Search a number
-
+
45434341200 = 2435237861951
BaseRepresentation
bin101010010100000110…
…010000011101010000
311100021101201200011210
4222110012100131100
51221022142404300
632512223340120
73165622346103
oct522406203520
9140241650153
1045434341200
11182a5557016
12897ba51640
134390bb7681
1422b021273a
1512adb37050
hexa94190750

45434341200 has 60 divisors (see below), whose sum is σ = 145541343488. Its totient is φ = 12115824000.

The previous prime is 45434341193. The next prime is 45434341201. The reversal of 45434341200 is 214343454.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45434341201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18929776 + ... + 18932175.

Almost surely, 245434341200 is an apocalyptic number.

45434341200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45434341200 is an abundant number, since it is smaller than the sum of its proper divisors (100107002288).

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

45434341200 is a wasteful number, since it uses less digits than its factorization.

45434341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37861972 (or 37861961 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 45434341200 its reverse (214343454), we get a palindrome (45648684654).

The spelling of 45434341200 in words is "forty-five billion, four hundred thirty-four million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 37861951 75723902 113585853 151447804 189309755 227171706 302895608 378619510 454343412 567929265 605791216 757239020 908686824 946548775 1135858530 1514478040 1817373648 1893097550 2271717060 2839646325 3028956080 3786195100 4543434120 5679292650 7572390200 9086868240 11358585300 15144780400 22717170600 45434341200