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141544144 = 2472180541
BaseRepresentation
bin10000110111111…
…00101011010000
3100212100012001201
420123330223100
5242213403034
622013440544
73336051100
oct1033745320
9325305051
10141544144
1172997235
123b4a0154
132342b141
1414b27200
15c65e014
hex86fcad0

141544144 has 30 divisors (see below), whose sum is σ = 319017714. Its totient is φ = 60661440.

The previous prime is 141544111. The next prime is 141544163. The reversal of 141544144 is 441445141.

141544144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 98247744 + 43296400 = 9912^2 + 6580^2 .

It is a hoax number, since the sum of its digits (28) 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 (28).

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, 89487 + ... + 91054.

Almost surely, 2141544144 is an apocalyptic number.

141544144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141544144 is an abundant number, since it is smaller than the sum of its proper divisors (177473570).

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

141544144 is a wasteful number, since it uses less digits than its factorization.

141544144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180563 (or 180550 counting only the distinct ones).

The product of its digits is 5120, while the sum is 28.

The square root of 141544144 is about 11897.2326193952. The cubic root of 141544144 is about 521.1514720024.

Adding to 141544144 its reverse (441445141), we get a palindrome (582989285).

The spelling of 141544144 in words is "one hundred forty-one million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 180541 361082 722164 1263787 1444328 2527574 2888656 5055148 8846509 10110296 17693018 20220592 35386036 70772072 141544144