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144352204000 = 2553434192003
BaseRepresentation
bin1000011001110000001…
…1111101010011100000
3111210121011010202020221
42012130003331103200
54331113131012000
6150151532412424
713300116326464
oct2063403752340
9453534122227
10144352204000
1156246068454
1223b87317114
13107c645bb34
146db56644a4
153b4cd6861a
hex219c0fd4e0

144352204000 has 192 divisors, whose sum is σ = 363969365760. Its totient is φ = 56235379200.

The previous prime is 144352203973. The next prime is 144352204013. The reversal of 144352204000 is 402253441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 72066999 + ... + 72069001.

It is an arithmetic number, because the mean of its divisors is an integer number (1895673780).

Almost surely, 2144352204000 is an apocalyptic number.

144352204000 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 144352204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181984682880).

144352204000 is an abundant number, since it is smaller than the sum of its proper divisors (219617161760).

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

144352204000 is a wasteful number, since it uses less digits than its factorization.

144352204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 144352204000 its reverse (402253441), we get a palindrome (144754457441).

The spelling of 144352204000 in words is "one hundred forty-four billion, three hundred fifty-two million, two hundred four thousand".