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141275232 = 2533724771
BaseRepresentation
bin10000110101110…
…11000001100000
3100211211112012000
420122323001200
5242131301412
622004004000
73333551100
oct1032730140
9324745160
10141275232
117282319a
123b390600
1323365917
1414a97200
15c6094dc
hex86bb060

141275232 has 288 divisors, whose sum is σ = 496419840. Its totient is φ = 38949120.

The previous prime is 141275231. The next prime is 141275237. The reversal of 141275232 is 232572141.

141275232 is a `hidden beast` number, since 14 + 127 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 141275196 and 141275205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141275231) 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 47 ways as a sum of consecutive naturals, for example, 1989757 + ... + 1989827.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2141275232 is an apocalyptic number.

141275232 is a gapful number since it is divisible by the number (12) 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 141275232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

141275232 is an abundant number, since it is smaller than the sum of its proper divisors (355144608).

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

141275232 is a wasteful number, since it uses less digits than its factorization.

141275232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 141275232 is about 11885.9257948214. The cubic root of 141275232 is about 520.8212270224.

The spelling of 141275232 in words is "one hundred forty-one million, two hundred seventy-five thousand, two hundred thirty-two".