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146082141 = 32137257461
BaseRepresentation
bin10001011010100…
…00100101011101
3101011212202000200
420231100211131
5244344112031
622255014113
73422451312
oct1055204535
9334782020
10146082141
1175506747
1240b0a339
132435984a
1415588d09
15cc588e6
hex8b5095d

146082141 has 24 divisors (see below), whose sum is σ = 213837624. Its totient is φ = 96092160.

The previous prime is 146082109. The next prime is 146082149. The reversal of 146082141 is 141280641.

It is a happy number.

146082141 is a `hidden beast` number, since 14 + 608 + 2 + 1 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57062916 + 89019225 = 7554^2 + 9435^2 .

It is not a de Polignac number, because 146082141 - 25 = 146082109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146082149) 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 23 ways as a sum of consecutive naturals, for example, 316651 + ... + 317111.

It is an arithmetic number, because the mean of its divisors is an integer number (8909901).

Almost surely, 2146082141 is an apocalyptic number.

It is an amenable number.

146082141 is a deficient number, since it is larger than the sum of its proper divisors (67755483).

146082141 is a wasteful number, since it uses less digits than its factorization.

146082141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 146082141 is about 12086.4445144137. Note that the first 3 decimals coincide. The cubic root of 146082141 is about 526.6624742407.

The spelling of 146082141 in words is "one hundred forty-six million, eighty-two thousand, one hundred forty-one".

Divisors: 1 3 9 137 257 411 461 771 1233 1383 2313 4149 35209 63157 105627 118477 189471 316881 355431 568413 1066293 16231349 48694047 146082141