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4244400144 = 243276938329
BaseRepresentation
bin1111110011111100…
…0110100000010000
3101221210120212102100
43330333012200100
532143031301034
61541100120400
7210115543305
oct37477064020
911853525370
104244400144
111888942716
129a5536100
1352845329a
142c39b30ac
1519c950099
hexfcfc6810

4244400144 has 60 divisors (see below), whose sum is σ = 11894182300. Its totient is φ = 1412923392.

The previous prime is 4244400107. The next prime is 4244400161. The reversal of 4244400144 is 4410044424.

4244400144 is a `hidden beast` number, since 4 + 244 + 400 + 14 + 4 = 666.

4244400144 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 2 ways, for example, as 1841439744 + 2402960400 = 42912^2 + 49020^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91572 + ... + 129900.

Almost surely, 24244400144 is an apocalyptic number.

It is an amenable number.

4244400144 is an abundant number, since it is smaller than the sum of its proper divisors (7649782156).

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

4244400144 is a wasteful number, since it uses less digits than its factorization.

4244400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39112 (or 39103 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4244400144 is about 65149.0609602318. The cubic root of 4244400144 is about 1619.0941620824.

Adding to 4244400144 its reverse (4410044424), we get a palindrome (8654444568).

The spelling of 4244400144 in words is "four billion, two hundred forty-four million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 769 1538 2307 3076 4614 6152 6921 9228 12304 13842 18456 27684 36912 38329 55368 76658 110736 114987 153316 229974 306632 344961 459948 613264 689922 919896 1379844 1839792 2759688 5519376 29475001 58950002 88425003 117900004 176850006 235800008 265275009 353700012 471600016 530550018 707400024 1061100036 1414800048 2122200072 4244400144