Search a number
-
+
144124444013004 = 223371319771825097
BaseRepresentation
bin100000110001010010010110…
…010010011111000111001100
3200220022011101022022002211000
4200301102112102133013030
5122342313330131404004
61230305504444100300
742233435035663560
oct4061222622370714
9626264338262730
10144124444013004
1141a16919368754
12141b8348834690
136255b522c6790
142783935c676a0
15119e01a67bc39
hex83149649f1cc

144124444013004 has 192 divisors, whose sum is σ = 484088701465600. Its totient is φ = 36010271678976.

The previous prime is 144124444012973. The next prime is 144124444013041. The reversal of 144124444013004 is 400310444421441.

144124444013004 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 244 + 4 + 401 + 3 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×1441244440130042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144124444013004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385725817 + ... + 386099280.

Almost surely, 2144124444013004 is an apocalyptic number.

144124444013004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144124444013004 is an abundant number, since it is smaller than the sum of its proper divisors (339964257452596).

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

144124444013004 is a wasteful number, since it uses less digits than its factorization.

144124444013004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771825149 (or 771825141 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 144124444013004 its reverse (400310444421441), we get a palindrome (544434888434445).

The spelling of 144124444013004 in words is "one hundred forty-four trillion, one hundred twenty-four billion, four hundred forty-four million, thirteen thousand, four".