13972209664000

Names of 13972209664000

• Cardinal: 13972209664000 can be written as Thirteen trillion, nine hundred seventy-two billion, two hundred nine million, six hundred sixty-four thousand.

Scientific notation

• Scientific notation: 1.3972209664 × 10¹³

Factors of 13972209664000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 262

Divisors of 13972209664000

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 98 100 112 125 128 133 140 152 160 175 190 196 200 224 229 245 250 256 266 280 304 320 350 380 392 400 448 458 475 490 500 512 532 560 608 640 665 700 760 784 800 875 896 916 931 950 980 1000 1024 1064 1120 1145 1216 1225 1280 1330 1400 1520 1568 1600 1603 1750 1792 1832 1862 1900 1960 2000 2048 2128 2240 2290 2375 2432 2450 2560 2660 2800 3040 3136 3200 3206 3325 3500 3584 3664 3724 3800 3920 4000 4096 4256 4351 4480 4580 4655 4750 4864 4900 5120 5320 5600 5725 6080 6125 6272 6400 6412 6650 7000 7168 7328 7448 7600 7840 8000 8015 8192 8512 8702 8960 9160 9310 9500 9728 9800 10240 10640 11200 11221 11450 12160 12250 12544 12800 12824 13300 14000 14336 14656 14896 15200 15680 16000 16030 16384 16625 17024 17404 17920 18320 18620 19000 19456 19600 20480 21280 21755 22400 22442 22900 23275 24320 24500 25088 25600 25648 26600 28000 28625 28672 29312 29792 30400 30457 31360 32000 32060 32768 33250 34048 34808 35840 36640 37240 38000 38912 39200 40075 40960 42560 43510 44800 44884 45800 46550 48640 49000 50176 51200 51296 53200 56000 56105 57250 57344 58624 59584 60800 60914 62720 64000 64120 65536 66500 68096 69616 71680 73280 74480 76000 77824 78400 80150 81920 85120 87020 89600 89768 91600 93100 97280 98000 100352 102400 102592 106400 108775 112000 112210 114500 114688 116375 117248 119168 121600 121828 125440 128000 128240 131072 133000 136192 139232 143360 146560 148960 152000 152285 155648 156800 160300 163840 170240 174040 179200 179536 183200 186200 194560 196000 200375 200704 204800 205184 212800 213199 217550 224000 224420 229000 229376 232750 234496 238336 243200 243656 250880 256000 256480 262144 266000 272384 278464 280525 286720 293120 297920 304000 304570 311296 313600 320600 327680 340480 348080 358400 359072 366400 372400 389120 392000 400750 401408 409600 410368 425600 426398 435100 448000 448840 458000 458752 465500 468992 476672 486400 487312 501760 512000 512960 524288 532000 543875 544768 556928 561050 573440 586240 595840 608000 609140 622592 627200 641200 655360 680960 696160 716800 718144 732800 744800 761425 778240 784000 801500 802816 819200 820736 851200 852796 870200 896000 897680 916000 917504 931000 937984 953344 972800 974624 1003520 1024000 1025920 1064000 1065995 1087750 1089536 1113856 1122100 1146880 1172480 1191680 1216000 1218280 1245184 1254400 1282400 1310720 1361920 1392320 1402625 1433600 1436288 1465600 1489600 1522850 1556480 1568000 1603000 1605632 1638400 1641472 1702400 1705592 1740400 1792000 1795360 1832000 1835008 1862000 1875968 1906688 1945600 1949248 2007040 2048000 2051840 2128000 2131990 2175500 2179072 2227712 2244200 2293760 2344960 2383360 2432000 2436560 2490368 2508800 2564800 2621440 2723840 2784640 2805250 2867200 2872576 2931200 2979200 3045700 3112960 3136000 3206000 3211264 3276800 3282944 3404800 3411184 3480800 3584000 3590720 3664000 3670016 3724000 3751936 3807125 3813376 3891200 3898496 4014080 4096000 4103680 4256000 4263980 4351000 4358144 4455424 4488400 4587520 4689920 4766720 4864000 4873120 4980736 5017600 5129600 5329975 5447680 5569280 5610500 5734400 5745152 5862400 5958400 6091400 6225920 6272000 6412000 6422528 6553600 6565888 6809600 6822368 6961600 7168000 7181440 7328000 7448000 7503872 7614250 7626752 7782400 7796992 8028160 8192000 8207360 8512000 8527960 8702000 8716288 8910848 8976800 9175040 9379840 9533440 9728000 9746240 9961472 10035200 10259200 10659950 10895360 11138560 11221000 11468800 11490304 11724800 11916800 12182800 12451840 12544000 12824000 12845056 13107200 13131776 13619200 13644736 13923200 14336000 14362880 14656000 14896000 15007744 15228500 15253504 15564800 15593984 16056320 16384000 16414720 17024000 17055920 17404000 17432576 17821696 17953600 18350080 18759680 19066880 19456000 19492480 20070400 20518400 21319900 21790720 22277120 22442000 22937600 22980608 23449600 23833600 24365600 24903680 25088000 25648000 25690112 26263552 26649875 27238400 27289472 27846400 28672000 28725760 29312000 29792000 30015488 30457000 30507008 31129600 31187968 32112640 32768000 32829440 34048000 34111840 34808000 34865152 35643392 35907200 37519360 38133760 38912000 38984960 40140800 41036800 42639800 43581440 44554240 44884000 45875200 45961216 46899200 47667200 48731200 49807360 50176000 51296000 52527104 53299750 54476800 54578944 55692800 57344000 57451520 58624000 59584000 60030976 60914000 61014016 62259200 62375936 64225280 65536000 65658880 68096000 68223680 69616000 69730304 71286784 71814400 75038720 76267520 77824000 77969920 80281600 82073600 85279600 87162880 89108480 89768000 91750400 91922432 93798400 95334400 97462400 100352000 102592000 105054208 106599500 108953600 109157888 111385600 114688000 114903040 117248000 119168000 120061952 121828000 122028032 124518400 124751872 128450560 131317760 136192000 136447360 139232000 142573568 143628800 150077440 152535040 155648000 155939840 160563200 164147200 170559200 174325760 178216960 179536000 183844864 187596800 190668800 194924800 200704000 205184000 210108416 213199000 217907200 218315776 222771200 229376000 229806080 234496000 238336000 243656000 244056064 249036800 249503744 262635520 272384000 272894720 278464000 285147136 287257600 300154880 305070080 311296000 311879680 321126400 328294400 341118400 348651520 356433920 359072000 367689728 375193600 381337600 389849600 401408000 410368000 420216832 426398000 435814400 436631552 445542400 458752000 459612160 468992000 476672000 487312000 488112128 499007488 525271040 544768000 545789440 556928000 570294272 574515200 600309760 610140160 622592000 623759360 642252800 656588800 682236800 712867840 718144000 735379456 750387200 762675200 779699200 802816000 820736000 840433664 852796000 871628800 873263104 891084800 919224320 937984000 953344000 974624000 998014976 1050542080 1089536000 1091578880 1113856000 1140588544 1149030400 1220280320 1245184000 1247518720 1313177600 1364473600 1425735680 1436288000 1470758912 1500774400 1525350400 1559398400 1605632000 1641472000 1705592000 1743257600 1746526208 1782169600 1838448640 1875968000 1906688000 1949248000 1996029952 2101084160 2179072000 2183157760 2227712000 2281177088 2298060800 2440560640 2495037440 2626355200 2728947200 2851471360 2872576000 2941517824 3001548800 3050700800 3118796800 3211264000 3282944000 3411184000 3493052416 3564339200 3676897280 3751936000 3813376000 3898496000 3992059904 4202168320 4358144000 4366315520 4455424000 4596121600 4990074880 5252710400 5457894400 5702942720 5745152000 5883035648 6101401600 6237593600 6565888000 6822368000 6986104832 7128678400 7353794560 7503872000 7626752000 7796992000 7984119808 8716288000 8732631040 8910848000 9192243200 9980149760 10505420800 10915788800 11405885440 11490304000 12202803200 12475187200 13131776000 13644736000 13972209664 14257356800 14707589120 15007744000 15253504000 15593984000 15968239616 17465262080 17821696000 18384486400 19960299520 21010841600 21831577600 22980608000 24950374400 26263552000 27289472000 27944419328 28514713600 29415178240 30507008000 31187968000 34930524160 35643392000 36768972800 39920599040 43663155200 45961216000 49900748800 52527104000 54578944000 55888838656 57029427200 61014016000 62375936000 69861048320 71286784000 73537945600 79841198080 87326310400 91922432000 99801497600 105054208000 109157888000 111777677312 124751872000 139722096640 142573568000 147075891200 174652620800 183844864000 199602995200 218315776000 249503744000 279444193280 285147136000 349305241600 367689728000 399205990400 436631552000 499007488000 558888386560 698610483200 735379456000 873263104000 998014976000 1397220966400 1746526208000 1996029952000 2794441932800 3493052416000 6986104832000 13972209664000
• Sum of all divisors σ(n): 42890072940000
• Sum of proper divisors (its aliquot sum) s(n): 28917863276000
• 13972209664000 is an abundant number, because the sum of its proper divisors (28917863276000) is greater than itself. Its abundance is 14945653612000

Bases of 13972209664000

• Binary: 11001011010100101000100110000000000000000000₂
• Hexadecimal: 0xCB528980000
• Base-36: 4YAQSVRB4

Squares and roots of 13972209664000

• 13972209664000 squared (13972209664000²) is 195222642894774992896000000
• 13972209664000 cubed (13972209664000³) is 2727691697685996090847022546944000000000
• The square root of 13972209664000 is 3737941.9021702303
• The cube root of 13972209664000 is 24085.4647773827

Scales and comparisons

• 13,972,209,664,000 seconds is equal to 444,273 years, 2 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 13,972,209,664,000 would take you about one million, one hundred ten thousand, six hundred eighty-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 13972209664000 cubic inches would be around 2007.1 feet tall.

Recreational maths with 13972209664000

• 13972209664000 backwards is 00046690227931
• 13972209664000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13972209664000's digits is 49
• More coming soon!