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1040152041 = 32857134857
BaseRepresentation
bin111101111111110…
…111010111101001
32200111020012100200
4331333313113221
54112234331131
6251114022413
734530101145
oct7577672751
92614205320
101040152041
11494158695
12250417a09
13137657ca6
149c200225
15614b32e6
hex3dff75e9

1040152041 has 12 divisors (see below), whose sum is σ = 1504206132. Its totient is φ = 692620416.

The previous prime is 1040152037. The next prime is 1040152073. The reversal of 1040152041 is 1402510401.

1040152041 is a `hidden beast` number, since 104 + 0 + 1 + 520 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 512071641 + 528080400 = 22629^2 + 22980^2 .

It is not a de Polignac number, because 1040152041 - 22 = 1040152037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1040152741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59716 + ... + 75141.

It is an arithmetic number, because the mean of its divisors is an integer number (125350511).

Almost surely, 21040152041 is an apocalyptic number.

It is an amenable number.

1040152041 is a deficient number, since it is larger than the sum of its proper divisors (464054091).

1040152041 is a wasteful number, since it uses less digits than its factorization.

1040152041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135720 (or 135717 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1040152041 is about 32251.3882026805. The cubic root of 1040152041 is about 1013.2087737762.

Adding to 1040152041 its reverse (1402510401), we get a palindrome (2442662442).

The spelling of 1040152041 in words is "one billion, forty million, one hundred fifty-two thousand, forty-one".

Divisors: 1 3 9 857 2571 7713 134857 404571 1213713 115572449 346717347 1040152041