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144124288 = 2772112089
BaseRepresentation
bin10001001011100…
…10100110000000
3101001012021100121
420211302212000
5243343434123
622145030024
73400015300
oct1045624600
9331167317
10144124288
1174399790
1240325314
1323b22659
14151d9600
15c9bd75d
hex8972980

144124288 has 96 divisors (see below), whose sum is σ = 364537800. Its totient is φ = 56125440.

The previous prime is 144124219. The next prime is 144124289. The reversal of 144124288 is 882421441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144124289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67948 + ... + 70036.

Almost surely, 2144124288 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 144124288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182268900).

144124288 is an abundant number, since it is smaller than the sum of its proper divisors (220413512).

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

144124288 is a wasteful number, since it uses less digits than its factorization.

144124288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2109 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 144124288 is about 12005.1775497075. The cubic root of 144124288 is about 524.2990348781.

The spelling of 144124288 in words is "one hundred forty-four million, one hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 448 539 616 704 784 896 1078 1232 1408 1568 2089 2156 2464 3136 4178 4312 4928 6272 8356 8624 9856 14623 16712 17248 22979 29246 33424 34496 45958 58492 66848 68992 91916 102361 116984 133696 160853 183832 204722 233968 267392 321706 367664 409444 467936 643412 735328 818888 935872 1125971 1286824 1470656 1637776 1871744 2251942 2573648 2941312 3275552 4503884 5147296 6551104 9007768 10294592 13102208 18015536 20589184 36031072 72062144 144124288