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141330432 = 211323003
BaseRepresentation
bin10000110110010…
…00100000000000
3100211221022220110
420123020200000
5242140033212
622005111320
73334201035
oct1033104000
9324838813
10141330432
1172860711
123b3b8540
1323384a99
1414aad38c
15c61aa3c
hex86c8800

141330432 has 48 divisors (see below), whose sum is σ = 376805520. Its totient is φ = 47108096.

The previous prime is 141330419. The next prime is 141330437. The reversal of 141330432 is 234033141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 141330399 and 141330408.

It is not an unprimeable number, because it can be changed into a prime (141330437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5358 + ... + 17645.

It is an arithmetic number, because the mean of its divisors is an integer number (7850115).

Almost surely, 2141330432 is an apocalyptic number.

141330432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141330432 is an abundant number, since it is smaller than the sum of its proper divisors (235475088).

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

141330432 is an equidigital number, since it uses as much as digits as its factorization.

141330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23028 (or 23008 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 141330432 is about 11888.2476421044. The cubic root of 141330432 is about 520.8890511030.

Adding to 141330432 its reverse (234033141), we get a palindrome (375363573).

The spelling of 141330432 in words is "one hundred forty-one million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 23003 46006 69009 92012 138018 184024 276036 368048 552072 736096 1104144 1472192 2208288 2944384 4416576 5888768 8833152 11777536 17666304 23555072 35332608 47110144 70665216 141330432