1001948131072
1,001,948,131,072 is an even composite number composed of five prime numbers multiplied together.
1001948131072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 1001948131072:
28 × 7 × 73 × 97 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 73 × 97 × 281 × 281)See below for interesting mathematical facts about the number 1001948131072 from the Numbermatics database.
Names of 1001948131072
- Cardinal: 1001948131072 can be written as One trillion, one billion, nine hundred forty-eight million, one hundred thirty-one thousand and seventy-two.
Scientific notation
- Scientific notation: 1.001948131072 × 1012
Factors of 1001948131072
Divisors of 1001948131072
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 7 8 14 16 28 32 56 64 73 97 112 128 146 194 224 256 281 292 388 448 511 562 584 679 776 896 1022 1124 1168 1358 1552 1792 1967 2044 2248 2336 2716 3104 3934 4088 4496 4672 5432 6208 7081 7868 8176 8992 9344 10864 12416 14162 15736 16352 17984 18688 20513 21728 24832 27257 28324 31472 32704 35968 41026 43456 49567 54514 56648 62944 65408 71936 78961 82052 86912 99134 109028 113296 125888 130816 143591 157922 164104 173824 190799 198268 218056 226592 251776 287182 315844 328208 381598 396536 436112 453184 503552 552727 574364 631688 656416 763196 793072 872224 906368 1105454 1148728 1263376 1312832 1526392 1586144 1744448 1812736 1989761 2210908 2297456 2526752 2625664 3052784 3172288 3488896 3979522 4421816 4594912 5053504 5251328 5764153 6105568 6344576 6977792 7659217 7959044 8843632 9189824 10107008 11528306 12211136 12689152 13928327 15318434 15918088 17687264 18379648 20214016 23056612 24422272 27856654 30636868 31836176 35374528 36759296 40349071 46113224 48844544 53614519 55713308 61273736 63672352 70749056 80698142 92226448 107229038 111426616 122547472 127344704 141498112 161396284 184452896 214458076 222853232 245094944 254689408 322792568 368905792 428916152 445706464 490189888 509378816 559122841 645585136 737811584 857832304 891412928 980379776 1118245682 1291170272 1475623168 1715664608 1782825856 1960759552 2236491364 2582340544 3431329216 3565651712 3913859887 4472982728 5164681088 6862658432 7827719774 8945965456 10329362176 13725316864 15655439548 17891930912 31310879096 35783861824 62621758192 71567723648 125243516384 143135447296 250487032768 500974065536 1001948131072
- Sum of all divisors σ(n): 2349251924768
- Sum of proper divisors (its aliquot sum) s(n): 1347303793696
- 1001948131072 is an abundant number, because the sum of its proper divisors (1347303793696) is greater than itself. Its abundance is 345355662624
Bases of 1001948131072
- Binary: 11101001010010001100001100101111000000002
- Hexadecimal: 0xE948C32F00
- Base-36: CSAE1PTS
Squares and roots of 1001948131072
- 1001948131072 squared (10019481310722) is 1003900057358673691869184
- 1001948131072 cubed (10019481310723) is 1005855786253596706337023311109685248
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The
square root of 1001948131072 is 1000973.5915957023 -
The
cube root of 1001948131072 is 10006.4895578929
Scales and comparisons
How big is 1001948131072?- 1,001,948,131,072 seconds is equal to 31,858 years, 44 weeks, 1 day, 21 hours, 17 minutes, 52 seconds.
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To count from 1 to 1,001,948,131,072 would take you about seventy-nine thousand, six hundred forty-seven 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 1001948131072 cubic inches would be around 833.9 feet tall.
Recreational maths with 1001948131072
- 1001948131072 backwards is 2701318491001
- The number of decimal digits it has is: 13
- The sum of 1001948131072's digits is 37
- More coming soon!
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