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144313440000 = 28354417333
BaseRepresentation
bin1000011001100111000…
…0000101011100000000
3111210111110012100001020
42012121300011130000
54331023220040000
6150144025505440
713266136000062
oct2063160053400
9453443170036
10144313440000
11562261a1494
1223b76342280
13107bb408a62
146db0453732
153b4975cba0
hex2199c05700

144313440000 has 360 divisors, whose sum is σ = 491724810192. Its totient is φ = 37539840000.

The previous prime is 144313439989. The next prime is 144313440017. The reversal of 144313440000 is 44313441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 19676334 + ... + 19683666.

Almost surely, 2144313440000 is an apocalyptic number.

144313440000 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 144313440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245862405096).

144313440000 is an abundant number, since it is smaller than the sum of its proper divisors (347411370192).

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

144313440000 is an frugal number, since it uses more digits than its factorization.

144313440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144313440000 its reverse (44313441), we get a palindrome (144357753441).

The spelling of 144313440000 in words is "one hundred forty-four billion, three hundred thirteen million, four hundred forty thousand".