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144841424 = 24713313209
BaseRepresentation
bin10001010001000…
…01101011010000
3101002112201002012
420220201223100
5244034411144
622212242052
73406063130
oct1050415320
9332481065
10144841424
1174839562
1240610328
1324013bb0
1415344ac0
15cab0e9e
hex8a21ad0

144841424 has 80 divisors (see below), whose sum is σ = 356643840. Its totient is φ = 55434240.

The previous prime is 144841423. The next prime is 144841439. The reversal of 144841424 is 424148441.

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 (144841423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43532 + ... + 46740.

It is an arithmetic number, because the mean of its divisors is an integer number (4458048).

Almost surely, 2144841424 is an apocalyptic number.

144841424 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 144841424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178321920).

144841424 is an abundant number, since it is smaller than the sum of its proper divisors (211802416).

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

144841424 is a wasteful number, since it uses less digits than its factorization.

144841424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3262 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 144841424 is about 12035.0082675501. The cubic root of 144841424 is about 525.1672017705.

Adding to 144841424 its reverse (424148441), we get a palindrome (568989865).

The spelling of 144841424 in words is "one hundred forty-four million, eight hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2821 3209 3224 3472 5642 6418 6448 11284 12836 22463 22568 25672 41717 44926 45136 51344 83434 89852 99479 166868 179704 198958 292019 333736 359408 397916 584038 667472 696353 795832 1168076 1293227 1392706 1591664 2336152 2586454 2785412 4672304 5172908 5570824 9052589 10345816 11141648 18105178 20691632 36210356 72420712 144841424