401457204092006400
401,457,204,092,006,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 401457204092006400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2184 divisors.
401457204092006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-four divisors.
Prime factorization of 401457204092006400:
212 × 3 × 52 × 133 × 296
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 13 × 29 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 401457204092006400 from the Numbermatics database.
Names of 401457204092006400
- Cardinal: 401457204092006400 can be written as Four hundred one quadrillion, four hundred fifty-seven trillion, two hundred four billion, ninety-two million, six thousand, four hundred.
Scientific notation
- Scientific notation: 4.014572040920064 × 1017
Factors of 401457204092006400
Divisors of 401457204092006400
- Number of divisors d(n): 2184
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 32 39 40 48 50 52 58 60 64 65 75 78 80 87 96 100 104 116 120 128 130 145 150 156 160 169 174 192 195 200 208 232 240 256 260 290 300 312 320 325 338 348 377 384 390 400 416 435 464 480 507 512 520 580 600 624 640 650 676 696 725 754 768 780 800 832 841 845 870 928 960 975 1014 1024 1040 1131 1160 1200 1248 1280 1300 1352 1392 1450 1508 1536 1560 1600 1664 1682 1690 1740 1856 1885 1920 1950 2028 2048 2080 2175 2197 2262 2320 2400 2496 2523 2535 2560 2600 2704 2784 2900 3016 3072 3120 3200 3328 3364 3380 3480 3712 3770 3840 3900 4056 4096 4160 4205 4225 4350 4394 4524 4640 4800 4901 4992 5046 5070 5120 5200 5408 5568 5655 5800 6032 6144 6240 6400 6591 6656 6728 6760 6960 7424 7540 7680 7800 8112 8320 8410 8450 8700 8788 9048 9280 9425 9600 9802 9984 10092 10140 10240 10400 10816 10933 10985 11136 11310 11600 12064 12288 12480 12615 12675 12800 13182 13312 13456 13520 13920 14703 14848 15080 15360 15600 16224 16640 16820 16900 17400 17576 18096 18560 18850 19200 19604 19968 20184 20280 20480 20800 21025 21632 21866 21970 22272 22620 23200 24128 24389 24505 24960 25230 25350 25600 26364 26624 26912 27040 27840 28275 29406 29696 30160 30720 31200 32448 32799 32955 33280 33640 33800 34800 35152 36192 37120 37700 38400 39208 39936 40368 40560 41600 42050 43264 43732 43940 44544 45240 46400 48256 48778 49010 49920 50460 50700 51200 52728 53248 53824 54080 54665 54925 55680 56550 58812 59392 60320 61440 62400 63075 63713 64896 65598 65910 66560 67280 67600 69600 70304 72384 73167 73515 74240 75400 76800 78416 79872 80736 81120 83200 84100 86528 87464 87880 89088 90480 92800 96512 97556 98020 99840 100920 101400 102400 105456 107648 108160 109330 109850 111360 113100 117624 118784 120640 121945 122525 124800 126150 127426 129792 131196 131820 133120 134560 135200 139200 140608 142129 144768 146334 147030 148480 150800 153600 156832 159744 161472 162240 163995 164775 166400 168200 173056 174928 175760 178176 180960 185600 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354957740134400 386016542396160 392048050871100 395914402457600 411750978555904 418184587595840 432604745788800 461445062174720 475097282949120 477356960870400 482520677995200 501821505115008 514688723194880 522730734494800 532436610201600 553734074609664 576806327718400 593871603686400 617626467833856 627276881393760 643360903993600 669095340153344 692167593262080 772033084792320 784096101742200 791828804915200 836369175191680 865209491577600 922890124349440 965041355990400 1003643010230016 1029377446389760 1045461468989600 1064873220403200 1153612655436800 1187743207372800 1235252935667712 1254553762787520 1286721807987200 1338190680306688 1384335186524160 1544066169584640 1568192203484400 1672738350383360 1730418983155200 1930082711980800 2007286020460032 2058754892779520 2090922937979200 2307225310873600 2375486414745600 2509107525575040 2573443615974400 2676381360613376 2768670373048320 3088132339169280 3136384406968800 3345476700766720 3460837966310400 3860165423961600 4014572040920064 4181845875958400 4614450621747200 5018215051150080 5146887231948800 5352762721226752 6176264678338560 6272768813937600 6690953401533440 6921675932620800 7720330847923200 8029144081840128 8363691751916800 10036430102300160 10293774463897600 12545537627875200 13381906803066880 13843351865241600 15440661695846400 16058288163680256 16727383503833600 20072860204600320 25091075255750400 26763813606133760 30881323391692800 33454767007667200 40145720409200640 50182150511500800 66909534015334400 80291440818401280 100364301023001600 133819068030668800 200728602046003200 401457204092006400
- Sum of all divisors σ(n): 1489235986281247120
- Sum of proper divisors (its aliquot sum) s(n): 1087778782189240720
- 401457204092006400 is an abundant number, because the sum of its proper divisors (1087778782189240720) is greater than itself. Its abundance is 686321578097234320
Bases of 401457204092006400
- Binary: 101100100100100001100110011001110100110110011110000000000002
- Hexadecimal: 0x59243333A6CF000
- Base-36: 31SWP9IMJBPC
Squares and roots of 401457204092006400
- 401457204092006400 squared (4014572040920064002) is 161167886717370880196676377640960000
- 401457204092006400 cubed (4014572040920064003) is 64702009190972928847249780812315402947625222144000000
-
The
square root of 401457204092006400 is 633606505.7210243007 -
The
cube root of 401457204092006400 is 737699.9463795219 - Being both a perfect square and a perfect cube, 401457204092006400 is also a
perfect sixth number .
Scales and comparisons
How big is 401457204092006400?- 401,457,204,092,006,400 seconds is equal to 12,765,097,301 years, 23 weeks, 6 days, 13 hours, 20 minutes.
-
To count from 1 to 401,457,204,092,006,400 would take you about thirty-eight billion, two hundred ninety-five million, two hundred ninety-one thousand, nine hundred four 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 401457204092006400 cubic inches would be around 61475 feet tall.
Recreational maths with 401457204092006400
- 401457204092006400 backwards is 004600290402754104
- 401457204092006400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 401457204092006400's digits is 48
- More coming soon!
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Cite this page
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"Number 401457204092006400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 401457204092006400 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/401457204092006400/
Chicago style:
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The information we have on file for 401457204092006400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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