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144529120 = 2557611187
BaseRepresentation
bin10001001110101…
…01011011100000
3101001221211200101
420213111123200
5243444412440
622201432144
73403322461
oct1047253340
9331854611
10144529120
117464595a
124049b654
1323c349b8
14152a2d68
15ca4d69a
hex89d56e0

144529120 has 48 divisors (see below), whose sum is σ = 342186768. Its totient is φ = 57687040.

The previous prime is 144529097. The next prime is 144529129. The reversal of 144529120 is 21925441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144529129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121167 + ... + 122353.

It is an arithmetic number, because the mean of its divisors is an integer number (7128891).

Almost surely, 2144529120 is an apocalyptic number.

144529120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144529120 is an abundant number, since it is smaller than the sum of its proper divisors (197657648).

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

144529120 is a wasteful number, since it uses less digits than its factorization.

144529120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 144529120 is about 12022.0264514765. The cubic root of 144529120 is about 524.7894787079.

The spelling of 144529120 in words is "one hundred forty-four million, five hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 761 1187 1522 2374 3044 3805 4748 5935 6088 7610 9496 11870 12176 15220 18992 23740 24352 30440 37984 47480 60880 94960 121760 189920 903307 1806614 3613228 4516535 7226456 9033070 14452912 18066140 28905824 36132280 72264560 144529120