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144431500000 = 25561511913
BaseRepresentation
bin1000011010000011001…
…0011100101011100000
3111210210200100101220211
42012200302130223200
54331243431000000
6150203444143504
713302101331244
oct2064062345340
9453720311824
10144431500000
11562868a8737
1223ba9997b94
1310809a03948
146dc1dc6424
153b54ccd7ba
hex21a0c9cae0

144431500000 has 168 divisors, whose sum is σ = 357973230384. Its totient is φ = 57360000000.

The previous prime is 144431499983. The next prime is 144431500001. The reversal of 144431500000 is 5134441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144431500001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75499044 + ... + 75500956.

It is an arithmetic number, because the mean of its divisors is an integer number (2130793038).

Almost surely, 2144431500000 is an apocalyptic number.

144431500000 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 144431500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178986615192).

144431500000 is an abundant number, since it is smaller than the sum of its proper divisors (213541730384).

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

144431500000 is an frugal number, since it uses more digits than its factorization.

144431500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 144431500000 its reverse (5134441), we get a palindrome (144436634441).

The spelling of 144431500000 in words is "one hundred forty-four billion, four hundred thirty-one million, five hundred thousand".