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144140320404 = 223229159786453
BaseRepresentation
bin1000011000111101101…
…1101011111010010100
3111210001101102221121100
42012033123223322110
54330144410223104
6150114523150100
713261634336163
oct2061733537224
9453041387540
10144140320404
11561474a9143
1223b28375330
13107915a3822
146d9546b3da
153b39463139
hex218f6ebe94

144140320404 has 72 divisors (see below), whose sum is σ = 377159033160. Its totient is φ = 46360403712.

The previous prime is 144140320403. The next prime is 144140320459. The reversal of 144140320404 is 404023041441.

144140320404 is a `hidden beast` number, since 14 + 41 + 403 + 204 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 156500100 + 143983820304 = 12510^2 + 379452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144140320403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1624042 + ... + 1710494.

It is an arithmetic number, because the mean of its divisors is an integer number (5238319905).

Almost surely, 2144140320404 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 144140320404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188579516580).

144140320404 is an abundant number, since it is smaller than the sum of its proper divisors (233018712756).

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

144140320404 is a wasteful number, since it uses less digits than its factorization.

144140320404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88089 (or 88084 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144140320404 its reverse (404023041441), we get a palindrome (548163361845).

The spelling of 144140320404 in words is "one hundred forty-four billion, one hundred forty million, three hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1597 3194 4791 6388 9582 14373 19164 28746 46313 57492 86453 92626 138939 172906 185252 259359 277878 345812 416817 518718 555756 778077 833634 1037436 1556154 1667268 2507137 3112308 5014274 7521411 10028548 15042822 22564233 30085644 45128466 90256932 138065441 276130882 414196323 552261764 828392646 1242588969 1656785292 2485177938 4003897789 4970355876 8007795578 12011693367 16015591156 24023386734 36035080101 48046773468 72070160202 144140320404