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144721728 = 263427917
BaseRepresentation
bin10001010000001…
…00011101000000
3101002022121220000
420220010131000
5244022043403
622205520000
73405054144
oct1050043500
9332277800
10144721728
1174767638
1240573000
1323ca1578
1415313224
15ca8a7a3
hex8a04740

144721728 has 70 divisors (see below), whose sum is σ = 429015906. Its totient is φ = 48238848.

The previous prime is 144721721. The next prime is 144721729. The reversal of 144721728 is 827127441.

144721728 is a `hidden beast` number, since 14 + 472 + 172 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 142850304 + 1871424 = 11952^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144721692 and 144721701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144721721) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8775 + ... + 19142.

Almost surely, 2144721728 is an apocalyptic number.

144721728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144721728 is an abundant number, since it is smaller than the sum of its proper divisors (284294178).

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

144721728 is an equidigital number, since it uses as much as digits as its factorization.

144721728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27941 (or 27922 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 144721728 is about 12030.0344139159. The cubic root of 144721728 is about 525.0224969951.

The spelling of 144721728 in words is "one hundred forty-four million, seven hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 27917 55834 83751 111668 167502 223336 251253 335004 446672 502506 670008 753759 893344 1005012 1340016 1507518 1786688 2010024 2261277 2680032 3015036 4020048 4522554 5360064 6030072 8040096 9045108 12060144 16080192 18090216 24120288 36180432 48240576 72360864 144721728