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4054405131 = 33742175087
BaseRepresentation
bin1111000110101001…
…0101000000001011
3101110120002010021000
43301222111000023
531300411431011
61510151550043
7202320606060
oct36152250013
911416063230
104054405131
1117a0673647
1295198b323
134c7c8cbba
142a6676c67
1518ae20356
hexf1a9500b

4054405131 has 32 divisors (see below), whose sum is σ = 6867578880. Its totient is φ = 2315798208.

The previous prime is 4054405099. The next prime is 4054405141. The reversal of 4054405131 is 1315044504.

It is a happy number.

4054405131 is a `hidden beast` number, since 40 + 544 + 0 + 51 + 31 = 666.

It is not a de Polignac number, because 4054405131 - 25 = 4054405099 is a prime.

It is a super-2 number, since 2×40544051312 = 32876401932558254322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4054405095 and 4054405104.

It is not an unprimeable number, because it can be changed into a prime (4054405141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794470 + ... + 799556.

It is an arithmetic number, because the mean of its divisors is an integer number (214611840).

Almost surely, 24054405131 is an apocalyptic number.

4054405131 is a deficient number, since it is larger than the sum of its proper divisors (2813173749).

4054405131 is a wasteful number, since it uses less digits than its factorization.

4054405131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4054405131 is about 63674.2108785025. The cubic root of 4054405131 is about 1594.5655641470.

Adding to 4054405131 its reverse (1315044504), we get a palindrome (5369449635).

The spelling of 4054405131 in words is "four billion, fifty-four million, four hundred five thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 4217 5087 12651 15261 29519 35609 37953 45783 88557 106827 113859 137349 265671 320481 797013 961443 21451879 64355637 150163153 193066911 450489459 579200733 1351468377 4054405131