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144300400 = 2452715081
BaseRepresentation
bin10001001100111…
…01100101110000
3101001112012221021
420212131211300
5243420103100
622152505224
73401350606
oct1046354560
9331465837
10144300400
11744aa032
12403ab214
1323b8486a
1415243876
15ca05a1a
hex899d970

144300400 has 60 divisors (see below), whose sum is σ = 351633744. Its totient is φ = 56896000.

The previous prime is 144300353. The next prime is 144300439. The reversal of 144300400 is 4003441.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25860 + ... + 30940.

Almost surely, 2144300400 is an apocalyptic number.

144300400 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 144300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175816872).

144300400 is an abundant number, since it is smaller than the sum of its proper divisors (207333344).

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

144300400 is a wasteful number, since it uses less digits than its factorization.

144300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 144300400 is about 12012.5101456773. The cubic root of 144300400 is about 524.5125028713.

Adding to 144300400 its reverse (4003441), we get a palindrome (148303841).

The spelling of 144300400 in words is "one hundred forty-four million, three hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 1136 1420 1775 2840 3550 5081 5680 7100 10162 14200 20324 25405 28400 40648 50810 81296 101620 127025 203240 254050 360751 406480 508100 721502 1016200 1443004 1803755 2032400 2886008 3607510 5772016 7215020 9018775 14430040 18037550 28860080 36075100 72150200 144300400