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141482016 = 253213233153
BaseRepresentation
bin10000110111011…
…01100000100000
3100212020000211200
420123231200200
5242204411031
622012241200
73335402004
oct1033554040
9325200750
10141482016
1172954595
123b470200
1323408a90
1414b0c704
15c64a8e6
hex86ed820

141482016 has 288 divisors, whose sum is σ = 475517952. Its totient is φ = 39536640.

The previous prime is 141482009. The next prime is 141482053. The reversal of 141482016 is 610284141.

It is a happy number.

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

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 47 ways as a sum of consecutive naturals, for example, 2669446 + ... + 2669498.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2141482016 is an apocalyptic number.

141482016 is a gapful number since it is divisible by the number (16) 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 141482016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

141482016 is an abundant number, since it is smaller than the sum of its proper divisors (334035936).

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

141482016 is a wasteful number, since it uses less digits than its factorization.

141482016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 141482016 is about 11894.6213054473. The cubic root of 141482016 is about 521.0752111363.

The spelling of 141482016 in words is "one hundred forty-one million, four hundred eighty-two thousand, sixteen".