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144913440 = 25357174359
BaseRepresentation
bin10001010001100…
…11010000100000
3101002200100212110
420220303100200
5244044212230
622213555320
73406513110
oct1050632040
9332610773
10144913440
1174888681
1240645b40
132403a8c9
1415363040
15cac74b0
hex8a33420

144913440 has 384 divisors, whose sum is σ = 574801920. Its totient is φ = 29933568.

The previous prime is 144913427. The next prime is 144913451. The reversal of 144913440 is 44319441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144913398 and 144913407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2456131 + ... + 2456189.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 2144913440 is an apocalyptic number.

144913440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

144913440 is an abundant number, since it is smaller than the sum of its proper divisors (429888480).

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

144913440 is a wasteful number, since it uses less digits than its factorization.

144913440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 144913440 is about 12037.9998338594. Note that the first 3 decimals coincide. The cubic root of 144913440 is about 525.2542260800.

The spelling of 144913440 in words is "one hundred forty-four million, nine hundred thirteen thousand, four hundred forty".