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144145340032 = 271634968881
BaseRepresentation
bin1000011000111110111…
…0110101011010000000
3111210001201212222020111
42012033232311122000
54330202201340112
6150115222521104
713262025113521
oct2061756653200
9453051788214
10144145340032
115614a3174a1
1223b29b96194
1310792640515
146d95db6848
153b39b055a7
hex218fbb5680

144145340032 has 32 divisors (see below), whose sum is σ = 287186278500. Its totient is φ = 72067215360.

The previous prime is 144145339981. The next prime is 144145340057. The reversal of 144145340032 is 230043541441.

It can be written as a sum of positive squares in 2 ways, for example, as 104804997696 + 39340342336 = 323736^2 + 198344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1441453400322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144145339976 and 144145340003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2058232 + ... + 2127112.

Almost surely, 2144145340032 is an apocalyptic number.

It is an amenable number.

144145340032 is a deficient number, since it is larger than the sum of its proper divisors (143040938468).

144145340032 is an equidigital number, since it uses as much as digits as its factorization.

144145340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85244 (or 85232 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 144145340032 its reverse (230043541441), we get a palindrome (374188881473).

The spelling of 144145340032 in words is "one hundred forty-four billion, one hundred forty-five million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 16349 32698 65396 68881 130792 137762 261584 275524 523168 551048 1046336 1102096 2092672 2204192 4408384 8816768 1126135469 2252270938 4504541876 9009083752 18018167504 36036335008 72072670016 144145340032