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141412432 = 2472317569
BaseRepresentation
bin10000110110111…
…00100001010000
3100212002111101111
420123130201100
5242200144212
622010543104
73334662100
oct1033344120
9325074344
10141412432
1172907287
123b437a94
13233b31c5
1414ad1200
15c634ea7
hex86dc850

141412432 has 60 divisors (see below), whose sum is σ = 320286420. Its totient is φ = 60307968.

The previous prime is 141412417. The next prime is 141412433. The reversal of 141412432 is 234214141.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14714896 + 126697536 = 3836^2 + 11256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141412433) 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 11 ways as a sum of consecutive naturals, for example, 248244 + ... + 248812.

It is an arithmetic number, because the mean of its divisors is an integer number (5338107).

Almost surely, 2141412432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160143210).

141412432 is an abundant number, since it is smaller than the sum of its proper divisors (178873988).

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

141412432 is a wasteful number, since it uses less digits than its factorization.

141412432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 895 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 141412432 is about 11891.6959261495. The cubic root of 141412432 is about 520.9897716710.

Adding to 141412432 its reverse (234214141), we get a palindrome (375626573).

The spelling of 141412432 in words is "one hundred forty-one million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 317 392 569 634 784 1138 1268 2219 2276 2536 3983 4438 4552 5072 7966 8876 9104 15533 15932 17752 27881 31066 31864 35504 55762 62132 63728 111524 124264 180373 223048 248528 360746 446096 721492 1262611 1442984 2525222 2885968 5050444 8838277 10100888 17676554 20201776 35353108 70706216 141412432