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141311232 = 283261333
BaseRepresentation
bin10000110110000…
…11110100000000
3100211220100120100
420123003310000
5242133424412
622004442400
73334061046
oct1033036400
9324810510
10141311232
1172848247
123b3a9400
132337911a
1414aa6396
15c614edc
hex86c3d00

141311232 has 54 divisors (see below), whose sum is σ = 407441762. Its totient is φ = 47102976.

The previous prime is 141311231. The next prime is 141311257. The reversal of 141311232 is 232113141.

It can be written as a sum of positive squares in only one way, i.e., 140564736 + 746496 = 11856^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141311231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28363 + ... + 32970.

Almost surely, 2141311232 is an apocalyptic number.

141311232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141311232 is an abundant number, since it is smaller than the sum of its proper divisors (266130530).

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

141311232 is an equidigital number, since it uses as much as digits as its factorization.

141311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61355 (or 61338 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 141311232 is about 11887.4400944863. The cubic root of 141311232 is about 520.8654621218.

Adding to 141311232 its reverse (232113141), we get a palindrome (373424373).

The spelling of 141311232 in words is "one hundred forty-one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 61333 122666 183999 245332 367998 490664 551997 735996 981328 1103994 1471992 1962656 2207988 2943984 3925312 4415976 5887968 7850624 8831952 11775936 15701248 17663904 23551872 35327808 47103744 70655616 141311232