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144819400 = 23521165827
BaseRepresentation
bin10001010000111…
…00010011001000
3101002111120212111
420220130103020
5244033210100
622211552104
73405641665
oct1050342310
9332446774
10144819400
1174823a60
12405bb634
1324006b6b
141533aa6c
15caa96ba
hex8a1c4c8

144819400 has 48 divisors (see below), whose sum is σ = 367320240. Its totient is φ = 52660800.

The previous prime is 144819397. The next prime is 144819401. The reversal of 144819400 is 4918441.

It is not an unprimeable number, because it can be changed into a prime (144819401) 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, 30714 + ... + 35113.

It is an arithmetic number, because the mean of its divisors is an integer number (7652505).

Almost surely, 2144819400 is an apocalyptic number.

144819400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144819400 is an abundant number, since it is smaller than the sum of its proper divisors (222500840).

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

144819400 is a wasteful number, since it uses less digits than its factorization.

144819400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65854 (or 65845 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 144819400 is about 12034.0932354706. The cubic root of 144819400 is about 525.1405821557.

The spelling of 144819400 in words is "one hundred forty-four million, eight hundred nineteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 65827 131654 263308 329135 526616 658270 724097 1316540 1448194 1645675 2633080 2896388 3291350 3620485 5792776 6582700 7240970 13165400 14481940 18102425 28963880 36204850 72409700 144819400