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4144606965 = 32592102377
BaseRepresentation
bin1111011100001001…
…1010111011110101
3101200211210211220200
43313002122323311
531442004410330
61523133151113
7204464402142
oct36702327365
911624724820
104144606965
111837582614
1297802b499
13510882975
142b46373c9
15193cdba60
hexf709aef5

4144606965 has 12 divisors (see below), whose sum is σ = 7183985484. Its totient is φ = 2210457024.

The previous prime is 4144606931. The next prime is 4144606993. The reversal of 4144606965 is 5696064414.

It is a happy number.

4144606965 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 970073316 + 3174533649 = 31146^2 + 56343^2 .

It is not a de Polignac number, because 4144606965 - 28 = 4144606709 is a prime.

It is a super-2 number, since 2×41446069652 = 34355533788653022450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 92102377 = 4144606965 / (4 + 1 + 4 + 4 + 6 + 0 + 6 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 4144606965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46051144 + ... + 46051233.

It is an arithmetic number, because the mean of its divisors is an integer number (598665457).

Almost surely, 24144606965 is an apocalyptic number.

4144606965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4144606965 is a deficient number, since it is larger than the sum of its proper divisors (3039378519).

4144606965 is a wasteful number, since it uses less digits than its factorization.

4144606965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92102388 (or 92102385 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4144606965 is about 64378.6219563606. The cubic root of 4144606965 is about 1606.3041602555.

The spelling of 4144606965 in words is "four billion, one hundred forty-four million, six hundred six thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 92102377 276307131 460511885 828921393 1381535655 4144606965