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141411454400 = 26523711321139
BaseRepresentation
bin1000001110110011000…
…1111000110111000000
3111112000012121012012002
42003230301320313000
54304102313020100
6144544042123132
713134210346466
oct2035461706700
9445005535162
10141411454400
1154a77096787
12234a64b04a8
1310448121308
146bb6c82836
153a29aca2d5
hex20ecc78dc0

141411454400 has 168 divisors, whose sum is σ = 360544475760. Its totient is φ = 54546186240.

The previous prime is 141411454333. The next prime is 141411454463. The reversal of 141411454400 is 4454114141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6679031 + ... + 6700169.

It is an arithmetic number, because the mean of its divisors is an integer number (2146098070).

Almost surely, 2141411454400 is an apocalyptic number.

141411454400 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 141411454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180272237880).

141411454400 is an abundant number, since it is smaller than the sum of its proper divisors (219133021360).

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

141411454400 is a wasteful number, since it uses less digits than its factorization.

141411454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21311 (or 21296 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 141411454400 its reverse (4454114141), we get a palindrome (145865568541).

The spelling of 141411454400 in words is "one hundred forty-one billion, four hundred eleven million, four hundred fifty-four thousand, four hundred".