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4144410010 = 2513291099313
BaseRepresentation
bin1111011100000110…
…1010110110011010
3101200211102211202001
43313001222312122
531441432110020
61523125031214
7204462622006
oct36701526632
911624384661
104144410010
111837458644
12977b5550a
13510814120
142b45c5706
15193c9d50a
hexf706ad9a

4144410010 has 32 divisors (see below), whose sum is σ = 8310813840. Its totient is φ = 1477475328.

The previous prime is 4144409999. The next prime is 4144410029. The reversal of 4144410010 is 100144414.

It can be written as a sum of positive squares in 8 ways, for example, as 1485254521 + 2659155489 = 38539^2 + 51567^2 .

It is a super-2 number, since 2×41444100102 = 34352268661976400200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4144410010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545887 + ... + 553426.

Almost surely, 24144410010 is an apocalyptic number.

4144410010 is an abundant number, since it is smaller than the sum of its proper divisors (4166403830).

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

4144410010 is a wasteful number, since it uses less digits than its factorization.

4144410010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099362.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4144410010 is about 64377.0922766787. The cubic root of 4144410010 is about 1606.2787155712.

Adding to 4144410010 its reverse (100144414), we get a palindrome (4244554424).

The spelling of 4144410010 in words is "four billion, one hundred forty-four million, four hundred ten thousand, ten".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 1885 3770 1099313 2198626 5496565 10993130 14291069 28582138 31880077 63760154 71455345 142910690 159400385 318800770 414441001 828882002 2072205005 4144410010