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144031500 = 22335347227
BaseRepresentation
bin10001001010110…
…11111100001100
3101001000120002000
420211123330030
5243333002000
622143032300
73366150624
oct1045337414
9331016060
10144031500
1174335aa8
124029b690
1323abc352
14151b3884
15c9a1000
hex895bf0c

144031500 has 192 divisors, whose sum is σ = 478033920. Its totient is φ = 37425600.

The previous prime is 144031499. The next prime is 144031507. The reversal of 144031500 is 5130441.

It is a happy number.

144031500 is digitally balanced in base 2, 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 (18).

It is not an unprimeable number, because it can be changed into a prime (144031507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 634387 + ... + 634613.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2144031500 is an apocalyptic number.

144031500 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 144031500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239016960).

144031500 is an abundant number, since it is smaller than the sum of its proper divisors (334002420).

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

144031500 is a wasteful number, since it uses less digits than its factorization.

144031500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 144031500 is about 12001.3124282305. The cubic root of 144031500 is about 524.1864952006.

Adding to 144031500 its reverse (5130441), we get a palindrome (149161941).

The spelling of 144031500 in words is "one hundred forty-four million, thirty-one thousand, five hundred".