Search a number
-
+
4130453129472 = 28351071095693
BaseRepresentation
bin111100000110110010001…
…100010000100100000000
3112121212102101021022100000
4330012302030100210000
51020133132000120342
612441300505200000
7604262323212465
oct74066214204400
915555371238300
104130453129472
11135279612466a
12568614490000
1323c6668244c7
14103cb4a7d66c
15726989c944c
hex3c1b2310900

4130453129472 has 432 divisors, whose sum is σ = 12582188498880. Its totient is φ = 1351199563776.

The previous prime is 4130453129437. The next prime is 4130453129497. The reversal of 4130453129472 is 2749213540314.

4130453129472 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 4 + 53 + 129 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725529058 + ... + 725534750.

It is an arithmetic number, because the mean of its divisors is an integer number (29125436340).

Almost surely, 24130453129472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130453129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291094249440).

4130453129472 is an abundant number, since it is smaller than the sum of its proper divisors (8451735369408).

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

4130453129472 is a wasteful number, since it uses less digits than its factorization.

4130453129472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 4130453129472 its reverse (2749213540314), we get a palindrome (6879666669786).

The spelling of 4130453129472 in words is "four trillion, one hundred thirty billion, four hundred fifty-three million, one hundred twenty-nine thousand, four hundred seventy-two".