Base | Representation |
---|---|
bin | 11101101110101000101… |
… | …100110010000001000000 |
3 | 21020022011222121112111110 |
4 | 131232220230302001000 |
5 | 231432420040331323 |
6 | 4202302533243320 |
7 | 300411644405400 |
oct | 35565054620100 |
9 | 7208158545443 |
10 | 2042939777088 |
11 | 718451276971 |
12 | 28bb28493540 |
13 | 11a8576a38b2 |
14 | 70c43668800 |
15 | 3821cb0e793 |
hex | 1dba8b32040 |
2042939777088 has 336 divisors, whose sum is σ = 6757044753600. Its totient is φ = 541159686144.
The previous prime is 2042939777083. The next prime is 2042939777089. The reversal of 2042939777088 is 8807779392402.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-3 number, since 3×20429397770883 (a number of 38 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (2042939777083) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10620388 + ... + 10811036.
Almost surely, 22042939777088 is an apocalyptic number.
2042939777088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2042939777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378522376800).
2042939777088 is an abundant number, since it is smaller than the sum of its proper divisors (4714104976512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2042939777088 is a wasteful number, since it uses less digits than its factorization.
2042939777088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 190762 (or 190745 counting only the distinct ones).
The product of its (nonzero) digits is 85349376, while the sum is 66.
The spelling of 2042939777088 in words is "two trillion, forty-two billion, nine hundred thirty-nine million, seven hundred seventy-seven thousand, eighty-eight".
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