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144135440 = 2454014493
BaseRepresentation
bin10001001011101…
…01010100010000
3101001012211122122
420211311110100
5243344313230
622145153412
73400062641
oct1045652420
9331184578
10144135440
11743a70a9
124032b868
1323b27757
14151dd6c8
15c9c1be5
hex8975510

144135440 has 40 divisors (see below), whose sum is σ = 336025368. Its totient is φ = 57497600.

The previous prime is 144135437. The next prime is 144135473. The reversal of 144135440 is 44531441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 105596176 + 38539264 = 10276^2 + 6208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29834 + ... + 34326.

Almost surely, 2144135440 is an apocalyptic number.

144135440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144135440 is an abundant number, since it is smaller than the sum of its proper divisors (191889928).

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

144135440 is a wasteful number, since it uses less digits than its factorization.

144135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 144135440 is about 12005.6420069899. The cubic root of 144135440 is about 524.3125575400.

Adding to 144135440 its reverse (44531441), we get a palindrome (188666881).

The spelling of 144135440 in words is "one hundred forty-four million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 401 802 1604 2005 3208 4010 4493 6416 8020 8986 16040 17972 22465 32080 35944 44930 71888 89860 179720 359440 1801693 3603386 7206772 9008465 14413544 18016930 28827088 36033860 72067720 144135440