Search a number
-
+
544415122253124 = 22342416972172561
BaseRepresentation
bin111101111001001001000010…
…1111110001110010101000100
32122101121120120220221210010000
41323302102011332032111010
51032324144132244044444
65205512504322401300
7222446460150122223
oct17362220576162504
92571546526853100
10544415122253124
1114851617a703461
125108736ab00230
131a4a1183346885
149861b925a2cba
1542e17478d1469
hex1ef2485f8e544

544415122253124 has 60 divisors (see below), whose sum is σ = 1429114098723388. Its totient is φ = 180718712755200.

The previous prime is 544415122253081. The next prime is 544415122253131. The reversal of 544415122253124 is 421352221514445.

It is a happy number.

544415122253124 is a `hidden beast` number, since 5 + 4 + 4 + 4 + 1 + 512 + 2 + 2 + 5 + 3 + 124 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159134440522500 + 385280681730624 = 12614850^2 + 19628568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 544415122253124.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3486008197 + ... + 3486164364.

Almost surely, 2544415122253124 is an apocalyptic number.

544415122253124 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

544415122253124 is an abundant number, since it is smaller than the sum of its proper divisors (884698976470264).

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

544415122253124 is a wasteful number, since it uses less digits than its factorization.

544415122253124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972172818 (or 6972172807 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

Adding to 544415122253124 its reverse (421352221514445), we get a palindrome (965767343767569).

The spelling of 544415122253124 in words is "five hundred forty-four trillion, four hundred fifteen billion, one hundred twenty-two million, two hundred fifty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 324 482 723 964 1446 2169 2892 4338 6507 8676 13014 19521 26028 39042 78084 6972172561 13944345122 20916517683 27888690244 41833035366 62749553049 83666070732 125499106098 188248659147 250998212196 376497318294 564745977441 752994636588 1129491954882 1680293587201 2258983909764 3360587174402 5040880761603 6721174348804 10081761523206 15122642284809 20163523046412 30245284569618 45367926854427 60490569139236 90735853708854 136103780563281 181471707417708 272207561126562 544415122253124