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144120433000 = 2353144120433
BaseRepresentation
bin1000011000111000111…
…1110100100101101000
3111210000000000120012211
42012032033310211220
54330124312324000
6150112533014504
713261303316335
oct2061617644550
9453000016184
10144120433000
1156137255475
1223b21784434
131078a42c72b
146d9297198c
153b378357ba
hex218e3f4968

144120433000 has 32 divisors (see below), whose sum is σ = 337241815560. Its totient is φ = 57648172800.

The previous prime is 144120432971. The next prime is 144120433003. The reversal of 144120433000 is 334021441.

It can be written as a sum of positive squares in 4 ways, for example, as 84370497156 + 59749935844 = 290466^2 + 244438^2 .

It is not an unprimeable number, because it can be changed into a prime (144120433003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72059217 + ... + 72061216.

Almost surely, 2144120433000 is an apocalyptic number.

144120433000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144120433000 is an abundant number, since it is smaller than the sum of its proper divisors (193121382560).

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

144120433000 is a wasteful number, since it uses less digits than its factorization.

144120433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144120454 (or 144120440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 144120433000 its reverse (334021441), we get a palindrome (144454454441).

The spelling of 144120433000 in words is "one hundred forty-four billion, one hundred twenty million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 144120433 288240866 576481732 720602165 1152963464 1441204330 2882408660 3603010825 5764817320 7206021650 14412043300 18015054125 28824086600 36030108250 72060216500 144120433000