13997601658656/
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The information we have on file for 13997601658656 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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