45742914911200

Names of 45742914911200

• Cardinal: 45742914911200 can be written as Forty-five trillion, seven hundred forty-two billion, nine hundred fourteen million, nine hundred eleven thousand, two hundred.

Scientific notation

• Scientific notation: 4.57429149112 × 10¹³

Factors of 45742914911200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1674417

Divisors of 45742914911200

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 65 71 74 80 100 104 130 142 148 160 185 200 208 260 284 296 325 355 370 400 416 481 520 568 592 650 710 740 800 923 925 962 1040 1136 1184 1300 1420 1480 1775 1846 1850 1924 2080 2272 2405 2600 2627 2840 2960 3550 3692 3700 3848 4615 4810 5200 5254 5680 5920 7100 7384 7400 7696 9230 9620 10400 10508 11360 12025 13135 14200 14768 14800 15392 18460 19240 21016 23075 24050 26270 28400 29536 29600 34151 36920 38480 42032 46150 48100 52540 56800 65675 68302 73840 76960 84064 92300 96200 105080 131350 136604 147680 170755 184600 192400 210160 262700 273208 341510 369200 384800 420320 525400 546416 683020 738400 853775 1050800 1092832 1366040 1674289 1707550 2101600 2732080 3348578 3415100 5464160 6697156 6830200 8371445 13394312 13660400 16742890 21765757 26788624 27320800 33485780 41857225 43531514 53577248 61948693 66971560 83714450 87063028 108828785 118874519 123897386 133943120 167428900 174126056 217657570 237749038 247794772 267886240 309743465 334857800 348252112 435315140 475498076 495589544 544143925 594372595 619486930 669715600 696504224 805333009 870630280 950996152 991179088 1088287850 1188745190 1238973860 1339431200 1545368747 1548717325 1610666018 1741260560 1901992304 1982358176 2176575700 2377490380 2477947720 2971862975 3090737494 3097434650 3221332036 3482521120 3803984608 4026665045 4353151400 4398357203 4754980760 4955895440 5943725950 6181474988 6194869300 6442664072 7726843735 8053330090 8706302800 8796714406 9509961520 9911790880 11887451900 12362949976 12389738600 12885328144 15453687470 16106660180 17412605600 17593428812 19019923040 20133325225 21991786015 23774903800 24725899952 24779477200 25770656288 30907374940 32213320360 35186857624 38634218675 40266650450 43983572030 47549807600 49451799904 49558954400 57178643639 61814749880 64426640720 70373715248 77268437350 80533300900 87967144060 95099615200 109958930075 114357287278 123629499760 128853281440 140747430496 154536874700 161066601800 175934288120 219917860150 228714574556 247258999520 285893218195 309073749400 322133203600 351868576240 439835720300 457429149112 571786436390 618147498800 644266407200 703737152480 879671440600 914858298224 1143572872780 1236294997600 1429466090975 1759342881200 1829716596448 2287145745560 2858932181950 3518685762400 4574291491120 5717864363900 9148582982240 11435728727800 22871457455600 45742914911200
• Sum of all divisors σ(n): 125249804124480
• Sum of proper divisors (its aliquot sum) s(n): 79506889213280
• 45742914911200 is an abundant number, because the sum of its proper divisors (79506889213280) is greater than itself. Its abundance is 33763974302080

Bases of 45742914911200

• Binary: 1010011001101001011010001100011011101111100000₂
• Hexadecimal: 0x299A5A31BBE0
• Base-36: G7Q06HOF4

Squares and roots of 45742914911200

• 45742914911200 squared (45742914911200²) is 2092414264573283303885440000
• 45742914911200 cubed (45742914911200³) is 95713127663356822746443294272572928000000
• The square root of 45742914911200 is 6763350.8641205359
• The cube root of 45742914911200 is 35763.6041038027

Scales and comparisons

• 45,742,914,911,200 seconds is equal to 1,454,483 years, 10 weeks, 3 days, 13 hours, 6 minutes, 40 seconds.
• To count from 1 to 45,742,914,911,200 would take you about three million, six hundred thirty-six thousand, two hundred 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 45742914911200 cubic inches would be around 2980.3 feet tall.

Recreational maths with 45742914911200

• 45742914911200 backwards is 00211941924754
• The number of decimal digits it has is: 14
• The sum of 45742914911200's digits is 49
• More coming soon!