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1344040144 = 242353137503
BaseRepresentation
bin101000000011100…
…0110110011010000
310110200001022110121
41100013012303100
510223033241034
6341211240024
745210103246
oct12007066320
93420038417
101344040144
1162a748287
12316149014
131855b7735
14ca706796
157cede1b4
hex501c6cd0

1344040144 has 80 divisors (see below), whose sum is σ = 2794321152. Its totient is φ = 624825344.

The previous prime is 1344040129. The next prime is 1344040151. The reversal of 1344040144 is 4410404431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2671797 + ... + 2672299.

Almost surely, 21344040144 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 1344040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397160576).

1344040144 is an abundant number, since it is smaller than the sum of its proper divisors (1450281008).

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

1344040144 is a wasteful number, since it uses less digits than its factorization.

1344040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1344040144 is about 36661.1530642450. The cubic root of 1344040144 is about 1103.5806579681.

Adding to 1344040144 its reverse (4410404431), we get a palindrome (5754444575).

The spelling of 1344040144 in words is "one billion, three hundred forty-four million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 53 92 106 137 184 212 274 368 424 503 548 848 1006 1096 1219 2012 2192 2438 3151 4024 4876 6302 7261 8048 9752 11569 12604 14522 19504 23138 25208 26659 29044 46276 50416 53318 58088 68911 92552 106636 116176 137822 167003 185104 213272 275644 334006 426544 551288 613157 668012 1102576 1226314 1336024 1584953 2452628 2672048 3169906 3652283 4905256 6339812 7304566 9810512 12679624 14609132 25359248 29218264 58436528 84002509 168005018 336010036 672020072 1344040144