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144752664 = 23372831483
BaseRepresentation
bin10001010000011…
…00000000011000
3101002101012022210
420220030000120
5244024041124
622210315120
73405243300
oct1050140030
9332335283
10144752664
1174788901
1240588aa0
1323cb2684
1415320600
15ca94a29
hex8a0c018

144752664 has 96 divisors (see below), whose sum is σ = 426323520. Its totient is φ = 40832064.

The previous prime is 144752651. The next prime is 144752669. The reversal of 144752664 is 466257441.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144752669) 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 23 ways as a sum of consecutive naturals, for example, 96867 + ... + 98349.

It is an arithmetic number, because the mean of its divisors is an integer number (4440870).

Almost surely, 2144752664 is an apocalyptic number.

144752664 is a gapful number since it is divisible by the number (14) 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 144752664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213161760).

144752664 is an abundant number, since it is smaller than the sum of its proper divisors (281570856).

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

144752664 is a wasteful number, since it uses less digits than its factorization.

144752664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1578 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 144752664 is about 12031.3201270684. The cubic root of 144752664 is about 525.0599042756.

The spelling of 144752664 in words is "one hundred forty-four million, seven hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 83 84 98 147 166 168 196 249 294 332 392 498 581 588 664 996 1162 1176 1483 1743 1992 2324 2966 3486 4067 4449 4648 5932 6972 8134 8898 10381 11864 12201 13944 16268 17796 20762 24402 31143 32536 35592 41524 48804 62286 72667 83048 97608 123089 124572 145334 218001 246178 249144 290668 369267 436002 492356 581336 738534 861623 872004 984712 1477068 1723246 1744008 2584869 2954136 3446492 5169738 6031361 6892984 10339476 12062722 18094083 20678952 24125444 36188166 48250888 72376332 144752664