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144349101 = 3313411251
BaseRepresentation
bin10001001101010…
…01011110101101
3101001121200202000
420212221132231
5243423132401
622153522513
73401642601
oct1046513655
9331550660
10144349101
1174532686
1240413439
1323ba0a90
1415257501
15ca15186
hex89a97ad

144349101 has 16 divisors (see below), whose sum is σ = 230301120. Its totient is φ = 88830000.

The previous prime is 144349063. The next prime is 144349103. The reversal of 144349101 is 101943441.

It is not a de Polignac number, because 144349101 - 27 = 144348973 is a prime.

It is a super-4 number, since 4×1443491014 (a number of 34 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144349103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205275 + ... + 205976.

It is an arithmetic number, because the mean of its divisors is an integer number (14393820).

Almost surely, 2144349101 is an apocalyptic number.

It is an amenable number.

144349101 is a deficient number, since it is larger than the sum of its proper divisors (85952019).

144349101 is a wasteful number, since it uses less digits than its factorization.

144349101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411273 (or 411267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 144349101 is about 12014.5370697335. The cubic root of 144349101 is about 524.5715034243.

The spelling of 144349101 in words is "one hundred forty-four million, three hundred forty-nine thousand, one hundred one".

Divisors: 1 3 9 13 27 39 117 351 411251 1233753 3701259 5346263 11103777 16038789 48116367 144349101