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144718848 = 2103241383
BaseRepresentation
bin10001010000000…
…11110000000000
3101002022110221100
420220003300000
5244022000343
622205454400
73405042561
oct1050036000
9332273840
10144718848
117476545a
1240571400
1323ca0171
1415312168
15ca899d3
hex8a03c00

144718848 has 132 divisors (see below), whose sum is σ = 429182208. Its totient is φ = 46940160.

The previous prime is 144718843. The next prime is 144718897. The reversal of 144718848 is 848817441.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144718843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377665 + ... + 378047.

Almost surely, 2144718848 is an apocalyptic number.

144718848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214591104).

144718848 is an abundant number, since it is smaller than the sum of its proper divisors (284463360).

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

144718848 is a wasteful number, since it uses less digits than its factorization.

144718848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 429 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 144718848 is about 12029.9147129146. The cubic root of 144718848 is about 525.0190142773.

The spelling of 144718848 in words is "one hundred forty-four million, seven hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 383 384 492 512 576 656 738 766 768 984 1024 1149 1152 1312 1476 1532 1536 1968 2298 2304 2624 2952 3064 3072 3447 3936 4596 4608 5248 5904 6128 6894 7872 9192 9216 10496 11808 12256 13788 15703 15744 18384 20992 23616 24512 27576 31406 31488 36768 41984 47109 47232 49024 55152 62812 62976 73536 94218 94464 98048 110304 125624 125952 141327 147072 188436 188928 196096 220608 251248 282654 294144 376872 377856 392192 441216 502496 565308 588288 753744 882432 1004992 1130616 1176576 1507488 1764864 2009984 2261232 3014976 3529728 4019968 4522464 6029952 8039936 9044928 12059904 16079872 18089856 24119808 36179712 48239616 72359424 144718848