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144144342 = 2324326171
BaseRepresentation
bin10001001011101…
…11011111010110
3101001020021212100
420211313133112
5243400104332
622145302530
73400130616
oct1045673726
9331207770
10144144342
1174402861
1240334a46
1323b2b814
1415202a46
15c9c467c
hex89777d6

144144342 has 72 divisors (see below), whose sum is σ = 329563728. Its totient is φ = 45511200.

The previous prime is 144144331. The next prime is 144144349. The reversal of 144144342 is 243441441.

It is a super-2 number, since 2×1441443422 = 41555182661225928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144144349) 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 35 ways as a sum of consecutive naturals, for example, 2030167 + ... + 2030237.

It is an arithmetic number, because the mean of its divisors is an integer number (4577274).

Almost surely, 2144144342 is an apocalyptic number.

144144342 is an abundant number, since it is smaller than the sum of its proper divisors (185419386).

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

144144342 is a wasteful number, since it uses less digits than its factorization.

144144342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 180 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 144144342 is about 12006.0127436214. The cubic root of 144144342 is about 524.3233514024.

Adding to 144144342 its reverse (243441441), we get a palindrome (387585783).

The spelling of 144144342 in words is "one hundred forty-four million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 43 61 71 86 122 129 142 183 213 258 366 387 426 549 639 774 1098 1278 1849 2623 3053 3698 4331 5246 5547 6106 7869 8662 9159 11094 12993 15738 16641 18318 23607 25986 27477 33282 38979 47214 54954 77958 112789 131279 186233 225578 262558 338367 372466 393837 558699 676734 787674 1015101 1117398 1181511 1676097 2030202 2363022 3352194 8008019 16016038 24024057 48048114 72072171 144144342