1038820131048
1,038,820,131,048 is an even composite number composed of seven prime numbers multiplied together.
1038820131048 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 1038820131048:
23 × 3 × 7 × 31 × 79 × 809 × 3121
(2 × 2 × 2 × 3 × 7 × 31 × 79 × 809 × 3121)See below for interesting mathematical facts about the number 1038820131048 from the Numbermatics database.
Names of 1038820131048
- Cardinal: 1038820131048 can be written as One trillion, thirty-eight billion, eight hundred twenty million, one hundred thirty-one thousand and forty-eight.
Scientific notation
- Scientific notation: 1.038820131048 × 1012
Factors of 1038820131048
Divisors of 1038820131048
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 79 84 93 124 158 168 186 217 237 248 316 372 434 474 553 632 651 744 809 868 948 1106 1302 1618 1659 1736 1896 2212 2427 2449 2604 3121 3236 3318 4424 4854 4898 5208 5663 6242 6472 6636 7347 9363 9708 9796 11326 12484 13272 14694 16989 17143 18726 19416 19592 21847 22652 24968 25079 29388 33978 34286 37452 43694 45304 50158 51429 58776 63911 65541 67956 68572 74904 75237 87388 96751 100316 102858 127822 131082 135912 137144 150474 174776 175553 191733 193502 200632 205716 246559 255644 262164 290253 300948 351106 383466 387004 411432 447377 493118 511288 524328 526659 580506 601896 677257 702212 739677 766932 774008 894754 986236 1053318 1161012 1342131 1354514 1404424 1479354 1533864 1725913 1789508 1972472 1981241 2031771 2106636 2322024 2524889 2684262 2709028 2958708 3451826 3579016 3962482 4063542 4213272 5049778 5177739 5368524 5418056 5917416 5943723 6903652 7574667 7643329 7924964 8127084 10099556 10355478 10737048 11887446 13807304 13868687 15149334 15286658 15849928 16254168 17674223 20199112 20710956 22929987 23774892 27737374 30298668 30573316 35348446 41421912 41606061 45859974 47549784 53022669 53503303 55474748 60597336 61146632 70696892 78271559 83212122 91719948 106045338 107006606 110949496 141393784 156543118 160509909 166424244 183439896 199466231 212090676 214013212 234814677 313086236 321019818 332848488 398932462 424181352 428026424 469629354 547900913 598398693 626172472 642039636 797864924 939258708 1095801826 1196797386 1284079272 1396263617 1595729848 1643702739 1878517416 2191603652 2393594772 2792527234 3287405478 4188790851 4383207304 4787189544 5585054468 6183453161 6574810956 8377581702 11170108936 12366906322 13149621912 16755163404 18550359483 24733812644 33510326808 37100718966 43284172127 49467625288 74201437932 86568344254 129852516381 148402875864 173136688508 259705032762 346273377016 519410065524 1038820131048
- Sum of all divisors σ(n): 3107414016000
- Sum of proper divisors (its aliquot sum) s(n): 2068593884952
- 1038820131048 is an abundant number, because the sum of its proper divisors (2068593884952) is greater than itself. Its abundance is 1029773753904
Bases of 1038820131048
- Binary: 11110001110111101000000101000000111010002
- Hexadecimal: 0xF1DE8140E8
- Base-36: D986ON3C
Squares and roots of 1038820131048
- 1038820131048 squared (10388201310482) is 1079147264670583893578304
- 1038820131048 cubed (10388201310483) is 1121039902905186700877691846929582592
-
The
square root of 1038820131048 is 1019225.2602089491 -
The
cube root of 1038820131048 is 10127.7611931259
Scales and comparisons
How big is 1038820131048?- 1,038,820,131,048 seconds is equal to 33,031 years, 13 weeks, 6 days, 3 hours, 30 minutes, 48 seconds.
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To count from 1 to 1,038,820,131,048 would take you about eighty-two thousand, five hundred seventy-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 1038820131048 cubic inches would be around 844 feet tall.
Recreational maths with 1038820131048
- 1038820131048 backwards is 8401310288301
- The number of decimal digits it has is: 13
- The sum of 1038820131048's digits is 39
- More coming soon!
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