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1146038145 = 35724145289
BaseRepresentation
bin100010001001111…
…0010011110000001
32221212110202210020
41010103302132001
54321341210040
6305415324053
740254110040
oct10423623601
92855422706
101146038145
115389aa46a
1227b980629
1315357c9a5
14ac2c4557
156a92bcd0
hex444f2781

1146038145 has 32 divisors (see below), whose sum is σ = 2104354560. Its totient is φ = 521717760.

The previous prime is 1146038087. The next prime is 1146038147. The reversal of 1146038145 is 5418306411.

It is not a de Polignac number, because 1146038145 - 212 = 1146034049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1146038147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2661 + ... + 47949.

It is an arithmetic number, because the mean of its divisors is an integer number (65761080).

Almost surely, 21146038145 is an apocalyptic number.

1146038145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1146038145 is a deficient number, since it is larger than the sum of its proper divisors (958316415).

1146038145 is a wasteful number, since it uses less digits than its factorization.

1146038145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45545.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1146038145 is about 33853.1851529513. The cubic root of 1146038145 is about 1046.4850401687.

The spelling of 1146038145 in words is "one billion, one hundred forty-six million, thirty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 241 723 1205 1687 3615 5061 8435 25305 45289 135867 226445 317023 679335 951069 1585115 4755345 10914649 32743947 54573245 76402543 163719735 229207629 382012715 1146038145