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3416006143 = 1119411013947
BaseRepresentation
bin1100101110011100…
…0001110111111111
322211001211002111001
43023213001313333
523443444144033
61322544511131
7150436400404
oct31347016777
98731732431
103416006143
1114a3278a80
127b401b4a7
1342593b414
142459762ab
1514ed69e7d
hexcb9c1dff

3416006143 has 32 divisors (see below), whose sum is σ = 4059175680. Its totient is φ = 2841120000.

The previous prime is 3416006141. The next prime is 3416006147.

3416006143 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3416006143 - 21 = 3416006141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416006141) 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, 863496 + ... + 867442.

It is an arithmetic number, because the mean of its divisors is an integer number (126849240).

Almost surely, 23416006143 is an apocalyptic number.

3416006143 is a deficient number, since it is larger than the sum of its proper divisors (643169537).

3416006143 is a wasteful number, since it uses less digits than its factorization.

3416006143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3416006143 is about 58446.6093370693. The cubic root of 3416006143 is about 1506.0505452672.

It can be divided in two parts, 341600 and 6143, that added together give a palindrome (347743).

The spelling of 3416006143 in words is "three billion, four hundred sixteen million, six thousand, one hundred forty-three".

Divisors: 1 11 19 41 101 209 451 779 1111 1919 3947 4141 8569 21109 43417 45551 74993 78679 161827 398647 824923 865469 1780097 3074713 4385117 7574293 16344527 33821843 83317223 179789797 310546013 3416006143