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145313399 = 71117313581
BaseRepresentation
bin10001010100101…
…00111001110111
3101010102200111202
420222110321313
5244200012044
622230323115
73413100140
oct1052247167
9333380452
10145313399
1175031120
12407b949b
132414a97a
1415428ac7
15cb55c4e
hex8a94e77

145313399 has 32 divisors (see below), whose sum is σ = 198070272. Its totient is φ = 103104000.

The previous prime is 145313353. The next prime is 145313417. The reversal of 145313399 is 993313541.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-145313399 is a prime.

It is a super-2 number, since 2×1453133992 = 42231967857866402, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145313309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38789 + ... + 42369.

It is an arithmetic number, because the mean of its divisors is an integer number (6189696).

Almost surely, 2145313399 is an apocalyptic number.

145313399 is a deficient number, since it is larger than the sum of its proper divisors (52756873).

145313399 is a wasteful number, since it uses less digits than its factorization.

145313399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647.

The product of its digits is 43740, while the sum is 38.

The square root of 145313399 is about 12054.6007399665. The cubic root of 145313399 is about 525.7370135474.

The spelling of 145313399 in words is "one hundred forty-five million, three hundred thirteen thousand, three hundred ninety-nine".

Divisors: 1 7 11 17 31 77 119 187 217 341 527 1309 2387 3581 3689 5797 25067 39391 40579 60877 111011 275737 426139 669647 777077 1221121 1887187 4687529 8547847 13210309 20759057 145313399