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4145106147 = 3721310321059
BaseRepresentation
bin1111011100010001…
…0100110011100011
3101200212202012122220
43313010110303203
531442121344042
61523152002123
7204501551400
oct36704246343
911625665586
104145106147
111837893666
12978230343
135109c8c40
142b47272a7
15193d898ec
hexf7114ce3

4145106147 has 48 divisors (see below), whose sum is σ = 6991246080. Its totient is φ = 2165099328.

The previous prime is 4145106127. The next prime is 4145106149. The reversal of 4145106147 is 7416015414.

It is not a de Polignac number, because 4145106147 - 26 = 4145106083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4145106149) 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 47 ways as a sum of consecutive naturals, for example, 186304 + ... + 207362.

It is an arithmetic number, because the mean of its divisors is an integer number (145650960).

Almost surely, 24145106147 is an apocalyptic number.

4145106147 is a deficient number, since it is larger than the sum of its proper divisors (2846139933).

4145106147 is a wasteful number, since it uses less digits than its factorization.

4145106147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21192 (or 21185 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 4145106147 is about 64382.4987632509. The cubic root of 4145106147 is about 1606.3686461396.

The spelling of 4145106147 in words is "four billion, one hundred forty-five million, one hundred six thousand, one hundred forty-seven".

Divisors: 1 3 7 13 21 39 49 91 103 147 273 309 637 721 1339 1911 2163 4017 5047 9373 15141 21059 28119 63177 65611 147413 196833 273767 442239 821301 1031891 1916369 2169077 3095673 5749107 6507231 13414583 15183539 28198001 40243749 45550617 84594003 106284773 197386007 318854319 592158021 1381702049 4145106147