13998515827378368
13,998,515,827,378,368 is an even composite number composed of six prime numbers multiplied together.
What does the number 13998515827378368 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1890 divisors.
13998515827378368 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 13998515827378368:
26 × 3 × 112 × 132 × 294 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 13 × 29 × 29 × 29 × 29 × 71 × 71)See below for interesting mathematical facts about the number 13998515827378368 from the Numbermatics database.
Names of 13998515827378368
- Cardinal: 13998515827378368 can be written as Thirteen quadrillion, nine hundred ninety-eight trillion, five hundred fifteen billion, eight hundred twenty-seven million, three hundred seventy-eight thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3998515827378368 × 1016
Factors of 13998515827378368
Divisors of 13998515827378368
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 29 32 33 39 44 48 52 58 64 66 71 78 87 88 96 104 116 121 132 142 143 156 169 174 176 192 208 213 232 242 264 284 286 312 319 338 348 352 363 377 416 426 429 464 484 507 528 568 572 624 638 676 696 704 726 754 781 832 841 852 858 923 928 957 968 1014 1056 1131 1136 1144 1248 1276 1352 1392 1452 1508 1562 1573 1682 1704 1716 1846 1856 1859 1914 1936 2028 2059 2112 2262 2272 2288 2343 2496 2523 2552 2704 2769 2784 2904 3016 3124 3146 3364 3408 3432 3509 3692 3718 3828 3872 4056 4118 4147 4524 4544 4576 4686 4719 4901 5041 5046 5104 5408 5538 5568 5577 5808 6032 6177 6248 6292 6728 6816 6864 7018 7384 7436 7656 7744 8112 8236 8294 8591 9048 9152 9251 9372 9438 9802 10082 10092 10153 10208 10527 10816 10933 11076 11154 11616 11999 12064 12354 12441 12496 12584 13456 13632 13728 14036 14703 14768 14872 15123 15312 16224 16472 16588 17182 18096 18502 18744 18876 19604 20164 20184 20306 20416 20449 21054 21866 22152 22308 22649 23232 23998 24128 24389 24708 24882 24992 25168 25773 26767 26912 27456 27753 28072 29406 29536 29744 30246 30459 30624 32448 32799 32944 33176 34364 35997 36192 37004 37488 37752 39208 40328 40368 40612 40898 42108 43732 44304 44616 45298 45617 47996 48778 49416 49764 49984 50336 51546 53534 53824 53911 55451 55506 56144 58812 59072 59488 59711 60492 60918 61248 61347 65533 65598 65888 66352 67947 68728 71994 72384 73167 74008 74976 75504 78416 80301 80656 80736 81224 81796 84216 87464 88608 89232 90596 91234 95992 97556 98832 99528 100672 101761 103092 107068 107822 110902 111012 111683 112288 117624 118976 119422 120263 120984 121836 122694 131066 131196 131776 131989 132704 135894 136851 137456 142129 143988 146189 146334 148016 149952 151008 156832 160602 161312 161472 161733 162448 163592 166353 168432 174928 177216 178464 179133 181192 182468 191984 195112 196599 197664 199056 203522 206184 214136 215644 221804 222024 223366 224576 235248 238844 240526 241968 243672 245388 249139 262132 262392 263978 265408 268279 271788 273702 274912 284258 287976 292378 292668 294437 296032 302016 305283 313664 317057 321204 322624 323466 324896 327184 332706 335049 336864 347971 349856 356928 358266 360789 362384 364936 383968 390224 393198 395328 395967 398112 407044 412368 426387 428272 431288 438567 443608 444048 446732 470496 477688 481052 483936 487344 490776 498278 524264 524784 527956 536558 543576 547404 549824 568516 575952 584756 585336 588874 592064 593021 609961 610566 634114 642408 646932 649792 654368 656821 665412 670098 673728 695942 699712 707281 716532 720863 721578 724768 729872 747417 767936 776243 780448 786396 791934 796224 804837 814088 824736 851929 852774 856544 862576 877134 883311 887216 888096 893464 940992 951171 955376 962104 967872 974688 981552 996556 1043913 1048528 1049568 1055912 1073116 1087152 1094808 1137032 1151904 1169512 1170672 1177748 1186042 1219922 1221132 1268228 1284816 1293864 1308736 1313642 1322893 1330824 1340196 1391884 1414562 1433064 1441726 1443156 1449536 1451879 1459744 1494834 1552486 1560896 1563419 1572792 1583868 1608079 1609674 1628176 1649472 1703858 1705548 1713088 1725152 1731619 1754268 1766622 1774432 1776192 1779063 1786928 1829883 1900457 1902342 1910752 1924208 1949376 1963104 1970463 1993112 2087826 2097056 2099136 2111824 2121843 2146232 2162589 2174304 2189616 2274064 2303808 2328729 2339024 2341344 2355496 2372084 2439844 2442264 2536456 2555787 2569632 2587728 2627284 2645786 2661648 2680392 2783768 2829124 2866128 2883452 2886312 2903758 2919488 2951069 2989668 3104972 3126838 3145584 3167736 3216158 3219348 3238807 3256352 3407716 3411096 3450304 3463238 3487627 3508536 3533244 3548864 3558126 3573856 3659766 3800914 3804684 3821504 3827681 3848416 3926208 3940926 3968679 3986224 4121741 4175652 4194112 4223648 4239481 4243686 4292464 4325178 4348608 4355637 4379232 4548128 4657458 4678048 4682688 4690257 4710992 4744168 4824237 4879688 4884528 5072912 5111574 5139264 5175456 5194857 5254568 5291572 5323296 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1166542985614864 1272592347943488 1749814478422296 2333085971229728 3499628956844592 4666171942459456 6999257913689184 13998515827378368
- Sum of all divisors σ(n): 46309935134624196
- Sum of proper divisors (its aliquot sum) s(n): 32311419307245828
- 13998515827378368 is an abundant number, because the sum of its proper divisors (32311419307245828) is greater than itself. Its abundance is 18312903479867460
Bases of 13998515827378368
- Binary: 1100011011101110010011011100110100011000001000110000002
- Hexadecimal: 0x31BB93734608C0
- Base-36: 3TU25E4NIDC
Squares and roots of 13998515827378368
- 13998515827378368 squared (139985158273783682) is 195958445369362674802003834343424
- 13998515827378368 cubed (139985158273783683) is 2743127399011482669176419782910591604164500652032
-
The
square root of 13998515827378368 is 118315323.7217325453 -
The
cube root of 13998515827378368 is 241005.7092899645
Scales and comparisons
How big is 13998515827378368?- 13,998,515,827,378,368 seconds is equal to 445,109,503 years, 3 weeks, 4 hours, 12 minutes, 48 seconds.
-
To count from 1 to 13,998,515,827,378,368 would take you about one billion, three hundred thirty-five million, three hundred twenty-eight thousand, five hundred nine 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 13998515827378368 cubic inches would be around 20083.8 feet tall.
Recreational maths with 13998515827378368
- 13998515827378368 backwards is 86387372851589931
- The number of decimal digits it has is: 17
- The sum of 13998515827378368's digits is 93
- More coming soon!
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MLA style:
"Number 13998515827378368 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 13998515827378368 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13998515827378368/
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Numbermatics. 2024. "Number 13998515827378368 - Facts about the integer". https://numbermatics.com/n/13998515827378368/
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