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144134320 = 24511163789
BaseRepresentation
bin10001001011101…
…01000010110000
3101001012210010011
420211311002300
5243344244240
622145144304
73400056451
oct1045650260
9331183104
10144134320
11743a6280
124032b094
1323b270a5
14151dd128
15c9c16ea
hex89750b0

144134320 has 40 divisors (see below), whose sum is σ = 365579280. Its totient is φ = 52412160.

The previous prime is 144134317. The next prime is 144134357. The reversal of 144134320 is 23431441.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 144134291 and 144134300.

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, 81015 + ... + 82774.

It is an arithmetic number, because the mean of its divisors is an integer number (9139482).

Almost surely, 2144134320 is an apocalyptic number.

144134320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144134320 is an abundant number, since it is smaller than the sum of its proper divisors (221444960).

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

144134320 is a wasteful number, since it uses less digits than its factorization.

144134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163813 (or 163807 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 144134320 is about 12005.5953621634. The cubic root of 144134320 is about 524.3111994849.

Adding to 144134320 its reverse (23431441), we get a palindrome (167565761).

The spelling of 144134320 in words is "one hundred forty-four million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 163789 327578 655156 818945 1310312 1637890 1801679 2620624 3275780 3603358 6551560 7206716 9008395 13103120 14413432 18016790 28826864 36033580 72067160 144134320