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1004140413 = 32379294383
BaseRepresentation
bin111011110110011…
…111011101111101
32120222110121200200
4323312133131331
54024024443123
6243350114113
733612024033
oct7366373575
92528417620
101004140413
114758a1611
1224034b939
13130059933
1497508553
155d24d143
hex3bd9f77d

1004140413 has 12 divisors (see below), whose sum is σ = 1454256960. Its totient is φ = 667658376.

The previous prime is 1004140387. The next prime is 1004140451. The reversal of 1004140413 is 3140414001.

It is not a de Polignac number, because 1004140413 - 28 = 1004140157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004140913) 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, 143781 + ... + 150602.

It is an arithmetic number, because the mean of its divisors is an integer number (121188080).

Almost surely, 21004140413 is an apocalyptic number.

It is an amenable number.

1004140413 is a deficient number, since it is larger than the sum of its proper divisors (450116547).

1004140413 is a wasteful number, since it uses less digits than its factorization.

1004140413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294768 (or 294765 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1004140413 is about 31688.1746555399. The cubic root of 1004140413 is about 1001.3782372561.

Adding to 1004140413 its reverse (3140414001), we get a palindrome (4144554414).

The spelling of 1004140413 in words is "one billion, four million, one hundred forty thousand, four hundred thirteen".

Divisors: 1 3 9 379 1137 3411 294383 883149 2649447 111571157 334713471 1004140413