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144163800 = 23345211809
BaseRepresentation
bin10001001011111…
…00001111011000
3101001021021120000
420211330033120
5243401220200
622145533000
73400241424
oct1045741730
9331237500
10144163800
1174416440
1240344160
1323b37631
1415209b84
15c9ca300
hex897c3d8

144163800 has 240 divisors, whose sum is σ = 546895800. Its totient is φ = 34905600.

The previous prime is 144163787. The next prime is 144163813. The reversal of 144163800 is 8361441.

144163800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144163787) and next prime (144163813).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 177796 + ... + 178604.

Almost surely, 2144163800 is an apocalyptic number.

144163800 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 144163800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273447900).

144163800 is an abundant number, since it is smaller than the sum of its proper divisors (402732000).

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

144163800 is a wasteful number, since it uses less digits than its factorization.

144163800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144163800 is about 12006.8230602437. The cubic root of 144163800 is about 524.3469430897.

The spelling of 144163800 in words is "one hundred forty-four million, one hundred sixty-three thousand, eight hundred".