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4005413143 = 97101340763
BaseRepresentation
bin1110111010111101…
…1100000100010111
3101100010220001212221
43232233130010113
531200341210033
61501241523211
7201154310224
oct35657340427
911303801787
104005413143
111775a511a6
129394a3507
134baa98564
1429dd6294b
1518699412d
hexeebdc117

4005413143 has 8 divisors (see below), whose sum is σ = 4050800208. Its totient is φ = 3960109824.

The previous prime is 4005413141. The next prime is 4005413147. The reversal of 4005413143 is 3413145004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4005413143 - 21 = 4005413141 is a prime.

It is a super-2 number, since 2×40054131432 = 32086668892234276898, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005413141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77880 + ... + 118642.

It is an arithmetic number, because the mean of its divisors is an integer number (506350026).

Almost surely, 24005413143 is an apocalyptic number.

4005413143 is a deficient number, since it is larger than the sum of its proper divisors (45387065).

4005413143 is a wasteful number, since it uses less digits than its factorization.

4005413143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41873.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4005413143 is about 63288.3333877580. Note that the first 4 decimals coincide. The cubic root of 4005413143 is about 1588.1167982699.

Adding to 4005413143 its reverse (3413145004), we get a palindrome (7418558147).

The spelling of 4005413143 in words is "four billion, five million, four hundred thirteen thousand, one hundred forty-three".

Divisors: 1 97 1013 40763 98261 3954011 41292919 4005413143