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4144417012 = 2217238833001
BaseRepresentation
bin1111011100000110…
…1100100011110100
3101200211110012100101
43313001230203310
531441432321022
61523125123444
7204462651301
oct36701544364
911624405311
104144417012
11183746292a
12977b59584
13510817378
142b45c80a8
15193ca0627
hexf706c8f4

4144417012 has 48 divisors (see below), whose sum is σ = 8024994432. Its totient is φ = 1862784000.

The previous prime is 4144416979. The next prime is 4144417021. The reversal of 4144417012 is 2107144414.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1379512 + ... + 1382512.

It is an arithmetic number, because the mean of its divisors is an integer number (167187384).

Almost surely, 24144417012 is an apocalyptic number.

It is an amenable number.

4144417012 is a deficient number, since it is larger than the sum of its proper divisors (3880577420).

4144417012 is a wasteful number, since it uses less digits than its factorization.

4144417012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 4144417012 is about 64377.1466593542. The cubic root of 4144417012 is about 1606.2796201758.

The spelling of 4144417012 in words is "four billion, one hundred forty-four million, four hundred seventeen thousand, twelve".

Divisors: 1 2 4 17 23 34 46 68 92 391 782 883 1564 1766 3001 3532 6002 12004 15011 20309 30022 40618 51017 60044 69023 81236 102034 138046 204068 276092 345253 690506 1173391 1381012 2346782 2649883 4693564 5299766 10599532 45048011 60947309 90096022 121894618 180192044 243789236 1036104253 2072208506 4144417012