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3417007143 = 311461224611
BaseRepresentation
bin1100101110101011…
…0110010000100111
322211010200221121010
43023222312100213
523444223212033
61323022153303
7150451036644
oct31352662047
98733627533
103417007143
1114a38a2050
127b4422833
13425bcbc24
14245b56dcb
1514eeb6863
hexcbab6427

3417007143 has 16 divisors (see below), whose sum is σ = 4980995712. Its totient is φ = 2066412000.

The previous prime is 3417007109. The next prime is 3417007183.

3417007143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3417007143 - 29 = 3417006631 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3417007143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3417007183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97093 + ... + 127518.

It is an arithmetic number, because the mean of its divisors is an integer number (311312232).

Almost surely, 23417007143 is an apocalyptic number.

3417007143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3417007143 is a deficient number, since it is larger than the sum of its proper divisors (1563988569).

3417007143 is a wasteful number, since it uses less digits than its factorization.

3417007143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225086.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 3417007143 is about 58455.1720808347. The cubic root of 3417007143 is about 1506.1976380321.

It can be divided in two parts, 341700 and 7143, that added together give a palindrome (348843).

The spelling of 3417007143 in words is "three billion, four hundred seventeen million, seven thousand, one hundred forty-three".

Divisors: 1 3 11 33 461 1383 5071 15213 224611 673833 2470721 7412163 103545671 310637013 1139002381 3417007143