Search a number
-
+
144144400302 = 23276359179903
BaseRepresentation
bin1000011000111110101…
…1001111111110101110
3111210001200010020011200
42012033223033332232
54330201431302202
6150115150430330
713262014121010
oct2061753177656
9453050106150
10144144400302
1156149835461
1223b298023a6
13107923a1876
146d95c101b0
153b399bbe1c
hex218facffae

144144400302 has 48 divisors (see below), whose sum is σ = 356987105280. Its totient is φ = 41177408976.

The previous prime is 144144400271. The next prime is 144144400331. The reversal of 144144400302 is 203004441441.

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, 711283 + ... + 891185.

It is an arithmetic number, because the mean of its divisors is an integer number (7437231360).

Almost surely, 2144144400302 is an apocalyptic number.

144144400302 is an abundant number, since it is smaller than the sum of its proper divisors (212842704978).

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

144144400302 is a wasteful number, since it uses less digits than its factorization.

144144400302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186277 (or 186274 counting only the distinct ones).

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

Adding to 144144400302 its reverse (203004441441), we get a palindrome (347148841743).

It can be divided in two parts, 144144 and 400302, that added together give a triangular number (544446 = T1043).

The spelling of 144144400302 in words is "one hundred forty-four billion, one hundred forty-four million, four hundred thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 6359 12718 19077 38154 44513 57231 89026 114462 133539 179903 267078 359806 400617 539709 801234 1079418 1259321 1619127 2518642 3238254 3777963 7555926 11333889 22667778 1144003177 2288006354 3432009531 6864019062 8008022239 10296028593 16016044478 20592057186 24024066717 48048133434 72072200151 144144400302