13728173707776

Names of 13728173707776

• Cardinal: 13728173707776 can be written as Thirteen trillion, seven hundred twenty-eight billion, one hundred seventy-three million, seven hundred seven thousand, seven hundred seventy-six.

Scientific notation

• Scientific notation: 1.3728173707776 × 10¹³

Factors of 13728173707776

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 124

Divisors of 13728173707776

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 89 96 114 121 128 132 152 176 178 192 209 228 242 256 264 267 304 352 356 361 363 384 418 456 484 512 528 534 608 627 704 712 722 726 768 836 912 968 979 1056 1068 1083 1216 1254 1331 1408 1424 1444 1452 1536 1672 1691 1824 1936 1958 2112 2136 2166 2299 2432 2508 2662 2816 2848 2888 2904 2937 3344 3382 3648 3872 3916 3971 3993 4224 4272 4332 4598 4864 5016 5073 5324 5632 5696 5776 5808 5874 6688 6764 6859 6897 7296 7744 7832 7942 7986 8448 8544 8664 9196 9728 10032 10146 10648 10769 11392 11552 11616 11748 11913 13376 13528 13718 13794 14592 14641 15488 15664 15884 15972 16896 17088 17328 18392 18601 20064 20292 20577 21296 21538 22784 23104 23232 23496 23826 25289 26752 27056 27436 27588 29184 29282 30976 31328 31768 31944 32129 32307 34176 34656 36784 37202 40128 40584 41154 42592 43076 43681 43923 45568 46208 46464 46992 47652 50578 53504 54112 54872 55176 55803 58564 61952 62656 63536 63888 64258 64614 68352 69312 73568 74404 75449 75867 80256 81168 82308 85184 86152 87362 87846 92416 92928 93984 95304 96387 101156 107008 108224 109744 110352 111606 117128 118459 125312 127072 127776 128516 129228 131043 136704 138624 147136 148808 150898 151734 160512 162336 164616 170368 172304 174724 175692 184832 185856 187968 190608 192774 202312 204611 216448 219488 220704 223212 226347 234256 236918 250624 254144 255552 257032 258456 262086 277248 278179 294272 297616 301796 303468 321024 324672 329232 340736 344608 349448 351384 353419 355377 375936 381216 385548 404624 409222 432896 438976 441408 446424 452694 468512 473836 480491 501248 508288 511104 514064 516912 524172 554496 556358 588544 595232 603592 606936 610451 613833 649344 658464 681472 689216 698896 702768 706838 710754 751872 762432 771096 809248 818444 829939 834537 865792 877952 882816 892848 905388 937024 947672 960982 1016576 1022208 1028128 1033824 1048344 1060257 1112716 1177088 1190464 1207184 1213872 1220902 1227666 1298688 1303049 1316928 1378432 1397792 1405536 1413676 1421508 1441473 1503744 1524864 1542192 1618496 1636888 1659878 1669074 1755904 1765632 1785696 1810776 1831353 1874048 1895344 1921964 2033152 2044416 2056256 2067648 2096688 2120514 2225432 2250721 2380928 2414368 2427744 2441804 2455332 2489817 2597376 2606098 2633856 2756864 2795584 2811072 2827352 2843016 2882946 3049728 3084384 3236992 3273776 3319756 3338148 3511808 3531264 3571392 3621552 3662706 3748096 3790688 3843928 3887609 3909147 4112512 4135296 4193376 4241028 4450864 4501442 4761856 4828736 4855488 4883608 4910664 4979634 5212196 5267712 5285401 5513728 5591168 5622144 5654704 5686032 5765892 6099456 6168768 6473984 6547552 6639512 6676296 6714961 6752163 7142784 7243104 7325412 7496192 7581376 7687856 7775218 7818294 8225024 8270592 8386752 8482056 8901728 9002884 9129329 9523712 9657472 9710976 9767216 9821328 9959268 10424392 10535424 10570802 11182336 11244288 11309408 11372064 11531784 11662827 12337536 12947968 13095104 13279024 13352592 13429922 13504326 14285568 14486208 14650824 15162752 15375712 15550436 15636588 15856203 16450048 16541184 16773504 16964112 17803456 18005768 18258658 19314944 19421952 19534432 19642656 19918536 20144883 20848784 21141604 22364672 22488576 22618816 22744128 23063568 23325654 24675072 24757931 26190208 26558048 26705184 26859844 27008652 27387987 28571136 28972416 29301648 30325504 30751424 31100872 31273176 31712406 33547008 33928224 35606912 36011536 36517316 38629888 38843904 39068864 39285312 39837072 40289766 41697568 42283208 42763699 45237632 45488256 46127136 46651308 49350144 49515862 52380416 53116096 53410368 53719688 54017304 54775974 57944832 58603296 60651008 61502848 62201744 62546352 63424812 67094016 67856448 71213824 72023072 73034632 73864571 74273793 78137728 78570624 79674144 80579532 83395136 84566416 85527398 90475264 90976512 92254272 93302616 99031724 100422619 104760832 106232192 106820736 107439376 108034608 109551948 115889664 117206592 123005696 124403488 125092704 126849624 128291097 135712896 142427648 144046144 146069264 147729142 148547586 156275456 157141248 159348288 161159064 166790272 169132832 171054796 180950528 181953024 184508544 186605232 198063448 200845238 212464384 213641472 214878752 216069216 219103896 221593713 234413184 246011392 248806976 250185408 253699248 256582194 271425792 288092288 292138528 295458284 297095172 301267857 312550912 314282496 318696576 322318128 333580544 338265664 342109592 369017088 373210464 396126896 401690476 424928768 427282944 429757504 432138432 438207792 443187426 468826368 470400689 497613952 500370816 507398496 513164388 542851584 576184576 584277056 590916568 594190344 602535714 637393152 644636256 667161088 676531328 684219184 738034176 746420928 792253792 803380952 812510281 859515008 864276864 876415584 886374852 937652736 940801378 995227904 1000741632 1014796992 1026328776 1152369152 1168554112 1181833136 1188380688 1205071428 1274786304 1289272512 1353062656 1368438368 1411202067 1492841856 1584507584 1606761904 1625020562 1719030016 1728553728 1752831168 1772749704 1881602756 1990455808 2001483264 2029593984 2052657552 2337108224 2363666272 2376761376 2410142856 2437530843 2578545024 2706125312 2736876736 2822404134 2985683712 3169015168 3213523808 3250041124 3438060032 3457107456 3505662336 3545499408 3763205512 4059187968 4105315104 4674216448 4727332544 4753522752 4820285712 4875061686 5157090048 5473753472 5644808268 5971367424 6338030336 6427047616 6500082248 7011324672 7090998816 7526411024 8118375936 8210630208 8937613091 9454665088 9507045504 9640571424 9750123372 10314180096 10947506944 11289616536 12676060672 12854095232 13000164496 14022649344 14181997632 15052822048 16421260416 17875226182 18909330176 19014091008 19281142848 19500246744 21895013888 22579233072 25708190464 26000328992 26812839273 28363995264 30105644096 32842520832 35750452364 37818660352 38028182016 38562285696 39000493488 45158466144 51416380928 52000657984 53625678546 56727990528 60211288192 65685041664 71500904728 77124571392 78000986976 90316932288 104001315968 107251357092 113455981056 120422576384 143001809456 154249142784 156001973952 180633864576 208002631936 214502714184 240845152768 286003618912 312003947904 361267729152 416005263872 429005428368 572007237824 624007895808 722535458304 858010856736 1144014475648 1248015791616 1716021713472 2288028951296 3432043426944 4576057902592 6864086853888 13728173707776
• Sum of all divisors σ(n): 42941521656000
• Sum of proper divisors (its aliquot sum) s(n): 29213347948224
• 13728173707776 is an abundant number, because the sum of its proper divisors (29213347948224) is greater than itself. Its abundance is 15485174240448

Bases of 13728173707776

• Binary: 11000111110001010110111010101101001000000000₂
• Hexadecimal: 0xC7C56EAD200
• Base-36: 4V6MW6ADC

Squares and roots of 13728173707776

• 13728173707776 squared (13728173707776²) is 188462753350872247442866176
• 13728173707776 cubed (13728173707776³) is 2587249415446517629461430286098498584576
• The square root of 13728173707776 is 3705155.0180493123
• The cube root of 13728173707776 is 23944.4163381799

Scales and comparisons

• 13,728,173,707,776 seconds is equal to 436,513 years, 23 weeks, 6 days, 9 hours, 29 minutes, 36 seconds.
• To count from 1 to 13,728,173,707,776 would take you about one million, ninety-one thousand, two hundred eighty-three 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 13728173707776 cubic inches would be around 1995.4 feet tall.

Recreational maths with 13728173707776

• 13728173707776 backwards is 67770737182731
• 13728173707776 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13728173707776's digits is 66
• More coming soon!