1004006004001
1,004,006,004,001 is an odd composite number composed of three prime numbers multiplied together.
1004006004001 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred twenty-five divisors.
Prime factorization of 1004006004001:
74 × 114 × 134
(7 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 1004006004001 from the Numbermatics database.
Names of 1004006004001
- Cardinal: 1004006004001 can be written as One trillion, four billion, six million, four thousand and one.
Scientific notation
- Scientific notation: 1.004006004001 × 1012
Factors of 1004006004001
Divisors of 1004006004001
- Number of divisors d(n): 125
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Complete list of divisors:
1 7 11 13 49 77 91 121 143 169 343 539 637 847 1001 1183 1331 1573 1859 2197 2401 3773 4459 5929 7007 8281 9317 11011 13013 14641 15379 17303 20449 24167 26411 28561 31213 41503 49049 57967 65219 77077 91091 102487 107653 121121 143143 169169 190333 199927 224939 265837 290521 314171 343343 405769 456533 539539 637637 717409 753571 847847 1002001 1184183 1332331 1399489 1574573 1860859 2199197 2474329 2924207 3195731 3455881 3776773 4463459 5021863 5274997 5934929 7014007 8289281 9326317 9796423 11022011 13026013 15394379 17320303 20469449 24191167 32166277 35153041 38014691 41544503 49098049 58024967 65284219 68574961 77154077 91182091 107760653 121242121 143286143 169338169 225163939 266102837 418161601 456989533 540078539 638274637 754324571 848694847 1003003001 1185367183 1576147573 1862719859 2927131207 5940863929 7021021007 8297570281 11033033011 13039039013 20489918449 77231231077 91273273091 143429429143 1004006004001
- Sum of all divisors σ(n): 1395751758805
- Sum of proper divisors (its aliquot sum) s(n): 391745754804
- 1004006004001 is a deficient number, because the sum of its proper divisors (391745754804) is less than itself. Its deficiency is 612260249197
Bases of 1004006004001
- Binary: 11101001110000110110101111010101001000012
- Hexadecimal: 0xE9C36BD521
- Base-36: CT8F92QP
Squares and roots of 1004006004001
- 1004006004001 squared (10040060040012) is 1008028056070056028008001
- 1004006004001 cubed (10040060040013) is 1012066220495792924792495220066012001
-
1004006004001 is a
perfect square number . Itssquare root is 1002001 -
The
cube root of 1004006004001 is 10013.3355550619
Scales and comparisons
How big is 1004006004001?- 1,004,006,004,001 seconds is equal to 31,924 years, 14 weeks, 5 days, 20 hours, 40 minutes, 1 second.
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To count from 1 to 1,004,006,004,001 would take you about seventy-nine thousand, eight hundred ten 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 1004006004001 cubic inches would be around 834.4 feet tall.
Recreational maths with 1004006004001
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