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4144102004 = 2272324126701
BaseRepresentation
bin1111011100000001…
…1111101001110100
3101200210212012020102
43313000133221310
531441342231004
61523114253232
7204460200020
oct36700375164
911623765212
104144102004
111837268199
12977a27218
13510736b83
142b4545380
15193c3c11e
hexf701fa74

4144102004 has 48 divisors (see below), whose sum is σ = 8684772096. Its totient is φ = 1691712000.

The previous prime is 4144101961. The next prime is 4144102007. The reversal of 4144102004 is 4002014414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144102007) 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, 141854 + ... + 168554.

It is an arithmetic number, because the mean of its divisors is an integer number (180932752).

Almost surely, 24144102004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144102004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342386048).

4144102004 is an abundant number, since it is smaller than the sum of its proper divisors (4540670092).

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

4144102004 is a wasteful number, since it uses less digits than its factorization.

4144102004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26976 (or 26974 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4144102004 is about 64374.7000303691. The cubic root of 4144102004 is about 1606.2389225538.

Adding to 4144102004 its reverse (4002014414), we get a palindrome (8146116418).

The spelling of 4144102004 in words is "four billion, one hundred forty-four million, one hundred two thousand, four".

Divisors: 1 2 4 7 14 23 28 46 92 161 241 322 482 644 964 1687 3374 5543 6748 11086 22172 26701 38801 53402 77602 106804 155204 186907 373814 614123 747628 1228246 2456492 4298861 6434941 8597722 12869882 17195444 25739764 45044587 90089174 148003643 180178348 296007286 592014572 1036025501 2072051002 4144102004