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144195400 = 23521993623
BaseRepresentation
bin10001001100000…
…11111101001000
3101001022212220101
420212003331020
5243403223100
622150335144
73400432516
oct1046037510
9331285811
10144195400
1174438158
124035a4b4
1323b48b2b
14152174b6
15c9d486a
hex8983f48

144195400 has 48 divisors (see below), whose sum is σ = 337032000. Its totient is φ = 57372480.

The previous prime is 144195371. The next prime is 144195409. The reversal of 144195400 is 4591441.

144195400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144195409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37989 + ... + 41611.

It is an arithmetic number, because the mean of its divisors is an integer number (7021500).

Almost surely, 2144195400 is an apocalyptic number.

144195400 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 144195400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168516000).

144195400 is an abundant number, since it is smaller than the sum of its proper divisors (192836600).

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

144195400 is a wasteful number, since it uses less digits than its factorization.

144195400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 144195400 is about 12008.1389065916. The cubic root of 144195400 is about 524.3852517194.

The spelling of 144195400 in words is "one hundred forty-four million, one hundred ninety-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 398 796 995 1592 1990 3623 3980 4975 7246 7960 9950 14492 18115 19900 28984 36230 39800 72460 90575 144920 181150 362300 720977 724600 1441954 2883908 3604885 5767816 7209770 14419540 18024425 28839080 36048850 72097700 144195400