445438914305013896800
445,438,914,305,013,896,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 445438914305013896800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 216 divisors.
445438914305013896800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 445438914305013896800:
25 × 52 × 132 × 37 × 89045041241207
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 37 × 89045041241207)See below for interesting mathematical facts about the number 445438914305013896800 from the Numbermatics database.
Names of 445438914305013896800
- Cardinal: 445438914305013896800 can be written as Four hundred forty-five quintillion, four hundred thirty-eight quadrillion, nine hundred fourteen trillion, three hundred five billion, thirteen million, eight hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.454389143050138968 × 1020
Factors of 445438914305013896800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 89045041241264
Divisors of 445438914305013896800
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 65 74 80 100 104 130 148 160 169 185 200 208 260 296 325 338 370 400 416 481 520 592 650 676 740 800 845 925 962 1040 1184 1300 1352 1480 1690 1850 1924 2080 2405 2600 2704 2960 3380 3700 3848 4225 4810 5200 5408 5920 6253 6760 7400 7696 8450 9620 10400 12025 12506 13520 14800 15392 16900 19240 24050 25012 27040 29600 31265 33800 38480 48100 50024 62530 67600 76960 96200 100048 125060 135200 156325 192400 200096 250120 312650 384800 500240 625300 1000480 1250600 2501200 5002400 89045041241207 178090082482414 356180164964828 445225206206035 712360329929656 890450412412070 1157585536135691 1424720659859312 1780900824824140 2226126031030175 2315171072271382 2849441319718624 3294666525924659 3561801649648280 4452252062060350 4630342144542764 5787927680678455 6589333051849318 7123603299296560 8904504124120700 9260684289085528 11575855361356910 13178666103698636 14247206598593120 15048611969763983 16473332629623295 17809008248241400 18521368578171056 23151710722713820 26357332207397272 28939638403392275 30097223939527966 32946665259246590 35618016496482800 37042737156342112 42830664837020567 46303421445427640 52714664414794544 57879276806784550 60194447879055932 65893330518493180 71236032992965600 75243059848819915 82366663148116475 85661329674041134 92606842890855280 105429328829589088 115758553613569100 120388895758111864 131786661036986360 150486119697639830 164733326296232950 171322659348082268 185213685781710560 214153324185102835 231517107227138200 240777791516223728 263573322073972720 300972239395279660 329466652592465900 342645318696164536 376215299244099575 428306648370205670 463034214454276400 481555583032447456 527146644147945440 556798642881267371 601944478790559320 658933305184931800 685290637392329072 752430598488199150 856613296740411340 926068428908552800 1070766620925514175 1113597285762534742 1203888957581118640 1317866610369863600 1370581274784658144 1504861196976398300 1713226593480822680 2141533241851028350 2227194571525069484 2407777915162237280 2635733220739727200 2783993214406336855 3009722393952796600 3426453186961645360 4283066483702056700 4454389143050138968 5567986428812673710 6019444787905593200 6852906373923290720 8566132967404113400 8908778286100277936 11135972857625347420 12038889575811186400 13919966072031684275 17132265934808226800 17817556572200555872 22271945715250694840 27839932144063368550 34264531869616453600 44543891430501389680 55679864288126737100 89087782861002779360 111359728576253474200 222719457152506948400 445438914305013896800
- Sum of all divisors σ(n): 1209335130393526923696
- Sum of proper divisors (its aliquot sum) s(n): 763896216088513026896
- 445438914305013896800 is an abundant number, because the sum of its proper divisors (763896216088513026896) is greater than itself. Its abundance is 318457301783499130096
Bases of 445438914305013896800
- Binary: 1100000100101101101001110110010000110000111100000010011010110011000002
- Hexadecimal: 0x1825B4EC861E04D660
- Base-36: 2M08HWV553DLR4
Squares and roots of 445438914305013896800
- 445438914305013896800 squared (4454389143050138968002) is 198415826377229513984033627641121050240000
- 445438914305013896800 cubed (4454389143050138968003) is 88382130282405253427906753284181532110503562814210975232000000
-
The
square root of 445438914305013896800 is 21105423812.4945952671 -
The
cube root of 445438914305013896800 is 7637115.9626927871
Scales and comparisons
How big is 445438914305013896800?- 445,438,914,305,013,896,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 445,438,914,305,013,896,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 445438914305013896800 cubic inches would be around 636426.3 feet tall.
Recreational maths with 445438914305013896800
- 445438914305013896800 backwards is 008698310503419834544
- The number of decimal digits it has is: 21
- The sum of 445438914305013896800's digits is 85
- More coming soon!
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