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141120224 = 257679403
BaseRepresentation
bin10000110100101…
…01001011100000
3100211112122112222
420122111023200
5242111321344
622000410212
73332334140
oct1032251340
9324478488
10141120224
1172727793
123b316968
13233101bb
1414a56920
15c5c85ee
hex86952e0

141120224 has 48 divisors (see below), whose sum is σ = 322293888. Its totient is φ = 59571072.

The previous prime is 141120223. The next prime is 141120233. The reversal of 141120224 is 422021141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141120223) 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 7 ways as a sum of consecutive naturals, for example, 10307 + ... + 19709.

It is an arithmetic number, because the mean of its divisors is an integer number (6714456).

Almost surely, 2141120224 is an apocalyptic number.

141120224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161146944).

141120224 is an abundant number, since it is smaller than the sum of its proper divisors (181173664).

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

141120224 is an equidigital number, since it uses as much as digits as its factorization.

141120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9487 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 141120224 is about 11879.4033520207. The cubic root of 141120224 is about 520.6306746282.

Adding to 141120224 its reverse (422021141), we get a palindrome (563141365).

The spelling of 141120224 in words is "one hundred forty-one million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1876 2144 3752 7504 9403 15008 18806 37612 65821 75224 131642 150448 263284 300896 526568 630001 1053136 1260002 2106272 2520004 4410007 5040008 8820014 10080016 17640028 20160032 35280056 70560112 141120224