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144013744 = 2472183691
BaseRepresentation
bin10001001010101…
…11100110110000
3101000222122201101
420211113212300
5243331414434
622142414144
73366045100
oct1045274660
9330878641
10144013744
1174323726
1240291354
1323ab4244
14151ab200
15c99ab14
hex89579b0

144013744 has 30 divisors (see below), whose sum is σ = 324583764. Its totient is φ = 61719840.

The previous prime is 144013729. The next prime is 144013769. The reversal of 144013744 is 447310441.

144013744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91062 + ... + 92629.

Almost surely, 2144013744 is an apocalyptic number.

144013744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144013744 is an abundant number, since it is smaller than the sum of its proper divisors (180570020).

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

144013744 is a wasteful number, since it uses less digits than its factorization.

144013744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183713 (or 183700 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 144013744 is about 12000.5726530029. The cubic root of 144013744 is about 524.1649539917.

It can be divided in two parts, 14401 and 3744, that added together give a triangular number (18145 = T190).

The spelling of 144013744 in words is "one hundred forty-four million, thirteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 183691 367382 734764 1285837 1469528 2571674 2939056 5143348 9000859 10286696 18001718 20573392 36003436 72006872 144013744