13138424225280

Names of 13138424225280

• Cardinal: 13138424225280 can be written as Thirteen trillion, one hundred thirty-eight billion, four hundred twenty-four million, two hundred twenty-five thousand, two hundred eighty.

Scientific notation

• Scientific notation: 1.313842422528 × 10¹³

Factors of 13138424225280

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 838

Divisors of 13138424225280

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 85 90 96 102 108 120 128 135 136 144 153 160 170 180 192 204 216 240 255 256 270 272 288 289 306 320 340 360 384 408 432 459 480 510 512 540 544 576 578 612 640 680 720 765 768 811 816 864 867 918 960 1020 1080 1088 1152 1156 1224 1280 1360 1440 1445 1530 1536 1622 1632 1728 1734 1836 1920 2040 2160 2176 2295 2304 2312 2433 2448 2560 2601 2720 2880 2890 3060 3244 3264 3456 3468 3672 3840 4055 4080 4320 4335 4352 4590 4608 4624 4866 4896 5202 5440 5760 5780 6120 6488 6528 6912 6936 7299 7344 7680 7803 8110 8160 8640 8670 8704 9180 9248 9732 9792 10404 10880 11520 11560 12165 12240 12976 13005 13056 13787 13824 13872 14598 14688 15606 16220 16320 17280 17340 18360 18496 19464 19584 20808 21760 21897 23040 23120 24330 24480 25952 26010 26112 27574 27744 29196 29376 31212 32440 32640 34560 34680 36495 36720 36992 38928 39015 39168 41361 41616 43520 43794 46240 48660 48960 51904 52020 55148 55488 58392 58752 62424 64880 65280 68935 69120 69360 72990 73440 73984 77856 78030 78336 82722 83232 87588 92480 97320 97920 103808 104040 109485 110296 110976 116784 117504 124083 124848 129760 130560 137870 138720 145980 146880 147968 155712 156060 165444 166464 175176 184960 194640 195840 206805 207616 208080 218970 220592 221952 233568 234379 235008 248166 249696 259520 275740 277440 291960 293760 311424 312120 330888 332928 350352 369920 372249 389280 391680 413610 415232 416160 437940 441184 443904 467136 468758 496332 499392 519040 551480 554880 583920 587520 620415 622848 624240 657721 661776 665856 700704 703137 739840 744498 778560 827220 832320 875880 882368 934272 937516 992664 998784 1038080 1102960 1109760 1167840 1171895 1175040 1240830 1245696 1248480 1315442 1323552 1331712 1401408 1406274 1488996 1557120 1654440 1664640 1751760 1764736 1861245 1868544 1875032 1973163 1985328 1997568 2076160 2109411 2205920 2219520 2335680 2343790 2481660 2496960 2630884 2647104 2802816 2812548 2977992 3114240 3288605 3308880 3329280 3503520 3515685 3529472 3722490 3737088 3750064 3946326 3970656 3995136 4218822 4411840 4671360 4687580 4963320 4993920 5261768 5294208 5605632 5625096 5919489 5955984 6228480 6328233 6577210 6617760 6658560 7007040 7031370 7058944 7444980 7500128 7892652 7941312 8437644 8823680 9342720 9375160 9865815 9926640 9987840 10523536 10547055 10588416 11181257 11211264 11250192 11838978 11911968 12656466 13154420 13235520 14014080 14062740 14889960 15000256 15785304 15882624 16875288 17647360 17758467 18685440 18750320 19731630 19853280 19975680 21047072 21094110 21176832 22362514 22500384 23677956 23823936 25312932 26308840 26471040 28028160 28125480 29597445 29779920 30000512 31570608 31641165 31765248 33543771 33750576 35294720 35516934 37500640 39463260 39706560 42094144 42188220 44725028 45000768 47355912 47647872 50625864 52617680 52942080 55906285 56056320 56250960 59194890 59559840 60001024 63141216 63282330 63530496 67087542 67501152 71033868 75001280 78926520 79413120 84188288 84376440 88792335 89450056 90001536 94711824 95295744 100631313 101251728 105235360 105884160 111812570 112501920 118389780 119119680 120002048 126282432 126564660 134175084 135002304 142067736 150002560 157853040 158826240 167718855 168376576 168752880 177584670 178900112 180003072 189423648 190081369 190591488 201262626 202503456 210470720 223625140 225003840 236779560 238239360 252564864 253129320 268350168 270004608 284135472 300005120 301893939 315706080 317652480 335437710 336753152 337505760 355169340 357800224 360006144 378847296 380162738 402525252 405006912 420941440 447250280 450007680 473559120 476478720 503156565 505129728 506258640 536700336 540009216 568270944 570244107 600010240 603787878 631412160 670875420 675011520 710338680 715600448 757694592 760325476 805050504 810013824 841882880 894500560 900015360 947118240 950406845 952957440 1006313130 1010259456 1012517280 1073400672 1080018432 1136541888 1140488214 1207575756 1262824320 1341750840 1350023040 1420677360 1431200896 1509469695 1515389184 1520650952 1610101008 1620027648 1683765760 1710732321 1789001120 1800030720 1894236480 1900813690 2012626260 2025034560 2146801344 2273083776 2280976428 2415151512 2525648640 2683501680 2700046080 2841354720 2851220535 2862401792 3018939390 3030778368 3041301904 3220202016 3240055296 3421464642 3578002240 3788472960 3801627380 4025252520 4050069120 4293602688 4546167552 4561952856 4830303024 5051297280 5132196963 5367003360 5400092160 5682709440 5702441070 5724803584 6037878780 6082603808 6440404032 6842929284 7156004480 7576945920 7603254760 8050505040 8100138240 8553661605 8587205376 9092335104 9123905712 9660606048 10264393926 10734006720 11365418880 11404882140 12075757560 12165207616 12880808064 13685858568 14312008960 15153891840 15206509520 16101010080 16200276480 17107323210 17174410752 18247811424 19321212096 20528787852 21468013440 22730837760 22809764280 24151515120 24330415232 25660984815 25761616128 27371717136 28624017920 30413019040 32202020160 34214646420 36495622848 38642424192 41057575704 42936026880 45461675520 45619528560 48303030240 48660830464 51321969630 51523232256 54743434272 60826038080 64404040320 68429292840 72991245696 77284848384 82115151408 85872053760 91239057120 96606060480 97321660928 102643939260 109486868544 121652076160 128808080640 136858585680 145982491392 154569696768 164230302816 182478114240 193212120960 205287878520 218973737088 243304152320 257616161280 273717171360 291964982784 328460605632 364956228480 386424241920 410575757040 437947474176 486608304640 547434342720 656921211264 729912456960 772848483840 821151514080 875894948352 1094868685440 1313842422528 1459824913920 1642303028160 2189737370880 2627684845056 3284606056320 4379474741760 6569212112640 13138424225280
• Sum of all divisors σ(n): 49636687803120
• Sum of proper divisors (its aliquot sum) s(n): 36498263577840
• 13138424225280 is an abundant number, because the sum of its proper divisors (36498263577840) is greater than itself. Its abundance is 23359839352560

Bases of 13138424225280

• Binary: 10111111001100000111000110111101111000000000₂
• Hexadecimal: 0xBF3071BDE00
• Base-36: 4NNPIK5C0

Squares and roots of 13138424225280

• 13138424225280 squared (13138424225280²) is 172618191123424368191078400
• 13138424225280 cubed (13138424225280³) is 2267931023980011777511542702527741952000
• The square root of 13138424225280 is 3624696.4321553881
• The cube root of 13138424225280 is 23596.5092421939

Scales and comparisons

• 13,138,424,225,280 seconds is equal to 417,761 years, 13 weeks, 4 hours, 48 minutes.
• To count from 1 to 13,138,424,225,280 would take you about one million, forty-four thousand, four hundred 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 13138424225280 cubic inches would be around 1966.4 feet tall.

Recreational maths with 13138424225280

• 13138424225280 backwards is 08252242483131
• 13138424225280 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13138424225280's digits is 45
• More coming soon!