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144465140 = 2254124297
BaseRepresentation
bin10001001110001…
…01110011110100
3101001211120220202
420213011303310
5243440341030
622200220032
73402635111
oct1047056364
9331746822
10144465140
1174601886
124046a618
1323c11841
1415287908
15ca39745
hex89c5cf4

144465140 has 36 divisors (see below), whose sum is σ = 311029068. Its totient is φ = 56363520.

The previous prime is 144465137. The next prime is 144465157. The reversal of 144465140 is 41564441.

144465140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 48385936 + 96079204 = 6956^2 + 9802^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31472 + ... + 35768.

Almost surely, 2144465140 is an apocalyptic number.

144465140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144465140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155514534).

144465140 is an abundant number, since it is smaller than the sum of its proper divisors (166563928).

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

144465140 is a wasteful number, since it uses less digits than its factorization.

144465140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 144465140 is about 12019.3652078635. The cubic root of 144465140 is about 524.7120295255.

The spelling of 144465140 in words is "one hundred forty-four million, four hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1681 3362 4297 6724 8405 8594 16810 17188 21485 33620 42970 85940 176177 352354 704708 880885 1761770 3523540 7223257 14446514 28893028 36116285 72232570 144465140