54001338513408
54,001,338,513,408 is an even composite number composed of seven prime numbers multiplied together.
What does the number 54001338513408 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
54001338513408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 54001338513408:
211 × 32 × 11 × 13 × 193 × 29 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 19 × 19 × 19 × 29 × 103)See below for interesting mathematical facts about the number 54001338513408 from the Numbermatics database.
Names of 54001338513408
- Cardinal: 54001338513408 can be written as Fifty-four trillion, one billion, three hundred thirty-eight million, five hundred thirteen thousand, four hundred eight.
Scientific notation
- Scientific notation: 5.4001338513408 × 1013
Factors of 54001338513408
Divisors of 54001338513408
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 29 32 33 36 38 39 44 48 52 57 58 64 66 72 76 78 87 88 96 99 103 104 114 116 117 128 132 143 144 152 156 171 174 176 192 198 206 208 209 228 232 234 247 256 261 264 286 288 304 309 312 319 342 348 352 361 377 384 396 412 416 418 429 456 464 468 494 512 522 528 551 572 576 608 618 624 627 638 684 696 704 722 741 754 768 792 824 832 836 858 912 927 928 936 957 988 1024 1044 1056 1083 1102 1131 1133 1144 1152 1216 1236 1248 1254 1276 1287 1339 1368 1392 1408 1444 1482 1508 1536 1584 1648 1653 1664 1672 1716 1824 1854 1856 1872 1881 1914 1957 1976 2048 2088 2112 2166 2204 2223 2262 2266 2288 2304 2432 2472 2496 2508 2552 2574 2678 2717 2736 2784 2816 2871 2888 2964 2987 3016 3072 3168 3249 3296 3306 3328 3344 3393 3399 3432 3648 3708 3712 3744 3762 3828 3914 3952 3971 4017 4147 4176 4224 4332 4408 4446 4524 4532 4576 4608 4693 4864 4944 4959 4992 5016 5104 5148 5356 5434 5472 5568 5632 5742 5776 5871 5928 5974 6032 6061 6144 6336 6498 6592 6612 6656 6688 6786 6798 6859 6864 7163 7296 7416 7424 7488 7524 7656 7828 7904 7942 8034 8151 8294 8352 8448 8664 8816 8892 8961 9048 9064 9152 9216 9386 9728 9888 9918 9984 10032 10197 10208 10296 10469 10712 10868 10944 11136 11264 11484 11552 11742 11856 11913 11948 12051 12064 12122 12441 12672 12996 13184 13224 13312 13376 13572 13596 13718 13728 14079 14326 14592 14729 14832 14848 14976 15048 15312 15656 15808 15884 16068 16302 16588 16704 16896 17328 17613 17632 17784 17922 18096 18128 18183 18304 18432 18772 19456 19776 19836 19968 20064 20394 20416 20577 20592 20938 21424 21489 21527 21736 21888 22272 22528 22968 23104 23484 23712 23826 23896 24102 24128 24244 24453 24882 25344 25441 25992 26368 26448 26624 26752 26883 27144 27192 27436 27456 28158 28652 29184 29458 29664 29696 29952 30096 30624 31312 31407 31616 31768 32136 32604 32857 33176 33408 33792 34656 35226 35264 35568 35739 35844 36192 36256 36366 36608 37183 37323 37544 38831 38912 39552 39672 39936 40128 40788 40832 41154 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1421087855616 1500037180928 1636404197376 1687541828544 1862115121152 2076974558208 2250055771392 2454606296064 2842175711232 3000074361856 3375083657088 4153949116416 4500111542784 4909212592128 6000148723712 6750167314176 9000223085568 13500334628352 18000446171136 27000669256704 54001338513408
- Sum of all divisors σ(n): 202022481024000
- Sum of proper divisors (its aliquot sum) s(n): 148021142510592
- 54001338513408 is an abundant number, because the sum of its proper divisors (148021142510592) is greater than itself. Its abundance is 94019803997184
Bases of 54001338513408
- Binary: 11000100011101001010101001100101111000000000002
- Hexadecimal: 0x311D2A997800
- Base-36: J53VEOE80
Squares and roots of 54001338513408
- 54001338513408 squared (540013385134082) is 2916144561239682143395774464
- 54001338513408 cubed (540013385134083) is 157475709605537721335022414478770608013312
-
The
square root of 54001338513408 is 7348560.3020869333 -
The
cube root of 54001338513408 is 37797.9437944915
Scales and comparisons
How big is 54001338513408?- 54,001,338,513,408 seconds is equal to 1,717,075 years, 27 weeks, 3 days, 1 hour, 16 minutes, 48 seconds.
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To count from 1 to 54,001,338,513,408 would take you about four million, two hundred ninety-two thousand, six hundred eighty-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 54001338513408 cubic inches would be around 3149.8 feet tall.
Recreational maths with 54001338513408
- 54001338513408 backwards is 80431583310045
- The number of decimal digits it has is: 14
- The sum of 54001338513408's digits is 45
- More coming soon!
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The information we have on file for 54001338513408 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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