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144151300000 = 25557179257
BaseRepresentation
bin1000011001000000010…
…1100100011110100000
3111210002011002202210001
42012100011210132200
54330210213100000
6150115554345344
713262126555521
oct2062005443640
9453064082701
10144151300000
1156152718294
1223b2bb8b254
1310793949226
146d96ac8848
153b3a3d146a
hex21901647a0

144151300000 has 288 divisors, whose sum is σ = 365691594240. Its totient is φ = 55910400000.

The previous prime is 144151299983. The next prime is 144151300043. The reversal of 144151300000 is 3151441.

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 47 ways as a sum of consecutive naturals, for example, 560899872 + ... + 560900128.

It is an arithmetic number, because the mean of its divisors is an integer number (1269762480).

Almost surely, 2144151300000 is an apocalyptic number.

144151300000 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 144151300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182845797120).

144151300000 is an abundant number, since it is smaller than the sum of its proper divisors (221540294240).

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

144151300000 is an frugal number, since it uses more digits than its factorization.

144151300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 144151300000 its reverse (3151441), we get a palindrome (144154451441).

The spelling of 144151300000 in words is "one hundred forty-four billion, one hundred fifty-one million, three hundred thousand".