Search a number
-
+
1314032004024 = 233106031516371
BaseRepresentation
bin10011000111110010011…
…010010010101110111000
311122121202011001010001220
4103013302122102232320
5133012114143112044
62443354042112040
7163635636513165
oct23076232225670
94577664033056
101314032004024
1146730689a533
121928027ab620
1396bb32304bc
1447856dd306c
15242aac7b019
hex131f2692bb8

1314032004024 has 32 divisors (see below), whose sum is σ = 3285117354240. Its totient is φ = 438005688800.

The previous prime is 1314032004023. The next prime is 1314032004079. The reversal of 1314032004024 is 4204002304131.

It is a super-3 number, since 3×13140320040243 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1314032003985 and 1314032004003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314032004023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2286559 + ... + 2802929.

It is an arithmetic number, because the mean of its divisors is an integer number (102659917320).

Almost surely, 21314032004024 is an apocalyptic number.

It is an amenable number.

1314032004024 is an abundant number, since it is smaller than the sum of its proper divisors (1971085350216).

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

1314032004024 is a wasteful number, since it uses less digits than its factorization.

1314032004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622411 (or 622407 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1314032004024 its reverse (4204002304131), we get a palindrome (5518034308155).

The spelling of 1314032004024 in words is "one trillion, three hundred fourteen billion, thirty-two million, four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 106031 212062 318093 424124 516371 636186 848248 1032742 1272372 1549113 2065484 2544744 3098226 4130968 6196452 12392904 54751333501 109502667002 164254000503 219005334004 328508001006 438010668008 657016002012 1314032004024