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1443442500 = 22325464153
BaseRepresentation
bin101011000001001…
…0010111101000100
310201121002110212100
41112002102331010
510424010130000
6355121552100
750525026113
oct12602227504
93647073770
101443442500
11680870795
123434a5630
131a007c1b6
14d99bdc7a
1586ac6a00
hex56092f44

1443442500 has 90 divisors (see below), whose sum is σ = 4559488934. Its totient is φ = 384912000.

The previous prime is 1443442499. The next prime is 1443442513. The reversal of 1443442500 is 52443441.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 152621316 + 1290821184 = 12354^2 + 35928^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9577 + ... + 54576.

Almost surely, 21443442500 is an apocalyptic number.

1443442500 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 1443442500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279744467).

1443442500 is an abundant number, since it is smaller than the sum of its proper divisors (3116046434).

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

1443442500 is a wasteful number, since it uses less digits than its factorization.

1443442500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64183 (or 64163 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1443442500 is about 37992.6637655219. The cubic root of 1443442500 is about 1130.1423842302.

Adding to 1443442500 its reverse (52443441), we get a palindrome (1495885941).

The spelling of 1443442500 in words is "one billion, four hundred forty-three million, four hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 64153 128306 192459 256612 320765 384918 577377 641530 769836 962295 1154754 1283060 1603825 1924590 2309508 2886885 3207650 3849180 4811475 5773770 6415300 8019125 9622950 11547540 14434425 16038250 19245900 24057375 28868850 32076500 40095625 48114750 57737700 72172125 80191250 96229500 120286875 144344250 160382500 240573750 288688500 360860625 481147500 721721250 1443442500