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144641480 = 23523157219
BaseRepresentation
bin10001001111100…
…00110111001000
3101002011112210212
420213300313020
5244012011410
622204100252
73404301164
oct1047606710
9332145725
10144641480
1174712315
1240534688
1323c73b99
14152d1ca4
15ca71b05
hex89f0dc8

144641480 has 32 divisors (see below), whose sum is σ = 339595200. Its totient is φ = 55340736.

The previous prime is 144641479. The next prime is 144641489. The reversal of 144641480 is 84146441.

It is not an unprimeable number, because it can be changed into a prime (144641489) 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, 77690 + ... + 79529.

It is an arithmetic number, because the mean of its divisors is an integer number (10612350).

Almost surely, 2144641480 is an apocalyptic number.

144641480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144641480 is an abundant number, since it is smaller than the sum of its proper divisors (194953720).

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

144641480 is a wasteful number, since it uses less digits than its factorization.

144641480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157253 (or 157249 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 144641480 is about 12026.6986326257. The cubic root of 144641480 is about 524.9254376346.

The spelling of 144641480 in words is "one hundred forty-four million, six hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 157219 314438 628876 786095 1257752 1572190 3144380 3616037 6288760 7232074 14464148 18080185 28928296 36160370 72320740 144641480