40144968949248
40,144,968,949,248 is an even composite number composed of six prime numbers multiplied together.
40144968949248 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 40144968949248:
29 × 38 × 19 × 232 × 29 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 23 × 23 × 29 × 41)See below for interesting mathematical facts about the number 40144968949248 from the Numbermatics database.
Names of 40144968949248
- Cardinal: 40144968949248 can be written as Forty trillion, one hundred forty-four billion, nine hundred sixty-eight million, nine hundred forty-nine thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 4.0144968949248 × 1013
Factors of 40144968949248
Divisors of 40144968949248
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 23 24 27 29 32 36 38 41 46 48 54 57 58 64 69 72 76 81 82 87 92 96 108 114 116 123 128 138 144 152 162 164 171 174 184 192 207 216 228 232 243 246 256 261 276 288 304 324 328 342 348 368 369 384 414 432 437 456 464 486 492 512 513 522 529 551 552 576 608 621 648 656 667 684 696 729 736 738 768 779 783 828 864 874 912 928 943 972 984 1026 1044 1058 1102 1104 1107 1152 1189 1216 1242 1296 1311 1312 1334 1368 1392 1458 1472 1476 1536 1539 1558 1566 1587 1653 1656 1728 1748 1824 1856 1863 1886 1944 1968 2001 2052 2088 2116 2187 2204 2208 2214 2304 2337 2349 2378 2432 2484 2592 2622 2624 2668 2736 2784 2829 2916 2944 2952 3078 3116 3132 3174 3306 3312 3321 3456 3496 3567 3648 3712 3726 3772 3888 3933 3936 4002 4104 4176 4232 4374 4408 4416 4428 4608 4617 4674 4698 4756 4761 4864 4959 4968 5184 5244 5248 5336 5472 5568 5589 5658 5832 5888 5904 6003 6156 6232 6264 6348 6561 6612 6624 6642 6912 6992 7011 7047 7134 7296 7424 7452 7544 7776 7866 7872 8004 8208 8352 8464 8487 8748 8816 8832 8856 9234 9348 9396 9512 9522 9728 9918 9936 9963 10051 10368 10488 10496 10672 10701 10944 11136 11178 11316 11664 11776 11799 11808 12006 12312 12464 12528 12673 12696 13122 13224 13248 13284 13824 13851 13984 14022 14094 14268 14283 14592 14848 14877 14904 15088 15341 15552 15732 15744 16008 16416 16704 16767 16928 16974 17496 17632 17664 17712 17917 18009 18468 18696 18792 19024 19044 19836 19872 19926 20102 20736 20976 20992 21033 21141 21344 21402 21689 21888 22272 22356 22591 22632 23328 23598 23616 24012 24624 24928 25056 25346 25392 25461 26244 26448 26496 26568 27347 27702 27968 28044 28188 28536 28566 29184 29754 29808 29889 30153 30176 30682 31104 31464 31488 32016 32103 32832 33408 33534 33856 33948 34992 35264 35328 35397 35424 35834 36018 36936 37392 37584 38019 38048 38088 39672 39744 39852 40204 41472 41553 41952 42066 42282 42688 42804 42849 43378 43776 44544 44631 44712 45182 45264 46023 46656 47196 47232 48024 49248 49856 50112 50301 50692 50784 50922 52488 52896 52992 53136 53751 54027 54694 55404 55936 56088 56376 57072 57132 59508 59616 59778 60306 60352 61364 62208 62928 62976 63099 63423 64032 64206 65067 65664 66816 67068 67712 67773 67896 69984 70528 70794 70848 71668 72036 73872 74784 75168 76038 76096 76176 76383 79344 79488 79704 80408 82041 83106 83904 84132 84564 85376 85608 85698 86756 87552 89262 89424 89667 90364 90459 90528 92046 93312 94392 94464 96048 96309 98496 99712 100224 100602 101384 101568 101844 104976 105792 105984 106191 106272 107502 108054 109388 110808 111872 112176 112752 114057 114144 114264 119016 119232 119556 120612 120704 122728 124416 124659 125856 126198 126846 128064 128412 128547 130134 131328 133632 133893 134136 135424 135546 135792 138069 139968 141056 141588 141696 143336 144072 147744 149568 150336 150903 152076 152192 152352 152766 158688 158976 159408 160816 161253 162081 164082 166212 167808 168264 169128 170752 171216 171396 173512 178524 178848 179334 180728 180918 181056 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- Sum of all divisors σ(n): 140294465110800
- Sum of proper divisors (its aliquot sum) s(n): 100149496161552
- 40144968949248 is an abundant number, because the sum of its proper divisors (100149496161552) is greater than itself. Its abundance is 60004527212304
Bases of 40144968949248
- Binary: 10010010000010111110101001110100011110000000002
- Hexadecimal: 0x2482FA9D1E00
- Base-36: E8ACE0000
Squares and roots of 40144968949248
- 40144968949248 squared (401449689492482) is 1611618531936086069199765504
- 40144968949248 cubed (401449689492483) is 64698375922606821496536200781322877140992
-
The
square root of 40144968949248 is 6336005.7567246575 -
The
cube root of 40144968949248 is 34240.7846908705
Scales and comparisons
How big is 40144968949248?- 40,144,968,949,248 seconds is equal to 1,276,485 years, 43 weeks, 3 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 40,144,968,949,248 would take you about three million, one hundred ninety-one thousand, two hundred fourteen 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 40144968949248 cubic inches would be around 2853.4 feet tall.
Recreational maths with 40144968949248
- 40144968949248 backwards is 84294986944104
- 40144968949248 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40144968949248's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 40144968949248 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 40144968949248 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/40144968949248/
Chicago style:
Numbermatics. 2024. "Number 40144968949248 - Facts about the integer". https://numbermatics.com/n/40144968949248/
The information we have on file for 40144968949248 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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