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144388680 = 23352941491
BaseRepresentation
bin10001001101100…
…11001001001000
3101001200201000220
420212303021020
5243430414210
622154430040
73402166152
oct1046631110
9331621026
10144388680
117455a397
1240432320
1323bb5ab7
1415267ad2
15ca21c70
hex89b3248

144388680 has 64 divisors (see below), whose sum is σ = 448113600. Its totient is φ = 37175040.

The previous prime is 144388663. The next prime is 144388681. The reversal of 144388680 is 86883441.

It is not an unprimeable number, because it can be changed into a prime (144388681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17266 + ... + 24225.

It is an arithmetic number, because the mean of its divisors is an integer number (7001775).

Almost surely, 2144388680 is an apocalyptic number.

144388680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144388680 is an abundant number, since it is smaller than the sum of its proper divisors (303724920).

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

144388680 is a wasteful number, since it uses less digits than its factorization.

144388680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41534 (or 41530 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 144388680 is about 12016.1840864727. The cubic root of 144388680 is about 524.6194430330.

The spelling of 144388680 in words is "one hundred forty-four million, three hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 41491 82982 124473 165964 207455 248946 331928 414910 497892 622365 829820 995784 1203239 1244730 1659640 2406478 2489460 3609717 4812956 4978920 6016195 7219434 9625912 12032390 14438868 18048585 24064780 28877736 36097170 48129560 72194340 144388680