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144138288 = 24374110463
BaseRepresentation
bin10001001011101…
…10000000110000
3101001012222120010
420211312000300
5243344411123
622145214520
73400104150
oct1045660060
9331188503
10144138288
11743a9258
1240331440
1323b28b38
1415200760
15c9c2993
hex8976030

144138288 has 80 divisors (see below), whose sum is σ = 435972096. Its totient is φ = 40174080.

The previous prime is 144138233. The next prime is 144138299. The reversal of 144138288 is 882831441.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8545 + ... + 19007.

Almost surely, 2144138288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144138288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217986048).

144138288 is an abundant number, since it is smaller than the sum of its proper divisors (291833808).

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

144138288 is a wasteful number, since it uses less digits than its factorization.

144138288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10516 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 144138288 is about 12005.7606173037. The cubic root of 144138288 is about 524.3160108483.

The spelling of 144138288 in words is "one hundred forty-four million, one hundred thirty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 10463 13776 20926 31389 41852 62778 73241 83704 125556 146482 167408 219723 251112 292964 428983 439446 502224 585928 857966 878892 1171856 1286949 1715932 1757784 2573898 3002881 3431864 3515568 5147796 6005762 6863728 9008643 10295592 12011524 18017286 20591184 24023048 36034572 48046096 72069144 144138288