13825536736040388

Names of 13825536736040388

• Cardinal: 13825536736040388 can be written as Thirteen quadrillion, eight hundred twenty-five trillion, five hundred thirty-six billion, seven hundred thirty-six million, forty thousand, three hundred eighty-eight.

Scientific notation

• Scientific notation: 1.3825536736040388 × 10¹⁶

Factors of 13825536736040388

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3270

Divisors of 13825536736040388

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 293 324 342 486 513 586 684 879 972 1026 1172 1539 1758 2052 2637 2953 3078 3516 4617 5274 5567 5906 6156 7911 8859 9234 10548 11134 11812 15822 16701 17718 18468 22268 23733 26577 31644 33402 35436 47466 50103 53154 56107 66804 71199 79731 85849 94932 100206 106308 112214 142398 150309 159462 168321 171698 200412 224428 239193 257547 284796 300618 318924 336642 343396 450927 478386 504963 515094 601236 673284 717579 772641 865229 901854 956772 1009926 1030188 1352781 1435158 1514889 1545282 1631131 1730458 1803708 2019852 2317923 2595687 2705562 2870316 3029778 3090564 3262262 3460916 4544667 4635846 4893393 5191374 5411124 6059556 6524524 6953769 7787061 8720209 9089334 9271692 9786786 10382748 13634001 13907538 14680179 15574122 16439351 17440418 18178668 19573572 20861307 23361183 26160627 27268002 27815076 29360358 31148244 32878702 34880836 41722614 44040537 46722366 49318053 52321254 54536004 58720716 65757404 70083549 78481881 83445228 88081074 93444732 98636106 104642508 132121611 140167098 147954159 156963762 165683971 176162148 197272212 210250647 235445643 253512097 264243222 280334196 295908318 313927524 331367942 396364833 420501294 443862477 470891286 497051913 507024194 528486444 591816636 662735884 706336929 760536291 792729666 841002588 887724954 941782572 994103826 1014048388 1331587431 1412673858 1491155739 1521072582 1585459332 1775449908 1988207652 2119010787 2281608873 2555021237 2663174862 2825347716 2982311478 3042145164 3994762293 4238021574 4473467217 4563217746 4816729843 5110042474 5326349724 5964622956 6844826619 7665063711 7989524586 8476043148 8946934434 9126435492 9633459686 10220084948 13420401651 13689653238 14450189529 15330127422 15979049172 17893868868 19266919372 20534479857 22995191133 26840803302 27379306476 28900379058 30660254844 40261204953 41068959714 43350568587 45990382266 48545403503 53681606604 57800758116 61603439571 68985573399 80522409906 82137919428 86701137174 91980764532 97090807006 123206879142 130051705761 137971146798 145636210509 161044819812 173402274348 194181614012 206956720197 246413758284 260103411522 275942293596 291272421018 390155117283 413913440394 436908631527 520206823044 582544842036 620870160591 748621222441 780310234566 827826880788 873817263054 1170465351849 1241740321182 1310725894581 1497242444882 1560620469132 1747634526108 2245863667323 2340930703698 2483480642364 2621451789162 2994484889764 3932177683743 4491727334646 4681861407396 5242903578324 6737591001969 7864355367486 8983454669292 11796533051229 13475182003938 14223803226379 15728710734972 20212773005907 23593066102458 26950364007876 28447606452758 40425546011814 42671409679137 47186132204916 56895212905516 60638319017721 80851092023628 85342819358274 121276638035442 128014229037411 170685638716548 181914957053163 242553276070884 256028458074822 363829914106326 384042687112233 512056916149644 727659828212652 768085374224466 1152128061336699 1536170748448932 2304256122673398 3456384184010097 4608512245346796 6912768368020194 13825536736040388
• Sum of all divisors σ(n): 38293353368546640
• Sum of proper divisors (its aliquot sum) s(n): 24467816632506252
• 13825536736040388 is an abundant number, because the sum of its proper divisors (24467816632506252) is greater than itself. Its abundance is 10642279896465864

Bases of 13825536736040388

• Binary: 110001000111100100000010011101111110110001010111000100₂
• Hexadecimal: 0x311E409DFB15C4
• Base-36: 3S4QRW7UW90

Squares and roots of 13825536736040388

• 13825536736040388 squared (13825536736040388²) is 191145466039602305251388767190544
• 13825536736040388 cubed (13825536736040388³) is 2642688662658082085165768573715110673353675691072
• The square root of 13825536736040388 is 117582042.5747077589
• The cube root of 13825536736040388 is 240008.8928188685

Scales and comparisons

• 13,825,536,736,040,388 seconds is equal to 439,609,303 years, 4 days, 18 hours, 19 minutes, 48 seconds.
• To count from 1 to 13,825,536,736,040,388 would take you about one billion, three hundred eighteen million, eight hundred twenty-seven thousand, nine 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 13825536736040388 cubic inches would be around 20000.7 feet tall.

Recreational maths with 13825536736040388

• 13825536736040388 backwards is 88304063763552831
• The number of decimal digits it has is: 17
• The sum of 13825536736040388's digits is 72
• More coming soon!