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141824214 = 23273673067
BaseRepresentation
bin10000111010000…
…01000011010110
3100212212102020200
420131001003112
5242301333324
622023441330
73341325450
oct1035010326
9325772220
10141824214
11730686a4
123b5b6246
13234c876c
1414b9b2d0
15c6b6ec9
hex87410d6

141824214 has 48 divisors (see below), whose sum is σ = 352255488. Its totient is φ = 40397616.

The previous prime is 141824213. The next prime is 141824257. The reversal of 141824214 is 412428141.

141824214 is a `hidden beast` number, since 1 + 418 + 242 + 1 + 4 = 666.

It is a super-2 number, since 2×1418242142 = 40228215353435592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141824213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44709 + ... + 47775.

It is an arithmetic number, because the mean of its divisors is an integer number (7338656).

Almost surely, 2141824214 is an apocalyptic number.

141824214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

141824214 is an abundant number, since it is smaller than the sum of its proper divisors (210431274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141824214 is a wasteful number, since it uses less digits than its factorization.

141824214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3446 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 141824214 is about 11908.9971870011. The cubic root of 141824214 is about 521.4949755104.

The spelling of 141824214 in words is "one hundred forty-one million, eight hundred twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 367 734 1101 2202 2569 3067 3303 5138 6134 6606 7707 9201 15414 18402 21469 23121 27603 42938 46242 55206 64407 128814 193221 386442 1125589 2251178 3376767 6753534 7879123 10130301 15758246 20260602 23637369 47274738 70912107 141824214