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141919680 = 263573431
BaseRepresentation
bin10000111010110…
…00010111000000
3100220001021012110
420131120113000
5242312412210
622025455320
73342204000
oct1035302700
9326037173
10141919680
11731233a1
123b641540
1323530056
1414bc4000
15c6d5420
hex87585c0

141919680 has 224 divisors, whose sum is σ = 526694400. Its totient is φ = 32363520.

The previous prime is 141919663. The next prime is 141919693. The reversal of 141919680 is 86919141.

141919680 = T269 + T270 + ... + T954.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 329065 + ... + 329495.

Almost surely, 2141919680 is an apocalyptic number.

141919680 is a gapful number since it is divisible by the number (10) 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 141919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263347200).

141919680 is an abundant number, since it is smaller than the sum of its proper divisors (384774720).

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

141919680 is an equidigital number, since it uses as much as digits as its factorization.

141919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 141919680 is about 11913.0046587752. The cubic root of 141919680 is about 521.6119604067.

It can be divided in two parts, 14191 and 9680, that added together give a triangular number (23871 = T218).

The spelling of 141919680 in words is "one hundred forty-one million, nine hundred nineteen thousand, six hundred eighty".