13648681741968

Names of 13648681741968

• Cardinal: 13648681741968 can be written as Thirteen trillion, six hundred forty-eight billion, six hundred eighty-one million, seven hundred forty-one thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3648681741968 × 10¹³

Factors of 13648681741968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 6236

Divisors of 13648681741968

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 81 84 91 104 108 112 117 126 144 156 162 168 182 189 208 216 234 243 252 273 312 324 336 351 364 378 432 468 486 504 546 567 624 648 702 728 756 819 936 972 1008 1053 1092 1134 1296 1404 1456 1512 1638 1701 1872 1944 2106 2184 2268 2457 2808 3024 3159 3276 3402 3888 4212 4368 4536 4914 5616 6211 6318 6552 6804 7371 8424 9072 9828 12422 12636 13104 13608 14742 16848 18633 19656 22113 24844 25272 27216 29484 37266 39312 43477 44226 49688 50544 55899 58968 74532 80743 86954 88452 99376 111798 117936 130431 149064 161486 167697 173908 176904 223596 242229 260862 298128 322972 335394 347816 353808 391293 447192 484458 503091 521724 565201 645944 670788 695632 726687 782586 894384 968916 1006182 1043448 1130402 1173879 1291888 1341576 1453374 1509273 1565172 1695603 1937832 2012364 2086896 2180061 2260804 2347758 2683152 2906748 3018546 3130344 3391206 3521637 3875664 4024728 4360122 4521608 4695516 5086809 5813496 6037092 6260688 6540183 6782412 7043274 8049456 8720244 9043216 9391032 10173618 10564911 11626992 12074184 13080366 13564824 14086548 15260427 17440488 18782064 19620549 20347236 21129822 24148368 26160732 27129648 28173096 30520854 34880976 38576521 39241098 40694472 42259644 45781281 52321464 56346192 61041708 77153042 78482196 81388944 84519288 91562562 104642928 115729563 122083416 137343843 154306084 156964392 169038576 183125124 231459126 244166832 270035647 274687686 308612168 313928784 347188689 366250248 462918252 501494773 540071294 549375372 617224336 694377378 732500496 810106941 925836504 1002989546 1041566067 1080142588 1098750744 1388754756 1504484319 1620213882 1851673008 2005979092 2083132134 2160285176 2197501488 2430320823 2777509512 3008968638 3124698201 3240427764 3510463411 4011958184 4166264268 4320570352 4513452957 4860641646 5555019024 6017937276 6249396402 6480855528 7020926822 7290962469 8023916368 8332528536 9026905914 9374094603 9721283292 10531390233 12035874552 12498792804 12961711056 13540358871 14041853644 14581924938 16665057072 18053811828 18748189206 19442566584 21062780466 21872887407 24071749104 24997585608 27080717742 28083707288 29163849876 31594170699 36107623656 37496378412 38885133168 40621076613 42125560932 43745774814 49995171216 54161435484 56167414576 58327699752 63188341398 65618662221 72215247312 74992756824 81242153226 84251121864 87491549628 94782512097 108322870968 116655399504 121863229839 126376682796 131237324442 149985513648 162484306452 168502243728 174983099256 189565024194 216645741936 243726459678 252753365592 262474648884 284347536291 324968612904 349966198512 379130048388 487452919356 505506731184 524949297768 568695072582 649937225808 758260096776 853042608873 974905838712 1049898595536 1137390145164 1516520193552 1706085217746 1949811677424 2274780290328 3412170435492 4549560580656 6824340870984 13648681741968
• Sum of all divisors σ(n): 48761166627264
• Sum of proper divisors (its aliquot sum) s(n): 35112484885296
• 13648681741968 is an abundant number, because the sum of its proper divisors (35112484885296) is greater than itself. Its abundance is 21463803143328

Bases of 13648681741968

• Binary: 11000110100111010100110100111010111010010000₂
• Hexadecimal: 0xC69D4D3AE90
• Base-36: 4U648PL00

Squares and roots of 13648681741968

• 13648681741968 squared (13648681741968²) is 186286513293530638932513024
• 13648681741968 cubed (13648681741968³) is 2542565332764290749890391900400167391232
• The square root of 13648681741968 is 3694412.2322729499
• The cube root of 13648681741968 is 23898.1107275505

Scales and comparisons

• 13,648,681,741,968 seconds is equal to 433,985 years, 44 weeks, 5 days, 11 hours, 52 minutes, 48 seconds.
• To count from 1 to 13,648,681,741,968 would take you about one million, eighty-four thousand, nine hundred sixty-four 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 13648681741968 cubic inches would be around 1991.5 feet tall.

Recreational maths with 13648681741968

• 13648681741968 backwards is 86914718684631
• 13648681741968 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13648681741968's digits is 72
• More coming soon!