13088667880168400

Names of 13088667880168400

• Cardinal: 13088667880168400 can be written as Thirteen quadrillion, eighty-eight trillion, six hundred sixty-seven billion, eight hundred eighty million, one hundred sixty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.30886678801684 × 10¹⁶

Factors of 13088667880168400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 116788

Divisors of 13088667880168400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 40 50 52 61 65 80 100 104 122 127 130 200 208 244 254 260 305 325 400 488 508 520 610 635 650 793 976 1016 1040 1220 1270 1300 1525 1586 1651 2032 2440 2540 2600 2857 3050 3172 3175 3302 3965 4880 5080 5200 5714 6100 6344 6350 6604 7747 7930 8255 10160 11428 12200 12688 12700 13208 14285 15494 15860 16510 19825 22856 24400 25400 26416 28570 30988 31720 33020 37141 38735 39650 41275 45712 50800 57140 61976 63440 66040 71425 74282 77470 79300 82550 100711 113723 114280 123952 132080 142850 148564 154940 158600 165100 174277 185705 193675 201422 227446 228560 285700 297128 309880 317200 330200 348554 362839 371410 387350 402844 454892 503555 568615 571400 594256 619760 660400 697108 725678 742820 774700 805688 871385 909784 928525 1007110 1137230 1142800 1394216 1451356 1478399 1485640 1549400 1611376 1742770 1814195 1819568 1857050 2014220 2265601 2274460 2517775 2788432 2843075 2902712 2956798 2971280 3098800 3485540 3628390 3714100 4028440 4356925 4531202 4548920 4716907 5035550 5686150 5805424 5913596 6937103 6971080 7256780 7391995 7428200 8056880 8713850 9062404 9070975 9097840 9433814 10071100 11328005 11372300 11827192 13874206 13942160 14442821 14513560 14783990 14856400 17427700 18124808 18141950 18867628 20142200 22133179 22656010 22744600 23584535 23654384 27748412 28885642 29027120 29567980 34685515 34855400 36249616 36283900 36959975 37735256 40284400 44266358 45312020 45489200 47169070 55496824 56640025 57771284 59135960 69371030 69710800 72214105 72567800 73919950 75470512 88532716 90182339 90624040 94338140 110665895 110993648 113280050 115542568 117922675 118271920 138742060 144428210 145135600 147839900 173427575 177065432 180364678 181248080 187756673 188676280 221331790 226560100 231085136 235845350 277484120 287731327 288856420 295679800 324906611 346855150 354130864 360729356 361070525 375513346 377352560 442663580 450911695 453120200 471690700 553329475 554968240 575462654 577712840 591359600 649813222 693710300 721458712 722141050 751026692 881012081 885327160 901823390 906240400 938783365 943381400 1106658950 1150925308 1155425680 1299626444 1387420600 1438656635 1442917424 1444282100 1502053384 1624533055 1762024162 1770654320 1803646780 1877566730 1886762800 2213317900 2254558475 2301850616 2599252888 2774841200 2877313270 2888564200 3004106768 3249066110 3524048324 3607293560 3755133460 4223785943 4405060405 4426635800 4509116950 4603701232 4693916825 5198505776 5754626540 5777128400 6498132220 7048096648 7193283175 7214587120 7510266920 8122665275 8447571886 8810120810 8853271600 9018233900 9387833650 11453157053 11509253080 12996264440 14096193296 14386566350 15020533840 16245330550 16895143772 17620241620 18036467800 18775667300 19819303271 21118929715 22025302025 22906314106 23018506160 25992528880 28773132700 32490661100 33790287544 35240483240 36072935600 37551334600 39638606542 41263139597 42237859430 44050604050 45812628212 57265785265 57546265400 64981322200 67580575088 70480966480 75102669200 79277213084 82526279194 84475718860 88101208100 91625256424 99096516355 105594648575 114531570530 115092530800 129962644400 158554426168 165052558388 168951437720 176202416200 183250512848 198193032710 206315697985 211189297150 229063141060 257650942523 286328926325 317108852336 330105116776 337902875440 352404832400 396386065420 412631395970 422378594300 458126282120 495482581775 515301885046 536420814761 572657852650 660210233552 792772130840 825262791940 844757188600 916252564240 990965163550 1030603770092 1031578489925 1072841629522 1145315705300 1288254712615 1585544261680 1650525583880 1689514377200 1981930327100 2061207540184 2063156979850 2145683259044 2290631410600 2517051515417 2576509425230 2682104073805 3301051167760 3963860654200 4122415080368 4126313959700 4291366518088 4581262821200 5034103030834 5153018850460 5364208147610 6441273563075 7927721308400 8252627919400 8582733036176 10068206061668 10306037700920 10728416295220 12585257577085 12882547126150 13410520369025 16505255838800 20136412123336 20612075401840 21456832590440 25170515154170 25765094252300 26821040738050 32721669700421 40272824246672 42913665180880 50341030308340 51530188504600 53642081476100 62926287885425 65443339400842 100682060616680 103060377009200 107284162952200 125852575770850 130886678801684 163608348502105 201364121233360 214568325904400 251705151541700 261773357603368 327216697004210 503410303083400 523546715206736 654433394008420 818041742510525 1006820606166800 1308866788016840 1636083485021050 2617733576033680 3272166970042100 6544333940084200 13088667880168400
• Sum of all divisors σ(n): 34703033031733248
• Sum of proper divisors (its aliquot sum) s(n): 21614365151564848
• 13088667880168400 is an abundant number, because the sum of its proper divisors (21614365151564848) is greater than itself. Its abundance is 8525697271396448

Bases of 13088667880168400

• Binary: 101110100000000001001011110111100101001001101111010000₂
• Hexadecimal: 0x2E8012F7949BD0
• Base-36: 3KVJN0KGMVK

Squares and roots of 13088667880168400

• 13088667880168400 squared (13088667880168400²) is 171313226877351957742012358560000
• 13088667880168400 cubed (13088667880168400³) is 2242261930077598416159140553731069933981504000000
• The square root of 13088667880168400 is 114405716.1166713733
• The cube root of 13088667880168400 is 235666.8422227865

Scales and comparisons

• 13,088,667,880,168,400 seconds is equal to 416,179,152 years, 35 weeks, 3 days, 33 minutes, 20 seconds.
• To count from 1 to 13,088,667,880,168,400 would take you about one billion, two hundred forty-eight million, five hundred thirty-seven thousand, four hundred fifty-eight 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 13088667880168400 cubic inches would be around 19638.9 feet tall.

Recreational maths with 13088667880168400

• 13088667880168400 backwards is 00486108876688031
• The number of decimal digits it has is: 17
• The sum of 13088667880168400's digits is 74
• More coming soon!