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141399216 = 243371923107
BaseRepresentation
bin10000110110110…
…01010010110000
3100212001211021000
420123121102300
5242144233331
622010402000
73334605420
oct1033312260
9325054230
10141399216
11728a8362
123b430300
13233aa19a
1414aca480
15c6310e6
hex86d94b0

141399216 has 320 divisors, whose sum is σ = 514252800. Its totient is φ = 36267264.

The previous prime is 141399169. The next prime is 141399227. The reversal of 141399216 is 612993141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1321435 + ... + 1321541.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2141399216 is an apocalyptic number.

141399216 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 141399216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

141399216 is an abundant number, since it is smaller than the sum of its proper divisors (372853584).

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

141399216 is a wasteful number, since it uses less digits than its factorization.

141399216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 141399216 is about 11891.1402312814. The cubic root of 141399216 is about 520.9735410959.

The spelling of 141399216 in words is "one hundred forty-one million, three hundred ninety-nine thousand, two hundred sixteen".