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4144412010 = 235314456357
BaseRepresentation
bin1111011100000110…
…1011010101101010
3101200211102221111010
43313001223111222
531441432141020
61523125044350
7204462630564
oct36701532552
911624387433
104144412010
11183745a0a2
12977b566b6
13510814ccb
142b45c6334
15193c9dde0
hexf706b56a

4144412010 has 32 divisors (see below), whose sum is σ = 10267448832. Its totient is φ = 1069525440.

The previous prime is 4144411981. The next prime is 4144412017. The reversal of 4144412010 is 102144414.

It is a super-3 number, since 3×41444120103 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4144412017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2227249 + ... + 2229108.

It is an arithmetic number, because the mean of its divisors is an integer number (320857776).

Almost surely, 24144412010 is an apocalyptic number.

4144412010 is an abundant number, since it is smaller than the sum of its proper divisors (6123036822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4144412010 is a wasteful number, since it uses less digits than its factorization.

4144412010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456398.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4144412010 is about 64377.1078101525. The cubic root of 4144412010 is about 1606.2789739559.

Adding to 4144412010 its reverse (102144414), we get a palindrome (4246556424).

The spelling of 4144412010 in words is "four billion, one hundred forty-four million, four hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 4456357 8912714 13369071 22281785 26738142 44563570 66845355 133690710 138147067 276294134 414441201 690735335 828882402 1381470670 2072206005 4144412010