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144322104 = 233431091283
BaseRepresentation
bin10001001101000…
…10111000111000
3101001120022201010
420212202320320
5243421301404
622153153520
73401501103
oct1046427070
9331508633
10144322104
1174514373
12403bb8a0
1323b916c4
141524b73a
15ca0c189
hex89a2e38

144322104 has 64 divisors (see below), whose sum is σ = 372873600. Its totient is φ = 46521216.

The previous prime is 144322099. The next prime is 144322153. The reversal of 144322104 is 401223441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111847 + ... + 113129.

It is an arithmetic number, because the mean of its divisors is an integer number (5826150).

Almost surely, 2144322104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144322104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186436800).

144322104 is an abundant number, since it is smaller than the sum of its proper divisors (228551496).

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

144322104 is a wasteful number, since it uses less digits than its factorization.

144322104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144322104 is about 12013.4135032471. The cubic root of 144322104 is about 524.5387985911.

Adding to 144322104 its reverse (401223441), we get a palindrome (545545545).

The spelling of 144322104 in words is "one hundred forty-four million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 86 109 129 172 218 258 327 344 436 516 654 872 1032 1283 1308 2566 2616 3849 4687 5132 7698 9374 10264 14061 15396 18748 28122 30792 37496 55169 56244 110338 112488 139847 165507 220676 279694 331014 419541 441352 559388 662028 839082 1118776 1324056 1678164 3356328 6013421 12026842 18040263 24053684 36080526 48107368 72161052 144322104