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144316029 = 311132113229
BaseRepresentation
bin10001001101000…
…01011001111101
3101001120000101010
420212201121331
5243421103104
622153105433
73401444304
oct1046413175
9331500333
10144316029
117450a850
12403b8279
1323b8ba00
141524943b
15ca0a489
hex89a167d

144316029 has 48 divisors (see below), whose sum is σ = 230316480. Its totient is φ = 79672320.

The previous prime is 144315989. The next prime is 144316031. The reversal of 144316029 is 920613441.

144316029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144316029 - 212 = 144311933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144315987 and 144316005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144316429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630087 + ... + 630315.

It is an arithmetic number, because the mean of its divisors is an integer number (4798260).

Almost surely, 2144316029 is an apocalyptic number.

It is an amenable number.

144316029 is a deficient number, since it is larger than the sum of its proper divisors (86000451).

144316029 is a wasteful number, since it uses less digits than its factorization.

144316029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 144316029 is about 12013.1606582115. The cubic root of 144316029 is about 524.5314386237.

The spelling of 144316029 in words is "one hundred forty-four million, three hundred sixteen thousand, twenty-nine".

Divisors: 1 3 11 13 33 39 113 143 169 229 339 429 507 687 1243 1469 1859 2519 2977 3729 4407 5577 7557 8931 16159 19097 25877 32747 38701 48477 57291 77631 98241 116103 210067 284647 336401 425711 630201 853941 1009203 1277133 3700411 4373213 11101233 13119639 48105343 144316029