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144750400 = 265290469
BaseRepresentation
bin10001010000010…
…11011101000000
3101002101002012221
420220023131000
5244024003100
622210300424
73405233554
oct1050133500
9332332187
10144750400
1174787133
1240587714
1323cb1632
141531d864
15ca9401a
hex8a0b740

144750400 has 42 divisors (see below), whose sum is σ = 356180390. Its totient is φ = 57899520.

The previous prime is 144750383. The next prime is 144750433. The reversal of 144750400 is 4057441.

It can be written as a sum of positive squares in 3 ways, for example, as 16064064 + 128686336 = 4008^2 + 11344^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43635 + ... + 46834.

Almost surely, 2144750400 is an apocalyptic number.

144750400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144750400 is an abundant number, since it is smaller than the sum of its proper divisors (211429990).

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

144750400 is an equidigital number, since it uses as much as digits as its factorization.

144750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90491 (or 90476 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 144750400 is about 12031.2260389372. The cubic root of 144750400 is about 525.0571668664.

The spelling of 144750400 in words is "one hundred forty-four million, seven hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 90469 180938 361876 452345 723752 904690 1447504 1809380 2261725 2895008 3618760 4523450 5790016 7237520 9046900 14475040 18093800 28950080 36187600 72375200 144750400