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1042076400741 = 32202957065681
BaseRepresentation
bin11110010101000001001…
…01111111110001100101
310200121210002121001022200
433022200211333301211
5114033133024310431
62114420121445113
7135200424154215
oct17124045776145
93617702531280
101042076400741
11371a3aa63602
12149b65340799
137736259549c
14386186ba245
151c1906a2ee6
hexf2a097fc65

1042076400741 has 12 divisors (see below), whose sum is σ = 1505963347980. Its totient is φ = 694375194240.

The previous prime is 1042076400737. The next prime is 1042076400751. The reversal of 1042076400741 is 1470046702401.

It is a happy number.

1042076400741 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 7 + 640 + 0 + 7 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 524617733025 + 517458667716 = 724305^2 + 719346^2 .

It is not a de Polignac number, because 1042076400741 - 22 = 1042076400737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1042076400696 and 1042076400705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042076400751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28514580 + ... + 28551101.

It is an arithmetic number, because the mean of its divisors is an integer number (125496945665).

Almost surely, 21042076400741 is an apocalyptic number.

It is an amenable number.

1042076400741 is a deficient number, since it is larger than the sum of its proper divisors (463886947239).

1042076400741 is a wasteful number, since it uses less digits than its factorization.

1042076400741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57067716 (or 57067713 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 1042076400741 in words is "one trillion, forty-two billion, seventy-six million, four hundred thousand, seven hundred forty-one".

Divisors: 1 3 9 2029 6087 18261 57065681 171197043 513591129 115786266749 347358800247 1042076400741