Search a number
-
+
144533000000 = 2656197607
BaseRepresentation
bin1000011010011011010…
…1101000111101000000
3111211001202100010202002
42012212311220331000
54332000422000000
6150221511443132
713304443141514
oct2064665507500
9454052303662
10144533000000
1156329124134
12240179864a8
1310824a5110c
146dd1688144
153b5db7c8d5
hex21a6d68f40

144533000000 has 196 divisors, whose sum is σ = 377423293920. Its totient is φ = 54763200000.

The previous prime is 144532999993. The next prime is 144533000033. The reversal of 144533000000 is 335441.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 27 ways as a sum of consecutive naturals, for example, 18996197 + ... + 19003803.

Almost surely, 2144533000000 is an apocalyptic number.

144533000000 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 144533000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188711646960).

144533000000 is an abundant number, since it is smaller than the sum of its proper divisors (232890293920).

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

144533000000 is an frugal number, since it uses more digits than its factorization.

144533000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 144533000000 its reverse (335441), we get a palindrome (144533335441).

The spelling of 144533000000 in words is "one hundred forty-four billion, five hundred thirty-three million", and thus it is an aban number.