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141829401 = 3729463503
BaseRepresentation
bin10000111010000…
…10010100011001
3100212212200100210
420131002110121
5242302020101
622023521333
73341346540
oct1035022431
9325780323
10141829401
117307158a
123b5b9249
13234cac2c
1414b9d157
15c6b87d6
hex8742519

141829401 has 32 divisors (see below), whose sum is σ = 224501760. Its totient is φ = 77926464.

The previous prime is 141829393. The next prime is 141829403. The reversal of 141829401 is 104928141.

It is not a de Polignac number, because 141829401 - 23 = 141829393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141829403) 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 31 ways as a sum of consecutive naturals, for example, 281716 + ... + 282218.

It is an arithmetic number, because the mean of its divisors is an integer number (7015680).

Almost surely, 2141829401 is an apocalyptic number.

It is an amenable number.

141829401 is a deficient number, since it is larger than the sum of its proper divisors (82672359).

141829401 is a wasteful number, since it uses less digits than its factorization.

141829401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 141829401 is about 11909.2149615329. The cubic root of 141829401 is about 521.5013330554.

The spelling of 141829401 in words is "one hundred forty-one million, eight hundred twenty-nine thousand, four hundred one".

Divisors: 1 3 7 21 29 87 203 463 503 609 1389 1509 3241 3521 9723 10563 13427 14587 40281 43761 93989 102109 232889 281967 306327 698667 1630223 4890669 6753781 20261343 47276467 141829401