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1408144100 = 2252111280131
BaseRepresentation
bin101001111101110…
…1001001011100100
310122010200010120012
41103323221023210
510340441102400
6351421225352
746616012246
oct12373511344
93563603505
101408144100
11662951560
12333702258
1319597067c
14d5032096
1583952d35
hex53ee92e4

1408144100 has 36 divisors (see below), whose sum is σ = 3333463728. Its totient is φ = 512052000.

The previous prime is 1408144079. The next prime is 1408144117. The reversal of 1408144100 is 14418041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 638966 + ... + 641165.

Almost surely, 21408144100 is an apocalyptic number.

1408144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1408144100 is an abundant number, since it is smaller than the sum of its proper divisors (1925319628).

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

1408144100 is a wasteful number, since it uses less digits than its factorization.

1408144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280156 (or 1280149 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 1408144100 is about 37525.2461684131. The cubic root of 1408144100 is about 1120.8539671195.

The spelling of 1408144100 in words is "one billion, four hundred eight million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1280131 2560262 5120524 6400655 12801310 14081441 25602620 28162882 32003275 56325764 64006550 70407205 128013100 140814410 281628820 352036025 704072050 1408144100