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1344242144 = 25719133137
BaseRepresentation
bin101000000011111…
…1000000111100000
310110200102120120002
41100013320013200
510223111222034
6341215435132
745211604210
oct12007700740
93420376502
101344242144
1162a876023
12316225aa8
1318565866b
14ca75a240
157d02de7e
hex501f81e0

1344242144 has 48 divisors (see below), whose sum is σ = 3027090528. Its totient is φ = 575619072.

The previous prime is 1344242111. The next prime is 1344242149. The reversal of 1344242144 is 4412424431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344242149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426944 + ... + 430080.

It is an arithmetic number, because the mean of its divisors is an integer number (63064386).

Almost surely, 21344242144 is an apocalyptic number.

1344242144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1344242144 is an abundant number, since it is smaller than the sum of its proper divisors (1682848384).

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

1344242144 is a wasteful number, since it uses less digits than its factorization.

1344242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5059 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 1344242144 is about 36663.9079204604. The cubic root of 1344242144 is about 1103.6359420623.

Adding to 1344242144 its reverse (4412424431), we get a palindrome (5756666575).

The spelling of 1344242144 in words is "one billion, three hundred forty-four million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1913 3137 3826 6274 7652 12548 13391 15304 21959 25096 26782 30608 43918 50192 53564 61216 87836 100384 107128 175672 214256 351344 428512 702688 6001081 12002162 24004324 42007567 48008648 84015134 96017296 168030268 192034592 336060536 672121072 1344242144