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144411300 = 2232521129503
BaseRepresentation
bin10001001101110…
…00101010100100
3101001201212001200
420212320222210
5243432130200
622155122500
73402322125
oct1046705244
9331655050
10144411300
1174575390
1240443430
1323bc3197
141527204c
15ca28800
hex89b8aa4

144411300 has 216 divisors, whose sum is σ = 511842240. Its totient is φ = 33734400.

The previous prime is 144411287. The next prime is 144411313. The reversal of 144411300 is 3114441.

It is an interprime number because it is at equal distance from previous prime (144411287) and next prime (144411313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286849 + ... + 287351.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2144411300 is an apocalyptic number.

144411300 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 144411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

144411300 is an abundant number, since it is smaller than the sum of its proper divisors (367430940).

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

144411300 is a wasteful number, since it uses less digits than its factorization.

144411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144411300 is about 12017.1252801991. The cubic root of 144411300 is about 524.6468373139.

Adding to 144411300 its reverse (3114441), we get a palindrome (147525741).

The spelling of 144411300 in words is "one hundred forty-four million, four hundred eleven thousand, three hundred".