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144544460 = 22567269401
BaseRepresentation
bin10001001110110…
…01001011001100
3101001222121201112
420213121023030
5244000410320
622202031152
73403415264
oct1047311314
9331877645
10144544460
1174656435
12404a84b8
1323c3b988
14152a87a4
15ca52ec5
hex89d92cc

144544460 has 48 divisors (see below), whose sum is σ = 309990240. Its totient is φ = 56601600.

The previous prime is 144544447. The next prime is 144544501. The reversal of 144544460 is 64445441.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 360260 + ... + 360660.

It is an arithmetic number, because the mean of its divisors is an integer number (6458130).

Almost surely, 2144544460 is an apocalyptic number.

144544460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144544460 is an abundant number, since it is smaller than the sum of its proper divisors (165445780).

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

144544460 is a wasteful number, since it uses less digits than its factorization.

144544460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 144544460 is about 12022.6644301502. The cubic root of 144544460 is about 524.8080447145.

The spelling of 144544460 in words is "one hundred forty-four million, five hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 67 134 268 269 335 401 538 670 802 1076 1340 1345 1604 2005 2690 4010 5380 8020 18023 26867 36046 53734 72092 90115 107468 107869 134335 180230 215738 268670 360460 431476 537340 539345 1078690 2157380 7227223 14454446 28908892 36136115 72272230 144544460