13680374122366720

Names of 13680374122366720

• Cardinal: 13680374122366720 can be written as Thirteen quadrillion, six hundred eighty trillion, three hundred seventy-four billion, one hundred twenty-two million, three hundred sixty-six thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.368037412236672 × 10¹⁶

Factors of 13680374122366720

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 8103

Divisors of 13680374122366720

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 32 38 40 61 64 76 80 95 122 128 149 152 160 190 244 256 298 304 305 320 380 488 596 608 610 640 745 760 976 1159 1192 1216 1220 1280 1490 1520 1952 2318 2384 2432 2440 2831 2980 3040 3904 4636 4768 4864 4880 5662 5795 5960 6080 7808 7867 9089 9272 9536 9760 11324 11590 11920 12160 14155 15616 15734 18178 18544 19072 19520 22648 23180 23840 24320 28310 31468 36356 37088 38144 39040 39335 45296 45445 46360 47680 56620 62936 72712 74176 78080 78670 90592 90890 92720 95360 113240 125872 145424 148352 149473 157340 172691 181184 181780 185440 190720 226480 251744 290848 296704 298946 314680 345382 362368 363560 370880 452960 479887 503488 581696 597892 629360 690764 724736 727120 741760 747365 863455 905920 959774 1006976 1163392 1172183 1195784 1258720 1381528 1454240 1483520 1494730 1726910 1811840 1919548 2013952 2326784 2344366 2391568 2399435 2517440 2763056 2908480 2989460 3453820 3623680 3839096 4688732 4783136 4798870 5034880 5526112 5816960 5860915 5978920 6907640 7678192 9117853 9377464 9566272 9597740 10069760 11052224 11633920 11721830 11957840 13815280 15356384 18235706 18754928 19132544 19195480 22104448 22271477 23443660 23915680 27630560 30712768 36471412 37509856 38265088 38390960 44208896 44542954 45589265 46887320 47831360 55261120 61425536 61889689 71503163 72942824 75019712 76781920 89085908 91178530 93774640 95662720 110522240 111357385 122851072 123779378 143006326 145885648 150039424 153563840 178171816 182357060 187549280 191325440 221044480 222714770 247558756 286012652 291771296 300078848 307127680 309448445 356343632 357515815 364714120 375098560 445429540 495117512 572025304 583542592 614255360 618896890 712687264 715031630 729428240 750197120 890859080 990235024 1144050608 1167085184 1175904091 1237793780 1358560097 1425374528 1430063260 1458856480 1500394240 1781718160 1980470048 2288101216 2334170368 2351808182 2475587560 2717120194 2850749056 2860126520 2917712960 3563436320 3775271029 3960940096 4576202432 4703616364 4951175120 5434240388 5701498112 5720253040 5835425920 5879520455 6792800485 7126872640 7550542058 7921880192 9152404864 9221563661 9407232728 9902350240 10868480776 11440506080 11670851840 11759040910 13585600970 14253745280 15101084116 15843760384 18304809728 18443127322 18814465456 18876355145 19804700480 21736961552 22881012160 23518081820 27171201940 28507490560 30202168232 36886254644 37628930912 37752710290 39609400960 43473923104 45762024320 46107818305 47036163640 54342403880 60404336464 71730149551 73772509288 75257861824 75505420580 79218801920 86947846208 91524048640 92215636610 94072327280 108684807760 120808672928 143460299102 147545018576 150515723648 151010841160 173895692416 175209709559 184431273220 188144654560 217369615520 241617345856 286920598204 295090037152 301031447296 302021682320 347791384832 350419419118 358650747755 368862546440 376289309120 434739231040 483234691712 562515383321 573841196408 590180074304 604043364640 700838838236 717301495510 737725092880 752578618240 869478462080 876048547795 966469383424 1125030766642 1147682392816 1180360148608 1208086729280 1401677676472 1434602991020 1475450185760 1505157236480 1738956924160 1752097095590 2250061533284 2295364785632 2360720297216 2416173458560 2803355352944 2812576916605 2869205982040 2950900371520 3504194191180 4500123066568 4590729571264 4832346917120 5606710705888 5625153833210 5738411964080 5901800743040 7008388382360 9000246133136 9181459142528 10687792283099 11213421411776 11250307666420 11476823928160 11803601486080 14016776764720 18000492266272 18362918285056 21375584566198 22426842823552 22500615332840 22953647856320 28033553529440 36000984532544 42751169132396 44853685647104 45001230665680 45907295712640 53438961415495 56067107058880 72001969065088 85502338264792 90002461331360 91814591425280 106877922830990 112134214117760 144003938130176 171004676529584 180004922662720 213755845661980 224268428235520 342009353059168 360009845325440 427511691323960 684018706118336 720019690650880 855023382647920 1368037412236672 1710046765295840 2736074824473344 3420093530591680 6840187061183360 13680374122366720
• Sum of all divisors σ(n): 35298691215732000
• Sum of proper divisors (its aliquot sum) s(n): 21618317093365280
• 13680374122366720 is an abundant number, because the sum of its proper divisors (21618317093365280) is greater than itself. Its abundance is 7937942970998560

Bases of 13680374122366720

• Binary: 110000100110100011101001001111111101010100011100000000₂
• Hexadecimal: 0x309A3A4FF54700
• Base-36: 3QPAD3ZNX8G

Squares and roots of 13680374122366720

• 13680374122366720 squared (13680374122366720²) is 187152636127921004480174163558400
• 13680374122366720 cubed (13680374122366720³) is 2560318080217125406071651879960300264984936448000
• The square root of 13680374122366720 is 116963131.4661450059
• The cube root of 13680374122366720 is 239165.9364930599

Scales and comparisons

• 13,680,374,122,366,720 seconds is equal to 434,993,580 years, 47 weeks, 4 days, 7 hours, 38 minutes, 40 seconds.
• To count from 1 to 13,680,374,122,366,720 would take you about one billion, three hundred four million, nine hundred eighty thousand, seven hundred forty-two 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 13680374122366720 cubic inches would be around 19930.5 feet tall.

Recreational maths with 13680374122366720

• 13680374122366720 backwards is 02766322147308631
• 13680374122366720 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13680374122366720's digits is 61
• More coming soon!