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1042153103040 = 26357236742709
BaseRepresentation
bin11110010101001010010…
…10100101111011000000
310200121222102220221002120
433022211022211323000
5114033312143244130
62114431501444240
7135202345134120
oct17124512457300
93617872827076
101042153103040
11371a7a292135
12149b86b70680
137737543c86a
1438624964c80
151c1972a4910
hexf2a52a5ec0

1042153103040 has 224 divisors, whose sum is σ = 3945941775360. Its totient is φ = 227849588736.

The previous prime is 1042153103021. The next prime is 1042153103041. The reversal of 1042153103040 is 403013512401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1042153103040.

It is not an unprimeable number, because it can be changed into a prime (1042153103041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3216795 + ... + 3525914.

Almost surely, 21042153103040 is an apocalyptic number.

1042153103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042153103040 is an abundant number, since it is smaller than the sum of its proper divisors (2903788672320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1042153103040 is a wasteful number, since it uses less digits than its factorization.

1042153103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742759 (or 6742749 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1042153103040 its reverse (403013512401), we get a palindrome (1445166615441).

The spelling of 1042153103040 in words is "one trillion, forty-two billion, one hundred fifty-three million, one hundred three thousand, forty".