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146190141 = 32315983107
BaseRepresentation
bin10001011011010…
…10111100111101
3101012002020011200
420231222330331
5244411041031
622301210113
73423411216
oct1055527475
9335066150
10146190141
117557a8a9
1240b60939
1324396a56
14155b640d
15cc7a8e6
hex8b6af3d

146190141 has 48 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 90744480.

The previous prime is 146190119. The next prime is 146190151. The reversal of 146190141 is 141091641.

146190141 is a `hidden beast` number, since 1 + 4 + 619 + 0 + 1 + 41 = 666.

It is not a de Polignac number, because 146190141 - 27 = 146190013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146190151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366210 + ... + 1366316.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2146190141 is an apocalyptic number.

It is an amenable number.

146190141 is a deficient number, since it is larger than the sum of its proper divisors (80246979).

146190141 is a wasteful number, since it uses less digits than its factorization.

146190141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 146190141 is about 12090.9115041009. The cubic root of 146190141 is about 526.7922312285.

The spelling of 146190141 in words is "one hundred forty-six million, one hundred ninety thousand, one hundred forty-one".

Divisors: 1 3 9 31 59 83 93 107 177 249 279 321 531 747 963 1829 2573 3317 4897 5487 6313 7719 8881 9951 14691 16461 18939 23157 26643 29853 44073 56817 79929 151807 195703 275311 455421 523979 587109 825933 1366263 1571937 1761327 2477799 4715811 16243349 48730047 146190141