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141714144 = 253311133137
BaseRepresentation
bin10000111001001…
…10001011100000
3100212122211021000
420130212023200
5242234323034
622021232000
73340356525
oct1034461340
9325584230
10141714144
1172aa2a30
123b562600
132348a630
1414b6d14c
15c694599
hex87262e0

141714144 has 384 divisors, whose sum is σ = 514805760. Its totient is φ = 37324800.

The previous prime is 141714119. The next prime is 141714151. The reversal of 141714144 is 441417141.

141714144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3830094 + ... + 3830130.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2141714144 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 141714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

141714144 is an abundant number, since it is smaller than the sum of its proper divisors (373091616).

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

141714144 is a wasteful number, since it uses less digits than its factorization.

141714144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 141714144 is about 11904.3749940936. The cubic root of 141714144 is about 521.3600295648.

The spelling of 141714144 in words is "one hundred forty-one million, seven hundred fourteen thousand, one hundred forty-four".