Search a number
-
+
144997812 = 223241193509
BaseRepresentation
bin10001010010001…
…11110110110100
3101002211122121100
420221013312310
5244104412222
622215450100
73410314101
oct1051076664
9332748540
10144997812
1174936003
1240686930
132406a12b
1415385aa8
15cae24ac
hex8a47db4

144997812 has 72 divisors (see below), whose sum is σ = 378148680. Its totient is φ = 46817280.

The previous prime is 144997807. The next prime is 144997843. The reversal of 144997812 is 218799441.

It is a happy number.

144997812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3006756 + 141991056 = 1734^2 + 11916^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284614 + ... + 285122.

It is an arithmetic number, because the mean of its divisors is an integer number (5252065).

Almost surely, 2144997812 is an apocalyptic number.

144997812 is a gapful number since it is divisible by the number (12) 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 144997812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189074340).

144997812 is an abundant number, since it is smaller than the sum of its proper divisors (233150868).

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

144997812 is a wasteful number, since it uses less digits than its factorization.

144997812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 748 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 144997812 is about 12041.5037266946. The cubic root of 144997812 is about 525.3561447417.

The spelling of 144997812 in words is "one hundred forty-four million, nine hundred ninety-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 193 246 369 386 492 509 579 738 772 1018 1158 1476 1527 1737 2036 2316 3054 3474 4581 6108 6948 7913 9162 15826 18324 20869 23739 31652 41738 47478 62607 71217 83476 94956 98237 125214 142434 187821 196474 250428 284868 294711 375642 392948 589422 751284 884133 1178844 1768266 3536532 4027717 8055434 12083151 16110868 24166302 36249453 48332604 72498906 144997812