13345312152135744

Names of 13345312152135744

• Cardinal: 13345312152135744 can be written as Thirteen quadrillion, three hundred forty-five trillion, three hundred twelve billion, one hundred fifty-two million, one hundred thirty-five thousand, seven hundred forty-four.

Scientific notation

• Scientific notation: 1.3345312152135744 × 10¹⁶

Factors of 13345312152135744

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 145877

Divisors of 13345312152135744

• Number of divisors d(n): 315
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 121 132 144 162 176 192 198 216 242 264 288 297 324 352 363 396 432 484 528 576 594 648 704 726 792 864 891 968 1056 1089 1188 1296 1452 1584 1728 1782 1936 2112 2178 2376 2592 2904 3168 3267 3564 3872 4356 4752 5184 5808 6336 6534 7128 7744 8712 9504 9801 11616 13068 14256 17424 19008 19602 23232 26136 28512 34848 39204 52272 57024 69696 78408 104544 145861 156816 209088 291722 313632 437583 583444 627264 875166 1166888 1312749 1604471 1750332 2333776 2625498 3208942 3500664 3938247 4667552 4813413 5250996 6417884 7001328 7876494 9335104 9626826 10501992 11814741 12835768 14002656 14440239 15752988 17649181 19253652 21003984 23629482 25671536 28005312 28880478 31505976 35298362 38507304 42007968 43320717 47258964 51343072 52947543 57760956 63011952 70596724 77014608 84015936 86641434 94517928 102686144 105895086 115521912 126023904 129962151 141193448 154029216 158842629 173282868 189035856 211790172 231043824 252047808 259924302 282386896 308058432 317685258 346565736 378071712 423580344 462087648 476527887 519848604 564773792 635370516 693131472 756143424 847160688 924175296 953055774 1039697208 1129547584 1270741032 1386262944 1429583661 1694321376 1906111548 2079394416 2541482064 2772525888 2859167322 3388642752 3812223096 4158788832 5082964128 5718334644 7624446192 8317577664 10165928256 11436669288 15248892384 21275431321 22873338576 30497784768 42550862642 45746677152 63826293963 85101725284 91493354304 127652587926 170203450568 191478881889 234029744531 255305175852 340406901136 382957763778 468059489062 510610351704 574436645667 680813802272 702089233593 765915527556 936118978124 1021220703408 1148873291334 1361627604544 1404178467186 1531831055112 1723309937001 1872237956248 2042441406816 2106267700779 2297746582668 2574327189841 2808356934372 3063662110224 3446619874002 3744475912496 4084882813632 4212535401558 4595493165336 5148654379682 5616713868744 6127324220448 6318803102337 6893239748004 7488951824992 7722981569523 8425070803116 9190986330672 10297308759364 11233427737488 12254648440896 12637606204674 13786479496008 14977903649984 15445963139046 16850141606232 18381972661344 18956409307011 20594617518728 22466855474976 23168944708569 25275212409348 27572958992016 30891926278092 33700283212464 36763945322688 37912818614022 41189235037456 44933710949952 46337889417138 50550424818696 55145917984032 61783852556184 67400566424928 69506834125707 75825637228044 82378470074912 92675778834276 101100849637392 110291835968064 123567705112368 134801132849856 139013668251414 151651274456088 164756940149824 185351557668552 202201699274784 208520502377121 247135410224736 278027336502828 303302548912176 370703115337104 404403398549568 417041004754242 494270820449472 556054673005656 606605097824352 741406230674208 834082009508484 1112109346011312 1213210195648704 1482812461348416 1668164019016968 2224218692022624 3336328038033936 4448437384045248 6672656076067872 13345312152135744
• Sum of all divisors σ(n): 43483258677964413
• Sum of proper divisors (its aliquot sum) s(n): 30137946525828669
• 13345312152135744 is an abundant number, because the sum of its proper divisors (30137946525828669) is greater than itself. Its abundance is 16792634373692925

Bases of 13345312152135744

• Binary: 101111011010010111110110011110001111101010100001000000₂
• Hexadecimal: 0x2F697D9E3EA840
• Base-36: 3NEINRLMS00

Squares and roots of 13345312152135744

• 13345312152135744 squared (13345312152135744²) is 178097356437941963209540602433536
• 13345312152135744 cubed (13345312152135744³) is 2376764815134517963043331117847584632666209910784
• 13345312152135744 is a perfect square number. Its square root is 115521912
• The cube root of 13345312152135744 is 237197.2113445151

Scales and comparisons

• 13,345,312,152,135,744 seconds is equal to 424,339,646 years, 35 weeks, 1 day, 11 hours, 2 minutes, 24 seconds.
• To count from 1 to 13,345,312,152,135,744 would take you about one billion, two hundred seventy-three million, eighteen thousand, nine hundred forty 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 13345312152135744 cubic inches would be around 19766.4 feet tall.

Recreational maths with 13345312152135744

• 13345312152135744 backwards is 44753125121354331
• 13345312152135744 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13345312152135744's digits is 54
• More coming soon!