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144320500 = 2253319311
BaseRepresentation
bin10001001101000…
…10011111110100
3101001120020111201
420212202133310
5243421224000
622153142244
73401463322
oct1046423764
9331506451
10144320500
1174513145
12403ba984
1323b90a5c
141524ad12
15ca0b96a
hex89a27f4

144320500 has 48 divisors (see below), whose sum is σ = 325398528. Its totient is φ = 55860000.

The previous prime is 144320459. The next prime is 144320521. The reversal of 144320500 is 5023441.

144320500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10845 + ... + 20155.

It is an arithmetic number, because the mean of its divisors is an integer number (6779136).

Almost surely, 2144320500 is an apocalyptic number.

144320500 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 144320500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162699264).

144320500 is an abundant number, since it is smaller than the sum of its proper divisors (181078028).

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

144320500 is a wasteful number, since it uses less digits than its factorization.

144320500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9361 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 144320500 is about 12013.3467443506. The cubic root of 144320500 is about 524.5368553375.

Adding to 144320500 its reverse (5023441), we get a palindrome (149343941).

The spelling of 144320500 in words is "one hundred forty-four million, three hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 250 310 500 620 775 1550 3100 3875 7750 9311 15500 18622 37244 46555 93110 186220 232775 288641 465550 577282 931100 1154564 1163875 1443205 2327750 2886410 4655500 5772820 7216025 14432050 28864100 36080125 72160250 144320500