14007688341906116
14,007,688,341,906,116 is an even composite number composed of seven prime numbers multiplied together.
What does the number 14007688341906116 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
14007688341906116 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 14007688341906116:
22 × 112 × 133 × 17 × 19 × 313 × 372
(2 × 2 × 11 × 11 × 13 × 13 × 13 × 17 × 19 × 31 × 31 × 31 × 37 × 37)See below for interesting mathematical facts about the number 14007688341906116 from the Numbermatics database.
Names of 14007688341906116
- Cardinal: 14007688341906116 can be written as Fourteen quadrillion, seven trillion, six hundred eighty-eight billion, three hundred forty-one million, nine hundred six thousand, one hundred sixteen.
Scientific notation
- Scientific notation: 1.4007688341906116 × 1016
Factors of 14007688341906116
Divisors of 14007688341906116
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 11 13 17 19 22 26 31 34 37 38 44 52 62 68 74 76 121 124 143 148 169 187 209 221 242 247 286 323 338 341 374 403 407 418 442 481 484 494 527 572 589 629 646 676 682 703 748 806 814 836 884 961 962 988 1054 1147 1178 1258 1292 1364 1369 1406 1573 1612 1628 1859 1922 1924 2057 2108 2197 2294 2299 2356 2431 2516 2717 2738 2812 2873 3146 3211 3553 3718 3751 3844 4114 4199 4394 4433 4477 4588 4598 4862 5239 5291 5434 5476 5746 5797 6253 6292 6422 6479 6851 6919 7106 7436 7502 7657 7733 8177 8228 8398 8788 8866 8954 9139 9196 9724 10013 10478 10571 10582 10868 11492 11594 11951 12493 12506 12617 12844 12958 13702 13838 14212 14911 15004 15059 15314 15466 16337 16354 16796 17732 17797 17908 18259 18278 19499 20026 20449 20956 21142 21164 21793 23188 23273 23902 24167 24986 25012 25234 25916 26011 26741 27404 27676 29791 29822 29887 30118 30628 30932 31603 32674 32708 35321 35557 35594 36518 36556 37349 38998 39083 40052 40898 41743 42284 42439 43586 46189 46546 47804 48334 48763 49972 50468 52022 53482 54587 57629 58201 59582 59644 59774 60236 63206 63767 65348 68107 68783 70642 71114 71188 71269 73036 74698 75361 76109 77996 78166 81289 81796 83486 84227 84878 85063 87172 89063 89947 92378 93092 96668 97526 99541 100529 104044 106301 106964 109174 110143 115258 116281 116402 118807 119164 119548 126412 127534 130169 131461 136214 137423 137566 138787 141284 142228 142538 149396 150722 152218 155363 156332 162409 162578 164021 165649 166972 168454 169756 170126 178126 179707 179894 184756 193843 195052 195767 199082 200849 201058 212381 212602 214489 218348 220286 230516 231361 232562 232804 237367 237614 239723 253487 255068 256003 260338 262922 265837 272428 274846 275132 277574 283309 285076 286121 301444 302549 304436 310403 310726 324818 325156 327701 328042 331298 336908 338143 340252 347633 356252 359414 359788 370481 387283 387686 388531 391127 391534 398164 401698 402116 410839 424762 425204 428978 440572 442187 459173 462241 462722 465124 466829 474734 475228 479446 506447 506974 508079 512006 520676 525844 531674 549692 551707 555148 566029 566618 572242 600457 604469 605098 620806 621452 633919 649636 655402 656084 662596 675583 676286 695266 709631 718828 721463 740962 749177 756613 774566 775372 777062 782254 783068 803396 806341 821678 828971 849524 857956 884374 894179 918346 924482 925444 926497 933658 949468 958892 979693 989417 1012894 1013948 1016158 1024012 1063348 1094951 1102267 1103414 1105819 1132058 1133236 1144484 1157819 1169311 1200914 1208938 1210196 1211573 1241612 1267838 1294033 1306877 1310804 1315609 1351166 1352572 1381913 1390532 1419262 1431859 1442926 1446071 1481924 1498354 1511653 1513226 1544491 1549132 1554124 1564508 1612682 1643356 1657942 1692197 1708993 1768748 1786499 1788358 1804231 1836692 1848964 1852994 1867316 1959386 1976777 1978834 2019719 2025788 2032316 2111317 2132273 2153437 2189902 2204534 2206828 2209339 2211638 2264116 2315638 2336191 2338622 2359379 2401828 2417876 2423146 2519959 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102835893094 106553946356 107611553764 109834932974 110809799243 117172084367 117549665519 117902887388 120338897458 120464120036 121533328202 127177290812 128306083334 130957035469 131773815316 134632351139 139339776004 140722801076 143630296966 144905122087 150471451273 151634462122 155732690828 157278424732 160690225553 164674280732 165033204622 166308764908 167784878206 171251507921 172319604644 179204364326 179594957971 184047725524 185874501956 187524275642 191791559531 196546722164 196770359357 196975115194 198291219698 203650441852 205671786188 214355272417 219669865948 221619598486 232546788331 234344168734 234854945039 235099331038 240677794916 243066656404 256612166668 261914070938 269264702278 277555844137 280310740853 287260593932 289810244174 293023352479 300942902546 303268924244 321380451106 330066409244 331276330099 335569756412 342503015842 349737549733 358408728652 359189915942 375048551284 383184384011 383583119062 393540718714 393950230388 396582439396 428264899777 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2226269602973 2240154860372 2416368525428 2437815583346 2558014671641 2577785856074 2647455744076 2673733220444 2881054780318 3046474193542 3053114285507 3128811333908 3159866533252 3187912685914 3335958166684 3404882922194 3644039631089 3734387721116 3767533174262 3942496015172 4362406833356 4452539205946 4875631166692 4981396992143 5116029343282 5155571712148 5567443697101 5762109560636 5945538345461 6092948387084 6106228571014 6375825371828 6645013444927 6809765844388 7280503296209 7288079262178 7535066348524 8604231168247 8689632966443 8905078411892 9962793984286 10232058686564 10269566233069 10841864041723 11134887394202 11891076690922 12212457142028 13290026889854 14177822208407 14561006592418 14576158524356 15845801291749 16755608064481 17208462336494 17379265932886 18726856072067 19925587968572 20539132466138 20721432458441 21683728083446 22269774788404 23782153381844 24488965632703 26580053779708 28355644416814 28941504838649 29122013184836 31691602583498 33511216128962 34416924672988 34758531865772 37453712144134 41078264932276 41442864916882 43367456166892 48977931265406 56711288833628 57883009677298 63383205166996 67022432257924 74907424288268 82885729833764 94646542850717 97955862530812 112965228563759 115766019354596 184311688709291 189293085701434 205995416792737 225930457127518 269378621959733 318356553225139 368623377418582 378586171402868 411990833585474 451860914255036 538757243919466 636713106450278 737246754837164 823981667170948 1077514487838932 1273426212900556 3501922085476529 7003844170953058 14007688341906116
- Sum of all divisors σ(n): 34550018686310400
- Sum of proper divisors (its aliquot sum) s(n): 20542330344404284
- 14007688341906116 is an abundant number, because the sum of its proper divisors (20542330344404284) is greater than itself. Its abundance is 6534642002498168
Bases of 14007688341906116
- Binary: 1100011100001111101011000101111011111001100010110001002
- Hexadecimal: 0x31C3EB17BE62C4
- Base-36: 3TXB76QZ4CK
Squares and roots of 14007688341906116
- 14007688341906116 squared (140076883419061162) is 196215332683972513339408158205456
- 14007688341906116 cubed (140076883419061163) is 2748523228140511865059165071431900656468990968896
-
The
square root of 14007688341906116 is 118354080.3770876165 -
The
cube root of 14007688341906116 is 241058.3373860493
Scales and comparisons
How big is 14007688341906116?- 14,007,688,341,906,116 seconds is equal to 445,401,160 years, 33 weeks, 4 days, 18 hours, 21 minutes, 56 seconds.
-
To count from 1 to 14,007,688,341,906,116 would take you about one billion, three hundred thirty-six million, two hundred three thousand, four hundred 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 14007688341906116 cubic inches would be around 20088.2 feet tall.
Recreational maths with 14007688341906116
- 14007688341906116 backwards is 61160914388670041
- The number of decimal digits it has is: 17
- The sum of 14007688341906116's digits is 65
- More coming soon!
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MLA style:
"Number 14007688341906116 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 14007688341906116 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/14007688341906116/
Chicago style:
Numbermatics. 2024. "Number 14007688341906116 - Facts about the integer". https://numbermatics.com/n/14007688341906116/
The information we have on file for 14007688341906116 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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