382968149969664
382,968,149,969,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 382968149969664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
382968149969664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 382968149969664:
28 × 33 × 7 × 192 × 294 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 19 × 19 × 29 × 29 × 29 × 29 × 31)See below for interesting mathematical facts about the number 382968149969664 from the Numbermatics database.
Names of 382968149969664
- Cardinal: 382968149969664 can be written as Three hundred eighty-two trillion, nine hundred sixty-eight billion, one hundred forty-nine million, nine hundred sixty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.82968149969664 × 1014
Factors of 382968149969664
Divisors of 382968149969664
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 29 31 32 36 38 42 48 54 56 57 58 62 63 64 72 76 84 87 93 96 108 112 114 116 124 126 128 133 144 152 168 171 174 186 189 192 203 216 217 224 228 232 248 252 256 261 266 279 288 304 336 342 348 361 372 378 384 399 406 432 434 448 456 464 496 504 513 522 532 551 558 576 589 608 609 651 672 684 696 722 744 756 768 783 798 812 837 841 864 868 896 899 912 928 992 1008 1026 1044 1064 1083 1102 1116 1152 1178 1197 1216 1218 1302 1344 1368 1392 1444 1488 1512 1566 1596 1624 1653 1674 1682 1728 1736 1767 1792 1798 1824 1827 1856 1953 1984 2016 2052 2088 2128 2166 2204 2232 2304 2356 2394 2432 2436 2523 2527 2604 2688 2697 2736 2784 2888 2976 3024 3132 3192 3248 3249 3306 3348 3364 3456 3472 3534 3591 3596 3648 3654 3712 3857 3906 3968 4032 4104 4123 4176 4256 4332 4408 4464 4712 4788 4864 4872 4959 5046 5054 5208 5301 5376 5394 5472 5481 5568 5776 5859 5887 5952 6048 6264 6293 6384 6496 6498 6612 6696 6728 6912 6944 7068 7182 7192 7296 7308 7424 7569 7581 7714 7812 7936 8064 8091 8208 8246 8352 8512 8664 8816 8928 9424 9576 9744 9747 9918 10092 10108 10416 10469 10602 10788 10944 10962 11136 11191 11552 11571 11718 11774 11904 12096 12369 12528 12586 12768 12992 12996 13224 13392 13456 13888 14136 14364 14384 14592 14616 14877 15138 15162 15428 15624 15903 15979 16128 16182 16416 16492 16704 17024 17081 17328 17632 17661 17856 18848 18879 19152 19488 19494 19836 20184 20216 20832 20938 21204 21576 21888 21924 22272 22382 22707 22743 23104 23142 23436 23548 23808 24192 24273 24389 24738 25056 25172 25536 25984 25992 26071 26448 26784 26912 27776 28272 28728 28768 29232 29754 30276 30324 30856 31248 31407 31806 31958 32364 32832 32984 33408 33573 34048 34162 34656 34713 35264 35322 35712 37107 37696 37758 38304 38976 38988 39672 40368 40432 41664 41876 42408 43152 43776 43848 44764 45414 45486 46208 46284 46872 47096 47937 48384 48546 48778 49476 50112 50344 51072 51243 51968 51984 52142 52896 52983 53568 53824 55552 56544 56637 57456 57536 58464 59508 60552 60648 61712 62496 62814 63612 63916 64728 65664 65968 66816 67146 68229 68324 69312 69426 70528 70644 71424 73167 73283 74214 75392 75516 76608 77952 77976 78213 78337 79344 80736 80864 83328 83752 84816 86304 87696 89528 90828 90972 92416 92568 93744 94192 94221 95874 97092 97556 98952 100224 100688 100719 102144 102486 103968 104139 104284 105792 105966 107136 107648 111321 111853 113088 113274 114912 115072 116928 119016 119567 121104 121296 123424 124992 125628 127224 127832 129456 131328 131936 134292 136458 136648 138624 138852 141056 141288 143811 146334 146566 148428 150784 151032 153216 153729 155904 155952 156426 156674 158688 158949 161472 161728 166656 167504 169632 169911 170723 172608 175392 179056 181656 181944 182497 185136 187488 188384 188442 191748 194184 195112 197904 200448 201376 201438 204972 207936 208278 208568 211584 211932 214272 215296 219501 219849 222642 223706 226176 226548 229824 230144 233856 234639 235011 238032 239134 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191484074984832 382968149969664
- Sum of all divisors σ(n): 1460419991869440
- Sum of proper divisors (its aliquot sum) s(n): 1077451841899776
- 382968149969664 is an abundant number, because the sum of its proper divisors (1077451841899776) is greater than itself. Its abundance is 694483691930112
Bases of 382968149969664
- Binary: 10101110001001110101110001000101000001011000000002
- Hexadecimal: 0x15C4EB88A0B00
- Base-36: 3RR150JPC0
Squares and roots of 382968149969664
- 382968149969664 squared (3829681499696642) is 146664603891187056404120272896
- 382968149969664 cubed (3829681499696643) is 56167872018241490871388542745400869801426944
-
The
square root of 382968149969664 is 19569572.0436003403 -
The
cube root of 382968149969664 is 72619.6612865411
Scales and comparisons
How big is 382968149969664?- 382,968,149,969,664 seconds is equal to 12,177,202 years, 29 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 382,968,149,969,664 would take you about thirty million, four hundred forty-three thousand and six 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 382968149969664 cubic inches would be around 6051.6 feet tall.
Recreational maths with 382968149969664
- 382968149969664 backwards is 466969941869283
- The number of decimal digits it has is: 15
- The sum of 382968149969664's digits is 90
- More coming soon!
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The information we have on file for 382968149969664 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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