Base | Representation |
---|---|
bin | 11101110010000110110… |
… | …10111001011101110000 |
3 | 10121211101212012222000100 |
4 | 32321003122321131300 |
5 | 113231241313403130 |
6 | 2102040212552400 |
7 | 133635103610253 |
oct | 16710332713560 |
9 | 3554355188010 |
10 | 1023333341040 |
11 | 364aa1aa141a |
12 | 1463b4322700 |
13 | 7566642a40a |
14 | 3775b30709a |
15 | 1b944e6dc60 |
hex | ee436b9770 |
1023333341040 has 120 divisors (see below), whose sum is σ = 3436999692048. Its totient is φ = 272864655360.
The previous prime is 1023333341033. The next prime is 1023333341101. The reversal of 1023333341040 is 401433333201.
1023333341040 is a `hidden beast` number, since 10 + 233 + 3 + 3 + 3 + 410 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×10233333410402 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1023333340995 and 1023333341013.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8940975 + ... + 9054705.
Almost surely, 21023333341040 is an apocalyptic number.
1023333341040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1023333341040 is an abundant number, since it is smaller than the sum of its proper divisors (2413666351008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023333341040 is a wasteful number, since it uses less digits than its factorization.
1023333341040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 126247 (or 126238 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 1023333341040 its reverse (401433333201), we get a palindrome (1424766674241).
The spelling of 1023333341040 in words is "one trillion, twenty-three billion, three hundred thirty-three million, three hundred forty-one thousand, forty".
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