Search a number
-
+
1623150144 = 263371121109
BaseRepresentation
bin110000010111111…
…0100111001000000
311012010020120102000
41200233310321000
511311011301034
6425021424000
755136356110
oct14057647100
94163216360
101623150144
11763253800
1239370b000
131cb37cc95
141157dd040
1597773599
hex60bf4e40

1623150144 has 336 divisors, whose sum is σ = 5999683200. Its totient is φ = 421217280.

The previous prime is 1623150131. The next prime is 1623150161. The reversal of 1623150144 is 4410513261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463062 + ... + 1464170.

It is an arithmetic number, because the mean of its divisors is an integer number (17856200).

Almost surely, 21623150144 is an apocalyptic number.

1623150144 is a gapful number since it is divisible by the number (14) 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 1623150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999841600).

1623150144 is an abundant number, since it is smaller than the sum of its proper divisors (4376533056).

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

1623150144 is a wasteful number, since it uses less digits than its factorization.

1623150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1623150144 is about 40288.3375680854. The cubic root of 1623150144 is about 1175.2210585142.

The spelling of 1623150144 in words is "one billion, six hundred twenty-three million, one hundred fifty thousand, one hundred forty-four".