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144031095 = 33513259107
BaseRepresentation
bin10001001010110…
…11110101110111
3101001000112112000
420211123311313
5243332443340
622143030343
73366146505
oct1045336567
9331015460
10144031095
117433576a
124029b3b3
1323abc100
14151b3675
15c9a0d30
hex895bd77

144031095 has 96 divisors (see below), whose sum is σ = 284601600. Its totient is φ = 69054336.

The previous prime is 144031091. The next prime is 144031127. The reversal of 144031095 is 590130441.

It is not a de Polignac number, because 144031095 - 22 = 144031091 is a prime.

It is a super-3 number, since 3×1440310953 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144031091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1346032 + ... + 1346138.

It is an arithmetic number, because the mean of its divisors is an integer number (2964600).

Almost surely, 2144031095 is an apocalyptic number.

144031095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144031095 is a deficient number, since it is larger than the sum of its proper divisors (140570505).

144031095 is a wasteful number, since it uses less digits than its factorization.

144031095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 144031095 is about 12001.2955550640. The cubic root of 144031095 is about 524.1860038828.

The spelling of 144031095 in words is "one hundred forty-four million, thirty-one thousand, ninety-five".

Divisors: 1 3 5 9 13 15 27 39 45 59 65 107 117 135 169 177 195 295 321 351 507 531 535 585 767 845 885 963 1391 1521 1593 1605 1755 2301 2535 2655 2889 3835 4173 4563 4815 6313 6903 6955 7605 7965 9971 11505 12519 14445 18083 18939 20709 20865 22815 29913 31565 34515 37557 49855 54249 56817 62595 82069 89739 90415 94695 103545 149565 162747 170451 187785 246207 269217 271245 284085 410345 448695 488241 738621 813735 852255 1066897 1231035 1346085 2215863 2441205 3200691 3693105 5334485 9602073 11079315 16003455 28806219 48010365 144031095