Search a number
-
+
1314231545052 = 2232111732682571
BaseRepresentation
bin10011000111111110010…
…011011110110011011100
311122122021001111211220100
4103013332103132303130
5133013021233420202
62443425531021100
7163643611546356
oct23077623366334
94578231454810
101314231545052
114673a9499678
1219285959a790
1396c1568690a
14478756d60d6
15242bd54441c
hex131fe4decdc

1314231545052 has 36 divisors (see below), whose sum is σ = 3325059510136. Its totient is φ = 437684977440.

The previous prime is 1314231545051. The next prime is 1314231545113. The reversal of 1314231545052 is 2505451324131.

1314231545052 is a `hidden beast` number, since 1 + 3 + 142 + 3 + 1 + 5 + 4 + 505 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1314231544998 and 1314231545016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314231545051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16301074 + ... + 16381497.

Almost surely, 21314231545052 is an apocalyptic number.

1314231545052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314231545052 is an abundant number, since it is smaller than the sum of its proper divisors (2010827965084).

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

1314231545052 is a wasteful number, since it uses less digits than its factorization.

1314231545052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32683698 (or 32683693 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1314231545052 its reverse (2505451324131), we get a palindrome (3819682869183).

The spelling of 1314231545052 in words is "one trillion, three hundred fourteen billion, two hundred thirty-one million, five hundred forty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1117 2234 3351 4468 6702 10053 13404 20106 40212 32682571 65365142 98047713 130730284 196095426 294143139 392190852 588286278 1176572556 36506431807 73012863614 109519295421 146025727228 219038590842 328557886263 438077181684 657115772526 1314231545052