45946503168000

Names of 45946503168000

• Cardinal: 45946503168000 can be written as Forty-five trillion, nine hundred forty-six billion, five hundred three million, one hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 4.5946503168 × 10¹³

Factors of 45946503168000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 186

Divisors of 45946503168000

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 67 75 80 96 100 109 120 125 128 134 150 160 192 200 201 218 240 250 256 268 300 320 327 335 375 384 400 402 436 480 500 512 536 545 600 640 654 670 750 768 800 804 872 960 1000 1005 1024 1072 1090 1200 1280 1308 1340 1500 1536 1600 1608 1635 1675 1744 1920 2000 2010 2048 2144 2180 2400 2560 2616 2680 2725 3000 3072 3200 3216 3270 3350 3488 3840 4000 4020 4096 4288 4360 4800 5025 5120 5232 5360 5450 6000 6144 6400 6432 6540 6700 6976 7303 7680 8000 8040 8175 8192 8375 8576 8720 9600 10050 10240 10464 10720 10900 12000 12288 12800 12864 13080 13400 13625 13952 14606 15360 16000 16080 16350 16384 16750 17152 17440 19200 20100 20480 20928 21440 21800 21909 24000 24576 25125 25600 25728 26160 26800 27250 27904 29212 30720 32000 32160 32700 32768 33500 34304 34880 36515 38400 40200 40875 40960 41856 42880 43600 43818 48000 49152 50250 51200 51456 52320 53600 54500 55808 58424 61440 64000 64320 65400 65536 67000 68608 69760 73030 76800 80400 81750 81920 83712 85760 87200 87636 96000 98304 100500 102400 102912 104640 107200 109000 109545 111616 116848 122880 128000 128640 130800 131072 134000 137216 139520 146060 153600 160800 163500 163840 167424 171520 174400 175272 182575 192000 196608 201000 204800 205824 209280 214400 218000 219090 223232 233696 245760 256000 257280 261600 262144 268000 274432 279040 292120 307200 321600 327000 327680 334848 343040 348800 350544 365150 384000 393216 402000 409600 411648 418560 428800 436000 438180 446464 467392 491520 512000 514560 523200 524288 536000 547725 548864 558080 584240 614400 643200 654000 655360 669696 686080 697600 701088 730300 768000 786432 804000 819200 823296 837120 857600 872000 876360 892928 912875 934784 983040 1024000 1029120 1046400 1048576 1072000 1095450 1097728 1116160 1168480 1228800 1286400 1308000 1310720 1339392 1372160 1395200 1402176 1460600 1536000 1572864 1608000 1638400 1646592 1674240 1715200 1744000 1752720 1785856 1825750 1869568 1966080 2048000 2058240 2092800 2097152 2144000 2190900 2195456 2232320 2336960 2457600 2572800 2616000 2621440 2678784 2738625 2744320 2790400 2804352 2921200 3072000 3145728 3216000 3276800 3293184 3348480 3430400 3488000 3505440 3571712 3651500 3739136 3932160 4096000 4116480 4185600 4194304 4288000 4381800 4390912 4464640 4673920 4915200 5145600 5232000 5242880 5357568 5477250 5488640 5580800 5608704 5842400 6144000 6291456 6432000 6553600 6586368 6696960 6860800 6976000 7010880 7143424 7303000 7478272 7864320 8192000 8232960 8371200 8388608 8576000 8763600 8781824 8929280 9347840 9830400 10291200 10464000 10485760 10715136 10954500 10977280 11161600 11217408 11684800 12288000 12582912 12864000 13107200 13172736 13393920 13721600 13952000 14021760 14286848 14606000 14956544 15728640 16384000 16465920 16742400 16777216 17152000 17527200 17563648 17858560 18695680 19660800 20582400 20928000 20971520 21430272 21909000 21954560 22323200 22434816 23369600 24576000 25165824 25728000 26214400 26345472 26787840 27443200 27904000 28043520 28573696 29212000 29913088 31457280 32768000 32931840 33484800 34304000 35054400 35127296 35717120 37391360 39321600 41164800 41856000 41943040 42860544 43818000 43909120 44646400 44869632 46739200 49152000 50331648 51456000 52428800 52690944 53575680 54886400 55808000 56087040 57147392 58424000 59826176 62914560 65536000 65863680 66969600 68608000 70108800 70254592 71434240 74782720 78643200 82329600 83712000 83886080 85721088 87636000 87818240 89292800 89739264 93478400 98304000 102912000 104857600 105381888 107151360 109772800 111616000 112174080 114294784 116848000 119652352 125829120 131072000 131727360 133939200 137216000 140217600 140509184 142868480 149565440 157286400 164659200 167424000 171442176 175272000 175636480 178585600 179478528 186956800 196608000 205824000 209715200 210763776 214302720 219545600 223232000 224348160 228589568 233696000 239304704 251658240 262144000 263454720 267878400 274432000 280435200 281018368 285736960 299130880 314572800 329318400 334848000 342884352 350544000 351272960 357171200 358957056 373913600 393216000 411648000 419430400 421527552 428605440 439091200 446464000 448696320 457179136 467392000 478609408 524288000 526909440 535756800 548864000 560870400 562036736 571473920 598261760 629145600 658636800 669696000 685768704 701088000 702545920 714342400 717914112 747827200 786432000 823296000 843055104 857210880 878182400 892928000 897392640 914358272 934784000 957218816 1048576000 1053818880 1071513600 1097728000 1121740800 1124073472 1142947840 1196523520 1258291200 1317273600 1339392000 1371537408 1402176000 1405091840 1428684800 1435828224 1495654400 1572864000 1646592000 1686110208 1714421760 1756364800 1785856000 1794785280 1828716544 1869568000 1914437632 2097152000 2107637760 2143027200 2195456000 2243481600 2285895680 2393047040 2634547200 2678784000 2743074816 2804352000 2810183680 2857369600 2871656448 2991308800 3145728000 3293184000 3372220416 3428843520 3512729600 3571712000 3589570560 3739136000 3828875264 4215275520 4286054400 4390912000 4486963200 4571791360 4786094080 5269094400 5357568000 5486149632 5608704000 5620367360 5714739200 5743312896 5982617600 6291456000 6586368000 6857687040 7025459200 7143424000 7179141120 7478272000 7657750528 8430551040 8572108800 8781824000 8973926400 9143582720 9572188160 10538188800 10715136000 11217408000 11429478400 11486625792 11965235200 13172736000 13715374080 14050918400 14286848000 14358282240 14956544000 15315501056 16861102080 17144217600 17563648000 17947852800 19144376320 21076377600 21430272000 22434816000 22858956800 22973251584 23930470400 26345472000 27430748160 28101836800 28573696000 28716564480 29913088000 30631002112 34288435200 35127296000 35895705600 38288752640 42152755200 42860544000 44869632000 45717913600 45946503168 47860940800 52690944000 57147392000 57433128960 59826176000 61262004224 68576870400 70254592000 71791411200 76577505280 84305510400 85721088000 89739264000 91893006336 95721881600 105381888000 114294784000 114866257920 119652352000 122524008448 137153740800 140509184000 143582822400 153155010560 171442176000 179478528000 183786012672 191443763200 210763776000 228589568000 229732515840 239304704000 287165644800 306310021120 342884352000 358957056000 367572025344 382887526400 421527552000 459465031680 478609408000 574331289600 612620042240 685768704000 717914112000 765775052800 918930063360 957218816000 1148662579200 1435828224000 1531550105600 1837860126720 1914437632000 2297325158400 2871656448000 3063100211200 3828875264000 4594650316800 5743312896000 7657750528000 9189300633600 11486625792000 15315501056000 22973251584000 45946503168000
• Sum of all divisors σ(n): 156615977781120
• Sum of proper divisors (its aliquot sum) s(n): 110669474613120
• 45946503168000 is an abundant number, because the sum of its proper divisors (110669474613120) is greater than itself. Its abundance is 64722971445120

Bases of 45946503168000

• Binary: 1010011100100111000001000000000000000000000000₂
• Hexadecimal: 0x29C9C1000000
• Base-36: GABJ5OKQO

Squares and roots of 45946503168000

• 45946503168000 squared (45946503168000²) is 2111081153367034036224000000
• 45946503168000 cubed (45946503168000³) is 96996796901083523212129842757632000000000
• The square root of 45946503168000 is 6778384.9970328477
• The cube root of 45946503168000 is 35816.5833431277

Scales and comparisons

• 45,946,503,168,000 seconds is equal to 1,460,956 years, 35 weeks, 2 days, 2 hours, 40 minutes.
• To count from 1 to 45,946,503,168,000 would take you about three million, six hundred fifty-two thousand, three hundred ninety-one 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 45946503168000 cubic inches would be around 2984.7 feet tall.

Recreational maths with 45946503168000

• 45946503168000 backwards is 00086130564954
• The number of decimal digits it has is: 14
• The sum of 45946503168000's digits is 51
• More coming soon!