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141434941248 = 26327910492963
BaseRepresentation
bin1000001110111000101…
…1011110111101000000
3111112001211210110002100
42003232023132331000
54304124321104443
6144550241350400
713134614110326
oct2035613367500
9445054713070
10141434941248
1154a893787a7
12234b2338400
131044cc55863
146bba037d16
153a2bbb93d3
hex20ee2def40

141434941248 has 168 divisors, whose sum is σ = 411059376000. Its totient is φ = 46488139776.

The previous prime is 141434941237. The next prime is 141434941303. The reversal of 141434941248 is 842149434141.

141434941248 is a `hidden beast` number, since 1 + 4 + 1 + 434 + 94 + 124 + 8 = 666.

141434941248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (442368) is a multiple of the sum of its prime divisors (4096).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47732215 + ... + 47735177.

It is an arithmetic number, because the mean of its divisors is an integer number (2446782000).

Almost surely, 2141434941248 is an apocalyptic number.

141434941248 is a gapful number since it is divisible by the number (18) 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 141434941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205529688000).

141434941248 is an abundant number, since it is smaller than the sum of its proper divisors (269624434752).

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

141434941248 is a wasteful number, since it uses less digits than its factorization.

141434941248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4096 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 141434941248 in words is "one hundred forty-one billion, four hundred thirty-four million, nine hundred forty-one thousand, two hundred forty-eight".