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144000396 = 22336172161
BaseRepresentation
bin10001001010101…
…00010110001100
3101000221222102000
420211110112030
5243331003041
622142232300
73365661141
oct1045242614
9330858360
10144000396
11743146a1
1240285690
1323aab147
14151a63c8
15c996bb6
hex895458c

144000396 has 48 divisors (see below), whose sum is σ = 374112480. Its totient is φ = 47900160.

The previous prime is 144000391. The next prime is 144000397. The reversal of 144000396 is 693000441.

It is a super-2 number, since 2×1440003962 = 41472228096313632, which contains 22 as substring.

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

144000396 is a modest number, since divided by 396 gives 144 as remainder.

It is not an unprimeable number, because it can be changed into a prime (144000391) 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 15 ways as a sum of consecutive naturals, for example, 65556 + ... + 67716.

It is an arithmetic number, because the mean of its divisors is an integer number (7794010).

Almost surely, 2144000396 is an apocalyptic number.

It is an amenable number.

144000396 is an abundant number, since it is smaller than the sum of its proper divisors (230112084).

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

144000396 is a wasteful number, since it uses less digits than its factorization.

144000396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 144000396 is about 12000.0164999887. The cubic root of 144000396 is about 524.1487593106.

The spelling of 144000396 in words is "one hundred forty-four million, three hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 617 1234 1851 2161 2468 3702 4322 5553 6483 7404 8644 11106 12966 16659 19449 22212 25932 33318 38898 58347 66636 77796 116694 233388 1333337 2666674 4000011 5333348 8000022 12000033 16000044 24000066 36000099 48000132 72000198 144000396