Search a number
-
+
144012375 = 32531343229
BaseRepresentation
bin10001001010101…
…11010001010111
3101000222120211200
420211113101113
5243331344000
622142403543
73366041103
oct1045272127
9330876750
10144012375
11743226a1
12402905b3
1323ab3730
14151aa903
15c99a500
hex8957457

144012375 has 96 divisors (see below), whose sum is σ = 287327040. Its totient is φ = 68947200.

The previous prime is 144012373. The next prime is 144012383. The reversal of 144012375 is 573210441.

144012375 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 144012375 - 21 = 144012373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144012373) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 628761 + ... + 628989.

It is an arithmetic number, because the mean of its divisors is an integer number (2992990).

Almost surely, 2144012375 is an apocalyptic number.

144012375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144012375 is a deficient number, since it is larger than the sum of its proper divisors (143314665).

144012375 is a wasteful number, since it uses less digits than its factorization.

144012375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 144012375 is about 12000.5156139226. The cubic root of 144012375 is about 524.1632930759.

The spelling of 144012375 in words is "one hundred forty-four million, twelve thousand, three hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 39 43 45 65 75 117 125 129 195 215 225 229 325 375 387 559 585 645 687 975 1075 1125 1145 1625 1677 1935 2061 2795 2925 2977 3225 3435 4875 5031 5375 5725 8385 8931 9675 9847 10305 13975 14625 14885 16125 17175 25155 26793 28625 29541 41925 44655 48375 49235 51525 69875 74425 85875 88623 125775 128011 133965 147705 209625 223275 246175 257625 372125 384033 443115 628875 640055 669825 738525 1116375 1152099 1230875 1920165 2215575 3200275 3349125 3692625 5760495 9600825 11077875 16001375 28802475 48004125 144012375