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144641041400 = 2352723205207
BaseRepresentation
bin1000011010110101000…
…1110010001111111000
3111211100021122012200102
42012231101302033320
54332211101311100
6150240331254532
713310224365152
oct2065521621770
9454307565612
10144641041400
1156384108249
1224047baa448
131084124bb3b
147001b6dad2
153b683becd5
hex21ad4723f8

144641041400 has 24 divisors (see below), whose sum is σ = 336290421720. Its totient is φ = 57856416480.

The previous prime is 144641041343. The next prime is 144641041421. The reversal of 144641041400 is 4140146441.

144641041400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 5 ways as a sum of consecutive naturals, for example, 361602404 + ... + 361602803.

It is an arithmetic number, because the mean of its divisors is an integer number (14012100905).

Almost surely, 2144641041400 is an apocalyptic number.

144641041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144641041400 is an abundant number, since it is smaller than the sum of its proper divisors (191649380320).

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

144641041400 is a wasteful number, since it uses less digits than its factorization.

144641041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723205223 (or 723205214 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 144641041400 its reverse (4140146441), we get a palindrome (148781187841).

The spelling of 144641041400 in words is "one hundred forty-four billion, six hundred forty-one million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 723205207 1446410414 2892820828 3616026035 5785641656 7232052070 14464104140 18080130175 28928208280 36160260350 72320520700 144641041400