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144204434313232 = 24214130491380653
BaseRepresentation
bin100000110010011100110110…
…000101010001000000010000
3200220120210211222011101020011
4200302130312011101000100
5122400121140141010412
61230410334053524304
742242266212216136
oct4062346605210020
9626523758141204
10144204434313232
1141a4783684a197
121420b951343694
13626055c413587
1427877635d9756
1511a114cd817a7
hex832736151010

144204434313232 has 40 divisors (see below), whose sum is σ = 279618470069400. Its totient is φ = 72044851307520.

The previous prime is 144204434313143. The next prime is 144204434313263. The reversal of 144204434313232 is 232313434402441.

It is a happy number.

144204434313232 is digitally balanced in base 3, 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 1937842180096 + 142266592133136 = 1392064^2 + 11927556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103756218 + ... + 105136870.

It is an arithmetic number, because the mean of its divisors is an integer number (6990461751735).

Almost surely, 2144204434313232 is an apocalyptic number.

It is an amenable number.

144204434313232 is a deficient number, since it is larger than the sum of its proper divisors (135414035756168).

144204434313232 is a wasteful number, since it uses less digits than its factorization.

144204434313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385851 (or 1385845 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 144204434313232 its reverse (232313434402441), we get a palindrome (376517868715673).

The spelling of 144204434313232 in words is "one hundred forty-four trillion, two hundred four billion, four hundred thirty-four million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 2141 3049 4282 6098 8564 12196 17128 24392 34256 48784 1380653 2761306 5522612 6527909 11045224 13055818 22090448 26111636 52223272 104446544 2955978073 4209610997 5911956146 8419221994 11823912292 16838443988 23647824584 33676887976 47295649168 67353775952 9012777144577 18025554289154 36051108578308 72102217156616 144204434313232