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144225042 = 231317234729
BaseRepresentation
bin10001001100010…
…11001100010010
3101001101101120020
420212023030102
5243410200132
622151124310
73400615113
oct1046131422
9331341506
10144225042
1174458455
1240373696
1323b59480
141522420a
15c9dd52c
hex898b312

144225042 has 64 divisors (see below), whose sum is σ = 343284480. Its totient is φ = 39942144.

The previous prime is 144225017. The next prime is 144225043. The reversal of 144225042 is 240522441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144225043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28134 + ... + 32862.

It is an arithmetic number, because the mean of its divisors is an integer number (5363820).

Almost surely, 2144225042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144225042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171642240).

144225042 is an abundant number, since it is smaller than the sum of its proper divisors (199059438).

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

144225042 is a wasteful number, since it uses less digits than its factorization.

144225042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787.

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 144225042 is about 12009.3730893831. The cubic root of 144225042 is about 524.4211815818.

Adding to 144225042 its reverse (240522441), we get a palindrome (384747483).

The spelling of 144225042 in words is "one hundred forty-four million, two hundred twenty-five thousand, forty-two".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 102 138 221 299 391 442 598 663 782 897 1173 1326 1794 2346 4729 5083 9458 10166 14187 15249 28374 30498 61477 80393 108767 122954 160786 184431 217534 241179 326301 368862 482358 652602 1045109 1413971 1849039 2090218 2827942 3135327 3698078 4241913 5547117 6270654 8483826 11094234 24037507 48075014 72112521 144225042