Search a number
-
+
5401509444 = 2232150041929
BaseRepresentation
bin1010000011111010…
…00111111001000100
3111221102220002222100
411001331013321010
542030241300234
62251553032100
7250566033642
oct50175077104
914842802870
105401509444
112322013aa1
121068b55630
136810ab246
1439353a192
15219317399
hex141f47e44

5401509444 has 18 divisors (see below), whose sum is σ = 13653815630. Its totient is φ = 1800503136.

The previous prime is 5401509439. The next prime is 5401509473. The reversal of 5401509444 is 4449051045.

It can be written as a sum of positive squares in only one way, i.e., 4978713600 + 422795844 = 70560^2 + 20562^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 150041929 = 5401509444 / (5 + 4 + 0 + 1 + 5 + 0 + 9 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 5401509399 and 5401509408.

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, 75020929 + ... + 75021000.

Almost surely, 25401509444 is an apocalyptic number.

It is an amenable number.

5401509444 is an abundant number, since it is smaller than the sum of its proper divisors (8252306186).

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

5401509444 is a wasteful number, since it uses less digits than its factorization.

5401509444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150041939 (or 150041934 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5401509444 is about 73494.9620314209. The cubic root of 5401509444 is about 1754.5740958852.

The spelling of 5401509444 in words is "five billion, four hundred one million, five hundred nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 150041929 300083858 450125787 600167716 900251574 1350377361 1800503148 2700754722 5401509444