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144150640 = 24515111933
BaseRepresentation
bin10001001011110…
…01000001110000
3101001020121111121
420211321001300
5243400310030
622145352024
73400155154
oct1045710160
9331217447
10144150640
1174407567
1240338614
1323b3164a
1415205064
15c9c647a
hex8979070

144150640 has 40 divisors (see below), whose sum is σ = 337398048. Its totient is φ = 57273600.

The previous prime is 144150623. The next prime is 144150679. The reversal of 144150640 is 46051441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6114 + ... + 18046.

Almost surely, 2144150640 is an apocalyptic number.

144150640 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 144150640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168699024).

144150640 is an abundant number, since it is smaller than the sum of its proper divisors (193247408).

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

144150640 is a wasteful number, since it uses less digits than its factorization.

144150640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12097 (or 12091 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 144150640 is about 12006.2750260020. The cubic root of 144150640 is about 524.3309875915.

The spelling of 144150640 in words is "one hundred forty-four million, one hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 11933 12080 23866 47732 59665 95464 119330 190928 238660 477320 954640 1801883 3603766 7207532 9009415 14415064 18018830 28830128 36037660 72075320 144150640